Michael J. Larsen | Academic Influence

Michael J. Larsen's AcademicInfluence.com Rankings

Michael J. Larsen

Mathematics

#1486

World Rank

#2433

Historical Rank

#612

USA Rank

Measure Theory

#3165

World Rank

#3750

Historical Rank

#919

USA Rank

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Mathematics

Michael J. Larsen's Degrees

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

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Why Is Michael J. Larsen Influential?

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According to Wikipedia, Michael Jeffrey Larsen is an American mathematician, a distinguished professor of mathematics at Indiana University Bloomington. Academic biography In high school, Larsen tied with four other competitors for the top score in the 1977 International Mathematical Olympiad in Belgrade, winning a gold medal. As an undergraduate mathematics student at Harvard University, Larsen became a Putnam Fellow in 1981 and 1983. He graduated from Harvard in 1984, and earned his Ph.D. from Princeton University in 1988, under the supervision of Gerd Faltings. After working at the Institute for Advanced Study he joined the faculty of the University of Pennsylvania in 1990, and then moved to the University of Missouri in 1997. He joined the Indiana University faculty in 2001.

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Michael J. Larsen'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

A Modular Functor Which is Universal¶for Quantum Computation (2000) (442)
Topological Quantum Computation (2001) (361)
Alternating sign matrices and domino tilings (1991) (345)
The Shape of a Typical Boxed Plane Partition (1998) (245)
Alternating-Sign Matrices and Domino Tilings (Part I) (1992) (215)
Quantum computation (1996) (157)
The Two-Eigenvalue Problem and Density¶of Jones Representation of Braid Groups (2001) (156)
Alternating-Sign Matrices and Domino Tilings (Part II) (1992) (153)
Motivic measures and stable birational geometry (2001) (149)
Grothendieck ring of pretriangulated categories (2004) (135)
Finite subgroups of algebraic groups (2011) (125)
The fractional chromatic number of mycielski's graphs (1995) (95)
Word maps and Waring type problems (2007) (95)
The Waring problem for finite simple groups (2011) (94)
On the statistical properties of Diffie-Hellman distributions (2000) (93)
Maximality of Galois actions for compatible systems (1995) (83)
On l-independence of algebraic monodromy groups in compatible systems of representatations (1992) (77)
Representation Growth of Linear Groups (2006) (73)
Determining representations from invariant dimensions (1990) (72)
Abelian varieties, ℓ-adic representations, and ℓ-independence (1995) (65)
Characters of symmetric groups: sharp bounds and applications (2008) (64)
Word maps have large image (2002) (62)
Rationality criteria for motivic zeta functions (2002) (54)
On `-independence of Algebraic Monodromy Groups in Compatible Systems of Representations (1992) (51)
On the conjugacy of element-conjugate homomorphisms (1994) (49)
Functoriality and the inverse Galois problem (2006) (46)
Density of the SO(3) TQFT Representation of Mapping Class Groups (2004) (45)
Beauville surfaces and finite simple groups (2010) (41)
Arithmetic quotients of the mapping class group (2013) (38)
The largest irreducible representations of simple groups (2010) (36)
Fibers of word maps and some applications (2012) (35)
A connectedness criterion for l-adic Galois representations (1997) (31)
On ℓ of algebraic monodromy groups in compatible systems of representations (1992) (29)
The N-eigenvalue problem and two applications (2005) (29)
The support problem for abelian varieties (2002) (28)
The Waring problem for Lie groups and Chevalley groups (2014) (27)
Waring Problem for Finite Quasisimple Groups (2011) (27)
ON THE CONJUGACY OF ELEMENT-CONJUGATE HOMOMORPHISMS II (1996) (25)
Diophantine stability (2015) (25)
Constructing semisimple p-adic Galois representations with prescribed properties (2003) (24)
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups (2010) (22)
