Natasha Dobrinen



Ph.D. in Mathematics, University of Minnesota - July 2001
B.A. in Mathematics, High Honors, University of California, Berkeley - May 1996

Research Groups

Discrete Math, Operations Research, and Probability, Logic, Topology

Research Area



Research Interests

Ramsey theory of infinite relational structures and connections with forcing methods; canonical Ramsey theory for equivalence relations on relational structures; ultrafilters and Tukey and Rudin-Keisler structures; topological Ramsey space theory and applications to combinatorics and to ultrafilters.

Selected Publications

  • Infinite-dimensional Ramsey theory for homogeneous structures with SDAP^+, 30 pp. Submitted. arxiv:2203.00169
  • (with M. Balko, D. Chodounsky, J. Hubicka, M. Konecny, L. Vena, and A. Zucker)  Exact big Ramsey degrees via coding trees, 97 pp. Submitted. arXiv:2110.08409  
  • The Ramsey theory of Henson graphs. Journal of Mathematical Logic, To appear. 78 pp. arXiv:1901.06660  
  • The Ramsey theory of the universal homogeneous triangle-free graph. Journal of Mathematical Logic, 23 (2023), no. 1, Paper No. 2250018, 88 pp.
  • (with S. Todorcevic) A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1. Transactions of the American Mathematical Society, 366 (2014), no. 3, 1659–1684. 

Phone: 574-631-9013
Fax: 574-631-6579
Office: 272 Hurley Bldg

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