Gunnar Wilken | Okinawa Institute of Science and Technology OIST

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<div class="container-wide "> <div class="flex flex-col space-y-2 lg:space-y-4 py-8 lg:pt-6 lg:pb-10 "> <h1 class="page-title text-center"> <budoux-ja>Gunnar Wilken</budoux-ja> </h1> </div> </div> <div id="paragraph-9700" class="paragraph paragraph--type--table-of-contents paragraph--view-mode--full"> <div class="container-body py-8 lg:py-10"> <div class="flex flex-col space-y-4"> <p class="text-gray-900 text-base lg:text-2xl text-center max-w-178 mx-auto closeable"> <budoux-ja>Table of Contents</budoux-ja> </p> </div> </div> <div class="container-body py-8 lg:py-10"> <div class="styled-body "> </div> </div> </div> <div id="paragraph-9703" class="paragraph paragraph--type--image-text-zoomable paragraph--view-mode--full"> <article class="image-text font-body pt-8 md:pt-15"> <div class="container-wide"> <div class="layout-one-third grid md:grid-cols-3 gap-6"> <div class="order-0 image-left md:order-first"> <div class="image relative group"> <picture> <img src="/sites/default/files/styles/image_text_no_crop/public/2024-10/stg_Wilken1030.jpg?itok=U2nuC6Wz" alt="Photo of Wilken" typeof="foaf:Image" /> </picture> </div> </div> <div class="md:col-span-2 gap-x-8 items-center md:items-start order-1"> <div class="w-full pt-4"> <div class="styled-body "> <div> <div class="clearfix text-formatted field field--name-field-body-text field--type-text-long field--label-hidden field__item"><div class="tex2jax_process"><h2>Profile</h2> <p>I am a mathematician, working as Science and Technology Associate (STA) at the Okinawa Institute of Science and Technology Graduate University (OIST) in Japan. My central research topic is mathematical logic, in particular proof theory, where I study structures called elementary patterns of resemblance and ordinal notation systems in general. My research interests furthermore cover topics in theoretical computer science, where I worked on term rewriting systems such as Gödel’s T, and logic programming. My past research also touched upon signal processing in the context of electron tomography of proteins, particularly on improvements in 3D reconstruction of biological molecules and related software development. My teaching experience covers various fields of mathematics and computer science (proof and set theory in mathematical logic, introduction to theoretical computer science, as well as discrete mathematics, Fourier transforms and tomography. In 2023 I earned the MIT IDSS certificate on Data Science and Machine Learning. I received my Diplom (comparable to Master’s degree), PhD (Dr. rer. nat.), and Habilitation (Priv.Doz.) in mathematics at the University of Münster in Germany. Please see <a href="/sites/default/files/2024-10/Wilken_CV_Nov2024_norefs.pdf">my CV</a> for detailed lists of publications, invited conference presentations, and teaching. For further questions, contact me via email: wilken@oist.jp.</p></div></div> </div> </div> </div> </div> </div> </div> </article> </div> <div id="paragraph-9701" class="paragraph paragraph--type--text paragraph--view-mode--full"> <div class="container-body py-8 lg:py-10"> <div class="styled-body "> <div> <div class="clearfix text-formatted field field--name-field-body-text field--type-text-long field--label-hidden field__item"><div class="tex2jax_process"><h2>Selected Publications:</h2> <h3><u>Peer-reviewed Articles</u></h3> <p>Wilken, G. (2024). Fundamental sequences based on localization.<br> <em>LNCS Proceedings of the 20th Conference on Computability in Europe (CiE):</em> <em>Twenty Years of Theoretical and Practical Synergies,</em> 324-338.</p> <p>Wilken, G. (2021). Pure Σ<sub>2</sub>-Elementarity beyond the Core.<br> <em>Annals of Pure and Applied Logic, </em>172, 1-93.