Dmitri Nikshych

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

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.

Education

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

Courses Taught

  • MATH 528: Multidimensional Calculus
  • MATH 531: Mathematical Proof
  • MATH 696: Ind Stdy/Intro to Repre Theory
  • MATH 761: Abstract Algebra
  • MATH 770: Foundations of Number Theory
  • MATH 772: Combinatorics
  • MATH 915: Algebraic Structures
  • MATH 916: Theory of Numbers for Teachers
  • MATH 951: Algebra I
  • MATH 952: Algebra II

Selected Publications

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

Bontea, C. -G., & Nikshych, D. (2015). On the Brauer–Picard group of a finite symmetric tensor category. Journal of Algebra, 440, 187-218. doi:10.1016/j.jalgebra.2015.06.006

Nikshych, D., & Riepel, B. (2014). Categorical Lagrangian Grassmannians and Brauer–Picard groups of pointed fusion categories. Journal of Algebra, 411, 191-214. doi:10.1016/j.jalgebra.2014.04.013

Davydov, A., Nikshych, D., & Ostrik, V. (2013). On the structure of the Witt group of braided fusion categories. Selecta Mathematica, 19(1), 237-269. doi:10.1007/s00029-012-0093-3

Nikshych, D. (2013). Morita equivalence methods in classification of fusion categories. Unknown Journal, 289-325. doi:10.1090/conm/585/11607

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, 16(1), 1-119. doi:10.1007/s00029-010-0017-z

Gelaki, S., & Nikshych, D. (2008). Nilpotent fusion categories. Advances in Mathematics, 217(3), 1053-1071. doi:10.1016/j.aim.2007.08.001

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

Nikshych, D., Turaev, V., & Vainerman, L. (2003). Invariants of knots and 3-manifolds from quantum groupoids. Topology and its Applications, 127(1-2), 91-123. doi:10.1016/s0166-8641(02)00055-x

Most Cited Publications