CINXE.COM
The Division of Physics, Mathematics and Astronomy
<!DOCTYPE html> <html lang="en" class="no-js"> <head> <meta charset="utf-8"> <meta http-equiv="X-UA-Compatible" content="IE=edge" /> <title> The Division of Physics, Mathematics and Astronomy </title> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="shortcut icon" href="/static/core/img/favicon-75.png?v=5.9.10"> <!-- Generic FavIcons --> <link rel="icon" href="/static/core/img/favicon-32.png?v=5.9.10" sizes="32x32"> <link rel="icon" href="/static/core/img/favicon-57.png?v=5.9.10" sizes="57x57"> <link rel="icon" href="/static/core/img/favicon-76.png?v=5.9.10" sizes="76x76"> <link rel="icon" href="/static/core/img/favicon-96.png?v=5.9.10" sizes="96x96"> <link rel="icon" href="/static/core/img/favicon-128.png?v=5.9.10" sizes="128x128"> <link rel="icon" href="/static/core/img/favicon-192.png?v=5.9.10" sizes="192x192"> <link rel="icon" href="/static/core/img/favicon-228.png?v=5.9.10" sizes="228x228"> <!-- Android --> <link rel="shortcut icon" sizes="196x196" href="/static/core/img/favicon-196.png?v=5.9.10"> <!-- iOS --> <link rel="apple-touch-icon" href="/static/core/img/favicon-120.png?v=5.9.10" sizes="120x120"> <link rel="apple-touch-icon" href="/static/core/img/favicon-152.png?v=5.9.10" sizes="152x152"> <link rel="apple-touch-icon" href="/static/core/img/favicon-180.png?v=5.9.10" sizes="180x180"> <!-- Windows 8 IE 10--> <meta name="msapplication-TileColor" content="#D14900"> <meta name="msapplication-TileImage" content="/static/core/img/favicon-144.png?v=5.9.10"> <!-- Windows 8.1 + IE11 and above --> <meta name="msapplication-config" content="/static/core/img/browserconfig.xml?v=5.9.10"> <!-- Base CSS --> <link rel="stylesheet" href="/static/CACHE/css/output.88e66f68b7f5.css" type="text/css"> <!-- End Base CSS --> <!-- Extra CSS --> <link rel="stylesheet" href="/static/CACHE/css/output.b34d6b6751cc.css" type="text/css"> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/featherlight/1.7.9/featherlight.min.css"> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/featherlight/1.7.9/featherlight.gallery.min.css"> <!-- End Extra CSS --> <!-- Global site tag (gtag.js) - Google Analytics --> <script async src="https://www.googletagmanager.com/gtag/js?id=G-ZH0LRM35DB"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-ZH0LRM35DB', {'anonymize_ip': true}); gtag('config', 'UA-41019357-1', {'anonymize_ip': true}); </script> <!-- End Google Analytics --> <!-- Base JS --> <script src="https://ajax.googleapis.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script> <script defer src="https://cdnjs.cloudflare.com/ajax/libs/underscore.js/1.9.1/underscore-min.js"></script> <script defer src="https://feeds.library.caltech.edu/scripts/CL.js"></script> <script defer src="https://feeds.library.caltech.edu/scripts/CL-doi-media.js"></script> <script defer src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script src="/static/CACHE/js/output.54b9aeca30a0.js"></script> <script src="/static/CACHE/js/output.a03bc91612c7.js" defer></script> <!-- End Base JS --> <!-- Extra JS --> <script defer src="https://cdnjs.cloudflare.com/ajax/libs/featherlight/1.7.9/featherlight.min.js"></script> <script defer src="https://cdnjs.cloudflare.com/ajax/libs/featherlight/1.7.9/featherlight.gallery.min.js"></script> <script src="/static/CACHE/js/output.4ab5ce81f955.js" defer></script> <!-- End Extra JS --> </head> <body class="caltech-sites header-style-full two-panel-menu "> <div data-sprite></div> <script src="/static/wagtailadmin/js/icons.js?v=67d44c5a" data-icon-url="/admin/sprite-86d4c82c/"></script> <div id="ct-pusher" class="ct-pushable ct-pusher closed"> <div class="skip-link"> <a href="#content" class="element-invisible element-focusable">Skip to main content</a> </div> <div class="ribbon"> <div class="ribbon__content responsive-container"> <div class="ribbon__breadcrumbs"> <a href="https://www.caltech.edu/">Caltech Home</a> > PMA Home </div> <ul class="ribbon__custom-menu custom-menu"> <li> <a href="/about/visiting-caltech">VIsit</a> </li> <li> <a href="http://directory.caltech.edu">Directory</a> </li> <li> <a href="http://access.caltech.edu">Access</a> </li> </ul> <div class="ribbon__search-control"> <img src="/static/core/img/search-mag-white.png" title="Search" alt="open search form"> </div> <form class="ribbon__search-form" action="/search" method="GET"> <label><span class="sr-only">Search input field</span><input class="ribbon__search-form__text" type="text" name="q" value="" autocorrect="off" autocapitalize="off" spellcheck="false" placeholder="Search this site"></label><input class="ribbon__search-form__submit" type="submit" value="Search"> </form> </div> </div> <div class="responsive-container"> <div class="ct-scroller clearfix"> <div class="ct-scroller-inner"> <div class="header clearfix"> <a class="header__wordmark-link" href="https://www.caltech.edu"><img src="/static/core/img/caltech-new-logo.png" alt="Caltech"></a><div class="header__site-title header__site-title--multiline"><a href="/"> The Division of Physics, <br>Mathematics and Astronomy </a></div> <div class="menu-burger-wrapper"> <img class="mobile-menu-burger dl-trigger" src="/static/core/img/menu-burger.png" alt="open menu"> <img class="mobile-menu-close dl-trigger" src="/static/core/img/menu-close.png" alt="close menu"> </div> </div> </div> <nav class="main-menu"> <div class="main-menu__two-panel-dropdown-menu two-panel-dropdown-menu"> <ul class="two-panel-dropdown-menu__menu-level-1 menu-level-1"> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="/about" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> About </a> <ul class="two-panel-dropdown-menu__menu-level-2 menu-level-2"> <li class="two-panel-dropdown-menu__filler--level-2"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/about/visiting-caltech" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Visiting PMA </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="https://pmadei.