280 citations · 1k across the 82 of their papers we have counts for
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The Higher Connectivity of Intersections of Real Quadrics
Michael Larsen, Ayelet Lindenstrauss
A linear system of real quadratic forms defines a real projective variety. The real non-singular locus of this variety (more precisely of the underlying scheme) has a highly connec…
The N-eigenvalue Problem and Two Applications
Michael Larsen, Eric C. Rowell, Zhenghan Wang
We consider the classification problem for compact Lie groups which are generated by a single conjugacy class with a fixed number of distinct eigenvalues. We gi…
The Lie algebra of cyclic coinvariants of a symplectic space
Eugene Kushnirsky, Michael Larsen
We exhibit a natural Lie algebra structure on the graded space of cyclic coinvariants of a symplectic vector space.
A Mordell-Weil theorem for abelian varieties over fields generated by torsion points
Michael Larsen
If A is an abelian variety over a number field K, and L is a (possibly infinite) extension of K generated by torsion points of A, then the quotient of A(L) by its torsion subgroup…
Open conditions for infinite multiplicity eigenvalues on elliptic curves
Bo-Hae Im, Michael Larsen
Let E be an elliptic curve defined over a number field K, V the complexification of the group of rational points of E over an algebraic closure L of K, and G the Galois group Gal(L…
A refined counter-example to the support conjecture for abelian varieties
Michael Larsen, René Schoof
If A/K is an abelian variety over a number field and P and Q are rational points, the original support conjecture asserted that if the order of Q (mod p) divides the order of P (mo…