Serguei Barannikov | Academic Influence

Serguei Barannikov's AcademicInfluence.com Rankings

Serguei Barannikov

Mathematics

#1726

World Rank

#2763

Historical Rank

Measure Theory

#5179

World Rank

#6127

Historical Rank

mathematics Degrees

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Mathematics

Serguei Barannikov's Degrees

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

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Why Is Serguei Barannikov Influential?

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According to Wikipedia, Serguei Barannikov is a mathematician, known for his works in algebraic topology, algebraic geometry and mathematical physics. Biography Barannikov graduated with honors from Moscow State University in 1994.

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Serguei Barannikov'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

Frobenius manifolds and formality of Lie algebras of polyvector fields (1997) (284)
Quantum periods, I: semi-infinite variations of Hodge structures (2000) (105)
The framed Morse complex and its invariants (1994) (104)
Semi-infinite Hodge structures and mirror symmetry for projective spaces (2000) (77)
Non-Commutative Periods and Mirror Symmetry¶in Higher Dimensions (2002) (41)
Generalized periods and mirror symmetry in dimensions n>3 (1999) (36)
Modular operads and Batalin-Vilkovisky geometry (2017) (28)
Artificial Text Detection via Examining the Topology of Attention Maps (2021) (21)
Noncommutative Batalin-Vilkovisky geometry and matrix integrals (2009) (17)
On the space of real polynomials without multiple critical values (1992) (13)
Representation Topology Divergence: A Method for Comparing Neural Network Representations (2021) (9)
Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type (2001) (9)
Solving the Noncommutative Batalin–Vilkovisky Equation (2010) (7)
Acceptability Judgements via Examining the Topology of Attention Maps (2022) (6)
Manifold Topology Divergence: a Framework for Comparing Data Manifolds (2021) (6)
Matrix De Rham Complex and Quantum A-infinity algebras (2010) (6)
Semi-infinite Hodge structures and mirror symmetry for projective spaces (2000) (4)
Topological obstructions in neural networks learning (2020) (3)
Higher dimensional matrix Airy functions and equivariant cohomology (2010) (2)
Supersymmetric matrix integrals and sigma-models. (2009) (2)
Barcodes as summary of objective function's topology (2019) (2)
Supersymmetry and cohomology of graph complexes (2018) (1)
Homological assessment of data representations (2022) (1)
Invariants of gradient (Morse) complexes and artificial neural nets (2019) (1)
Matrix De Rham complex and quantum A∞−algebras (2009) (1)
Matrix De Rham Complex and Quantum A-infinity algebras (2014) (0)
A-infinity gl(N)-equivariant matrix integrals (2010) (0)
SUPERSYMMETRIES AND COHOMOLOGY OF GRAPH COMPLEXES (2009) (0)
Learning Topology-Preserving Data Representations (2023) (0)
EA-Matrix Integrals of Associative Algebras and Equivariant Localization (2019) (0)
SUPERSYMMETRIC MATRIX INTEGRALS AND MODELS (2009) (0)
EA-Matrix Integrals of Associative Algebras and Equivariant Localization (2017) (0)
Invariants of Morse complexes, persistent homology and applications. (2019) (0)
Topological Data Analysis for Speech Processing (2022) (0)
Supersymmetry and cohomology of graph complexes (2018) (0)
The complements of resultant and discriminant sets in ℂn areM-manifolds (1993) (0)
Invariants of Morse complexes and persistent homology (2019) (0)

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What Schools Are Affiliated With Serguei Barannikov?

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