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Diversity, Equity, & Inclusion </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/about/contact-us" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Contact Us </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/about/contact-us#division" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Division Administration </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/about/contact-us#academic" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Academic Administration </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/about/contact-us#research" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Research Administration </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/about/contact-us#centers" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Research Center Directors </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/about/job-opportunities" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Job Opportunities </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/about/job-opportunities/faculty-positions" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Faculty Positions </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/about/job-opportunities/postdoctoral-positions" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Postdoctoral & Other Research Positions </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/about/job-opportunities/staff-positions" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Staff Positions </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/about/giving-to-pma" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Giving to PMA </a> </li> <li class="two-panel-dropdown-menu__filler--level-2"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="http://pma.caltech.edu/people" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> People </a> <ul class="two-panel-dropdown-menu__menu-level-2 menu-level-2"> <li class="two-panel-dropdown-menu__filler--level-2"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/people?cat_one=all&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Physics </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Professorial Faculty&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Professorial Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Emeritus Faculty&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Emeritus Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Research Faculty&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Research Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Lecturers&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Lecturers </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Visiting Associates&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Visiting Associates </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Postdoctoral Scholars&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Postdoctoral Scholars </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Graduate Students&cat_two=Physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Graduate Students </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/people?cat_one=all&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Mathematics </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Professorial Faculty&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Professorial Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Emeritus Faculty&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Emeritus Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Research Faculty&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Research Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Visiting Associates&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Visiting Associates </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Instructors&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Instructors </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Lecturers&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Lecturers </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Postdoctoral Scholars&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Postdoctoral Scholars </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Graduate Students&cat_two=Mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Graduate Students </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/people?cat_one=all&cat_two=Astronomy" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Astronomy </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Professorial Faculty&cat_two=Astronomy" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Professorial Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Emeritus Faculty&cat_two=Astronomy" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Emeritus Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Research Faculty&cat_two=Astronomy" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Research Faculty </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Visiting Associates&cat_two=Astronomy" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Visiting Associates </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Postdoctoral Scholars&cat_two=Astronomy" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Postdoctoral Scholars </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/people?cat_one=Graduate%20Students&cat_two=Astronomy" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Graduate Students </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__filler--level-2"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="/research-and-academics" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> Research & Academics </a> <ul class="two-panel-dropdown-menu__menu-level-2 menu-level-2"> <li class="two-panel-dropdown-menu__filler--level-2"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/research-and-academics/physics" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Physics </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/courses/department/Ph" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Physics Catalog Descriptions </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/physics/physics-course-schedule/physics-course-schedule-and-websites-2024-2025" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Physics Course Schedule </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/physics/physics-undergraduate-studies" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Physics Undergraduate Studies </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/physics/physics-graduate-studies" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Physics Graduate Studies </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/physics/physics-research" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Physics Research </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/research-and-academics/mathematics" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Mathematics </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/courses/department/ma" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Mathematics Catalog Descriptions </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/mathematics/mathematics-course-schedule/math-course-schedule-2024-2025" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Mathematics Course Schedule </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/mathematics/math-undergraduate-studies" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Mathematics Undergraduate Studies </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/mathematics/math-graduate-studies" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Mathematics Graduate Studies </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/mathematics/math-research" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Mathematics Research </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="http://www.astro.caltech.edu/ " class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Astronomy </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/courses/department/ay" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Astronomy Catalog Descriptions </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/research-and-academics/astronomy/astronomy-course-schedule/astronomy-course-schedule-and-websites-2024-2025" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Astronomy Course Schedule </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="https://www.astro.caltech.edu/academics/undergraduate-program" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Astronomy Undergraduate Studies </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="https://www.astro.caltech.edu/academics/graduate-program" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Astronomy Graduate Studies </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.astro.caltech.edu/research/ " class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Astronomy Research </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__filler--level-2"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="/news-events" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> News & Events </a> <ul class="two-panel-dropdown-menu__menu-level-2 menu-level-2"> <li class="two-panel-dropdown-menu__filler--level-2"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="http://www.caltech.edu/calendar" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Caltech Calendar </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/calendar/week" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> PMA Event Calendar </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/news-events/physics-colloquium" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Physics Colloquium </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/news-events/seminars" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Seminar List </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/news-events/awards-honors" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Awards & Honors </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/news" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Division News </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/news?tag=mathematics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Math News </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/news?tag=astronomy" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Astronomy News </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/news?tag=physics" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Physics News </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/news-events/coronavirus" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Coronavirus (COVID-19) Updates and Information </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/news-events/pma-newsletter" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> PMA Newsletter </a> </li> <li class="two-panel-dropdown-menu__filler--level-2"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="/facilities" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> Facilities </a> <ul class="two-panel-dropdown-menu__menu-level-2 menu-level-2"> <li class="two-panel-dropdown-menu__filler--level-2"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/facilities/observational-facilities" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Observational Facilities </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.astro.caltech.edu/chajnantor/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Chajnantor Observatory </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.ligo.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Laser Interferometer Gravitational-Wave Observatory (LIGO) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.ovro.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Owens Valley Radio Observatory (OVRO) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.astro.caltech.edu/palomar/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Palomar Observatory </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.keckobservatory.org/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> W. M. Keck Observatory </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/facilities/research-centers-institutes" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Research Centers & Institutes </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://cd3.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Center for Data-Driven Discovery (CDDD) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.ipac.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Infrared Processing and Analysis Center (IPAC) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://iqim.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Institute for Quantum Information and Matter (IQIM) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://kiss.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Keck Institute for Space Studies (KISS) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://www.srl.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Space Radiation Laboratory (SRL) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://wbitp.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Walter Burke Institute for Theoretical Physics (WBITP) </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__filler--level-2"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="/resources-programs/division-resources/" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> Resources & Programs </a> <ul class="two-panel-dropdown-menu__menu-level-2 menu-level-2"> <li class="two-panel-dropdown-menu__filler--level-2"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/resources-programs/division-resources" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Division Resources </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/division-resources/pma-conference-rooms" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> PMA Conference Rooms and Outdoor Spaces </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/division-resources/high-bay" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> High Bay </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/division-resources/libraries" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Libraries </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/resources-programs/studentprograms" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> PMA Student Programs Office </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/studentprograms/student-programs-team" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Student Programs Team </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/studentprograms/pma-graduate-student-advisory-board" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> PMA Graduate Student Advisory Board </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/studentprograms/pma-undergraduate-student-advisory-board" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> PMA Undergraduate Student Advisory Board </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="http://pmatas.