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<h1>David Schrittesser</h1>
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<p> I am a Research Associate in statistics and mathematics at the <ahref="https://www.utoronto.ca/">University of Toronto.</a></p>
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</p> I am also one of the organizers of the <ahref="http://www.fields.utoronto.ca/activities/21-22/set-theory-seminar">Set Theory Seminar at the Fields Institute</a>.</p>
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<p> I work as <ahref="https://www.utsc.utoronto.ca/cms/david-schrittesser">Research Associate</a> in statistics and mathematics at the <ahref="https://www.utoronto.ca/">University of Toronto</a>,
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and soon also at the <ahref="http://im.hit.edu.cn/en/">Institute for Advanced Studies in Mathematics</a> at <ahref="http://www.hit.edu.cn/">Harbin Institute of Technology</a>, where I have a position as Professor.
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</p>
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<p>Until recently, I was the main organizer of the <ahref="http://www.fields.utoronto.ca/activities/21-22/set-theory-seminar">Set Theory Seminar at the Fields Institute</a>.</p>
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<h2>News</h2>
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<p>
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<ul>
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<li>
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I've started a book project with <ahref="http://danroy.org/">Dan M. Roy</a> and <ahref="https://hyperfinite.net/">Haosui Duanmu</a> based on my lecture notes for the course I taught at University of Toronto, about nonstandard analysis and statistical decisions theory.
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I gave a talk at <ahref="">SETTOP 2022</a> in Novi Sad about applications of nonstandard analysis in statistics.
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<li>I gave a <ahref="https://ps-mathematik.univie.ac.at/e/index.php?event=stc22&page=talk-details&id=1263"> talk at the <ahref="https://ps-mathematik.univie.ac.at/e/index.php?event=stc22">36th Summer Topology Conference</a> about the internal probability measures giving rise to a fixed Loeb measure.
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</li>
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I gave a talk at the <ahref="https://www.esi.ac.at/events/e429/"> Set Theory workshop at the Erwin Schrödinger Institute</a> about the descriptive set theory of maximal independent sets. The talk was even recorded and you can <ahref="https://youtu.be/yVef10Hrnyo">watch it</a>.
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</li>
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I gave a talk at <ahref="https://gravitypull.swoogo.com/bff7/Home">BFF7</a> about my joint paper with <ahref="http://danroy.org/">Dan M. Roy</a> and <ahref="https://hyperfinite.net/">Haosui Duanmu</a> in which we <ahref="https://arxiv.org/abs/2112.14257">characterize admissibility</a> in statistical decision problems.
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I will teach a course on non-standard analysis with lots of applications next semester (Fall 2022). Feel free to contact me if you are interested in attending.
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<ahref="https://www.dropbox.com/s/9fh2vcei3ahw6v8/ISBA-talk-schrittesser.mp4?dl=0">Here is a 11 minute long talk</a> I gave at the virtual ISBA 2021 conference. It is about
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a weaker, earlier form of the characterization of admissibility mentioned above, but still contains interesting background information.
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</li>
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<ahref="http://www.fields.utoronto.ca/talks/taste-nonstandard-analysis-and-statistical-decision-theory">Here is a talk I gave</a> at the Fields Institute Set Theory Seminar, also about admissibility, intended for an audience with a background in set theory (recorded on zoom).
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<ahref="http://www.fields.utoronto.ca/talks/taste-nonstandard-analysis-and-statistical-decision-theory">Here is a talk I gave</a> at the Fields Institute Set Theory Seminar, also about applications of nonstandard analysis in statistics, intended for an audience with a background in set theory (recorded on zoom).
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</li>
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<li> My joint paper with Karen Bakke Haga and <ahref="http://www.math.ku.dk/%7Easgert/">Asger
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Törnquist</a> about <ahref="https://doi.org/10.1142/S0219061321500264">Maximal almost disjoint families, determinacy, and forcing</a> has appeared in the
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<h2>Students</h2>
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<ul>
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<li> Severin Mejak (PhD, ongoing). I am co-advising Severin with Asger Törnquist.
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<li> Severin Mejak (PhD, ongoing). I am co-advising Severin with Asger Törnquist. Severin has submitted his thesis in December 2022 and will defend in Febraury, 2023.
