Zinovy Reichstein | Academic Influence

Zinovy Reichstein's AcademicInfluence.com Rankings

Zinovy Reichstein

Mathematics

#3401

World Rank

#5025

Historical Rank

Measure Theory

#4173

World Rank

#4914

Historical Rank

mathematics Degrees

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Mathematics

Zinovy Reichstein's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Zinovy Reichstein Influential?

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According to Wikipedia, Zinovy Reichstein is a Russian-born American mathematician. He is a professor at the University of British Columbia in Vancouver. He studies mainly algebra, algebraic geometry and algebraic groups. He introduced the concept of essential dimension.

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Zinovy Reichstein'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 essential dimension of a finite group (1997) (173)
Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-Varieties (1999) (137)
On the notion of essential dimension for algebraic groups (2000) (128)
Essential dimension, spinor groups and quadratic forms (2009) (51)
Resolving G-torsors by abelian base extensions (2004) (45)
On the notion of canonical dimension for algebraic groups (2004) (43)
Versality of algebraic group actions and rational points on twisted varieties (2011) (40)
Essential dimension of algebraic tori (2009) (40)
Stability and equivariant maps (1989) (39)
Cayley groups (2004) (38)
Essential dimension of moduli of curves and other algebraic stacks (2009) (38)
The essential dimension of the normalizer of a maximal torus in the projective linear group (2008) (38)
Essential dimension and algebraic stacks (2007) (37)
Fields of Definition for Division Algebras (2001) (35)
Projectively simple rings (2004) (35)
Some consequences of the Karpenko-Merkurjev theorem (2008) (29)
Equivariant resolution of points of indeterminacy (2000) (28)
On Tschirnhaus Transformations (1999) (27)
On a dynamical version of a theorem of Rosenlicht (2014) (26)
A lower bound on the essential dimension of a connected linear group (2007) (25)
On a Theorem of Hermite and Joubert (1999) (24)
An upper bound on the essential dimension of a central simple algebra (2009) (21)
On the Medvedev-Scanlon Conjecture for Minimal Threefolds of Non-Negative Kodaira Dimension (2016) (21)
Splitting fields of G-varieties (1999) (21)
Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? (2009) (20)
A birational invariant for algebraic group actions (2000) (20)
Reduction of structure for torsors over semilocal rings (2007) (17)
Free subgroups of division algebras (1995) (16)
On automorphisms of matrix invariants (1993) (15)
Smoothness in Algebraic Geography (1999) (14)
Existence of Locally Maximally Entangled Quantum States via Geometric Invariant Theory (2017) (14)
Pseudo‐reflection groups and essential dimension (2013) (14)
Locally Maximally Entangled States of Multipart Quantum Systems (2018) (13)
On the number of generators of an algebra (2016) (13)
Birational isomorphisms between twisted group actions (2005) (13)
A numerical invariant for linear representations of finite groups (2014) (13)
Essential p-dimension of algebraic groups whose connected component is a torus (2012) (12)
SAGBI bases in rings of multiplicative invariants (2003) (12)
Compressions of group actions (2004) (11)
Essential dimension of finite groups in prime characteristic (2017) (11)
Stably Cayley Groups in Characteristic Zero (2012) (11)
Polynomial identity rings as rings of functions (2004) (10)
ESSENTIAL DIMENSION AND ERROR-CORRECTING CODES (2014) (10)
Essential Dimension in Mixed Characteristic (2018) (9)
On automorphisms of matrix invariants induced from the trace ring (1993) (9)
Conditions satisfied by characteristic polynomials in fields and division algebras (2000) (9)
The rationality problem for forms of M¯0,n (2017) (9)
On a question of Makar-Limanov (1996) (9)
Group actions on central simple algebras: A geometric approach (2004) (8)
Nesting maps of Grassmannians (2003) (8)
Lattices and Parameter Reduction in Division Algebras (2000) (7)
Is the Luna stratification intrinsic (2006) (7)
Trace forms of Galois field extensions in the presence of roots of unity (2002) (7)
A genericity theorem for algebraic stacks and essential dimension of hypersurfaces (2011) (6)
An Embedding Property of Universal Division Algebras (1995) (6)
Stable affine models for algebraic group actions. (2004) (6)
