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Matrix Points on Varieties
Asvin G, Yifeng Huang, Ruofan Jiang +1
We study the cohomology of , the moduli space of commuting -by- matrices satisfying the equations defining a quasi-projective scheme . This space can be viewed as…
Just-likely intersections on Hilbert modular surfaces
Asvin G., Qiao He, Ananth N. Shankar
In this paper, we prove an intersection-theoretic result pertaining to curves in certain Hilbert modular surfaces in positive characteristic. Specifically, we show that given two a…
Polysymmetric functions and motivic measures of configuration spaces
Asvin G, Andrew O'Desky
We introduce a generalization of symmetric functions and apply the resulting theory to compute the class in the Grothendieck ring of varieties of the space of geometrically irreduc…
Unlikely and just likely intersections for high dimensional families of elliptic curves
Asvin G
Given two varieties V,W in the n-fold product of modular curves, we answer affirmatively a question (formulated by Shou-Wu Zhang's AIM group) on whether the set of points in V that…