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<li> Karen Bakke Haga, PhD thesis, title: Maximal almost disjoint families, determinacy, and forcing. Karen defended on June 3, 2019. I co-advised her with Asger Törnquist. </li>
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<section>
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<h2>Publications</h2>
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<p>
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At times, the list of papers on my <ahref="https://arxiv.org/a/schrittesser_d_1.html">arxiv author's page<a>
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may be more up-to-date than the list below. The list at my arxiv page also lacks the first four items from the list below (my two theses, and two published research articles) as well as Item 11 (an article about teaching mathematics which I wrote as part of a pedadogy course at University of Copenhagen).
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All my mathematical publications are freely available at my <ahref="https://arxiv.org/a/schrittesser_d_1.html">arxiv author's page<a>. The list below moreover contains my master's and doctoral theses as well as an article about teaching mathematics which I wrote as part of a pedadogy course at University of Copenhagen (Item 11 below).
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</p>
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<ahref="files/mthesis.pdf">Sigma^1_3-absoluteness in forcing extensions.</a> Master's thesis, University of Vienna, 2004 (adviser: <ahref="http://www.logic.univie.ac.at/%7Esdf/">Sy Friedman</a>).
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<ahref="http://www.ams.org/journals/proc/2007-135-04/S0002-9939-06-08571-6/S0002-9939-06-08571-6.pdf">Lightface Sigma^1_2-indescribable cardinals.</a> Proc. Amer. Math. Soc.
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135 (2007), pp. 1213–1222.
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</li>
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<li> Projective measure without projective Baire. PhD thesis, University
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<li> Projective measure without projective Baire. PhD thesis, University
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of Vienna, 2010 (adviser: <ahref="http://www.logic.univie.ac.at/%7Esdf/">Sy Friedman</a>).
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</li>
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<li> (joint with <ahref="http://www.logic.univie.ac.at/%7Esdf/">Sy Friedman</a> and <ahref="http://wwwmath.uni-muenster.de/u/rds/">Ralf Schindler</a>) <ahref="files/fri-schi-schr-coding-K.pdf">Coding over core models</a>, in: Infinity, Computability,
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and Metaphysics (Geschke et al., eds.), <ahref="http://www.collegepublications.co.uk/tributes/?00023">Festschrift</a> celebrating the 60th birthdays of Peter Koepke and Philip Welch, College Publications, pp. 167–182.
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</li>
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<li> (joint with <ahref="http://www.logic.univie.ac.at/%7Esdf/">Sy Friedman</a>) <ahref="http://arxiv.org/abs/1401.6808">Projective measure without projective Baire</a>. <ahref="https://doi.org/10.1090/memo/1298">Memoirs of the American Mathematical Society 267 (2020), no. 1298, v+150 pp.</a>.
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<li> (joint with <ahref="http://www.logic.univie.ac.at/%7Esdf/">Sy Friedman</a>) <ahref="http://arxiv.org/abs/1401.6808">Projective measure without projective Baire</a>. <ahref="https://doi.org/10.1090/memo/1298">Memoirs of the American Mathematical Society 267 (2020), no. 1298, v+150 pp.</a>.
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<li> (joint with <ahref="http://www.math.ku.dk/%7Easgert/">Asger
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<li> (joint with <ahref="http://www.math.ku.dk/%7Easgert/">Asger
<li><ahref="https://arxiv.org/abs/1703.01806">On Horowitz and Shelah's maximal eventually different family.</a><ahref="http://www.ipc.shizuoka.ac.jp/~styorio/rims16/">RIMS</a><ahref="http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2042.html">Kyôkyûroku No. 2042</a>, 99–105.
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<li><ahref="https://arxiv.org/abs/1703.01806">On Horowitz and Shelah's maximal eventually different family.</a><ahref="http://www.ipc.shizuoka.ac.jp/~styorio/rims16/">RIMS</a><ahref="http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2042.html">Kyôkyûroku No. 2042</a>, 99–105.
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<li><ahref="https://arxiv.org/abs/1704.04751">Compactness of maximal eventually different families</a>. (2017) 9 pages. <ahref="http://onlinelibrary.wiley.com/wol1/doi/10.1112/blms.12139/abstract">Bull. London Math. Soc. 50 (2018) 340–348</a>.</li>
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<li> Research-led teaching in higher mathematics. In: <ahref="https://www.ind.ku.dk/publikationer/up_projekter/2019---vol.-13/Hoveddokument.pdf">Improving University Science Teaching and Learning—Pedagogical Projects 2019. Department of Science Education, University of Copenhagen</a>.
