139 citations · 290 across the 24 of their papers we have counts for
33 papers
Hodge theory of degenerations, (III): a vanishing-cycle calculus for non-isolated singularities
Matt Kerr, Radu Laza
We continue our study of the Hodge theory of degenerations, Part I of which covered consequences of the Decomposition Theorem and Part II of which concerned geometric applications…
Remarks on eigenspectra of isolated singularities
Ben Castor, Haohua Deng, Matt Kerr +1
We introduce a simple calculus, extending a variant of the Steenbrink spectrum, for describing Hodge-theoretic invariants of (smoothings of) isolated singularities with (relative)…
and quantum curves
Charles F. Doran, Matt Kerr, Soumya Sinha Babu
A 2015 conjecture of Codesido-Grassi-Mariño in topological string theory relates the enumerative invariants of toric CY 3-folds to the spectra of operators attached to their mirror…
Apéry extensions
Vasily Golyshev, Matt Kerr, Tokio Sasaki
The Apéry numbers of Fano varieties are asymptotic invariants of their quantum differential equations. In this paper, we initiate a program to exhibit these invariants as (mirror t…
Unipotent extensions and differential equations (after Bloch-Vlasenko)
Matt Kerr
S. Bloch and M. Vlasenko recently introduced a theory of \emph{motivic Gamma functions}, given by periods of the Mellin transform of a geometric variation of Hodge structure, which…
Hodge theory of degenerations, (II): vanishing cohomology and geometric applications
Matt Kerr, Radu Laza
We study the weighted spectrum and vanishing cohomology for several classes of isolated hypersurface singularities, and how they contribute to the limiting mixed Hodge structure of…