Michael Larsen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Sharp character bounds for symmetric groups in terms of partition length	2024	Michael Larsen
+	Amphipods (Gammarus pseudolimnaeus) do not demonstrate a left-right preference in a 3-D printed aquatic T-maze	2024	Joshua E. Wolf Michael Larsen
+ PDF Chat	Bounds for $\mathrm{SL}_2$-indecomposables in tensor powers of the natural representation in characteristic $2$	2024	Michael Larsen
+ PDF Chat	Thompson's Conjecture for Large Unitary Groups	2024	Michael Larsen Pham Huu Tiep
+ PDF Chat	Uniform Character Bounds for Finite Classical Groups	2024	Michael Larsen Pham Huu Tiep
+	Squares of conjugacy classes in alternating groups	2024	Michael Larsen Pham Huu Tiep
+	On tamely ramified infinite Galois extensions	2024	Farshid Hajir Michael Larsen Christian Maire Ravi Ramakrishna
+	Groups versus rings	2024	Michael Larsen Aner Shalev
+	Character estimates for finite simple groups and applications	2023	Michael Larsen
+	A hyperelliptic curve mapping to specified elliptic curves	2023	Bo‐Hae Im Michael Larsen Sailun Zhan
+	Products of normal subsets	2023	Michael Larsen Aner Shalev Pham Huu Tiep
+ PDF Chat	Character levels and character bounds for finite classical groups	2023	Robert M. Guralnick Michael Larsen Pham Huu Tiep
+	Disjointness of a Simple Matrix Lie Group and Its Lie Algebra	2023	Michael Larsen
+ PDF Chat	Character bounds for regular semisimple elements and asymptotic results on Thompson’s conjecture	2023	Michael Larsen Jay Taylor Pham Huu Tiep
+	Squares of Conjugacy Classes in Alternating Groups	2023	Michael Larsen Pham Huu Tiep
+ PDF Chat	Characteristic covering numbers of finite simple groups	2022	Michael Larsen Aner Shalev Pham Huu Tiep
+	Almost PI algebras are PI	2022	Michael Larsen Aner Shalev
+	Disjointness of a simple matrix Lie group and its Lie algebra	2022	Michael Larsen
+ PDF Chat	Products of derangements in simple permutation groups	2022	Michael Larsen Aner Shalev Pham Huu Tiep
+ PDF Chat	A note on Lie algebra cohomology	2021	Michael Larsen Valery A. Lunts
+ PDF Chat	Categorical measures for finite group actions	2021	Don van den Bergh Sergey Gorchinskiy Michael Larsen Valery A. Lunts
+ PDF Chat	Abelian varieties with isogenous reductions	2021	Chandrashekhar Khare Michael Larsen
+ PDF Chat	Abelian varieties and finitely generated Galois groups	2021	Bo‐Hae Im Michael Larsen
+	A large plane set intersecting lines in infinitely many directions in at most one point	2020	Vladimir Eiderman Michael Larsen
+ PDF Chat	Residually finite dimensional algebras and polynomial almost identities	2020	Michael Larsen Aner Shalev
+	Abelian varieties with isogenous reductions.	2020	Chandrashekhar Khare Michael Larsen
+	Shimura Varieties, Kummer Varieties, and Rational Curves.	2020	Bo‐Hae Im Michael Larsen Sailun Zhan
+ PDF Chat	Many Zeros of Many Characters of GL(n,q)	2020	Patrick X. Gallagher Michael Larsen Alexander R. Miller
+ PDF Chat	Multiplicative series, modular forms, and Mandelbrot polynomials	2020	Michael Larsen
+	The sparsity of character tables of high rank groups of Lie type	2020	Michael Larsen Alexander R. Miller
+	Residually finite dimensional algebras and polynomial almost identities	2020	Michael Larsen Aner Shalev
+ PDF Chat	Maximality of Galois actions for abelian and hyper-Kähler varieties	2020	Chun Yin Hui Michael Larsen
+ PDF Chat	Waring’s Problem for Rational Functions in One Variable	2020	Bo‐Hae Im Michael Larsen
+ PDF Chat	CHARACTER LEVELS AND CHARACTER BOUNDS	2020	Robert M. Guralnick Michael Larsen Pham Huu Tiep
