Dmitry Fuchs

Q: What Schools Are Affiliated With Dmitry Fuchs

Dmitry Fuchs is affiliated with the following schools: University of California, Santa Barbara, University of California, Irvine, University of California, Davis, Tbilisi State University, Moscow State University

Dmitry Fuchs's AcademicInfluence.com Rankings

Dmitry Fuchs

Mathematics

#247

World Rank

#537

Historical Rank

#119

USA Rank

Algebraic Geometry

#98

World Rank

#104

Historical Rank

#23

USA Rank

Measure Theory

#4893

World Rank

#5747

Historical Rank

#1372

USA Rank

mathematics Degrees

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Mathematics

Why Is Dmitry Fuchs Influential?

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According to Wikipedia, Dmitry Borisovich Fuchs is a Russian-American mathematician, specializing in the representation theory of infinite-dimensional Lie groups and in topology. Education and career Fuchs received in 1964 his Russian candidate degree under Albert S. Schwarz at Moscow State University, where he taught thereafter. Schwarz conducted a seminar on algebraic topology with Mikhail Postnikov and Vladimir Boltyanski. Fuchs participated in the seminar and, as a student, published papers with Schwarz, as did Askold Ivanovich Vinogradov a few years earlier. Fuchs received his Russian doctorate in 1987 at Tbilisi State University. Since 1991 he has been a professor at the University of California, Davis.

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Dmitry Fuchs'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

Invariants of Legendrian and transverse knots in the standard contact space (1997) (176)
Construction of Miniversal Deformations of Lie Algebras (1999) (108)
Arithmetical properties of binomial coefficients (2007) (94)
Chekanov–Eliashberg invariant of Legendrian knots: existence of augmentations (2003) (89)
Northern California symplectic geometry seminar (1999) (88)
Chekanov–Eliashberg invariants and transverse approximations of Legendrian knots (2001) (76)
MORE ON PAPERFOLDING (1999) (67)
Invariants of Legendrian Knots and Decompositions of Front Diagrams (2004) (57)
Generating families and Legendrian contact homology in the standard contact space (2008) (47)
BILLIARDS (2020) (47)
Evolutes and Involutes of Spatial Curves (2013) (31)
Closed Geodesics on Regular Polyhedra (2007) (30)
Periodic trajectories in the regular pentagon (2011) (22)
Massey brackets and deformations (2001) (16)
Matrix Vieta Theorem (1994) (14)
Iterating Evolutes and Involutes (2015) (14)
Cross-ratio Dynamics on Ideal Polygons (2018) (14)
A complex for the cohomology of restricted Lie algebras (2008) (13)
Massey products and deformations (1996) (13)
Self-dual polygons and self-dual curves (2007) (12)
Periodic trajectories in the regular pentagon, II (2011) (11)
Geodesics on Regular Polyhedra with Endpoints at the Vertices (2016) (11)
More on paper folding (2007) (7)
Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra (2014) (6)
Iterating evolutes of spatial polygons and of spatial curves (2016) (3)
Iterating Evolutes of Spacial Polygons and of Spacial Curves (2016) (3)
On Tangent Cones of Schubert Varieties (2016) (3)
Segments of equal areas (2007) (3)
Arnold Pick. (1951) (2)
LAPLACIAN SPECTRUM FOR THE NILPOTENT KAC-MOODY LIE ALGEBRAS (2008) (2)
Dima Arnold in my life (2014) (1)
On collecting like terms, on Euler, Gauss, and MacDonald, and on missed opportunities (2007) (1)
On the Restricted Lie Algebra Structure of the Witt Lie Algebra in Finite Characteristic (2001) (1)
A family of integrable transformations of centroaffine polygons: geometrical aspects (2021) (1)
Alexander’s horned sphere (2007) (1)
Ju n 20 00 Construction of Miniversal Deformations of Lie Algebras (1999) (1)
Twenty-seven lines (2007) (0)
Billiard Trajectories in Regular Polygons and Geodesics on Regular Polyhedra (2021) (0)
How many roots does a polynomial have (2007) (0)
Iterating Evolutes and Involutes (2017) (0)
Equations of degree three and four (2007) (0)
Chapter 1: Homotopy (2016) (0)
The Poncelet porism and other closure theorems (2007) (0)
Paper sheet geometry (2007) (0)
On Lagrangian tangent sweeps and Lagrangian outer billiards (2015) (0)
Curvature and polyhedra (2007) (0)
Paper Möbius band (2007) (0)
Can one make a tetrahedron out of a cube (2007) (0)
Gravitational attraction of ellipsoids (2007) (0)
Equations of degree five (2007) (0)
Non-inscribable polyhedra (2007) (0)
Memories of Vladimir Arnold (2012) (0)
On Tangent Cones of Schubert Varieties (2017) (0)
The Crofton formula (2007) (0)
Can a number be approximately rational (2007) (0)
Rigidity of polyhedra (2007) (0)
Straight lines on curved surfaces (2007) (0)
N ov 2 00 1 On the Restricted Lie Algebra Structure for the Witt Lie Algebra in Finite Characteristic (2001) (0)
Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra (2013) (0)
Chapter 2: Homology (2016) (0)
Differential geometry of space curves: Forgotten chapters (2022) (0)
On plane curves (2007) (0)
Chapter 4: Cohomology Operations (2016) (0)
Jordan Types of Triangular Matrices over a Finite Field (2022) (0)
Geodesics on Regular Polyhedra with Endpoints at the Vertices (2016) (0)
On Lagrangian tangent sweeps and Lagrangian outer billiards (2015) (0)
Chapter 3: Spectral Sequences of Fibrations (2016) (0)
Iterating evolutes of spatial curves and of spatial polygons (2016) (0)
Projections of singular vectors of Verma modules over rank 2 Kac -Moody Lie algebras (2008) (0)
Chapter 6: K-Theory and Other Extraordinary Cohomology Theories (2016) (0)
Solutions to selected exercises (2007) (0)
Billiard Trajectories in Regular Polygons and Geodesics on Regular Polyhedra (2021) (0)
Chapter 5: The Adams Spectral Sequence (2016) (0)
Geometry of equations (2007) (0)
Memories of Vladimir Arnold Boris Khesin (2011) (0)
Billiards in ellipses and geodesics on ellipsoids (2007) (0)

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What Schools Are Affiliated With Dmitry Fuchs?

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Dmitry Fuchs's Published Works

Published Works

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What Schools Are Affiliated With Dmitry Fuchs?

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