Victor Vasiliev | Academic Influence

Victor Vasiliev's AcademicInfluence.com Rankings

Victor Vasiliev

Mathematics

#2056

World Rank

#3233

Historical Rank

Group Theory

#235

World Rank

#279

Historical Rank

Number Theory

#343

World Rank

#426

Historical Rank

Algebra

#582

World Rank

#767

Historical Rank

mathematics Degrees

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Mathematics

Victor Vasiliev's Degrees

PhD Mathematics Moscow State University
Masters Mathematics Moscow State University
Bachelors Mathematics Moscow State University

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Why Is Victor Vasiliev Influential?

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According to Wikipedia, Victor Anatolyevich Vassiliev or Vasilyev , is a Soviet and Russian mathematician. He is best known for his discovery of the Vassiliev invariants in knot theory , which subsume many previously discovered polynomial knot invariants such as the Jones polynomial. He also works on singularity theory, topology, computational complexity theory, integral geometry, symplectic geometry, partial differential equations , complex analysis, combinatorics, and Picard–Lefschetz theory.

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Victor Vasiliev'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

Cohomology of knot spaces (1990) (509)
Complements of Discriminants of Smooth Maps: Topology and Applications (1992) (471)
Sixth Painlevé Equation, Universal Elliptic Curve, and Mirror of $\bold{P}^2$ (1996) (75)
Complexes of Connected Graphs (2014) (54)
Applied Picard-Lefschetz theory (2002) (53)
Topics in singularity theory : V.I. Arnold's 60th anniversary collection (1997) (41)
Invariants of ornaments (1994) (38)
Ramified Integrals, Singularities and Lacunas (1994) (36)
Combinatorial formulas for cohomology of knot spaces (2001) (32)
Topology of two-connected graphs and homology of spaces of knots (1997) (30)
On invariants and homology of spaces of knots in arbitrary manifolds (1997) (28)
Topology of Discriminants and Their Complements (1995) (25)
TOPOLOGICAL ORDER COMPLEXES AND RESOLUTIONS OF DISCRIMINANT SETS (2002) (24)
Topology of complements to discriminants and loop spaces (1990) (22)
How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces (2014) (20)
Recognizing textile structures by finite type knot invariants (2009) (19)
Holonomic Links and Smale Principles for Multisingularities (1997) (18)
Combinatorial Formulas for Cohomology of Spaces of Knots (2014) (18)
On the representation of functions of several variables as a superposition of functions of a smaller number of variables (2009) (14)
Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in M2×R1 (2009) (14)
Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups (2015) (14)
Homology of spaces of knots in any dimensions (2001) (13)
On Finite Order Invariants of Triple Points Free Plane Curves (2014) (12)
Invariants of links in 3-manifolds and splitting problem of textile structures (2011) (12)
Resolutions of discriminants and topology of their complements (2001) (11)
Introduction to Topology (2001) (10)
Topology of plane arrangements and their complements (2014) (9)
Vladimir I. Arnold - Collected Works (2009) (8)
Combinatorial computation of combinatorial formulas for knot invariants (2005) (7)
Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in ℝ3 (2015) (6)
Homology groups of spaces of non-resultant quadratic polynomial systems in (2014) (6)
Two constructions of weight systems for invariants of knots in non-trivial 3-manifolds. (2008) (6)
HOMOLOGY OF SPACES OF HOMOGENEOUS POLYNOMIALS IN R 2 WITHOUT MULTIPLE ZEROS (2014) (6)
A Few Problems on Monodromy and Discriminants (2015) (6)
Lacunas and local algebraicity of volume functions (2018) (6)
On the spaces of polynomial knots (1995) (5)
Stratified Picard-Lefschetz theory (1995) (5)
On $r$-neighbourly submanifolds in $\mathbb{R}^N$ (1998) (4)
Stable Cohomology of Spaces of Non-Resultant Systems of Homogeneous Polynomials in ℝn (2018) (4)
Complements of discriminants of simple real function singularities (2021) (4)
Mathematical Models of Catastrophes. Control of Catastrophic Processes (2006) (4)
Homology of Spaces of Non-Resultant Homogeneous Polynomial Systems in $${\mathbb R}^2$$R2 and $${\mathbb C}^2$$C2 (2015) (4)
Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations (2016) (4)
On topological invariants of real algebraic functions (2011) (3)
Homology of the complex of not 2-divisible partitions (2018) (3)
New Examples of Locally Algebraically Integrable Bodies (2019) (3)
Spaces of Hermitian operators with simple spectra and their finite-order cohomology (2014) (3)
HOMOLOGY OF i-CONNECTED GRAPHS AND INVARIANTS OF KNOTS, PLANE ARRANGEMENTS, ETC (2014) (2)
Homology of spaces of non-resultant polynomial systems in R^2 and C^2 (2014) (2)
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's (2019) (2)
On $r$-neighborly submanifolds in $R^N$ (2014) (2)
Vladimir igorevich arnold in the eyes of his students (2007) (2)
Multiplicities of Maxwell sets of Pham singularities (2016) (2)