+	The sparsity of character tables of high rank groups of Lie type	2020	Michael Larsen Alexander R. Miller
+ PDF Chat	Irrationality of motivic zeta functions	2019	Michael Larsen Valery A. Lunts
+	Almost PI algebras are PI	2019	Michael Larsen Aner Shalev
+	Many zeros of many characters of GL(n,q)	2019	Patrick X. Gallagher Michael Larsen Alexander R. Miller
+	Modular Forms, Multiplicative Functions, and Mandelbrot Polynomials	2019	Michael Larsen
+	Multiplicative Series, Modular Forms, and Mandelbrot Polynomials.	2019	Michael Larsen
+ PDF Chat	Correction to: On the K-theory of division algebras over local fields	2019	Lars Hesselholt Michael Larsen Ayelet Lindenstrauss
+ PDF Chat	On the K-theory of division algebras over local fields	2019	Lars Hesselholt Michael Larsen Ayelet Lindenstrauss
+ PDF Chat	Polynomial Parametrization for SL2 over Quadratic Number Rings	2019	Michael Larsen Dong Quan Ngoc Nguyen
+	Abelian Varieties and Finitely Generated Galois Groups	2019	Bo‐Hae Im Michael Larsen
+	A "rare'' plane set with Hausdorff dimension 2	2019	Vladimir Eiderman Michael Larsen
+ PDF Chat	Waring’s problem for unipotent algebraic groups	2019	Michael Larsen Dong Quan Ngoc Nguyen
+	Many zeros of many characters of GL(n,q)	2019	Patrick X. Gallagher Michael Larsen Alexander R. Miller
+	Character Levels and Character Bounds. II	2019	Robert M. Guralnick Michael Larsen Pham Huu Tiep
+	Polynomial Parametrization for $\text{SL}_2$ over Quadratic Number Rings	2018	Michael Larsen Dong Quan Ngoc Nguyen
+	Probabilistic Waring problems for finite simple groups	2018	Michael Larsen Aner Shalev Pham Huu Tiep
+	Waring's problem for rational functions in one variable	2018	Bo‐Hae Im Michael Larsen
+ PDF Chat	Words, Hausdorff dimension and randomly free groups	2017	Michael Larsen Aner Shalev
+	Categorical measures for finite group actions	2017	Daniel Bergh Sergey Gorchinskiy Michael Larsen Valery A. Lunts
+	Waring's problem for unipotent algebraic groups	2017	Michael Larsen Dong Quan Ngoc Nguyen
+ PDF Chat	A probabilistic Tits alternative and probabilistic identities	2016	Michael Larsen Aner Shalev
+	Character varieties and actions on products of trees	2016	David Fisher Michael Larsen Ralf Spatzier Matthew Stover
+ PDF Chat	Type A images of Galois representations and maximality	2016	Chun Yin Hui Michael Larsen
+ PDF Chat	Arithmetic quotients of the mapping class group	2015	Fritz Grunewald Michael Larsen Alexander Lubotzky Justin Malestein
+	On the distribution of values of certain word maps	2015	Michael Larsen Aner Shalev
+ PDF Chat	A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS	2015	Michael Larsen Pham Huu Tiep
+	Deformation theory and finite simple quotients of triangle groups I	2014	Michael Larsen Alexander Lubotzky Claude Marion
+ PDF Chat	The Tannakian formalism and the Langlands conjectures	2014	David Kazhdan Michael Larsen Yakov Varshavsky
+	The Waring problem for Lie groups and Chevalley groups	2014	Chun Yin Hui Michael Larsen Aner Shalev
+	A Finitary Hasse Principle for Diagonal Curves	2014	Jean Bourgain Michael Larsen
+	Rationality of motivic zeta function and cut-and-paste problem	2014	Michael Larsen Valery A. Lunts
+	A Refined Waring Problem for Finite Simple Groups	2013	Michael Larsen Pham Huu Tiep
+	Adelic openness without the Mumford-Tate conjecture	2013	Chun Yin Hui Michael Larsen
+	On the Distribution of Values of Certain Word Maps	2013	Michael Larsen Aner Shalev
+	Arithmetic quotients of the mapping class group	2013	Fritz Grunewald Michael Larsen Alexander Lubotzky Justin Malestein
+	Type A Images of Galois Representations and Maximality	2013	Chun Yin Hui Michael Larsen
