Alexander Merkurjev

Alexander Merkurjev's AcademicInfluence.com Rankings

Alexander Merkurjev

Mathematics

#1800

World Rank

#2879

Historical Rank

#733

USA Rank

Measure Theory

#3333

World Rank

#3937

Historical Rank

#961

USA Rank

mathematics Degrees

Download Badge

Mathematics

Alexander Merkurjev's Degrees

PhD Mathematics Moscow State University

Why Is Alexander Merkurjev Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Aleksandr Sergeyevich Merkurjev is a Russian-American mathematician, who has made major contributions to the field of algebra. Currently Merkurjev is a professor at the University of California, Los Angeles.

(See a Problem?)

Alexander Merkurjev'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

The Book of Involutions (1998) (1211)
The Algebraic and Geometric Theory of Quadratic Forms (2008) (510)
Cohomological Invariants in Galois Cohomology (2003) (318)
Motivic decomposition of isotropic projective homogeneous varieties (2005) (128)
Index Reduction Formulas for Twisted Flag Varieties, II (1996) (102)
Essential dimension of finite p-groups (2008) (95)
Canonical p-dimension of algebraic groups (2006) (89)
Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem (2006) (80)
The multipliers of similitudes and the Brauer group of homogeneous varieties. (1995) (78)
ESSENTIAL DIMENSION (2015) (76)
Essential dimension: a survey (2013) (66)
Unramified elements in cycle modules (2008) (55)
Essential dimension of quadrics (2003) (54)
Steenrod operations and degree formulas (2003) (48)
On standard norm varieties (2012) (48)
Brauer groups of fields (1983) (44)
R-equivalence and rationality problem for semisimple adjoint classical algebraic groups (1996) (43)
K-Theory of Algebraic Tori and Toric Varieties (1997) (41)
R-Equivalence and Special Unitary Groups (1998) (36)
Rost invariants of simply connected algebraic groups (2003) (33)
Invariants of algebraic groups and retract rationality of classifying spaces (2017) (30)
Degree three cohomological invariants of semisimple groups (2016) (29)
Rost projectors and Steenrod operations (2002) (29)
Invariants of algebraic groups (1999) (27)
Essential dimension of central simple algebras (2012) (25)
Generic element inSK1 for simple algebras (1993) (24)
Motivic cohomology of the simplicial motive of a Rost variety (2010) (24)
Invariants of quasi-trivial tori and the Rost invariant (2003) (23)
ESSENTIAL p-DIMENSION OF PGL(p) (2008) (21)
ESSENTIAL p-DIMENSION OF PGL(p) (2008) (21)
A lower bound on the essential dimension of simple algebras (2010) (20)
K-Theory and Algebraic Groups (1998) (19)
UNRAMIFIED COHOMOLOGY OF CLASSIFYING VARIETIES FOR CLASSICAL SIMPLY CONNECTED GROUPS (2002) (18)
Equivariant K-theory (2004) (18)
Adams Operations and the Brown-Gersten-Quillen Spectral Sequence (2010) (17)
Essential dimension of spinor and Clifford groups (2014) (16)
Invariants of simple algebras (2009) (16)
Rational surfaces and canonical dimension of PGL_6 (2006) (16)
On the torsion in K2 of local fields (1983) (15)
Connectedness of classes of fields and zero-cycles on projective homogeneous varieties (2006) (14)
R-equivalence on three-dimensional tori and zero-cycles (2008) (14)
Degree three cohomological invariants of reductive groups (2016) (14)
Chow Filtration on Representation Rings of Algebraic Groups (2019) (13)
