280 citations · 1k across the 82 of their papers we have counts for
7 papers · 1 filter
Abelian varieties with isogenous reductions
Chandrashekhar B. Khare, Michael Larsen
If A and B are abelian varieties over a number field K such that there are non-trivial geometric homomorphisms of abelian varieties between reductions of A and B at most primes of…
Shimura Varieties, Kummer Varieties, and Rational Curves
Bo-Hae Im, Michael Larsen, Sailun Zhan
For a very general product of seven or more elliptic curves, every rational curve on the Kummer variety of projects trivially onto the Kummer variety of at least one of its…
Liftable groups, negligible cohomology and Heisenberg representations
Chandrashekhar B. Khare, Michael Larsen
We consider lifting of mod p representations to mod p^2 representations in the setting of representations of (i) finite groups; (ii) absolute Galois groups of abstract fields; and…
The sparsity of character tables of high rank groups of Lie type
Michael J. Larsen, Alexander R. Miller
In the high rank limit, the fraction of non-zero character table entries of finite simple groups of Lie type goes to zero.
Residually finite dimensional algebras and polynomial almost identities
Michael Larsen, Aner Shalev
Let be a residually finite dimensional algebra (not necessarily associative) over a field . Suppose first that is algebraically closed. We show that if satisfies a h…
Products of normal subsets and derangements
Michael Larsen, Aner Shalev, Pham Huu Tiep
In recent years there has been significant progress in the study of products of subsets of finite groups and of finite simple groups in particular. In this paper we consider which…