Portrait of David, fotocredit Martina Lajczak

David Schrittesser

I am a Research Associate in statistics and mathematics at the University of Toronto.

I am also one of the organizers of the Set Theory Seminar at the Fields Institute.

News

Research Profile

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.

Students

Publications

At times, the list of papers on my arxiv author's page 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).

  1. Sigma^1_3-absoluteness in forcing extensions. Master's thesis, University of Vienna, 2004 (adviser: Sy Friedman).
  2. Lightface Sigma^1_2-indescribable cardinals. Proc. Amer. Math. Soc. 135 (2007), pp. 1213–1222.
  3. Projective measure without projective Baire. PhD thesis, University of Vienna, 2010 (adviser: Sy Friedman).
  4. (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.
  5. (joint with Sy Friedman) Projective measure without projective Baire. Memoirs of the American Mathematical Society 267 (2020), no. 1298, v+150 pp..
  6. (joint with Asger Törnquist) Definable maximal discrete sets in forcing extensions. Math. Res. Lett. 25(5), 1591–1612, 2018.
  7. (joint with Asger Törnquist and Vera Fischer) A co-analytic Cohen-indestructible maximal cofinitary group. The Journal of Symbolic Logic, 82(2), 627–641.
  8. Definable discrete sets with large continuum. (2016) 26 pages.
  9. On Horowitz and Shelah's maximal eventually different family. RIMS Kyôkyûroku No. 2042, 99–105.
  10. Compactness of maximal eventually different families. (2017) 9 pages. Bull. London Math. Soc. 50 (2018) 340–348.
  11. Research-led teaching in higher mathematics. In: Improving University Science Teaching and Learning—Pedagogical Projects 2019. Department of Science Education, University of Copenhagen.
  12. (joint with Karen Bakke Haga and Asger Törnquist) Maximal almost disjoint families, determinacy, and forcing. Journal of Mathematical Logic. 40 pages.
  13. (joint with Vera Fischer) A Sacks indestructible co-analytic maximal eventually different family. Fundamenta Mathematicae, 23 pages.
  14. (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.
  15. (joint with Vera Fischer, Sy Friedman, and Asger Törnquist) Good projective witnesses. (April 2019) 21 pages.
  16. (joint with Asger Törnquist) The Ramsey property implies no mad families. Proceedings of the National Academy of Sciences, 10 pages.
  17. (joint with Raphaël Carroy, Benjamin Miller, and Zoltán Vidnyánsky) Minimal definable graphs of definable chromatic number at least three. Forum Math. Sigma 9 (2021), Paper No. e7.
  18. (joint with Vera Fischer and Thilo Weinert) Definable MAD families and forcing axioms. (December 2019) 13 pages. Annals of Pure and Applied Logic, 172 (5).
  19. (joint with Asger Törnquist) The Ramsey property and higher dimensional mad families. (November 2018) 29 pages. Journal of Mathematical Logic
  20. Maximal discrete sets. RIMS Kôkyûroku No. 2164, pp. 64–84.
  21. (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.
  22. Constructing maximal cofinitary groups . (May 2021) 19 pages.
  23. (joint with Haosui Duanmu and Daniel M. Roy) Admissibility is Bayes optimality with infinitesimals.
  24. (joint with Haosui Duanmu and William Weiss) Loeb extension and Loeb equivalence II.

Upcoming and past talks and travel

Events I have helped organize

On World Logic Day, January 14th 2022, we had a series of talks at the Toronto Set Theory Seminar at Fields Institute.

A long time ago, the famous Young Set Theory Workshop put up its tent in Copenhagen, organized by Karen Bakke Haga, Vibeke Quorning, Asger Törnquist, and me. We acknowledge generous support from the DNRF Niels Bohr Professorship of Lars Hesselholt and from the University of Copenhagen.

A few Slides from long ago

Contact

email: david.schrittesser@utoronto.ca

(Note: david.schrittesser "at" univie.ac.at also still works)

Page last changed: May 13, 2022