R-equivalence in spinor groups (2001) (13)
On The Norm Residue Homomorphism For Fields (1996) (12)
COMPARISON OF EQUIVARIANT AND ORDINARY K-THEORY OF ALGEBRAIC VARIETIES (2007) (12)
Invariants of degree 3 and torsion in the Chow group of a versal flag (2013) (12)
On polynomially integrable convex bodies (2017) (12)
Maximal indexes of Tits algebras (1996) (11)
Weight two motivic cohomology of classifying spaces for semisimple groups (2016) (11)
Galois cohomology of biquadratic extensions (1993) (10)
Essential $p$-dimension of $\operatorname {\mathbf {PGL}}(p^2)$ (2010) (10)
UNRAMIFIED DEGREE THREE INVARIANTS OF REDUCTIVE GROUPS (2016) (10)
On the corestriction ofpn-symbol (1991) (9)
The group SK1 for simple algebras (2006) (8)
NORM PRINCIPLE FOR REDUCTIVE ALGEBRAIC GROUPS (2000) (8)
ESSENTIAL DIMENSION OF SIMPLE ALGEBRAS (2009) (8)
ALGEBRAIC ORIENTED COHOMOLOGY THEORIES (2015) (7)
ALGEBRAIC ORIENTED COHOMOLOGY THEORIES (2015) (7)
Cohomological invariants of central simple algebras (2016) (6)
Cohomological Invariants of Simply Connected Groups of Rank 3 (2000) (5)
VERSAL TORSORS AND RETRACTS (2020) (5)
Motivic decomposition of compactifications of certain group varieties (2014) (4)
R-EQUIVALENCE ON 3-DIMENSIONAL TORI AND ZERO-CYCLES (2007) (4)
Mathematics in St. Petersburg (1996) (4)
On a pairing for algebraic tori (2019) (4)
Degenerate fourfold Massey products over arbitrary fields (2022) (4)
R-EQUIVALENCE ON 3-DIMENSIONAL TORI AND ZERO-CYCLES (2007) (4)
Suslin’s conjecture on the reduced Whitehead group of a simple algebra span style=color:redThis article has been retracted/span (2015) (4)
ON THE NORM RESIDUE HOMOMORPHISM OF DEGREE TWO (2015) (4)
RATIONAL CORRESPONDENCES (2015) (3)
The Massey Vanishing Conjecture for fourfold Massey products modulo 2 (2023) (3)
RATIONAL CORRESPONDENCES (2015) (3)
Rost invariant of the center, revisited (2016) (3)
Hermitian forms over quaternion algebras (2014) (3)
Unramified degree three invariants for reductive groups of type A (2018) (3)
Essential $$p$$-dimension of split simple groups of type $$A_n$$ (2013) (3)
Algebraic K-Theory and Galois Cohomology (1994) (3)
An algebraic identity and the Jacobi–Trudi formula (2016) (3)
Degree three unramified cohomology of adjoint semisimple groups (2018) (2)
ZERO-CYCLES ON ALGEBRAIC TORI (2009) (2)
Maximal indexes of flag varieties for spin groups (2021) (2)
Rationality Problem for Classifying Spaces of Spinor Groups (2019) (2)
Equivariant connective 𝐾-theory (2021) (1)
ESSENTIAL p-DIMENSION OF SPLIT SIMPLE GROUPS OF TYPE An VLADIMIR CHERNOUSOV AND ALEXANDER MERKURJEV (2011) (1)
Excellence of function fields of conics (2015) (1)
DEVELOPMENTS IN ALGEBRAIC K-THEORY AND QUADRATIC FORMS AFTER THE WORK OF MILNOR (2010) (1)
Additive operations between connective K-theory and Chow theory (2021) (1)
ESSENTIAL DIMENSION OF QUADRATIC FORMS WITH TRIVIAL DISCRIMINANT AND CLIFFORD INVARIANT (2012) (1)
EQUIVARIANT CONNECTIVE K-THEORY (2019) (1)
Bilinear and quadratic forms and algebraic extensions (2008) (1)
Indexes of generic Grassmannians for spin groups (2022) (1)
Category of Chow motives (2008) (0)
Invariants of involutions (1998) (0)
V . 2 Equivariant K-theory (2005) (0)
Composition and triality (1998) (0)
Forms over rational function fields (2008) (0)
Cubic Jordan algebras (1998) (0)
