My research interest is in algebraic geometry, specifically birational geometry, singularities, moduli spaces, and Hodge theory. My current work involves higher rational and higher Du Bois singularities, with an emphasis on their deformation theory and behavior in families, and relations to the Minimal Model program and moduli theory. My detailed CV is available upon request.
Higher Du Bois pairs and m-liftable cotorsions. In Preparation.
Duality for relative Du Bois complexes. In Preparation.
Relative Du Bois complexes over higher dimensional bases (with D. Kassabova). In Preparation.
Deformations, local freeness, and base change for higher Du Bois singularities. Submitted. arXiv:2608.07849.
Higher Du Bois and higher rational pairs (with B. Nugent). Submitted. arXiv:2510.19813.
Symplectic embeddings of four-dimensional polydisks into half integer ellipsoids (with L. Digiosia, J. Nelson, M. Weiler, Y. Yang). JFTPA 24, 69 (2022).
Recent & Upcoming Conference Travels:
Differential Forms, Singularities and Applications, Aug 9-12, 2027, University of Washington · Seattle
ICERM Workshop on Moduli of K3 Surfaces, Nov 9-13, 2026, ICERM (Poster)
Simons School and Workshop on Higher Dimensional Varieties , Oct 5-16, 2026, Rényi Institute, Erdős Center (Talk Slides)
Past Conference Travels:
You might have also seen me at these conferences.
WAGS Fall 25, Nov 7-9, 2025, University of Oregon (Talk Slides, Poster)
Summer Research Institute 2025, Jul 14-18, 2025, Colorado State University (Poster)
Bootcamp for the Summer Research Institute, Jun 8-12, 2025, Colorado State University (Poster)
Joint Mathematics Meeting, Jan 8-11, 2025, Seattle
WAGS Fall 24, Nov 16-17, 2024, University of Arizona
Moduli of Varieties, Nov 7-10, 2024, University of Utah
Higher Du Bois and Higher Rational Singularities Workshop, Oct 28-Nov 1, 2024, American Institute of Mathematics
Combinatorics and Geometry of Moduli Spaces of Curves, Jul 28-Aug 2, 2024, Banff International Research Station
WAGS Spring 24, Apr 27-28, 2024, University of California, Davis
Higher Dimensional Algebraic Geometry, Jan 10-14, 2024, University of California, San Diego
WAGS Fall 23, Nov 4-5, 2023, Washington University in St. Louis
FRG Workshop on Brauer Groups and Derived Categories, Oct 20-23, 2023, Northwestern
AGNES Summer School on Intersection Theory on Moduli Spaces, Jul 11-14, 2023, Brown
WAGS Spring 23, Apr 1-2, 2023, University of Washington
Arizona Winter School on Unlikely Intersections, Mar 4-8, 2023, University of Arizona
WAGS Fall 22, Nov 5-6, 2022, University of California, Riverside
WAGS Spring 22, Apr 22-24, 2022, Colorado State University