Mikhail Khovanov | Academic Influence

Mikhail Khovanov's AcademicInfluence.com Rankings

Mikhail Khovanov

Mathematics

#549

World Rank

#1055

Historical Rank

#248

USA Rank

Algebraic Topology

#13

World Rank

#19

Historical Rank

#10

USA Rank

Measure Theory

#3083

World Rank

#3655

Historical Rank

#896

USA Rank

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Mathematics

Mikhail Khovanov's Degrees

Bachelors Mathematics Princeton University

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Why Is Mikhail Khovanov Influential?

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According to Wikipedia, Mikhail Khovanov is a Russian-American professor of mathematics at Columbia University who works on representation theory, knot theory, and algebraic topology. He is known for introducing Khovanov homology for links, which was one of the first examples of categorification.

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Mikhail Khovanov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A diagrammatic approach to categorification of quantum groups II (2008) (607)
Matrix factorizations and link homology (2004) (544)
A categorification of the Jones polynomial (1999) (406)
Matrix factorizations and link homology II (2005) (312)
Quivers, Floer cohomology, and braid group actions (2000) (296)
A functor-valued invariant of tangles (2001) (283)
Triply-graded link homology and Hochschild homology of Soergel bimodules (2005) (204)
sl(3) link homology (2003) (202)
Patterns in Knot Cohomology, I (2002) (185)
A categorification of the Temperley-Lieb algebra and Schur quotients of $ U({\frak sl}_2) $ via projective and Zuckerman functors (1999) (142)
Categorifications of the colored Jones polynomial (2003) (136)
Link homology and Frobenius extensions (2004) (136)
A categorification of finite-dimensional irreducible representations of quantum sl(2) and their tensor products (2005) (102)
An invariant of tangle cobordisms (2002) (100)
Diagrammatics for Soergel Categories (2009) (97)
Heisenberg algebra and a graphical calculus (2010) (95)
Canonical bases in tensor products and graphical calculus for $U_q(\mathfrak{sl}_2)$ (1997) (89)
A Category for the Adjoint Representation (2000) (88)
A Categorification of the Temperley-Lieb Algebra and Schur Quotients of U(sl2) via Projective and (2000) (85)
CROSSINGLESS MATCHINGS AND THE COHOMOLOGY OF (n, n) SPRINGER VARIETIES (2002) (78)
Web bases for sl(3) are not dual canonical (1997) (77)
Kazhdan-Lusztig polynomials and canonical basis (1997) (73)
An invariant of tangle cobordisms via subquotients of arc rings (2006) (70)
Hopfological algebra and categorification at a root of unity: The first steps (2005) (66)
Virtual crossings, convolutions and a categorification of the SO(2N) Kauffman polynomial (2007) (65)
A categorification of finite-dimensional irreducible representations of quantum $${\mathfrak{sl}_2}$$ and their tensor products (2007) (60)
Braid cobordisms, triangulated categories, and flag varieties (2006) (59)
Remarks on Definition of Khovanov Homology (2002) (52)
Categorifications from planar diagrammatics (2010) (51)
The Odd nilHecke Algebra and its Diagrammatics (2011) (50)
An approach to categorification of some small quantum groups II (2012) (50)
On extended graphical calculus for categorified quantum $sl(n)$ (2010) (46)
NILCOXETER ALGEBRAS CATEGORIFY THE WEYL ALGEBRA (1999) (44)
How to categorify one-half of quantum gl(1|2) (2010) (41)
Link homology and categorification (2006) (40)
Topological Landau-Ginzburg models on the world-sheet foam (2004) (40)
Extended graphical calculus for categorified quantum sl ( 2 ) (2018) (40)
A brief review of abelian categorifications (2007) (33)
Real $K(\pi,1)$ arrangements from finite root systems (1996) (32)
Representations of tensor categories and Dynkin diagrams (1994) (29)
Categorification of some level two representations of sl(n) (2002) (23)