Cohomological invariants of étale algebras (2003) (0)
Application of Steenrod operations (2008) (0)
Milnor's Lemma, Newton's Method, and Continued Fractions (2016) (0)
In Memoriam: Andrei Suslin (2020) (0)
Negligible degree two cohomology of finite groups (2022) (0)
Cohomological preliminaries: The local case (2003) (0)
DECOMPOSITION OF COMPACTIFICATIONS OF CERTAIN GROUP VARIETIES (2014) (0)
Milnor if-Theory and Galois Cohomology (2010) (0)
The variety of maximal totally isotropic subspaces (2008) (0)
Cohomological invariants of O_{}, SO_{},… (2003) (0)
Algebras of degree three (1998) (0)
The notion of “invariant” (2003) (0)
A letter from M. Rost to J-P. Serre (2003) (0)
Algebraic groups, quadratic forms and related topics (2009) (0)
Quadratic Forms and Linear Algebraic Groups (2006) (0)
RATIONAL SURFACES AND CANONICAL DIMENSION OF PGL (2016) (0)
Specialization properties of cohomological invariants (2003) (0)
Applications of the Milnor conjecture (2008) (0)
The mathematics of Andrei Suslin (2019) (0)
Tables of Dynkin indices (2003) (0)
Title Invariants of simple algebras Permalink (2009) (0)
The groups ^{+1}(,ℚ/ℤ()) (2003) (0)
The trace form in dimension \le7 (2003) (0)
Classification of Special Reductive Groups (2022) (0)
Homology and cohomology (2008) (0)
Cohomological preliminaries: The function field case (2003) (0)
if-Theory and Algebraic Groups (2012) (0)
Trialitarian central simple algebras (1998) (0)
Essential dimension: a survey (2013) (0)
Report on the BIRS workshop Quadratic Forms , Algebraic Groups , and Galois Cohomology October 4 to 9 , 2003 (0)
Function fields of quadrics (2008) (0)
A letter from B. Totaro to J-P. Serre (2003) (0)
The norm principle for type $D_n$ groups over complete discretely valued fields (2017) (0)
Involutions and Hermitian forms (1998) (0)
Report on the BIRS workshop (2003) (0)
Vladimir Aleksandrovich Voevodsky (2018) (0)
DECOMPOSITION OF CERTAIN SPECIAL LINEAR GROUPS (2014) (0)
Motivic decomposition of certain special linear groups (2016) (0)
The Chow ring of the classifying space of the unitary group (2022) (0)
Invariants of algebraic tori of degree and weight 2 (2021) (0)
Degree three unramified cohomology of adjoint semisimple groups (2017) (0)
Connective $K$-theory and Adams operations (2020) (0)
The Izhboldin dimension (2008) (0)
A letter from J-P. Serre to R. S. Garibaldi (2003) (0)
Generic values of quadratic forms and essential dimension (2012) (0)
Algebra 1 Hilbert Theorems 1 . 1 Noetherian and artinian rings and modules (2020) (0)
MOTIVIC DECOMPOSITION OF (2006) (0)
Restriction and corestriction of invariants (2003) (0)
CODIMENSION TWO CYCLES ON CLASSIFYING STACKS OF ALGEBRAIC TORI (2020) (0)
DECOMPOSABLE AND INDECOMPOSABLE ALGEBRAS OF DEGREE 8 AND EXPONENT 2 DEMBA BARRY WITH AN APPENDIX BY ALEXANDER S. MERKURJEV (2013) (0)
Motives of quadrics (2008) (0)
VERSAL TORSORS AND RETRACTS (2019) (0)
An algebraic identity and the Jacobi–Trudi formula (2016) (0)
Operations in connective K-theory (2020) (0)
Appendix: My Recollections About Oleg Izhboldin (2004) (0)
Algebras of degree four (1998) (0)

This paper list is powered by the following services:

Other Resources About Alexander Merkurjev

What Schools Are Affiliated With Alexander Merkurjev?

Alexander Merkurjev is affiliated with the following schools:

Alexander Merkurjev's Academic­Influence.com Rankings