Dmitri Nikshych

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


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: or on Amazon.

Full List of Publications

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


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

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 951: Algebra I
  • MATH 952: Algebra II
  • MATH 961: Topics in Algebra I

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

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

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

Most Cited Publications