Damir Dzhafarov

Associate Professor

Director of Undergraduate Studies

Associate Director of the UConn Logic Group

Contact Information
Emaildamir@math.uconn.edu
Phone860-486-3120
Office LocationMONT 441
Linkhttps://www.damirdzhafarov.com
Research Interests
  • mathematical logic
  • specifically computability theory
  • reverse mathematics
  • effective combinatorics
  • and computable analysis.
About:

Education

  • Ph.D. in Mathematics, University of Chicago, June 2011.
  • M.S. in Mathematics, University of Chicago, June 2006.
  • B.S. in Mathematics, Purdue University, May 2005.

Selected Publications

  • P.-E. Anglés d’Auriac, P. A. Cholak, D. D. Dzhafarov, B. Monin, and L. Patey, Milliken’s tree theorem and its applications: a computability-theoretic perspective, Mem. Amer. Math. Soc., vol. 293, no. 1457, vi+118 pp., 2024.
  • D. D. Dzhafarov and C. Mummert, Reverse Mathematics: Problems, Reductions, and Proofs, Theory and Applications of Computability, Springer, xix+490 pp., 2022.
  • D. D. Dzhafarov, D. R. Hirschfeldt, and S. C. Reitzes, Reduction games, provability, and compactness, Journal of Mathematical Logic, vol. 22, no. 03, 37 pp., 2022.
  • D. D. Dzhafarov, Joins in the strong Weihrauch degrees, Math. Res. Lett., vol. 26, no. 3, pp. 749-767, 2019.
  • D. D. Dzhafarov and L. Patey, Coloring trees in reverse mathematics, Adv. Math., vol. 318, pp. 497-514, 2017.
  • D. D. Dzhafarov, L. Patey, R. Solomon, and L. B. Westrick, Ramsey’s theorem for singletons and strong computable reducibility, Proc. Amer. Math. Soc., vol. 145, no. 3, pp. 1343-1355, 2017.
  • D. D. Dzhafarov, Strong reductions between combinatorial principles, J. Symbolic Logic, vol. 81, no. 4, pp. 1405-1431, 2016.
  • F. G. Dorais, D. D. Dzhafarov, J. L. Hirst, J. R. Mileti, and P. Shafer, On uniform relationships between combinatorial problems, Trans. Amer. Math. Soc., vol. 368, no. 2, pp. 1321-1359, 2016.