David Schrittesser - 哈尔滨工业大学

个人简介

I currently hold the position of Professor at the Institute for Advanced Studies in Mathematics at Harbin Institute of Technology. Before that, I was Research Associate in statistics and mathematics at the University of Toronto. During my time there I was also main organizer of the Set Theory Seminar at the Fields Institute.

研究领域

My research is in mathematical logic; my primary interests are descriptive set theory, as well as infinite combinatorics, forcing, definability, and inner models. I am also interested in non-standard analysis and its applications, especially in probability theory and statistical decision theory.

近期论文

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Sigma^1_3-absoluteness in forcing extensions. Master's thesis, University of Vienna, 2004 (adviser: Sy Friedman). Lightface Sigma^1_2-indescribable cardinals. Proc. Amer. Math. Soc. 135 (2007), pp. 1213–1222. Projective measure without projective Baire. PhD thesis, University of Vienna, 2010 (adviser: Sy Friedman). (joint with Sy Friedman and Ralf Schindler) Coding over core models, in: Infinity, Computability, and Metaphysics (Geschke et al., eds.), Festschrift celebrating the 60th birthdays of Peter Koepke and Philip Welch, College Publications, pp. 167–182. (joint with Sy Friedman) Projective measure without projective Baire. Memoirs of the American Mathematical Society 267 (2020), no. 1298, v+150 pp.. (joint with Asger T?rnquist) Definable maximal discrete sets in forcing extensions. Math. Res. Lett. 25(5), 1591–1612, 2018. (joint with Asger T?rnquist and Vera Fischer) A co-analytic Cohen-indestructible maximal cofinitary group. The Journal of Symbolic Logic, 82(2), 627–641. Definable discrete sets with large continuum. (2016) 26 pages. On Horowitz and Shelah's maximal eventually different family. RIMS Ky?ky?roku No. 2042, 99–105. Compactness of maximal eventually different families. (2017) Bull. London Math. Soc. 50 (2018) 340–348. Research-led teaching in higher mathematics. In: Improving University Science Teaching and Learning—Pedagogical Projects 2019. Department of Science Education, University of Copenhagen. (joint with Karen Bakke Haga and Asger T?rnquist) Maximal almost disjoint families, determinacy, and forcing. Journal of Mathematical Logic. 40 pages. (joint with Vera Fischer) A Sacks indestructible co-analytic maximal eventually different family. Fundamenta Mathematicae, 23 pages. (joint with Sandra Müller, Philipp Schlicht, and Thilo Weinert) Lebesgue's density theorem and definable selectors for ideals. (2018) 28 pages. Israel Journal of Mathematics. (joint with Vera Fischer, Sy Friedman, and Asger T?rnquist) Good projective witnesses. (2019) 21 pages. (joint with Asger T?rnquist) The Ramsey property implies no mad families. Proceedings of the National Academy of Sciences, 10 pages. (joint with Rapha?l Carroy, Benjamin Miller, and Zoltán Vidnyánsky) Minimal definable graphs of definable chromatic number at least three. Forum Math. Sigma 9 (2021), Paper No. e7. (joint with Vera Fischer and Thilo Weinert) Definable MAD families and forcing axioms. (2019) 13 pages. Annals of Pure and Applied Logic, 172 (5). (joint with Asger T?rnquist) The Ramsey property and higher dimensional mad families. (2018) 29 pages. Maximal discrete sets. RIMS K?ky?roku No. 2164, pp. 64–84. (joint with Robert M. Anderson, Haosui Duanmu, and William Weiss) Loeb extension and Loeb equivalence . Proceedings of the American Mathematical Society, Series B, Volume 8, Issue 10, 112–120. Constructing maximal cofinitary groups . (2021) 30 pages. Nagoya Mathematical Journal. 30 pages. (joint with Haosui Duanmu and Daniel M. Roy) Admissibility is Bayes optimality with infinitesimals. 17 pages. (joint with Haosui Duanmu and William Weiss) Loeb extension and Loeb equivalence II. Fundamenta Mathematicae. 13 pages. (joint with Severin Mejak) Definability of maximal cofinitary groups. 23 pages. (joint with Haosui Duanmu and Daniel M. Roy) Statistical minimax theorems via nonstandard analysis 22 pages.