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> PMA Teaching Assistant Resources </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/studentprograms/campus-resources-students" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Campus Resources for students </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/studentprograms/advising-resources" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Student Programs & Advising Resources </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/resources-programs/postdoctoral-scholars" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Postdoctoral Scholars </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="https://pmadei.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Diversity, Equity, & Inclusion </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/resources-programs/gwipma" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Gender Minorities & Women in PMA (GWiPMA) </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="https://physics.clubs.caltech.edu/" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Caltech Physics Club </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/resources-programs/funding-opportunities" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Funding Opportunities </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/resources-programs/archives" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Archives </a> <ul class="two-panel-dropdown-menu__menu-level-3 menu-level-3"> <li class="two-panel-dropdown-menu__filler--level-3"></li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-3 js-menu-item js-menu-item--level-3"> <a href="/resources-programs/archives/events" class="two-panel-dropdown-menu__item__link--level-3 js-menu-item__link--level-3"> Events </a> </li> <li class="two-panel-dropdown-menu__filler--level-3"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="https://www.youtube.com/channel/UClGTZDyz3CSl92TgDqIr0nw" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Caltech Video Archive </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-2 js-menu-item js-menu-item--level-2"> <a href="/resources-programs/logo-and-digital-assets" class="two-panel-dropdown-menu__item__link--level-2 js-menu-item__link--level-2"> Logo and Digital Assets </a> </li> <li class="two-panel-dropdown-menu__filler--level-2"></li> </ul> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="/gcqpm" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> GCQPM </a> </li> <li class="two-panel-dropdown-menu__item two-panel-dropdown-menu__item--level-1 js-menu-item js-menu-item--level-1"> <a href="/quick-links-for-postdocs" class="two-panel-dropdown-menu__item__link--level-1 js-menu-item__link--level-1"> Quick Links for Postdocs </a> </li> </ul> </div> </nav> <nav class="mobile-menu"> <div id="js-explorer" class="explorer dl-menuwrapper"> <ul class="dl-menu"> <li class="has-children"> <a href="/about">About</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/about/visiting-caltech">Visiting PMA</a> </li> <li > <a href="https://pmadei.caltech.edu/">Diversity, Equity, & Inclusion</a> </li> <li class="has-children"> <a href="/about/contact-us">Contact Us</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/about/contact-us#division">Division Administration</a> </li> <li > <a href="/about/contact-us#academic">Academic Administration</a> </li> <li > <a href="/about/contact-us#research">Research Administration</a> </li> <li > <a href="/about/contact-us#centers">Research Center Directors</a> </li> </ul> </li> <li class="has-children"> <a href="/about/job-opportunities">Job Opportunities</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/about/job-opportunities/faculty-positions">Faculty Positions</a> </li> <li > <a href="/about/job-opportunities/postdoctoral-positions">Postdoctoral & Other Research Positions</a> </li> <li > <a href="/about/job-opportunities/staff-positions">Staff Positions</a> </li> </ul> </li> <li > <a href="/about/giving-to-pma">Giving to PMA</a> </li> </ul> </li> <li class="has-children"> <a href="http://pma.caltech.edu/people">People</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li class="has-children"> <a href="/people?cat_one=all&cat_two=Physics">Physics</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/people?cat_one=Professorial Faculty&cat_two=Physics">Professorial Faculty</a> </li> <li > <a href="/people?cat_one=Emeritus Faculty&cat_two=Physics">Emeritus Faculty</a> </li> <li > <a href="/people?cat_one=Research Faculty&cat_two=Physics">Research Faculty</a> </li> <li > <a href="/people?cat_one=Lecturers&cat_two=Physics">Lecturers</a> </li> <li > <a href="/people?cat_one=Visiting Associates&cat_two=Physics">Visiting Associates</a> </li> <li > <a href="/people?cat_one=Postdoctoral Scholars&cat_two=Physics">Postdoctoral Scholars</a> </li> <li > <a href="/people?cat_one=Graduate Students&cat_two=Physics">Graduate Students</a> </li> </ul> </li> <li class="has-children"> <a href="/people?cat_one=all&cat_two=Mathematics">Mathematics</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/people?cat_one=Professorial Faculty&cat_two=Mathematics">Professorial Faculty</a> </li> <li > <a href="/people?cat_one=Emeritus Faculty&cat_two=Mathematics">Emeritus Faculty</a> </li> <li > <a href="/people?cat_one=Research Faculty&cat_two=Mathematics">Research Faculty</a> </li> <li > <a href="/people?cat_one=Visiting Associates&cat_two=Mathematics">Visiting Associates</a> </li> <li > <a href="/people?cat_one=Instructors&cat_two=Mathematics">Instructors</a> </li> <li > <a href="/people?cat_one=Lecturers&cat_two=Mathematics">Lecturers</a> </li> <li > <a href="/people?cat_one=Postdoctoral Scholars&cat_two=Mathematics">Postdoctoral Scholars</a> </li> <li > <a href="/people?cat_one=Graduate Students&cat_two=Mathematics">Graduate Students</a> </li> </ul> </li> <li class="has-children"> <a