+ PDF Chat	Infinite rank of elliptic curves over Q<sup>\mathrmab</sup>	2013	Bo‐Hae Im Michael Larsen
+ PDF Chat	The largest irreducible representations of simple groups	2012	Michael Larsen Gunter Malle Pham Huu Tiep
+ PDF Chat	Waring Problem for Finite Quasisimple Groups	2012	Michael Larsen Aner Shalev Pham Huu Tiep
+	Fibers of word maps and some applications	2012	Michael Larsen Aner Shalev
+	Hilbert schemes of points for associative algebras	2012	Michael Larsen Valery A. Lunts
+	Infinite rank of elliptic curves over $\mathbf{Q}^{\ab}$	2012	Bo‐Hae Im Michael Larsen
+	Some Applications of the Hales-Jewett Theorem to Field Arithmetic	2012	Bo‐Hae Im Michael Larsen
+ PDF Chat	Representation growth in positive characteristic and conjugacy classes of maximal subgroups	2011	Robert M. Guralnick Michael Larsen Pham Huu Tiep
+ PDF Chat	Low degree representations of simple Lie groups	2011	Robert M. Guralnick Michael Larsen Corey Manack
+	Waring Problem for Finite Quasisimple Groups	2011	Michael Larsen Aner Shalev Pham Huu Tiep
+	Normal Subgroup Growth of Linear Groups: the (G2; F4;E8)-Theorem	2011	Michael Larsen Alexander Lubotzky
+ PDF Chat	Exponential generation and largeness for compact<i>p</i>-adic Lie groups	2010	Michael Larsen
+ PDF Chat	Topological Quantum Computation	2010	Michael Freedman Alexei Kitaev Michael Larsen Zhenghan Wang
+	Low Degree Representations of Simple Lie Groups	2010	Robert M. Guralnick Michael Larsen Corey Manack
+ PDF Chat	Positive motivic measures are counting measures	2010	Jordan S. Ellenberg Michael Larsen
+	Algebra & Number Theory	2010	David Kazhdan Michael Larsen Yakov Varshavsky
+	P-adic Nori Theory	2009	Michael Larsen
+	Quotients of Calabi–Yau Varieties	2009	Janós Kollár Michael Larsen
+ PDF Chat	Abelian varieties over cyclic fields	2008	Bo‐Hae Im Michael Larsen
+	Generalizing a theorem of Richard Brauer	2008	Bo‐Hae Im Michael Larsen
+ PDF Chat	An algebra-level version of a link-polynomial identity of Lickorish	2008	Michael Larsen Eric C. Rowell
+	A Weak Chevalley-Warning Theorem for Quasi-finite Fields	2008	Michael Larsen Bo‐Hae Im
+	Word maps and Waring type problems	2007	Michael Larsen Aner Shalev
+	Quotients of Calabi-Yau varieties	2007	Janós Kollár Michael Larsen
+	Open conditions for infinite multiplicity eigenvalues on elliptic curves	2006	Bo‐Hae Im Michael Larsen
+	An algebra-level version of a link-polynomial identity of Lickorish	2006	Michael Larsen Eric C. Rowell
+	Abelian Varieties over Cyclic Fields	2006	Bo‐Hae Im Michael Larsen
+	Weak approximation for linear systems of quadrics	2005	Bo‐Hae Im Michael Larsen
+	A refined counter-example to the support conjecture for abelian varieties	2005	Michael Larsen René Schoof
+ PDF Chat	Density of the SO(3) TQFT Representation of Mapping Class Groups	2005	Michael Larsen Zhenghan Wang
+	A refined counter-example to the support conjecture for abelian varieties	2005	Michael Larsen René Schoof
+	The Lie algebra of cyclic coinvariants of a symplectic space	2005	Eugene Kushnirsky Michael Larsen
+	The N-eigenvalue Problem and Two Applications	2005	Michael Larsen Eric C. Rowell Zhenghan Wang
+	Open conditions for infinite multiplicity eigenvalues on elliptic curves	2005	Bo‐Hae Im Michael Larsen
+	The Higher Connectivity of Intersections of Real Quadrics	2005	Michael Larsen Ayelet Lindenstrauss
+	None	2004	Alexey Bondal Michael Larsen Valery A. Lunts
+	Grothendieck ring of pretriangulated categories	2004	Alexey Bondal Michael Larsen Valery A. Lunts
+	Random generation in semisimple algebraic groups over local fields	2003	Yiftach Barnea Michael Larsen
