Overview
My research interests are Hodge theory and complex geometry, especially local and global properties of period maps, application of Hodge theory to moduli and singularity theory.
Current Appointments & Affiliations
William W. Elliott Assistant Research Professor
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
EIGENPERIODS AND THE MODULI OF POINTS IN THE LINE
Journal Article Nagoya Mathematical Journal · January 1, 2025 We study the period map of configurations of n points on the projective line constructed via a cyclic cover branching along these points. By considering the decomposition of its Hodge structure into eigenspaces, we establish the codimension of the locus wh ... Full text CiteREMARKS ON EIGENSPECTRA OF ISOLATED SINGULARITI
Journal Article Pacific Journal of Mathematics · January 1, 2024 We introduce a simple calculus, extending a variant of the Steenbrink spectrum, to describe Hodge-theoretic invariants for smoothings of isolated singularities with relative automorphisms. After computing these “eigenspectra” in the quasihomogeneous case, ... Full text CiteCompletion of two-parameter period maps by nilpotent orbits
Preprint · December 1, 2023 We show that every two-parameter period map admits a Kato--Nakayama--Usui completion to a morphism of log manifolds. ... Open Access Link to item CiteEducation, Training & Certifications
Washington University in St. Louis ·
2022
Ph.D.