280 citations · 1k across the 82 of their papers we have counts for
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The Largest Irreducible Representations of Simple Groups
Michael Larsen, Gunter Malle, Pham Huu Tiep
Answering a question of I. M. Isaacs, we show that the largest degree of irreducible complex representations of any finite non-abelian simple group can be bounded in terms of the s…
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Robert Guralnick, Michael Larsen, Pham Huu Tiep
We study the representation growth of alternating and symmetric groups in positive characteristic and restricted representation growth for the finite groups of Lie type. We show th…
The Tannakian Formalism and the Langlands Conjectures
David Kazhdan, Michael Larsen, Yakov Varshavsky
Let H be a connected reductive group over an algebraically closed field of characteristic zero, and let G be an abstract group. In this note we show that every homomorphism from th…
Beauville surfaces and finite simple groups
Shelly Garion, Michael Larsen, Alexander Lubotzky
A Beauville surface is a rigid complex surface of the form (C1 x C2)/G, where C1 and C2 are non-singular, projective, higher genus curves, and G is a finite group acting freely on…
Low Degree Representations of Simple Lie Groups
Robert Guralnick, Michael Larsen, Corey Manack
We give upper bounds for the number of irreducible representations of dimension at most n for a compact semisimple Lie group. In particular, we prove that there are at most n irred…
Parallelopipeds of Positive Rank Twists of Elliptic Curves
Bo-Hae Im, Michael Larsen
For every n there exists an elliptic curve E over the rational numbers and an n-dimensional subspace V of non-zero rationals modulo squares such that for all v in V, the quadratic…