+ PDF Chat	The support problem for abelian varieties	2003	Michael Larsen
+	Navigating the Cayley graph of SL(2,Z/pZ)	2003	Michael Larsen
+	Determining a semisimple group from its representation degrees	2003	Michael Larsen
+	Weak approximation for linear systems of quadrics	2003	Bo‐Hae Im Michael Larsen
+	None	2003	Michael Larsen
+ PDF Chat	Motivic Measures and Stable Birational Geometry	2003	Michael Larsen Valery A. Lunts
+	A Modular Functor Which is Universal¶for Quantum Computation	2002	Michael Freedman Michael Larsen Zhenghan Wang
+ PDF Chat	The Two-Eigenvalue Problem and Density¶of Jones Representation of Braid Groups	2002	Michael Freedman Michael Larsen Zhenghan Wang
+	Rationality criteria for motivic zeta-functions	2002	Michael Larsen Valery A. Lunts
+	Rigidity in the invariant theory of compact groups	2002	Michael Larsen
+	The support problem for abelian varieties	2002	Michael Larsen
+	How often is 84(g−1) achieved?	2001	Michael Larsen
+	TOPOLOGICAL HOCHSCHILD HOMOLOGY AND THE CONDITION OF HOCHSCHILD-KOSTANT-ROSENBERG	2001	Michael Larsen Ayelet Lindenstrauss
+	Motivic measures and stable birational geometry	2001	Michael Larsen Valery A. Lunts
+	Topological Quantum Computation	2001	Michael Freedman Alexei Kitaev Michael Larsen Zhenghan Wang
+	A modular functor which is universal for quantum computation	2000	Michael Freedman Michael Larsen Zhenghan Wang
+	A connectedness criterion for l-adic Galois representations	1997	Michael Larsen Richard Pink
+	Maximality of Galois actions for compatible systems	1995	Michael Larsen
+	Abelian varieties, ?-adic representations, and ?-independence	1995	Michael Larsen Richard Pink
+	On the Semisimplicity of Low-Dimensional Representations of Semisimple Groups in Characteristic p	1995	Michael Larsen
+	On ? of algebraic monodromy groups in compatible systems of representations	1992	Michael Larsen Richard Pink
+	Casson's invariant and quadratic reciprocity	1991	P. B. Kronheimer Michael Larsen John Scherk

Common Coauthors

Coauthor	Papers Together
Aner Shalev	18
Pham Huu Tiep	18
Bo‐Hae Im	17
Valery A. Lunts	11
Zhenghan Wang	7
Robert M. Guralnick	6
Chun Yin Hui	5
Michael Freedman	5
Dong Quan Ngoc Nguyen	4
Alexander Lubotzky	4
Ayelet Lindenstrauss	4
Eric C. Rowell	3
Richard Pink	3
Patrick X. Gallagher	3
Alexander R. Miller	3
René Schoof	2
Yakov Varshavsky	2
Alexander R. Miller	2
Justin Malestein	2
Vladimir Eiderman	2
Janós Kollár	2
Sailun Zhan	2
David Kazhdan	2
Alexei Kitaev	2
Lars Hesselholt	2
Corey Manack	2
Fritz Grunewald	2
Chandrashekhar Khare	2
Sergey Gorchinskiy	2
Claude Marion	1
Ralf Spatzier	1
Ravi Ramakrishna	1
P. B. Kronheimer	1
Alexey Bondal	1
Don van den Bergh	1
Jean Bourgain	1
Alexey Bondal	1
Joshua E. Wolf	1
Christian Maire	1
Jay Taylor	1
Daniel Bergh	1
Yiftach Barnea	1
Farshid Hajir	1
Jordan S. Ellenberg	1
John Scherk	1
David Fisher	1
Matthew Stover	1
Eugene Kushnirsky	1
Gunter Malle	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Characters of symmetric groups: sharp bounds and applications	2008	Michael Larsen Aner Shalev	13
+ PDF Chat	Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements	2012	Jason Fulman Robert M. Guralnick	12
+ PDF Chat	The Ore conjecture	2010	Martin W. Liebeck E. A. O’Brien Aner Shalev Pham Huu Tiep	11
+ PDF Chat	Word maps have large image	2004	Michael Larsen	11
+ PDF Chat	The Waring problem for finite simple groups	2011	Michael Larsen Aner Shalev Pham Huu Tiep	11
+	Word maps and Waring type problems	2008	Michael Larsen Aner Shalev	11
+	The Subgroup Structure of the Finite Classical Groups	1990	Peter B. Kleidman Martin W. Liebeck	10