<br> <a href="https://www.sciencedirect.com/science/article/pii/S0168007221000592/">https://www.sciencedirect.com/science/article/pii/S0168007221000592/</a></p> <p>Wilken, G. (2018). Pure Patterns of Order 2.<br> <em>Annals of Pure and Applied Logic,</em> 169, 54-82.<br> <a href="https://www.sciencedirect.com/science/article/pii/S0168007217301069?via%3Dihub">https://www.sciencedirect.com/science/article/pii/S0168007217301069?via%3Dihub</a></p> <p>Weiermann, A., Wilken, G. (2013). Goodstein sequences for prominent ordinals up to the ordinal of Π<sup>1</sup><sub>1</sub>-CA<sub>0</sub>.<br> <em>Annals of Pure and Applied Logic, </em>164, 1493-1506.</p> <p>Carlson, T.J., Wilken, G. (2012). Normal Forms for Elementary Patterns.<br> <em>The Journal of Symbolic Logic, </em>77, 174-194.</p> <p>Wilken, G., Weiermann, A. (2012). Derivation Lengths Classification of Gödel’s T extending Howard’s Assignment.<br> <em>Logical Methods in Computer Science, </em>8, 1-44.</p> <p>Carlson, T.J., Wilken, G. (2012). Tracking Chains of Σ<sub>2</sub>-elementarity.<br> <em>Annals of Pure and Applied Logic</em>, 163, 23-67.</p> <p>Wilken, G., Weiermann, A. (2011). Ordinal Arithmetic with Simultaneously defined Theta-Functions.<br> <em>Mathematical Logic Quarterly, </em>57, 116-132.</p> <p>Wilken, G., Weiermann, A. (2009). Complexity of Gödel’s T in lambda-Formulation.<br> <em>Lecture Notes in Computer Science, </em>5608, 386-400.</p> <p>Wilken, G. (2007). Assignment of Ordinals to Patterns of Resemblance.<br> <em>The Journal of Symbolic Logic, </em>72, 704-720.</p> <p>Wilken, G. (2007). Σ<sub>1</sub>-elementarity and Skolem Hull Operators.<br> <em>Annals of Pure and Applied Logic, </em>145, 162-175.</p> <p>Wilken, G. (2007). Ordinal Arithmetic based on Skolem Hulling.<br> <em>Annals of Pure and Applied Logic, </em>145, 130-161.</p> <p>Wilken, G. (2006). The Bachmann-Howard Structure in terms of Σ<sub>1</sub>-elementarity.<br> <em>Archive for Mathematical Logic, </em>45, 807-829.</p> <h3><u>Peer-reviewed Book Chapters</u></h3> <p>Wilken, G. (2020). A Glimpse of Σ<sub>3</sub>-Elementarity.<br> Invited, peer-reviewed book chapter in:Kahle, R., Rathjen, M. (eds.), <em>The Legacy of Kurt Schuette, 415-441. </em>Springer Nature Switzerland 2020.<br> <a href="https://link.springer.com/chapter/10.1007/978-3-030-49424-7_21">https://link.springer.com/chapter/10.1007/978-3-030-49424-7_21</a></p> <p>Wilken, G. (2017). Tracking Chains Revisited.<br> Invited, peer-reviewed book chapter in: Friedman, S.-D., Raghavan, D., Yang, Y. (eds.), <em>Sets and Computations</em>, 183-220. Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore 2017.<br> <a href="https://www.worldscientific.com/doi/abs/10.1142/9789813223523_0008">https://www.worldscientific.com/doi/abs/10.1142/9789813223523_0008</a></p> <h3><u>Recent Preprints</u></h3> <p>Wilken, G. (2024). Fundamental Sequences based on Localization.<br> (Extended version of the LNCS Proceedings of CiE 2024 in Amsterdam containing complete proofs.)<br> <a href="https://arxiv.org/abs/2410.15953">https://arxiv.org/abs/2410.15953</a></p> <p> </p> <h2>Curriculum Vitae</h2> <figure role="group" class="caption caption-drupal-entity"> <div data-caption="CV" data-embed-button="document" data-entity-embed-display="view_mode:media.embed" data-entity-type="media" data-entity-uuid="92ea2bf0-38d2-472d-ae28-2634f535f7d7" data-langcode="en" data-entity-embed-display-settings="[]" class="embedded-entity"><article class="media media--type-document media--view-mode-embed"> <a href="https://www.oist.jp/sites/default/files/2024-10/Wilken_CV_Nov2024_norefs.pdf" class="inline-flex items-center" target="_blank" data-mime="application/pdf"> <img class="mr-4" src="/themes/custom/server_theme/dist/images/embed_pdf.svg" alt="application/pdf icon"> CV</a> </article> </div> <figcaption>CV</figcaption> </figure> 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