Leonid Vaserstein

Leonid Vaserstein's AcademicInfluence.com Rankings

Leonid Vaserstein

Mathematics

#4200

World Rank

#6016

Historical Rank

Measure Theory

#3023

World Rank

#3591

Historical Rank

mathematics Degrees

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Mathematics

Why Is Leonid Vaserstein Influential?

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According to Wikipedia, Leonid Nisonovich Vaserstein is a Russian-American mathematician, currently Professor of Mathematics at Penn State University. His research is focused on algebra and dynamical systems. He is well known for providing a simple proof of the Quillen–Suslin theorem, a result in commutative algebra, first conjectured by Jean-Pierre Serre in 1955, and then proved by Daniel Quillen and Andrei Suslin in 1976.

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Leonid Vaserstein'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

ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING (1969) (165)
SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY (1976) (154)
Bass's first stable range condition (1984) (130)
Congruence Properties of Zariski‐Dense Subgroups I (1984) (126)
ON THE GROUP SL2 OVER DEDEKIND RINGS OF ARITHMETIC TYPE (1972) (119)
On the normal subgroups of GLn over a ring (1981) (98)
On systems of particles with finite-range and/or repulsive interactions (1979) (96)
STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION (1970) (83)
On a question of M. Newman on the number of commutators (1988) (78)
The stable range of C*-algebras (1984) (70)
Isometric embed-dings between classical Banach spaces, cubature formulas, and spherical designs (1993) (66)
RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY (1982) (59)
Normal subgroups of classical groups over rings (1995) (50)
On normal subgroups of Chevalley groups over commutative rings (1986) (45)
Commutators and companion matrices over rings of stable rank 1 (1990) (45)
Operations on orbits of unimodular vectors (1986) (43)
THE STRUCTURE OF CLASSICAL ARITHMETIC GROUPS OF RANK GREATER THAN ONE (1973) (40)
Reduction of a matrix depending on parameters to a diagonal form by addition operations (1988) (38)
On symplectic groups over polynomial rings (1991) (37)
NORMAL SUBGROUPS OF ORTHOGONAL GROUPS OVER COMMUTATIVE RINGS (1988) (33)
Normal subgroups of symplectic groups over rings (1989) (32)
The subnormal structure of general linear groups (1986) (32)
STABILIZATION FOR CLASSICAL GROUPS OVER RINGS (1974) (30)
Commutators in linear groups (1989) (30)
The subnormal structure of general linear groups over rings (1990) (27)
On the Whitehead determinant for semi-local rings (2005) (27)
Similarity Classes of 3 × 3 Matrices Over a Local Principal Ideal Ring (2007) (26)
Waring's problem for algebras over fields (1987) (25)
On the groups SL2(ℤ[x]) and SL2(k[x, y]) (1994) (24)
Normal subgroups of the general linear groups over Banach algebras (1986) (24)
Factorization of invertible matrices over rings of stable rank one (1990) (23)
Computation of k1 Via mennicke symbols (1987) (21)
Sums of cubes in polynomial rings (1991) (18)
Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups (2010) (18)
Normal subgroups of the general linear groups over von Neumann regular rings (1986) (17)
On the sum powers of matrices (1987) (16)
Bounded reduction of invertible matrices over polynomial rings by addition operations (2007) (15)
Parametrization of Pythagorean triples by a single triple of polynomials (2007) (15)
Subnormal structure of the general linear groups over Banach algebras (1988) (14)
Waring's problem for commutative rings (1987) (14)
Every integral matrix is the sum of three squares (1986) (14)
Non-existence of rational arc length parameterizations for curves in Rn (2009) (13)
The strict Waring problem for polynomial rings (2008) (13)
A Note on Bruhat Decomposition of GL(n) over Local Principal Ideal Rings (2005) (12)
Vector bundles and projective modules (1986) (12)
Products of conjugacy classes of two by two matrices (1995) (12)
On K1-theory of the Euclidean space (1986) (11)
Units in Whitehead groups of finite groups (1983) (11)
Ramsey's Theorem and Waring's Problem for Algebras over Fields (1992) (11)
ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME (2008) (10)
Solving quadratic equations over polynomial rings of characteristic two (1998) (10)
An answer to a question of M. Newman on matrix completion (1986) (7)
Generalized euclidean group rings. (1984) (7)
Commutators in pseudo-orthogonal groups (1995) (7)
On the structure of GL2 over stable range one rings (1990) (7)
Introduction to Linear Programming (2002) (6)
Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples (2011) (6)
On subgroups of GL2 over Banach algebras and von Neumann regular rings which are normalized by elementary matrices (1991) (5)
The local evaluation of the derivative of a determinant (1986) (5)
On full subgroups in the sense of O'Meara☆ (1982) (5)
On the Diophantine Equation a3+b3+c3+d3=0 (2002) (4)
Rigid relations in GL2F (1998) (4)
On subgroups ofGL2 over non-commutative local rings which are normalized by elementary matrices (1989) (4)
Normal subgroups of classical groups over Banach algebras (1988) (3)
On normal subgroups of $\mathrm {GL}_2$ over rings with many units (1990) (3)
Matrix Zeros of quadratic equations (1988) (3)
Every integer is a sum or difference of 28 integral eighth powers (1988) (3)
Prestabilization for K1 of banach algebras (1987) (3)
On full subgroups of Chevalley groups (1985) (3)
Two-dimensional representations of the free group in two generators over an arbitrary field (2000) (2)
POLYNOMIAL PARAMETRIZATION OF PYTHAGOREAN TUPLES (2010) (2)
On the Diophantine Equation a 3 +b 3 +c 3 +d 3 =0 (2002) (2)
The stable rank of pullbacks (2014) (2)
Products of involutory matrices over rings (1995) (2)
On arithmetic subgroups of simple algebraic groups (1985) (1)
Work of Pere Menal on normal subgroups (1992) (1)
Matrix Games, Linear Programming, and Linear Approximation (2006) (1)
Reduction of Linear Programming to Linear Approximation (2006) (1)
Representations of polynomials over finite fields of characteristic two as A2+A+BC+D3 (2007) (1)
Normal Subgroups of Classical Groups over von Neumann Regular Rings (1994) (0)
Similarity Classes of $3\times 3$ Matrices over a Local Principal Ideal Ring (2008) (0)
On normal subgroups of GL2 over rings with many units (2019) (0)
On catching a moving particle by narrow strips (1986) (0)
Sums of Three Cubes (1992) (0)
Sums and strict sums of biquadrates in ${\bf F}_{q}[t]$, $q \in \{3,9\}$ (2010) (0)
THE CONGRUENCE PROBLEM FOR A UNITARY GROUP OF RANK (1968) (0)
SUBGROUPS OF FINITE INDEX OF A SPINOR GROUP OF RANK ≥ 2 (1968) (0)
Leonid Vaserstein Interview (1980) (0)
Polynomial parametrization of integer matrices with given determinant (2014) (0)
Fe b 20 06 Reduction of Linear Programming to Linear Approximation (2006) (0)
An improved algorithm for finding saddlepoints of two-person zero-sum games (1991) (0)
On the best choice of a damping sequence in iterative optimization methods (1988) (0)

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