href="/people?cat_one=all&cat_two=Astronomy">Astronomy</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/people?cat_one=Professorial Faculty&cat_two=Astronomy">Professorial Faculty</a> </li> <li > <a href="/people?cat_one=Emeritus Faculty&cat_two=Astronomy">Emeritus Faculty</a> </li> <li > <a href="/people?cat_one=Research Faculty&cat_two=Astronomy">Research Faculty</a> </li> <li > <a href="/people?cat_one=Visiting Associates&cat_two=Astronomy">Visiting Associates</a> </li> <li > <a href="/people?cat_one=Postdoctoral Scholars&cat_two=Astronomy">Postdoctoral Scholars</a> </li> <li > <a href="/people?cat_one=Graduate%20Students&cat_two=Astronomy">Graduate Students</a> </li> </ul> </li> </ul> </li> <li class="has-children"> <a href="/research-and-academics">Research & Academics</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li class="has-children"> <a href="/research-and-academics/physics">Physics</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/courses/department/Ph">Physics Catalog Descriptions</a> </li> <li class="has-children"> <a href="/research-and-academics/physics/physics-course-schedule/physics-course-schedule-and-websites-2024-2025">Physics Course Schedule</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/research-and-academics/physics/physics-course-schedule/physics-course-schedule-and-websites-2024-2025">2024-2025 Physics Course Schedule and Websites</a> </li> <li > <a href="/research-and-academics/physics/physics-course-schedule/physics-course-schedule-and-websites-2023-2024">2023-2024 Physics Course Schedule and Websites</a> </li> </ul> </li> <li > <a href="/research-and-academics/physics/physics-undergraduate-studies">Physics Undergraduate Studies</a> </li> <li > <a href="/research-and-academics/physics/physics-graduate-studies">Physics Graduate Studies</a> </li> <li > <a href="/research-and-academics/physics/physics-research">Physics Research</a> </li> </ul> </li> <li class="has-children"> <a href="/research-and-academics/mathematics">Mathematics</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/courses/department/ma">Mathematics Catalog Descriptions</a> </li> <li class="has-children"> <a href="/research-and-academics/mathematics/mathematics-course-schedule/math-course-schedule-2024-2025">Mathematics Course Schedule</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/research-and-academics/mathematics/mathematics-course-schedule/math-course-schedule-2024-2025">2024-2025 Math Course Schedule</a> </li> <li > <a href="/research-and-academics/mathematics/mathematics-course-schedule/math-course-schedule-2023-2024">2023-2024 Math Course Schedule</a> </li> <li > <a href="/research-and-academics/mathematics/mathematics-course-schedule/math-course-schedule-and-websites-2022-2023">2022-2023 Math Course Schedule</a> </li> </ul> </li> <li > <a href="/research-and-academics/mathematics/math-undergraduate-studies">Mathematics Undergraduate Studies</a> </li> <li > <a href="/research-and-academics/mathematics/math-graduate-studies">Mathematics Graduate Studies</a> </li> <li > <a href="/research-and-academics/mathematics/math-research">Mathematics Research</a> </li> </ul> </li> <li class="has-children"> <a href="http://www.astro.caltech.edu/ ">Astronomy</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/courses/department/ay">Astronomy Catalog Descriptions</a> </li> <li class="has-children"> <a href="/research-and-academics/astronomy/astronomy-course-schedule/astronomy-course-schedule-and-websites-2024-2025">Astronomy Course Schedule</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/research-and-academics/astronomy/astronomy-course-schedule/astronomy-course-schedule-and-websites-2024-2025">2024-2025 Astronomy Course Schedule and Websites</a> </li> <li > <a href="/research-and-academics/astronomy/astronomy-course-schedule/astronomy-course-schedule-and-websites-2023-2024">2023-2024 Astronomy Course Schedule and Websites</a> </li> <li > <a href="/research-and-academics/astronomy/astronomy-course-schedule/astronomy-course-schedule-and-websites-2022-2023">2022-2023 Astronomy Course Schedule and Websites</a> </li> </ul> </li> <li > <a href="https://www.astro.caltech.edu/academics/undergraduate-program">Astronomy Undergraduate Studies</a> </li> <li > <a href="https://www.astro.caltech.edu/academics/graduate-program">Astronomy Graduate Studies</a> </li> <li > <a href="http://www.astro.caltech.edu/research/ ">Astronomy Research</a> </li> </ul> </li> </ul> </li> <li class="has-children"> <a href="/news-events">News & Events</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="http://www.caltech.edu/calendar">Caltech Calendar</a> </li> <li > <a href="/calendar/week">PMA Event Calendar</a> </li> <li > <a href="/news-events/physics-colloquium">Physics Colloquium</a> </li> <li > <a href="/news-events/seminars">Seminar List</a> </li> <li > <a href="/news-events/awards-honors">Awards & Honors</a> </li> <li class="has-children"> <a href="/news">Division News</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/news?tag=mathematics">Math News</a> </li> <li > <a href="/news?tag=astronomy">Astronomy News</a> </li> <li > <a href="/news?tag=physics">Physics News</a> </li> </ul> </li> <li > <a href="/news-events/coronavirus">Coronavirus (COVID-19) Updates and Information</a> </li> <li > <a href="/news-events/pma-newsletter">PMA Newsletter</a> </li> </ul> </li> <li class="has-children"> <a href="/facilities">Facilities</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li class="has-children"> <a href="/facilities/observational-facilities">Observational Facilities</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="http://www.astro.caltech.edu/chajnantor/">Chajnantor Observatory</a> </li> <li > <a href="http://www.ligo.caltech.edu/">Laser Interferometer Gravitational-Wave Observatory (LIGO)</a> </li> <li > <a href="http://www.ovro.caltech.edu/">Owens Valley Radio Observatory (OVRO)</a> </li> <li > <a href="http://www.astro.caltech.edu/palomar/">Palomar Observatory</a> </li> <li > <a href="http://www.keckobservatory.org/">W. M. Keck Observatory</a> </li> </ul> </li> <li class="has-children"> <a href="/facilities/research-centers-institutes">Research Centers & Institutes</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="http://cd3.caltech.edu/">Center for Data-Driven Discovery (CDDD)</a> </li> <li > <a href="http://www.ipac.caltech.edu/">Infrared Processing and Analysis Center (IPAC)</a> </li> <li > <a href="http://iqim.caltech.edu/">Institute for Quantum Information and Matter (IQIM)</a> </li> <li > <a href="http://kiss.caltech.edu/">Keck Institute for Space Studies (KISS)</a> </li> <li > <a href="http://www.srl.caltech.edu/">Space Radiation Laboratory (SRL)</a> </li> <li > <a href="http://wbitp.caltech.edu/">Walter Burke Institute for Theoretical Physics (WBITP)</a> </li> </ul> </li> </ul> </li> <li class="has-children"> <a href="/resources-programs/division-resources/">Resources & Programs</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li class="has-children"> <a href="/resources-programs/division-resources">Division Resources</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/resources-programs/division-resources/pma-conference-rooms">PMA Conference Rooms and Outdoor Spaces</a> </li> <li > <a href="/resources-programs/division-resources/high-bay">High Bay</a> </li> <li > <a href="/resources-programs/division-resources/libraries">Libraries</a> </li> </ul> </li> <li class="has-children"> <a href="/resources-programs/studentprograms">PMA Student Programs Office</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/resources-programs/studentprograms/student-programs-team">Student Programs Team</a> </li> <li class="has-children"> <a href="/resources-programs/studentprograms/pma-graduate-student-advisory-board">PMA Graduate Student Advisory Board</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/resources-programs/studentprograms/pma-graduate-student-advisory-board/pma-graduate-student-advisory-board-meeting-minutes-archive">PMA Graduate Student Advisory Board Meeting Minutes Archive</a> </li> </ul> </li> <li class="has-children"> <a href="/resources-programs/studentprograms/pma-undergraduate-student-advisory-board">PMA Undergraduate Student Advisory Board</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/resources-programs/studentprograms/pma-undergraduate-student-advisory-board/pma-undergraduate-student-advisory-board-archived-minutes">PMA Undergraduate Student Advisory Board Archived Minutes</a> </li> </ul> </li> <li > <a href="http://pmatas.caltech.edu/">PMA Teaching Assistant Resources</a> </li> <li class="has-children"> <a href="/resources-programs/studentprograms/campus-resources-students">Campus Resources for students</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/resources-programs/studentprograms/campus-resources-students/student-programs-office-zoom-recordings">Student Programs Office Zoom Recordings</a> </li> </ul> </li> <li > <a href="/resources-programs/studentprograms/advising-resources">Student Programs & Advising Resources</a> </li> </ul> </li> <li > <a href="/resources-programs/postdoctoral-scholars">Postdoctoral Scholars</a> </li> <li > <a href="https://pmadei.caltech.edu/">Diversity, Equity, & Inclusion</a> </li> <li > <a href="/resources-programs/gwipma">Gender Minorities & Women in PMA (GWiPMA)</a> </li> <li > <a href="https://physics.clubs.caltech.edu/">Caltech Physics Club</a> </li> <li > <a href="/resources-programs/funding-opportunities">Funding Opportunities</a> </li> <li class="has-children"> <a href="/resources-programs/archives">Archives</a> <div class="children"> <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> <ul class="dl-submenu"> <li > <a href="/resources-programs/archives/events">Events</a> </li> </ul> </li> <li > <a href="https://www.youtube.com/channel/UClGTZDyz3CSl92TgDqIr0nw">Caltech Video Archive</a> </li> <li > <a href="/resources-programs/logo-and-digital-assets">Logo and Digital Assets</a> </li> </ul> </li> <li > <a href="/gcqpm">GCQPM</a> </li> <li > <a href="/quick-links-for-postdocs">Quick Links for Postdocs</a> </li> </ul> </div> </nav> <nav class="secondary-menu"> </nav> </div> <section id="content" data-page-id="4361" class="content flex-page"> <div class="block-FancyRichTextBlock"> <div class="fancy-rich-text text-color-white bg " > <div class="rich-text"><center><h2>Conference Room & Outdoor Collaboration Space Reservations</h2><div>coming soon!</div></center></div> <div class="background-image-container"> <img alt="grey background" class="background-image" decoding="async" height="584" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/pma/images/grey_bg.original.jpg" width="2126"> </div> </div> </div> <div class="block-SpacerBlock"><div class="spacer spacer--25"></div> </div> <div class="block-four_column_layout"> <div class="row-wrapper regular-width " > <div class="row gutter-12px"> <div class="four-col-item grid-item col-md-3 col-sm-3"> <section class="block-ImagePanelBlock"> <div class="image-panel-link "> <a class="image-panel-link__image-link" href="/research-and-academics/physics"> <span class="wrapper-expander"></span> <span class="sr-only">Physics</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/Alicea-Jason_and_Lee-Shu-Ping.b64757ce.fill-425x529-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/Alicea-Jason_and_Lee-Shu-Ping.b64757ce.fill-241x300-c100.jpg" media="(min-width: 500px)"> <img alt="" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/pma/images/Alicea-Jason_and_Lee-Shu-Ping.b64757ce.fill-241x300-c100.jpg" width="241"> </picture> <div class="image-panel-link__text-gradient"> <div class="image-panel-link__title"> Physics <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> </section> </div> <div class="four-col-item grid-item col-md-3 col-sm-3"> <section class="block-ImagePanelBlock"> <div class="image-panel-link "> <a class="image-panel-link__image-link" href="/research-and-academics/mathematics"> <span class="wrapper-expander"></span> <span class="sr-only">Math</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/math_matilde_marcolli.cb6f4f81.fill-425x529-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/math_matilde_marcolli.cb6f4f81.fill-241x300-c100.jpg" media="(min-width: 500px)"> <img alt="" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/pma/images/math_matilde_marcolli.cb6f4f81.fill-241x300-c100.jpg" width="241"> </picture> <div class="image-panel-link__text-gradient"> <div class="image-panel-link__title"> Math <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> </section> </div> <div class="four-col-item grid-item col-md-3 col-sm-3"> <section class="block-ImagePanelBlock"> <div class="image-panel-link "> <a class="image-panel-link__image-link" href="http://www.astro.caltech.edu/"> <span class="wrapper-expander"></span> <span class="sr-only">Astronomy</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/moonjuplgs_a_28229.20aafdde.fill-425x529-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/moonjuplgs_a_28229.20aafdde.fill-241x300-c100.jpg" media="(min-width: 500px)"> <img alt="" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/pma/images/moonjuplgs_a_28229.20aafdde.fill-241x300-c100.jpg" width="241"> </picture> <div class="image-panel-link__text-gradient"> <div class="image-panel-link__title"> Astronomy <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> </section> </div> <div class="four-col-item grid-item col-md-3 col-sm-3"> <section class="block-CalloutBlock"> <div class="callout text-color-white bg bg-color-darkteal " style=" min-height: 300px; " > <h2 class="callout__title">Quick