# 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

## Bio

### 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