37 citations · 44 across the 24 of their papers we have counts for
7 papers · 1 filter
Motivic integration for singular Artin stacks
Matthew Satriano, Jeremy Usatine
Let be a birational modification of a variety by an Artin stack. In previous work, under the assumption that is smooth, we proved a change of vari…
Beyond twisted arcs: a McKay correspondence for reductive groups
Matthew Satriano, Jeremy Usatine
We introduce a natural generalization of twisted maps, called \emph{warped maps}. While twisted maps play an important role in the study of Deligne--Mumford stacks, warped maps are…
Approximating rational points on horospherical varieties
Sean Monahan, Matthew Satriano
Let be a smooth projective split horospherical variety over a number field and . Contingent on Vojta's conjecture, we construct a curve through such that…
Invariant rational functions under rational transformations
Jason Bell, Rahim Moosa, Matthew Satriano
Let be an algebraic variety equipped with a dominant rational self-map . A new quantity measuring the interaction of with trivial dynamical systems is introdu…
Orbit recovery for band-limited functions
Dan Edidin, Matthew Satriano
We study the third moment for functions on arbitrary compact Lie groups. We use techniques of representation theory to generalize the notion of band-limited functions in classical…
James reduced product schemes and double quasisymmetric functions
Oliver Pechenik, Matthew Satriano
Symmetric function theory is a key ingredient in the Schubert calculus of Grassmannians. Quasisymmetric functions are analogues that are similarly central to algebraic combinatoric…