Links</h2> <div class="rich-text"><h4><a href="/quick-links-for-faculty">For Faculty<br/><br/></a><a href="/quick-links-for-students">For Students<br/><br/></a><a href="/quick-links-for-staff">For Staff<br/><br/></a><a href="/quick-links-for-postdocs">For Postdocs</a></h4></div> </div> </section> </div> </div> </div> </div> <div class="block-SpacerBlock"><div class="spacer spacer--12"></div> </div> <div class="block-two_column_layout"> <div class="row-wrapper regular-width " > <div class="row gutter-12px"> <div class="two-col-item grid-item col-md-6 col-sm-6"> <section class="block-VideoBlock"> <div class="video-block" style="max-height: 350px;" > <div class="embed-responsive embed-responsive-16by9"><iframe class="embed-responsive-item video-block__video" data-provider="YouTube" src="https://www.youtube.com/embed/bj363RAHBHM?feature=oembed&showinfo=0" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe></div> <div class="video-block__overlay"> <div class="video-block__title-banner"> <div class="video-block__title">PHYSICS</div> </div> </div> </div> </section> </div> <div class="two-col-item grid-item col-md-6 col-sm-6"> <section class="block-VideoBlock"> <div class="video-block" style="max-height: 350px;" > <div class="embed-responsive embed-responsive-16by9"><iframe class="embed-responsive-item video-block__video" data-provider="YouTube" src="https://www.youtube.com/embed/qZvczUOeh20?feature=oembed&showinfo=0" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe></div> <div class="video-block__overlay"> <div class="video-block__title-banner"> <div class="video-block__title">MATHEMATICS</div> </div> </div> </div> </section> </div> </div> </div> </div> <div class="block-SpacerBlock"><div class="spacer spacer--12"></div> </div> <div class="block-two_column_layout"> <div class="row-wrapper regular-width " > <div class="row gutter-12px"> <div class="two-col-item grid-item col-md-4 col-sm-4"> <section class="block-EventBlock"> <div class="event-listing event-listing--division-style event-listing--light-theme event-listing--background-img " > <img alt="" class="event-listing__background-image" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/pma/images/feynman-diagrams_0.2e16d0ba.fill-326x300-c100.jpg" width="326"> <div class="event-listing__content-wrapper listing-block-content"> <div class="event-listing__title-banner"> <div class="event-listing__title listing-block-title">Upcoming Events</div> </div> <div class="event-listing__event listing-block-item"> <span class="event-listing__event__date listing-block-entry1">Nov 27 | 3 PM</span> <span class="event-listing__event__location">in Linde Hall 187</span> <a class="event-listing__event__title listing-block-entry2" href="/calendar/97928">Analysis Seminar</a> </div> <div class="event-listing__event listing-block-item"> <span class="event-listing__event__date listing-block-entry1">Dec 2 | 4 PM</span> <span class="event-listing__event__location">in Online and In-Person Event</span> <a class="event-listing__event__title listing-block-entry2" href="/calendar/97640">High Energy Physics Seminar</a> </div> <div class="event-listing__event listing-block-item"> <span class="event-listing__event__date listing-block-entry1">Dec 3 | 1:30 PM</span> <span class="event-listing__event__location">in Online and In-Person Event</span> <a class="event-listing__event__title listing-block-entry2" href="/calendar/97703">Burke Institute Lecture Series</a> </div> </div> <a class="event-listing__archives-link listing-block-archives-link" href="/calendar"> More Events <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </a> </div> </section> </div> <div class="two-col-item grid-item col-md-8 col-sm-8"> <section class="block-NewsListingBlock"> <div id="3401d107-2550-491f-97b0-d57c1119e18c" class="news-slider image-carousel carousel carousel-fade slide" data-interval="4000" style="max-height: 300px;" > <div class="image-carousel__banner"> <div class="image-carousel__banner__header">Latest News</div> </div> <div class="image-carousel__inner carousel-inner"> <div class="image-carousel__item carousel-item active"> <a class="image-carousel__item__wrapper-link" href="/news/disk-surrounding-star-is-sizzling-hot"> <span class="wrapper-expander"></span> <span class="sr-only">Disk Surrounding Star is Sizzling Hot</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/STScI-01JCZXGZGXW27G4KT53K8N3.2e16d0ba.fill-425x192-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/STScI-01JCZXGZGXW27G4KT53K8N3.2e16d0ba.fill-663x300-c100.jpg" media="(min-width: 500px)"> <img alt="Artwork of a young FU Ori star surrounded by a swirling hot disk." class="image-carousel__item__image" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/root/images/STScI-01JCZXGZGXW27G4KT53K8N3.2e16d0ba.fill-663x300-c100.jpg" width="663"> </picture> <div class="image-carousel__item__text-wrapper"> <div class="image-carousel__item__text"> Disk Surrounding Star is Sizzling Hot <svg class="icon icon-arrow-right image-carousel__item__text__link-icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> <div class="image-carousel__item carousel-item "> <a class="image-carousel__item__wrapper-link" href="/news/conversation-with-franca-hoffmann"> <span class="wrapper-expander"></span> <span class="sr-only">For the Love of Partial Differential Equations: A Conversation with Franca Hoffmann</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/1Hoffman_Franca-Faculty-Profi.2e16d0ba.fill-425x192-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/1Hoffman_Franca-Faculty-Profi.2e16d0ba.fill-663x300-c100.jpg" media="(min-width: 500px)"> <img alt="Franca Hoffmann, with long light brown hair and glasses, wearing a white scarf and a light blue sweater, stands outside Beckman Auditorium on the Caltech campus." class="image-carousel__item__image" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/root/images/1Hoffman_Franca-Faculty-Profi.2e16d0ba.fill-663x300-c100.jpg" width="663"> </picture> <div class="image-carousel__item__text-wrapper"> <div class="image-carousel__item__text"> For the Love of Partial Differential Equations: A Conversation with Franca Hoffmann <svg class="icon icon-arrow-right image-carousel__item__text__link-icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> <div class="image-carousel__item carousel-item "> <a class="image-carousel__item__wrapper-link" href="/news/watson-lecture-katerina-chatziioannou-explores-struggle-between-matter-gravity-in-universe"> <span class="wrapper-expander"></span> <span class="sr-only">Watson Lecture: Katerina Chatziioannou Explores the Struggle Between Matter and Gravity in the Universe</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/CALTECH_KCHATZIIOANNOU_061824.2e16d0ba.fill-425x192-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/CALTECH_KCHATZIIOANNOU_061824.2e16d0ba.fill-663x300-c100.jpg" media="(min-width: 