A categorification of integral Specht modules (2006) (20)
The Hopf algebra of odd symmetric functions (2011) (19)
Foam evaluation and Kronheimer–Mrowka theories (2018) (16)
CATEGORIFICATION OF SOME LEVEL TWO REPRESENTATIONS OF QUANTUM 𝔰𝔩n (2006) (16)
Positive half of the Witt algebra acts on triply graded link homology (2013) (15)
On the Work of (2011) (14)
Link homology and Frobenius extensions II (2020) (14)
Homological realization of Nakajima varieties and Weyl group actions (2003) (13)
Erratum to: “A categorification of quantum sl(n)” (2011) (13)
A Faithful Braid Group Action on the Stable Category of Tricomplexes (2019) (12)
Perspectives in Representation Theory (2014) (12)
Categorification of the polynomial ring (2010) (12)
Physics and Mathematics of Link Homology (2016) (11)
A categorification of the Casimir of quantum sl(2) (2010) (10)
Diagrammatic categorification of the Chebyshev polynomials of the second kind (2020) (9)
Universal construction of topological theories in two dimensions (2020) (9)
A deformation of Robert-Wagner foam evaluation and link homology (2020) (9)
The Soergel category and the redotted Webster algebra (2016) (8)
How to categorify the ring of integers localized at two (2017) (8)
BRAID GROUP ACTIONS FROM CATEGORICAL SYMMETRIC HOWE DUALITY ON DEFORMED WEBSTER ALGEBRAS (2018) (7)
Linearization and categorification (2016) (7)
Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category (2020) (7)
A categorification of the positive half of quantum gl(m|1) (2014) (7)
Decorated one-dimensional cobordisms and tensor envelopes of noncommutative recognizable power series (2020) (7)
Notes on link homology (2008) (6)
Two-dimensional topological theories, rational functions and their tensor envelopes (2020) (6)
p-DG cyclotomic nilHecke algebras (2017) (5)
Evaluating Thin Flat Surfaces (2020) (4)
Monoidal categories, representation gap and cryptography (2022) (3)
Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday on perspectives in representation theory : May 12-17, 2012, Yale University, New Haven, CT (2014) (3)
Planar diagrammatics of self-adjoint functors and recognizable tree series (2021) (3)
Anchored foams and annular homology (2021) (2)
Conical $SL(3)$ foams (2020) (2)
A Categorification of One-Variable Polynomials (2015) (1)
Universal construction in monoidal and non-monoidal settings, the Brauer envelope, and pseudocharacters (2023) (1)
ARRANGEMENTS FROM FINITE ROOT SYSTEMS (2004) (1)
On the work of Igor Frenkel (2014) (1)
Link homology and Frobenius extensions Mikhail Khovanov November 23 , (2006) (0)
Categorical lifting of the Jones polynomial: a survey (2022) (0)
A categorification of the positive half of quantum (|1) (2016) (0)
Physics and mathematics of link homology : Seminaire de Mathematiques Superieures, June 24-July 5, 2013, Centre de Reserches Mathematiques, Universite de Montreal, Quebec, Canada (2016) (0)
A pr 2 00 7 A brief review of abelian categorifications (2008) (0)
Physics and Mathematics of Link Homology Proposal for the Séminaire de Mathématiques Supérieures 2013 (2014) (0)
Towards functor exponentiation (2017) (0)
Topological theories and automata (2022) (0)
A ] 3 J ul 2 00 1 A category for the adjoint representation (2008) (0)
Preface to the tenth Takagi Lectures (2012) (0)
One-dimensional topological theories with defects: the linear case (2022) (0)
A ] 8 F eb 2 00 0 A category for the adjoint representation (2008) (0)
Q A ] 2 S ep 2 02 0 EVALUATING THIN FLAT SURFACES (2020) (0)
SOME REMARKS ON TABACHNIKOV’S INVARIANTS OF PLANE CURVES (1996) (0)
THE SET OF SLICE DOODLES IS NP-COMPLETE (2020) (0)
Foams, iterated wreath products, field extensions and Sylvester sums (2021) (0)
Automata and one-dimensional TQFTs with defects (2023) (0)
Odd two-variable Soergel bimodules and Rouquier complexes (2022) (0)
Applied Mathematics (2019) (0)

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