I am a graduate student at Purdue University.
I am interested in the cohomology of General Linear Groups, specifically the Symplectic group and its subgroups. Using Borel-Serre duality, I use the combinatorial properties of the Symplectic Tits building and the algebraic properties of Symplectic Steinberg modules to compute the cohomology of the Symplectic group and its congruence subgroups.
I earned a BS in Mathematics and a BA minor in Computer Science from Case Western Reserve University in May 2019.
I am originally from Cuernavaca, Mexico.
Contact: fcapovil at purdue dot edu