# Natasha Dobrinen

## Professor

### What I do

I research the foundations of mathematics and the consequences for infinite structures. My research investigates synergistic interactions between set theory, combinatorics, topology and analysis. Current research focuses include Ramsey theory of infinite structures, the structures of compact spaces, and applications of set-theoretic methods in their analysis.

I teach a wide range of courses from graduate level logic to core math courses for non-majors. I also advise graduate students and mentor postdoctoral scholars.

### Professional Biography

### Degree(s)

- Ph.D., Mathematics, University of Minnesota, 2001
- BA, Mathematics, University of California - Berkeley, 1996

### Professional Affiliations

- American Mathematical Society
- Association for Symbolic Logic
- Association for Women in Mathematics
- European Set Theory Society

### Research

#### Key Projects

- Ramsey Theory, Set Theory, and Tukey Order
- Ramsey Theory, Set Theory and Tukey Order
- Classification of Turkey types of ultrafilters
- Conference on Infinitary Ramsey Theory
- BLAST 08 Conference

### Featured Publications

- Banach spaces from high-dimensional Ellentuck spaces
- A new class of Ramsey-Classification Theorems and their applications in the Tukey theory of ultrafilters, Part 2
- High-dimensional Ellentuck spaces and initial chains in the Tukey structure of non-p-points
- Rainbow Ramsey simple structures

### Presentations

- The Ramsey theory of Henson graphs
- Ramsey theory of the Henson graphs
- Ramsey theory on trees and applications
- Ramsey theory, trees and ultrafilters
- The universal triangle-free graph has finite big Ramsey degrees

### Awards

- NSM Excellence in Research Award, 2016, DU, NSM
- Invitation to Luminy Workshop on Set Theory, CIRM, Luminy
- Invited Participant in AIM Workshop on Nonstandard methods in combinatorial number theory, American Institute for Mathematics
- Invitation to Oberwolfach Workshop in Set Theory, Mathematisches Forschungsinstitut Oberwolfach gGmbH
- HERS Institute Participant, Denver, HERS Institute