Torus Actions on Rings (1994) (6)
Rational central simple algebras (1996) (6)
Symmetric functions and the phase problem in crystallography (2003) (5)
The Jordan property of Cremona groups and essential dimension (2018) (5)
Surfaces parameterizing Waring presentations of smooth plane cubics. (1993) (5)
WHAT IS...Essential Dimension (2012) (5)
Fields of Definition for Representations of Associative Algebras (2017) (4)
Special Groups, Versality and the Grothendieck-Serre Conjecture (2019) (4)
Group actions and invariants in algebras of generic matrices (2005) (4)
Essential dimension of inseparable field extensions (2018) (4)
Maximal representation dimension of finite p-groups (2009) (4)
Tame group actions on central simple algebras (2007) (3)
Joubert's theorem fails in characteristic 2 (2014) (3)
Trace forms of Galois extensions in the presence of a fourth root of unity (2003) (3)
The behavior of essential dimension under specialization (2021) (3)
On the Dimension of the Locus of Determinantal Hypersurfaces (2016) (3)
Essential dimension of double covers of symmetric and alternating groups (2019) (3)
The Noether Problem for spinor groups of small rank (2019) (3)
On the rationality problem for forms of moduli spaces of stable marked curves of positive genus (2017) (2)
The behavior of essential dimension under specialization II (2021) (2)
On a Property of Real Plane Curves of Even Degree (2017) (2)
A NOTE ON RETRACTS AND LATTICES (AFTER D. J. SALTMAN) (2006) (2)
From Hilbert’s 13th problem to essential dimension and back (2021) (2)
Toric-friendly groups (2010) (2)
On the Cayley degree of an algebraic group (2006) (2)
Bundles, cohomology and truncated symmetric polynomials (2009) (2)
Maximal representation dimension for groups of order $p^n$ (2009) (2)
A functional interpretation of the ring of matrix invariants (1991) (2)
Reichstein: Cayley groups (2)
Hermite’s theorem via Galois cohomology (2018) (2)
The Hermite-Joubert problem over -closed fields (2017) (2)
Linear families of smooth hypersurfaces over finitely generated fields (2022) (1)
The Lie algebra of type G_2 is rational over its quotient by the adjoint action (2013) (1)
On a Rationality Problem for Fields of Cross-ratios (2018) (1)
A graph-theoretic approach to a conjecture of Dixon and Pressman (2020) (1)
Higher trace forms and essential dimension in central simple algebras (2007) (1)
On the number of generators of a separable algebra over a finite field (2017) (1)
Essential dimension of extensions of finite groups by tori (2021) (1)
A non-split torsor with trivial fixed point obstruction (2003) (1)
Hilbert's 13th Problem for Algebraic Groups (2022) (1)
Configurations for File Transfer Protocol Error Protection (1986) (1)
Hadamard codes which have an even number of ones in each half (1987) (1)
SAGBI bases for rings of invariant Laurent polynomials (2008) (1)
TAME GROUP ACTIONS ON CENTRAL SIMPLE ALGEBRAS MARCH 14, 2007 (2007) (0)
LINEAR FAMILIES OF SMOOTH HYPERSURFACES OVER FINITE FIELDS (2022) (0)
Algebraic groups, quadratic forms and related topics (2009) (0)
On waring presentations of cuspidal cubics (1992) (0)
Generators of Central Simple Algebras (1998) (0)
Rational self-maps with a regular iterate on a semiabelian variety (2022) (0)
Codes with Parity Conditions on Subsets of Coordinates (1985) (0)
The Jordan property of Cremona groups and essential dimension (2018) (0)
Parusinski’s “Key Lemma” via algebraic geometry (1999) (0)
SAGBI BASES FOR RINGS OF INVARIANT (2008) (0)
Maximal representation dimension for groups of finite p-groups (2009) (0)
The Hermite-Joubert problem over p-fields (2015) (0)
NSERC USRA Report Summer 2017 Simplifying polynomials of degree 5 by Tschirnhaus Transformation Student (2017) (0)
On the essential dimension of an algebraic group whose connected component is a torus (2020) (0)
On a property of special groups (1999) (0)
Zinovy REICHSTEIN Is the Luna stratification intrinsic ? (2008) (0)
On the number of symmetric presentations of a determinantal hypersurface (2020) (0)
On a rationality problem for fields of cross-ratios II (2020) (0)
The behavior of stability under equivariant maps (1988) (0)
Hermite’s theorem via Galois cohomology (2019) (0)
Existence of Locally Maximally Entangled Quantum States via Geometric Invariant Theory (2018) (0)
Minimum-distance Problems in Protocol Design (1984) (0)

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