Alexei Davydov

Geometry and Topology · 2009–2023

A researcher in the Science corpus: 6 papers; trusts 18 researchers and is trusted by 8 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 60 citations into it; #2,461 of 7,422 by trust here, #1,451 by citations
• Mathematical Physics — 54 citations into it; #3,053 of 8,562 by trust here, #2,200 by citations
• Algebra and Number Theory — 43 citations into it; #885 of 2,864 by trust here, #734 by citations
• Statistical and Nonlinear Physics — 6 citations into it; #7,366 of 10,127 by trust here, #3,735 by citations

Whom Alexei Davydov trusts overall

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

1. V. Ostrik
2. Pavel Etingof
3. Michael Mueger
4. Christopher J. Schommer-Pries
5. M. Stay
6. D. Nikshych
7. D. Venku Naidu
8. A. Kirillov
9. Jr Alexander Kirillov
10. Alexei Y. Kitaev

Who trusts Alexei Davydov overall

1. Salman Beigi
2. D. Nikshych
3. Theo Johnson-Freyd
4. Peter W. Shor
5. Liang Kong
6. V. Ostrik
7. Ryan Thorngren
8. Daniel Whalen
9. Christopher L. Douglas
10. Jürgen Fuchs

Papers from Alexei Davydov's perspective

Ordered by how strongly the researchers Alexei Davydov 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. Module categories, weak Hopf algebras and modular invariants
4. Holomorphic vertex operator algebras of small central charge
5. Providence
6. Module categories over the Drinfeld double of a finite group
7. Categorical Morita Equivalence for Group-Theoretical Categories
8. From subfactors to categories and topology. I. Frobenius algebras in and Morita equivalence of tensor categories
9. Isocategorical groups
10. Higher Algebraic K-Theory

Their papers

• Tensor categories (2023) — 481 citations
• Braided Picard groups and graded extensions of braided tensor categories (2020) — 56 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
• Modular invariants for group-theoretical modular data. I (2009) — 57 citations