D. Nikshych

Geometry and Topology · 2000–2020

A researcher in the Science corpus: 22 papers; trusts 27 researchers and is trusted by 48 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 155 citations into it; #254 of 7,422 by trust here, #75 by citations
• Mathematical Physics — 132 citations into it; #320 of 8,562 by trust here, #60 by citations
• Algebra and Number Theory — 101 citations into it; #86 of 2,864 by trust here, #21 by citations
• Statistical and Nonlinear Physics — 25 citations into it; #3,117 of 10,127 by trust here, #2,158 by citations
• Discrete Mathematics and Combinatorics — 8 citations into it
• Atomic and Molecular Physics, and Optics — 6 citations into it
• Physical and Theoretical Chemistry — 6 citations into it

Whom D. Nikshych trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. V. Ostrik
2. Pavel Etingof
3. Michael Mueger
4. D. Venku Naidu
5. Sonia Natale
6. D. Tambara
7. J. Greenough
8. Sergey V. Arkhipov
9. Michel Enock
10. Shlomo Gelaki

Who trusts D. Nikshych overall

1. V. Ostrik
2. Pavel Etingof
3. Shlomo Gelaki
4. D. Venku Naidu
5. Michael Mueger
6. G. Bòhm
7. Liang Kong
8. N. Andruskiewitsch
9. Alexei Davydov
10. Peter Schauenburg

Papers from D. Nikshych's perspective

Ordered by how strongly the researchers D. Nikshych trusts endorse each paper. Same corpus, a different order for every researcher.

1. Lectures on tensor categories and modular functors
2. Modular Categories and Orbifold Models
3. From subfactors to categories and topology. I. Frobenius algebras in and Morita equivalence of tensor categories
4. Module categories, weak Hopf algebras and modular invariants
5. Fusion categories and homotopy theory
6. Another realization of the category of modules over the small quantum group
7. Nilpotent fusion categories
8. Module categories over the Drinfeld double of a finite group
9. On the semisolvability of semisimple Hopf algebras of low dimension
10. Holomorphic vertex operator algebras of small central charge

Their papers

• Braided Picard groups and graded extensions of braided tensor categories (2020) — 56 citations
• Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories (2013) — 53 citations
• The Picard crossed module of a braided tensor category (2012) — 68 citations
• On the structure of the Witt group of braided fusion categories (2011) — 151 citations
• The Witt group of non-degenerate braided fusion categories (2010) — 357 citations
• On braided fusion categories I (2009) — 463 citations
• Centers of graded fusion categories (2009) — 191 citations
• Fusion categories and homotopy theory (2009) — 405 citations
• Fusion subcategories of representation categories of twisted quantum doubles of finite groups (2008) — 89 citations
• WEAKLY GROUP-THEORETICAL AND SOLVABLE FUSION CATEGORIES (2008) — 269 citations
• GROUP-THEORETICAL PROPERTIES OF NILPOTENT MODULAR CATEGORIES (2007) — 88 citations
• Lagrangian Subcategories and Braided Tensor Equivalences of Twisted Quantum Doubles of Finite Groups (2007) — 77 citations
• Non-group-theoretical semisimple Hopf algebras from group actions on fusion categories (2007) — 82 citations
• Nilpotent fusion categories (2006) — 178 citations
• An analogue of Radford's S4 formula for finite tensor categories (2004) — 99 citations
• On fusion categories (2002) — 826 citations
• On the Structure of Weak Hopf Algebras (2001) — 80 citations
• On twisting of finite-dimensional Hopf algebras (2001) — 55 citations
• Hopf Algebra Actions on Strongly Separable Extensions of Depth Two (2001) — 52 citations
• Dynamical quantum groups at roots of 1 (2000) — 77 citations