280 citations · 1k across the 82 of their papers we have counts for
5 papers · 1 filter
Coxeter Cochain Complexes
Michael Larsen, Ayelet Lindenstrauss
We define the Coxeter cochain complex of a Coxeter group (G,S) with coefficients in a Z[G]-module A. This is closely related to the complex of simplicial cochains on the abstract s…
Hilbert schemes of points for associative algebras
Michael Larsen, Valery A. Lunts
For a finitely generated associative algebra $\cA$ over a commutative ring we construct the Hilbert scheme ${\bf H}^{[n]}_{\cA}$ which parametrizes left ideals in $\cA$ of codi…
Representation varieties of Fuchsian groups
Michael Larsen, Alexander Lubotzky
We estimate the dimension of varieties of the form Hom(F,G) where F is a Fuchsian group and G is a simple real algebraic group, answering along the way a question of I. Dolgachev.
Infinite rank of elliptic curves over $\mathbf{Q}^{\ab}$
Bo-Hae Im, Michael Larsen
If is an elliptic curve defined over a quadratic field , and the -invariant of is not 0 or 1728, then $E(\mathbf{Q}^{\ab})$ has infinite rank. If is an elliptic c…
Some Applications of the Hales-Jewett Theorem to Field Arithmetic
Bo-Hae Im, Michael Larsen
Let be a field whose absolute Galois group is finitely generated. If neither finite nor of characteristic 2, then every hyperelliptic curve over with all of its Weierst…