The Problem of Kings (1995) (21)
How often is 84(g−1) achieved? (2001) (20)
Type A images of Galois representations and maximality (2013) (19)
An algebra-level version of a link-polynomial identity of Lickorish (2006) (18)
Deformation theory and finite simple quotients of triangle groups II (2013) (18)
Rank of Elliptic Curves over almost Separably Closed Fields (2003) (17)
CHARACTER LEVELS AND CHARACTER BOUNDS (2017) (17)
A Non-abelian Free Pro-pGroup Is Not Linear over a Local Field (1999) (17)
On the Distribution of Values of Certain Word Maps (2013) (16)
Navigating the Cayley graph of SL(2,Z/pZ) (2003) (16)
Normal Subgroup Growth of Linear Groups: the (G2; F4;E8)-Theorem (2011) (16)
Low Degree Representations of Simple Lie Groups (2010) (15)
Quotients of Calabi–Yau varieties (2007) (15)
Random generation in semisimple algebraic groups over local fields (2004) (15)
Functoriality and the Inverse Galois problem II: groups of type B_n and G_2 (2008) (15)
Abelian varieties over cyclic fields (2006) (14)
The Tannakian formalism and the Langlands conjectures (2010) (13)
Adelic openness without the Mumford-Tate conjecture (2013) (11)
Categorical measures for finite group actions (2017) (11)
On The Correlation Of Binary M-sequences (1999) (11)
Unitary braid representations with finite image (2008) (11)
Transcendental $\ell$-adic Galois representations (2004) (10)
A connectedness criterion for ℓ-adic galois representations-adic galois representations (1997) (10)
On the Semisimplicity of Low-Dimensional Representations of Semisimple Groups in Characteristic p (1995) (9)
Probabilistic Waring problems for finite simple groups (2018) (9)
Exploring Fractals on the Macintosh (1994) (9)
Converging sequences of p-adic Galois representations and density theorems (2004) (9)
The Normal Distribution as a Limit of Generalized Sato-Tate Measures (2008) (9)
WHITEHEAD ’ S LEMMAS AND GALOIS COHOMOLOGY OF ABELIAN VARIETIES (2003) (8)
Rigidity in the invariant theory of compact groups (2002) (8)
Representation Varieties of Fuchsian Groups (2012) (8)
Words, Hausdorff dimension and randomly free groups (2017) (7)
Exponential generation and largeness for compact p-adic Lie groups (2010) (7)
The sparsity of character tables of high rank groups of Lie type (2020) (7)
Determining a semisimple group from its representation degrees (2003) (7)
Topological Hochschild homology of algebras in characteristic p (2000) (5)
TOPOLOGICAL HOCHSCHILD HOMOLOGY AND THE CONDITION OF HOCHSCHILD-KOSTANT-ROSENBERG (2001) (5)
Abelian varieties with isogenous reductions (2020) (5)
A Mordell-Weil theorem for abelian varieties over fields generated by torsion points (2005) (5)
A probabilistic Tits alternative and probabilistic identities (2015) (5)
A refined counter-example to the support conjecture for abelian varieties (2005) (5)
A "rare'' plane set with Hausdorff dimension 2 (2019) (4)
Linear groups with Borel's property (2013) (4)
Irrationality of motivic zeta functions (2018) (4)
On the K-theory of division algebras over local fields (2018) (4)
Products of normal subsets and derangements (2020) (4)
Rational curves on quotients of abelian varieties by finite groups (2013) (4)
Many Zeros of Many Characters of GL(n,q) (2019) (4)
A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS (2013) (3)
Character Levels and Character Bounds. II (2019) (3)
Homology of maximal orders in central simple algebras (1992) (3)
Abelian varieties and finitely generated Galois groups (2019) (3)
Rationality of motivic zeta function and cut-and-paste problem (2014) (3)
Some applications of the Hales-Jewett theorem to field arithmetic (2012) (3)
Infinite rank of elliptic curves over $ℚ^{ab}$ (2013) (3)
Maximality of Galois actions for abelian and hyper-Kähler varieties (2017) (3)
Character varieties and actions on products of trees (2016) (3)
Rigidity in the Invariant Theory of Compact Lie Groups (2015) (3)
Maximality of Galois actions for abelian varieties (2017) (3)
Liftable groups, negligible cohomology and Heisenberg representations (2020) (3)
Hilbert schemes of points for associative algebras (2012) (2)
