Publications & Preprints:
Vanishing of local cohomology with applications to Hodge theory [Journal of Algebra Vol.661 (2025), pg. 160-192, DOI: https://doi.org/10.1016/j.jalgebra.2024.07.036]
Equivariant Hodge modules and rational singularities (with D. Arapura)[Michigan Math. J. 76(5): 899-922 (November 2026). DOI: 10.1307/mmj/20236443]
Differential forms and Hodge structures on singular varieties (with D. Arapura)
Differential forms on varieties with pre-k-rational singularities
Topology and Euler characteristics of tropical varieties (with C. Simpson, B. Wang, C. Wu)
Talks & Presentations:
"Cyclic covers via mixed Hodge modules", Algebraic Geometry Seminar, Purdue University
"Introduction to the Du Bois complex", Algebraic Geometry Seminar (Pre-Talk), Purdue University
"Cyclic covers via mixed Hodge modules", Singularities in the Midwest X, University of Wisconsin-Madison
"Differential forms and Hodge structures on singular varieties", AMS Fall Sectional, St. Louis University
"Differential forms on varieties with pre-k-rational singularities", Banff International Research Station (lightning talk)
"Differential forms and Hodge structures on singular varieties", Singularities in the Midwest IX, University of Wisconsin-Madison
"Equivariant Hodge Modules and Rational Singularities", Algebraic Geometry Seminar, University of Michigan
"Intersections of Local Cohomology and Hodge Theory", Algebraic Geometry Seminar, Stony Brook University.
"Rational Singularities for Hodge Modules", Algebraic Geometry Seminar, Purdue University.
"Defining Hodge Modules", Hodge Module Seminar, Purdue University.
"Direct Images of D-Modules", Hodge Module Seminar, Purdue University.
Teaching Experience:
Calculus II (Teaching Assistant) (Purdue University: MA 16200)
Calculus III (Teaching Assistant) (Purdue University: MA 26100)
Honors Calculus III (Teaching Assistant) (Purdue University: MA 27101)
Foundations of Advanced Mathematics (DePauw University: MA 223)
Linear Algebra & Differential Equations (University of Wisconsin-Madison: MA 320)
Elementary Matrix & Linear Algebra (University of Wisconsin-Madison: MA 340)