500px)"> <img alt="Image of Katerina Chatziioannou standing in front of chalk board holding books in grey blazer and burgandy blouse" class="image-carousel__item__image" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/root/images/CALTECH_KCHATZIIOANNOU_061824.2e16d0ba.fill-663x300-c100.jpg" width="663"> </picture> <div class="image-carousel__item__text-wrapper"> <div class="image-carousel__item__text"> Watson Lecture: Katerina Chatziioannou Explores the Struggle Between Matter and Gravity in the Universe <svg class="icon icon-arrow-right image-carousel__item__text__link-icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> <div class="image-carousel__item carousel-item "> <a class="image-carousel__item__wrapper-link" href="/news/when-squishy-space-goop-collides"> <span class="wrapper-expander"></span> <span class="sr-only">When "Squishy Space Goop" Collides</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/LIGO-VIRGO-Second-Neutron-Sta.85f8e813.fill-425x192-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/LIGO-VIRGO-Second-Neutron-Sta.85f8e813.fill-663x300-c100.jpg" media="(min-width: 500px)"> <img alt="Artwork of neutron stars." class="image-carousel__item__image" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/root/images/LIGO-VIRGO-Second-Neutron-Sta.85f8e813.fill-663x300-c100.jpg" width="663"> </picture> <div class="image-carousel__item__text-wrapper"> <div class="image-carousel__item__text"> When "Squishy Space Goop" Collides <svg class="icon icon-arrow-right image-carousel__item__text__link-icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> <div class="image-carousel__item carousel-item "> <a class="image-carousel__item__wrapper-link" href="/news/mighty-radio-bursts-linked-to-massive-galaxies"> <span class="wrapper-expander"></span> <span class="sr-only">Mighty Radio Bursts Linked to Massive Galaxies</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/Ravi_Vikram-Magnetars-Formati.2e16d0ba.fill-425x192-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/root/images/Ravi_Vikram-Magnetars-Formati.2e16d0ba.fill-663x300-c100.jpg" media="(min-width: 500px)"> <img alt="A photo montage of the DSA-110 radio telescopes with the FRB host galaxies in the sky." class="image-carousel__item__image" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/root/images/Ravi_Vikram-Magnetars-Formati.2e16d0ba.fill-663x300-c100.jpg" width="663"> </picture> <div class="image-carousel__item__text-wrapper"> <div class="image-carousel__item__text"> Mighty Radio Bursts Linked to Massive Galaxies <svg class="icon icon-arrow-right image-carousel__item__text__link-icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> </div> <a class="image-carousel__control image-carousel__control--prev carousel-control-prev" href="#3401d107-2550-491f-97b0-d57c1119e18c" role="button" data-slide="prev" > <span class="image-carousel__control__component carousel-control-prev-icon" aria-hidden="true"></span> <span class="image-carousel__control__component sr-only">Previous</span> </a> <a class="image-carousel__control image-carousel__control--next carousel-control-next" href="#3401d107-2550-491f-97b0-d57c1119e18c" role="button" data-slide="next" > <span class="image-carousel__control__component carousel-control-next-icon" aria-hidden="true"></span> <span class="image-carousel__control__component sr-only">Next</span> </a> </div> </section> </div> </div> </div> </div> <div class="block-SpacerBlock"><div class="spacer spacer--12"></div> </div> <div class="block-ImagePanelBlock"> <div class="image-panel-link top-level"> <a class="image-panel-link__image-link" href="/facilities"> <span class="wrapper-expander"></span> <span class="sr-only">Facilities and Resources</span> </a> <picture> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/LHC_at_CERN.8038eaae.fill-425x127-c100.jpg" media="(max-width: 499px)"> <source srcset="https://divisions-prod.s3.amazonaws.com/pma/images/LHC_at_CERN.8038eaae.fill-1000x300-c100.jpg" media="(min-width: 500px)"> <img alt="Photo of the Large Hadron Collider at CERN" decoding="async" height="300" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/pma/images/LHC_at_CERN.8038eaae.fill-1000x300-c100.jpg" width="1000"> </picture> <div class="image-panel-link__text-gradient"> <div class="image-panel-link__title"> Facilities and Resources <svg class="icon icon-arrow-right icon" aria-hidden="true"><use href="#icon-arrow-right"></use></svg> </div> </div> </div> </div> <div class="block-SpacerBlock"><div class="spacer spacer--12"></div> </div> <div class="block-FancyRichTextBlock"> <div class="fancy-rich-text text-color-white bg " > <div class="rich-text"><center><h2><a data-original-title="" href="/news-events/coronavirus" style="color:white;" title="">PMA COVID-19 Updates & Announcements</a></h2></center></div> <div class="background-image-container"> <img alt="orange block" class="background-image" decoding="async" height="270" loading="lazy" src="https://divisions-prod.s3.amazonaws.com/pma/images/bg3.original.jpg" width="1366"> </div> </div> </div> <div class="block-SpacerBlock"><div class="spacer spacer--12"></div> </div> <div class="block-RelatedLinksBlock"> <div class="related-links " > <div class="list-group related-links__list-group"> <a class="related-link list-group-item" href="/cdn-cgi/l/email-protection#94f0f1fafde7f1f8e1d4f7f5f8e0f1f7fcbaf1f0e1">Click here to request an update to any of the PMA web pages</a> </div> </div> </div> </section> </div> </div> <footer class="ct-pushable footer "> <div class="footer__content-wrapper responsive-container"> <ul class="footer__custom-menu custom-menu"> <li> <a href="/about/contact-us">Contact Us</a> </li> <li> <a href="/cdn-cgi/l/email-protection#4b3b262a143c2e290b282a273f2e2823652e2f3e">Feedback</a> </li> <li> <a href="/claimed-copyright-infringement">Claimed Copyright Infringement</a> </li> <li> <a href="https://www.caltech.edu/privacy-notice">Privacy Notice</a> </li> </ul> <div class="footer__login-status"> <a href="https://pma.caltech.edu/admin/login/">Log in</a> </div> <div class="footer__site-title"> <a class="footer__link footer__caltech-link" href="https://www.caltech.edu">Caltech</a> - The Division of Physics, Mathematics and Astronomy </div> <div class="footer__address"> 1200 E California Blvd, Pasadena CA 91125 </div> <div class="footer__other-contact-info"> </div> <div class="footer__copyright"> <a href="https://www.caltech.edu/claimed-copyright-infringement">Unless otherwise noted, all site content © 2024 California Institute of Technology</a> </div> </div> </footer> <script data-cfasync="false" src="/cdn-cgi/scripts/5c5dd728/cloudflare-static/email-decode.min.js"></script></body> </html>