Weak approximation for linear systems of quadrics (2003) (2)
Polynomial Parametrization for SL2 over Quadratic Number Rings (2018) (2)
Parallelopipeds of Positive Rank Twists of Elliptic Curves (2010) (2)
Waring’s problem for unipotent algebraic groups (2017) (2)
Flatness of the Commutator Map Over SLn (2018) (1)
Most words are geometrically almost uniform (2019) (1)
A Finitary Hasse Principle for Diagonal Curves (2014) (1)
Compatible Systems of -adic Representations of Dimension Two (1)
Character bounds for regular semisimple elements and asymptotic results on Thompson’s conjecture (2022) (1)
Positive motivic measures are counting measures (2009) (1)
Multiplicative series, modular forms, and Mandelbrot polynomials (2019) (1)
Open conditions for infinite multiplicity eigenvalues on elliptic curves (2005) (1)
Waring’s Problem for Rational Functions in One Variable (2018) (1)
Generalizing a theorem of Richard Brauer (2008) (1)
P-adic Nori Theory (2009) (1)
A G ] 2 J an 2 00 4 GROTHENDIECK RING OF PRETRIANGULATED CATEGORIES (2004) (1)
How often is a permutation an n'th power? (1997) (1)
Correction to: On the K-theory of division algebras over local fields (2019) (0)
Level, rank, and tensor growth of representations of symmetric groups (2022) (0)
Book Review: Moments, monodromy, and perversity: Diophantine perspective (2008) (0)
The higher connectivity of intersections of real quadrics (2005) (0)
Rigid Lattices are Mordell-Weil (2004) (0)
Coxeter Complexes, Triple Collisions, and Triple Fatpoint Homology (2012) (0)
Realizing Rational Representations in Mordell-Weil Groups (2004) (0)
On the K-theory of division algebras over local fields (2019) (0)
Residually finite dimensional algebras and polynomial almost identities (2020) (0)
On a Lemma of Deligne-Serre (2004) (0)
Products of derangements in simple permutation groups (2022) (0)
Elementary Problems: E2834,E2844,E2864,E2992-E2994 (1983) (0)
Representations and Tensor Product Growth (2021) (0)
Disjointness of a simple matrix Lie group and its Lie algebra (2022) (0)
Characteristic covering numbers of finite simple groups (2021) (0)
v 1 4 J an 2 00 1 Topological Quantum Computation (2002) (0)
G R ] 9 S ep 2 01 9 PROBABILISTIC WARING PROBLEMS FOR FINITE SIMPLE GROUPS (2019) (0)
J un 2 01 9 On the K-theory of division algebras over local fields (0)
CHARACTER VALUES AT REGULAR ELEMENTS (2008) (0)
A Weak Chevalley-Warning Theorem for Quasi-finite Fields (2008) (0)
A note on Lie algebra cohomology (2020) (0)
Character varieties and actions on products of trees (2018) (0)
Infinite rank of elliptic curves over $\mathbf{Q}^{\ab}$ and quadratic twists of positive rank of four elliptic curves (2012) (0)
A Non-spectral Estimate of the Cayley Diameter of Sl 2 (f P ) (2002) (0)
Correction to: On the K-theory of division algebras over local fields (2019) (0)
Singular Plane Curves and Mordell-Weil Groups of Jacobians (2005) (0)
G R ] 1 6 Ju l 2 00 6 REPRESENTATION GROWTH FOR LINEAR GROUPS (2019) (0)
Polyhedral Sets and Combinatorics (1996) (0)
Almost pi algebras are pi (2019) (0)
Remark on Hilbert Reciprocity (2002) (0)
A large plane set intersecting lines in infinitely many directions in at most one point (2020) (0)
Modular Forms, Multiplicative Functions, and Mandelbrot Polynomials (2019) (0)
ABELIAN VARIETIES OVER FIELDS OF GENERATED BY TORSION POINTS (2005) (0)
Shimura Varieties, Kummer Varieties, and Rational Curves. (2020) (0)
G R ] 1 9 N ov 2 00 2 WORD MAPS HAVE LARGE IMAGE (2008) (0)
Some applications of the Hales-Jewett theorem to field arithmetic (2013) (0)
Identities with coefficients in simple compact Lie groups (2022) (0)
How random are word maps? (2013) (0)
A ug 2 00 4 Density of the SO ( 3 ) TQFT representation of mapping class groups by (2004) (0)
Communications in Mathematical Physics Density of the SO ( 3 ) TQFT Representation of Mapping Class Groups (2005) (0)
CURVES OVER FINITE FIELDS AND THE MANIN-MUMFORD CONJECTURE (2004) (0)
The Lie algebra of cyclic coinvariants of a symplectic space (2005) (0)
Coxeter cochain complexes (2012) (0)

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