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<li><ahref="https://arxiv.org/abs/1704.04751">Compactness of maximal eventually different families</a>. (2017) <ahref="http://onlinelibrary.wiley.com/wol1/doi/10.1112/blms.12139/abstract">Bull. London Math. Soc. 50 (2018) 340–348</a>.</li>
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<li> Research-led teaching in higher mathematics. In: <ahref="https://www.ind.ku.dk/publikationer/up_projekter/2019---vol.-13/Hoveddokument.pdf">Improving University Science Teaching and Learning—Pedagogical Projects 2019. Department of Science Education, University of Copenhagen</a>.
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<li>(joint with Karen Bakke Haga and <ahref="http://www.math.ku.dk/%7Easgert/">Asger
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<li>(joint with Karen Bakke Haga and <ahref="http://www.math.ku.dk/%7Easgert/">Asger
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Törnquist</a>) <ahref="https://arxiv.org/abs/1810.03016">Maximal almost disjoint families, determinacy, and forcing</a>. <ahref="https://doi.org/10.1142/S0219061321500264">
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Journal of Mathematical Logic. </a> 40 pages.
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<li>(joint with Sandra Müller, Philipp Schlicht, and Thilo Weinert) <ahref="https://arxiv.org/abs/1811.06489">Lebesgue's density theorem and definable selectors for ideals.</a> (2018) 28 pages. <ahref="https://link.springer.com/article/10.1007/s11856-022-2312-8">Israel Journal of Mathematics</a>.
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<li>(joint with <ahref="http://www.logic.univie.ac.at/%7Evfischer/">Vera Fischer</a>, <ahref="http://www.logic.univie.ac.at/%7Esdf/">Sy Friedman</a>, and <ahref="http://www.math.ku.dk/%7Easgert/">Asger
<li>(joint with <ahref="http://www.math.ku.dk/%7Easgert/">Asger
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Törnquist</a>) <ahref="https://arxiv.org/abs/1904.05824">The Ramsey property implies no mad families</a>. <ahref="https://doi.org/10.1073/pnas.1906183116">Proceedings of the National Academy of Sciences</a>, 10 pages.
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<li> (joint with Raphaël Carroy, Benjamin Miller, and Zoltán Vidnyánsky) <ahref="https://arxiv.org/abs/1906.08373">Minimal definable graphs of definable chromatic number at least three</a>. <ahref="https://doi.org/10.1017/fms.2020.58">Forum Math. Sigma 9 (2021), Paper No. e7.</a>
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<li>(joint with Vera Fischer and Thilo Weinert) <ahref="https://arxiv.org/abs/1912.12815">Definable MAD families and forcing axioms</a>. (December 2019) 13 pages. <ahref="https://doi.org/10.1016/j.apal.2020.102909">Annals of Pure and Applied Logic, 172 (5)</a>.
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<li>(joint with Vera Fischer and Thilo Weinert) <ahref="https://arxiv.org/abs/1912.12815">Definable MAD families and forcing axioms</a>. (2019) 13 pages. <ahref="https://doi.org/10.1016/j.apal.2020.102909">Annals of Pure and Applied Logic, 172 (5)</a>.
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<li>(joint with <ahref="http://www.math.ku.dk/%7Easgert/">Asger
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Törnquist</a>) <ahref="https://arxiv.org/abs/2003.10944">The Ramsey property and higher dimensional mad families</a>. (November 2018) 29 pages. <ahref="https://doi.org/10.1142/S0219061321500264">Journal of Mathematical Logic</a>
<li><ahref="https://arxiv.org/abs/2012.14638">Maximal discrete sets.</a><ahref="http://hdl.handle.net/2433/261451">RIMS Kôkyûroku No. 2164, pp. 64–84.</a>
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<li> (joint with Robert M. Anderson, Haosui Duanmu, and William Weiss) <ahref="https://arxiv.org/abs/2010.01842">Loeb extension and Loeb equivalence </a>. <ahref="https://doi.org/10.1090/bproc/78"> Proceedings of the American Mathematical Society, Series B, Volume 8, Issue 10, 112–120</a>.
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<ahref="https://arxiv.org/abs/2105.11318"> Constructing maximal cofinitary groups </a>. (May 2021) 19 pages.
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<ahref="https://arxiv.org/abs/2105.11318"> Constructing maximal cofinitary groups </a>. (2021) 19 pages.
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<li> (joint with Haosui Duanmu and Daniel M. Roy) <ahref="https://arxiv.org/abs/2112.14257">Admissibility is Bayes optimality with infinitesimals</a>.
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<i>(Note: david.schrittesser "at" univie.ac.at also still works)</i>
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<p><i>Page last changed: May 13, 2022</i></p></div>
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<p><i>Page last changed: December 2022</i></p></div>
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