3 papers
math.NT2019
From partitions to Hodge numbers of Hilbert Schemes of Surfaces
Nate Gillman, Xavier Gonzalez, Ken Ono +2
We celebrate the 100th anniversary of Srinivasa Ramanujan's election as a Fellow of the Royal Society, which was largely based on his work with G. H. Hardy on the asymptotic proper…
math.NT2018
Exact Formulas for Invariants of Hilbert Schemes
Nate Gillman, Xavier Gonzalez, Matthew Schoenbauer
A theorem of Göttsche establishes a connection between cohomological invariants of a complex projective surface and corresponding invariants of the Hilbert scheme of points…
math.NT2017
Moonshine for All Finite Groups
Samuel DeHority, Xavier Gonzalez, Neekon Vafa +1
In recent literature, moonshine has been explored for some groups beyond the Monster, for example the sporadic O'Nan and Thompson groups. This collection of examples may suggest th…