Dmitri Nikshych

Dmitri Nikshych

PROFESSOR
Phone: (603) 862-7011
Office: Mathematics & Statistics, Kingsbury Hall W334, Durham, NH 03824
Websites:

Book

Tensor Categories (with P. Etingof, S. Gelaki, and V. Ostrik), published by the AMS. 

Note that according to the publication agreement, it cannot be posted on any website not belonging to the authors. You can order your copy on the AMS website: https://bookstore.ams.org/surv-205/ or on Amazon.

Full List of Publications

Please visit Dr. Nikshych's Google Scholar profile for a full list of his publications.

Courses Taught

  • MATH 770/870: Foundations of Number Theory
  • MATH 772/872: Combinatorics
  • MATH 914: Topology for Teachers
  • MATH 916: Theory of Numbers for Teachers
  • MATH 928: Topics in Math for Teachers
  • MATH 951: Algebra I
  • MATH 952: Algebra II
  • MATH 961: Topics in Algebra I

Education

  • Ph.D., Mathematics, University of California - Los Angeles
  • M.S., Mathematics, National Technical University
  • B.S., Mathematics, National Technical University

Selected Publications

  • Nikshych, D. (2022). Computing the Group of Minimal Non-degenerate Extensions of a Super-Tannakian Category. COMMUNICATIONS IN MATHEMATICAL PHYSICS. doi:10.1007/s00220-022-04478-8

  • Green, J., & Nikshych, D. (2021). On the braid group representations coming from weakly group-theoretical fusion categories. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(1). doi:10.1142/S0219498821502108

  • Bontea, C. -G., & Nikshych, D. (2019). Pointed braided tensor categories. TENSOR CATEGORIES AND HOPF ALGEBRAS, 728, 67-94. doi:10.1090/conm/728/14656

  • Marshall, I., & Nikshych, D. (2018). On the Brauer-Picard groups of fusion categories. MATHEMATISCHE ZEITSCHRIFT, 288(3-4), 689-712. doi:10.1007/s00209-017-1907-y

  • Davydov, A., Etingof, P., & Nikshych, D. (2017). Autoequivalences of tensor categories attached to quantum groups at
    roots of $1$. Retrieved from http://arxiv.org/abs/1703.06543v1

  • Davydov, A., Muger, M., Nikshych, D., & Ostrik, V. (2013). The Witt group of non-degenerate braided fusion categories. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 677, 135-177. doi:10.1515/crelle.2012.014

  • Etingof, P., Nikshych, D., & Ostrik, V. (2011). Weakly group-theoretical and solvable fusion categories. ADVANCES IN MATHEMATICS, 226(1), 176-205. doi:10.1016/j.aim.2010.06.009

  • Drinfeld, V., Gelaki, S., Nikshych, D., & Ostrik, V. (2010). On braided fusion categories I. SELECTA MATHEMATICA-NEW SERIES, 16(1), 1-119. doi:10.1007/s00029-010-0017-z

  • Etingof, P., Nikshych, D., Ostrik, V., & Meir, W. A. A. B. E. (2009). Fusion categories and homotopy theory. Retrieved from http://arxiv.org/abs/0909.3140v2

  • Etingof, P., Nikshych, D., & Ostrik, V. (2005). On fusion categories. ANNALS OF MATHEMATICS, 162(2), 581-642. doi:10.4007/annals.2005.162.581

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  • Most Cited Publications