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Natasha Dobrinen

Professor

Education

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

Set Theory, Ramsey Theory, Topology

Research Interests

Ramsey theory of infinite relationals structures and connections with forcing methods; canonical Ramsey theory for equivalence relations on relational structures; topological Ramsey spaces and applications to Tukey and Rudin-Keisler structures in compact spaces and to Banach spaces.

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, 20 (2020), no. 2, 2050012, 75 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. 

Email: ndobrine@nd.edu
Phone: 574-631-7586
Fax: 574-631-6579
Office: 228 Hayes Healy Bldg

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