Stable cohomology of spaces of non-resultant polynomial systems in ℝ 3 (2017) (2)
Topological complexity and real roots of polynomials (1996) (2)
Monodromy of Complete Intersections and Surface Potentials (2014) (2)
There are no algebraically integrable ovals in even-dimensional spaces (2014) (2)
Geometry of Differential Equations (1998) (1)
Collected works || uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region (2009) (1)
Algebroidally Integrable Bodies (2020) (1)
Complements of discriminants of real parabolic function singularities (2022) (1)
Fedor Alekseevich Bogomolov (on his 60th birthday) (2007) (1)
GAUSS DIAGRAM INVARIANTS OF LINKS IN M2 × R1 (2011) (1)
Tutte decomposition for graphs, weighted graphs, and symmetric matrices. (1998) (1)
Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials (2018) (1)
Topology of Complexes of Edge Covering Partite Graphs and Hypergraphs (2018) (1)
Topology in Arnold’s work (2014) (1)
Complements of discriminants of real singularities of type $X_{10}$ (2023) (1)
Linking numbers in non-orientable 3-manifolds (2016) (1)
Nikolay Nikolayevich Konstantinov (obituary) (2022) (0)
Errata to V.I. Arnol’d’s paper: “Small denominators. I.” (2009) (0)
Cell spaces (-complexes) (2001) (0)
Stratified Picard-Lefschetz Theory with Twisted Coefficients (2014) (0)
Lacunas and the Local Petrovskiĭ Condition for Hyperbolic Differential Operators with Constant Coefficients (1995) (0)
Local monodromy theory of isolated singularities of functions and complete intersections (2002) (0)
Homology of cell spaces (2001) (0)
Cohomology and Poincaré duality (2001) (0)
Vladimir Antonovich Zorich (2018) (0)
Multiplicities of bifurcation sets of Pham singularities (2017) (0)
Multiplication in cohomology (and homology) (2001) (0)
Some applications of homology theory (2001) (0)
Multiplicities of Maxwell sets of Pham singularities (2016) (0)
Average intersection number of trigonometric plane curves in $L_2$ and $W_2^r$ statistics (2023) (0)
Integrable bodies in odd-dimensional spaces (2020) (0)
The school mathematics circle at Moscow State University: harmonic functions (2009) (0)
Федор Алексеевич Богомолов (к 60-летию со дня рождения)@@@Fedor Alekseevich Bogomolov (on his 60th birthday) (2007) (0)
Stability and instability in classical mechanics (2009) (0)
The mathematics workshop for schools at Moscow State University (2009) (0)
Sergei Duzhin (June 17, 1956–February 1, 2015) (2015) (0)
Homotopy groups and homotopy equivalence (2001) (0)
Lev Dmitrievich Kudryavtsev (obituary) (2012) (0)
Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps (2018) (0)
The degree of a map (2001) (0)
Varieties of chord diagrams, braid group cohomology and degeneration of equality conditions (2021) (0)
Topology of Complexes of Edge Covering Partite Graphs and Hypergraphs (2017) (0)
On a problem by M. Kazarian (1999) (0)
Idzhad Khakovich Sabitov (on his 70th birthday) (2008) (0)
Homology: Basic definitions and examples (2001) (0)
Homology of Spaces of Non-Resultant Homogeneous Polynomial Systems in R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} (2015) (0)
Algebraically integrable bodies and related properties of the Radon transform (2022) (0)
Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in ℝ3 (2015) (0)
A topological proof of the Arnold four cusps theorem (2012) (0)
Igorevich Arnold in the Eyes of His Students On the occasion of his 70 th birthday (2008) (0)
Algebroidally Integrable Bodies (2020) (0)
Picard—Lefschetz—Pham Theory and Singularity Theory (1995) (0)
Vladimir Mikhailovich Zakalyukin (obituary) (2012) (0)
Topological spaces and operations with them (2001) (0)
Sergei Vladimirovich Matveev (2018) (0)
Relative homotopy groups and the exact sequence of a pair (2001) (0)
Homology of local systems, twisted monodromy theory, and regularization of improper integration cycles (2002) (0)
Main properties of singular homology groups and their computation (2001) (0)
A Few Problems on Monodromy and Discriminants (2015) (0)
Rational homology of configuration spaces of the Moebius strip and projective plane (2017) (0)
Stratified Picard–Lefschetz theory and monodromy of hyperplane sections (2002) (0)
Stable Cohomology of Spaces of Non-Resultant Systems of Homogeneous Polynomials in ℝn (2018) (0)
Newton’s Potential of Algebraic Layers (1995) (0)
Calculation of Local Petrovskiĭ Cycles and Enumeration of Local Lacunas Close to Real Function Singularities (1995) (0)
Newton’s Theorem on the Nonintegrability of Ovals (1995) (0)
Complements of caustics of simple real function singularities (2023) (0)
Alexandre Mikhailovich Vinogradov (2020) (0)
Stable cohomology of spaces of non-resultant polynomial systems in ℝ 3 (2017) (0)
Memories of Vladimir Arnold (2012) (0)
Ramified integrals and Picard–Lefschetz theories (2004) (0)
Multidimensional hypergeometric functions, their ramification, singularities, and resonances (2002) (0)
Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps (2018) (0)
Cohomology of spaces of complex knots (2022) (0)

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