+ PDF Chat	Word maps, conjugacy classes, and a noncommutative Waring-type theorem	2009	Aner Shalev	9
+	Character degrees and random walks in finite groups of Lie type	2004	Martin W. Liebeck Aner Shalev	9
+	Fibers of word maps and some applications	2012	Michael Larsen Aner Shalev	8
+	The Ore conjecture	2010	Martin W. Liebeck E. A. O’Brien Aner Shalev Pham Huu Tiep	8
+	Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks	2003	Martin W. Liebeck Aner Shalev	8
+	Mixing and generation in simple groups	2007	Aner Shalev	7
+	On subgroups ofGL n (F p )	1987	Madhav V. Nori	7
+	Motivic measures	2000	Eduard Looijenga	7
+ PDF Chat	Fuchsian groups, finite simple groups and representation varieties	2004	Martin W. Liebeck Aner Shalev	6
+	Compact Subgroups of Linear Algebraic Groups	1998	Richard Pink	6
+	Éléments de géométrie algébrique	1964	Alexandre Grothendieck	6
+	On the Minimal Degrees of Projective Representations of the Finite Chevalley Groups, II	1993	Gary M. Seitz Alexandre Zalesski	6
+	Linear algebraic groups	1966	Armand Borel	5
+	La conjecture de Weil. I	1974	Pierre Deligne	5
+	Root systems and elliptic curves	1976	Eduard Looijenga	5
+ PDF Chat	Product decompositions of quasirandom groups and a Jordan type theorem	2011	Nikolay Nikolov László Pyber	5
+	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern	1983	Герд Фалтингс	5
+	The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups	2000	Mikhail Kapranov	5
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	5
+ PDF Chat	On the conjectures of J. Thompson and O. Ore	1998	Erich W. Ellers Nikolai Gordeev	5
+	Two Combinatorial Problems in Group Theory	1989	Peter Neumann	5
+	A Course in Arithmetic	1973	Jean Pierre Serre	5
+	Linear Algebraic Groups	1991	Armand Borel	5
+	On the minimal degrees of projective representations of the finite Chevalley groups	1974	Vicente Landazuri Gary M. Seitz	5
+	Conjugacy Classes in Semisimple Algebraic Groups	2011	James E. Humphreys	5
+	On ? of algebraic monodromy groups in compatible systems of representations	1992	Michael Larsen Richard Pink	5
+	Products of conjugacy classes and fixed point spaces	2011	Robert M. Guralnick Gunter Malle	5
+	FINITE GROUPS OF LIE TYPE Conjugacy classes and complex characters	1987	J. A. Green	5
+ PDF Chat	The Two-Eigenvalue Problem and Density¶of Jones Representation of Braid Groups	2002	Michael Freedman Michael Larsen Zhenghan Wang	5
+ PDF Chat	Effective results on the Waring problem for finite simple groups	2015	Robert M. Guralnick Pham Huu Tiep	5
+	Finite subgroups of algebraic groups	2011	Michael Larsen Richard Pink	4
+	Diameters of Finite Simple Groups: Sharp Bounds and Applications	2001	Martin W. Liebeck Aner Shalev	4
+ PDF Chat	Regular elements of semisimple algebraic groups	1965	Robert Steinberg	4
+	Integer Points on Curves of Genus 1	1983	Joseph H. Silverman	4
+ PDF Chat	Low-Dimensional Complex Characters of the Symplectic and Orthogonal Groups	2010	Hung Ngoc Nguyen	4
+	A note on powers in simple groups	1997	Jan Saxl John Wilson	4
+	Real conjugacy classes in algebraic groups and finite groups of Lie type	2005	Pham Huu Tiep Alexandre Zalesski	4
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre	4
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	4
+ PDF Chat	SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT	1991	Efim Zelmanov	4
+	Residual properties of free groups and probabilistic methods	2003	John D. Dixon László Pyber Ákos Seress Aner Shalev	4
+	Maximality of Galois actions for compatible systems	1995	Michael Larsen	4
+	A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS	1992	Efim Zelmanov	4