Clarence M. Knudson Hall, 2390 S. York St. Denver, CO 80210
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
Born and raised in the heart of San Francisco, I obtained a BA from Berkeley, with an honors thesis advised by Field's medalist Richard E. Borcherds. I earned a PhD from the University of Minnesota under the supervision of Karel Prikry. My first postdoc was an NSF VIGRE position at Penn State, working with Stephen G. Simpson on recursion theory. After that, I held a three year research position at the Kurt Goedel Research Center for Mathematical Logic in Vienna, headed by Sy-David Friedman. In 2007 I was hired as an Assistant Professor at DU. I became Associate in 2011 and Full Professor in 2016.
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
I work on the interface of logic, combinatorics, topology and analysis. My research is focused on answering longstanding open problems, developing better methods to approach infinite structures, and making new connections between areas of math which, when seen, help each field progress.
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
Dobrinen, N. L. (2020). Ramsey theory of the universal homogeneous triangle-free graph. Journal of Mathematical Logic, 20(2), 75 pp.
Dobrinen, N. L., Arias, A., Giron Garnica, G. E., & Mijares Palacios, J. G. (2018). Banach spaces from high-dimensional Ellentuck spaces. Journal of Logic and Analysis, 10(5), 42 pp.
Dobrinen, N. L., & Todorcevic, S. (2015). A new class of Ramsey-Classification Theorems and their applications in the Tukey theory of ultrafilters, Part 2. Transactions of the American Mathematical Society, 367(7), 4627--4659.
Dobrinen, N. L. (2016). High-dimensional Ellentuck spaces and initial chains in the Tukey structure of non-p-points . Journal of Symbolic Logic, 81(1), 237--263.
Dobrinen, N. L., Laflamme, C., & Sauer, N. (2016). Rainbow Ramsey simple structures. Discrete Mathematics, 339(11), 2848--2855.
Presentations
Dobrinen, N. L. (2019). The Ramsey theory of Henson graphs. Association for Symbolic Logic Winter Meeting, at the JMM. Baltimore, MD: ASL .
Dobrinen, N. L. (2018). Ramsey theory of the Henson graphs. Unifying Themes in Ramsey Theory. Banff, Canada: Banff International Research Station.
Dobrinen, N. L. (2017). Ramsey theory on trees and applications. Seventh Indian Conference on Logic and Its Applications. Kanpur, India: Indian Institute of Technology.
Dobrinen, N. L. (2017). Ramsey theory, trees and ultrafilters. Workshop on Ultrafilters, Ramsey theory and dynamics. Lyon, France: Institut Camille Jordan, University of Lyon 1.
Dobrinen, N. L. (2017). The universal triangle-free graph has finite big Ramsey degrees. BLAST . Vanderbilt University .
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
We accept both the Common App and our own Pioneer App. The Common App is a universal application that can be sent to many schools, while the Pioneer App is only used by the University of Denver.
Go to the graduate admission application to submit your information. For information on admission requirements, visit the graduate academic programs page and locate your program of interest.
