2026 Dmitri Nikshych: Mathematics Researcher – H-Index, Publications & Awards

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Dmitri Nikshych is affiliated with the University of New Hampshire in the United States. Their research activity is primarily situated in the field of Mathematics, with emphasis on several subfields including Geometry and Topology, Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics, and Condensed Matter Physics.

The scientist's main research topics cover a range of areas such as Algebraic structures and combinatorial models, Advanced Topics in Algebra, Homotopy and Cohomology in Algebraic Topology, Nonlinear Waves and Solitons, Rings, Modules, and Algebras, Advanced Algebra and Geometry, and Advanced Condensed Matter Physics.

Dmitri Nikshych's recent papers include:

"Braided Picard groups and graded extensions of braided tensor categories", 2021, Selecta Mathematica
"RANK-FINITENESS FOR G-CROSSED BRAIDED FUSION CATEGORIES", 2020, Transformation Groups
"On a necessary condition for unitary categorification of fusion rings", 2021, arXiv (Cornell University)
"On a necessary condition for unitary categorification of fusion rings", 2025, Contemporary Mathematics - American Mathematical Society
"The Classification of Fusion 2-Categories", 2024, arXiv (Cornell University)

The venues where Dmitri Nikshych frequently publishes include:

arXiv (Cornell University)
Selecta Mathematica
Transformation Groups
Journal of Algebra and Its Applications
Communications in Mathematical Physics

Frequent co-authors collaborating with Nikshych are:

Jason Green
Pavel Etingof
Victor Ostrik
Julia Yael Plavnik
Alexei Davydov

In recognition of contributions to the field, Dmitri Nikshych was named a Fellow of the American Mathematical Society in 2013.

Best Publications

On fusion categories

Pavel Etingof;Dmitri Nikshych;Viktor Ostrik

888
Citations
Fusion categories and homotopy theory

Pavel Etingof;Dmitri Nikshych;Victor Ostrik

688
Citations
On braided fusion categories I

Vladimir Drinfeld;Shlomo Gelaki;Dmitri Nikshych;Victor Ostrik

405
Citations
The Witt group of non-degenerate braided fusion categories

Alexei Davydov;Michael Müger;Dmitri Nikshych;Victor Ostrik

274
Citations
WEAKLY GROUP-THEORETICAL AND SOLVABLE FUSION CATEGORIES

Pavel I. Etingof;Dmitri Nikshych;Viktor Ostrik

266
Citations
Nilpotent fusion categories

Shlomo Gelaki;Dmitri Nikshych

204
Citations
Finite Quantum Groupoids and Their Applications

Dmitri Nikshych;Leonid Vainerman

163
Citations
Centers of graded fusion categories

Shlomo Gelaki;Deepak Naidu;Dmitri Nikshych

154
Citations
On the structure of the Witt group of braided fusion categories

Alexei Davydov;Dmitri Nikshych;Victor Ostrik

129
Citations
GROUP-THEORETICAL PROPERTIES OF NILPOTENT MODULAR CATEGORIES

Vladimir Drinfeld;Shlomo Gelaki;Dmitri Nikshych;Victor Ostrik

123
Citations
Invariants of knots and 3-manifolds from quantum groupoids

Dmitri Nikshych;Vladimir Turaev;Leonid Vainerman

106
Citations
On the Structure of Weak Hopf Algebras

Dmitri Nikshych

105
Citations
A Characterization of Depth 2 Subfactors of II1 Factors

Dmitri Nikshych;Leonid Vainerman

102
Citations
Fusion categories and homotopy theory

Pavel Etingof;Dmitri Nikshych;Victor Ostrik

100
Citations
The Witt group of non-degenerate braided fusion categories

Alexei Davydov;Michael Mueger;Dmitri Nikshych;Victor Ostrik

94
Citations
Dynamical quantum groups at roots of 1

Pavel Etingof;Dmitri Nikshych

92
Citations
K 0-rings and twisting of finite dimensional semisimple hopf algebras

Dmitri Nikshych

92
Citations
An analogue of Radford's S4 formula for finite tensor categories

Pavel Etingof;Dmitri Nikshych;Viktor Ostrik

91
Citations
Lagrangian Subcategories and Braided Tensor Equivalences of Twisted Quantum Doubles of Finite Groups

Deepak Naidu;Dmitri Nikshych

90
Citations
An analogue of Radford's S^4 formula for finite tensor categories

Pavel Etingof;Dmitri Nikshych;Viktor Ostrik

3
Citations

Frequent Co-Authors

Pavel Etingof MIT

Vladimir Turaev Indiana University

Nicolás Andruskiewitsch National University of Córdoba

External Links

Personal website of Dmitri Nikshych

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

Studying Mathematics in the USA offers versatile career pathways, often complemented by related online degrees. For graduates aiming to enhance their business acumen, exploring an mba transfer credits program can make advancing education more flexible and cost-effective. These programs allow students to build on existing credits, speeding up their journey to an MBA.

For those interested in leveraging mathematical skills in technology and business, pursuing one of the best masters in data analytics programs is a strong option. These programs combine statistics, computer science, and math, opening doors to data-driven roles across industries.

When considering graduate studies, many seek programs with more accessible admissions criteria. The overview of the easiest mba program to get into helps prospective students identify options suited to their unique profiles without compromising quality.

Additionally, flexible scheduling and remote learning are important for working professionals. Exploring the easiest online mba programs to get into offers valuable insights on programs that balance accessibility with academic rigor.