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I graduated with a Ph.D. in mathematics from Purdue University under the guidance of Donu Arapura. I'm currently a Van-Vleck Visiting Assistant Professor at the University of Wisconsin-Madison. I was formerly an Assistant Professor (non-tenure track) of mathematics at DePauw University. My research is in complex algebraic geometry. In particular, it focuses on the theory of mixed Hodge modules for applications to algebraic geometry.
I graduated with a Ph.D. in mathematics from Purdue University under the guidance of Donu Arapura. I'm currently a Van-Vleck Visiting Assistant Professor at the University of Wisconsin-Madison. I was formerly an Assistant Professor (non-tenure track) of mathematics at DePauw University. My research is in complex algebraic geometry. In particular, it focuses on the theory of mixed Hodge modules for applications to algebraic geometry.
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)[To appear in Michigan Math. J.]
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", 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.
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