I am a 4th year math graduate student at Harvard University studying with Prof. Mihnea Popa. 

Before that, I was an undergraduate student at the University of Waterloo. There I worked on math problems in several different areas with Professors Kathryn Hare, Kevin Hare and Matthew Satriano.

My CV. 

Research interests

I am interested in singularities in algebraic geometry, Hodge theory and algebraic K-theory. In particular, I am trying to understand the higher rational and higher Du Bois singularities that were introduced recently as a refinement of rational and Du Bois singularities, and their relations to birational geometry, deformation theory, as well as negative K-theory.

Papers and preprints

• (with Mihnea Popa and Anh Duc Vo) Vanishing theorems for the Du Bois complexes, in preparation.

• (with Matthew Satriano) The Du Bois complexes of moduli spaces, in preparation.

• (with Sridhar Venkatesh and Anh Duc Vo) On k-Du Bois and k-rational singularities, preprint. arxiv

• (with Sridhar Venkatesh and Anh Duc Vo) Local vanishing for toric varieties, preprint. arxiv

• (with Kathryn Hare and Kevin Hare) The L^q-spectrum for a class of self-similar measures with overlap, Asian Journal of Mathematics, 2021. 

• (with Jenna Rajchgot and Matthew Satriano) Some combinatorial cases of the three matrix analog of Gerstenhaber’s theorem, Proceedings of the 2019 AWM

• (with Kathryn Hare, Kevin Hare and Brian Morris) The entropy of Cantor-like measures. Acta Mathematica Hungarica, 2019.

Presentations

• Du Bois singularities, rational singularities, and beyond, Algebraic Geometry Seminar, Stanford University, March 2024.

• Du Bois singularities, rational singularities, and beyond, Geometry and Topology Seminar, University of Waterloo, February 2024.

• Du Bois singularities, rational singularities, and beyond, Algebra and Algebraic Geometry Seminar, University of Wisconsin-Madison, December 2023.

• Higher Du Bois and higher rational singularities, Birational Geometry Seminar, August 2023.

• Higher Du Bois and higher rational singularities for cones, Georgia Algebraic Geometry Symposium, April 2023. slides

• Hodge theory for elliptic curves, Trivial Notions Seminar, Harvard University, April 2022.

• A survey of Hartshorne's conjecture, Open problems in Algebraic Geometry Seminar, Harvard University, November 2021.

• A survey of the three matrix analog of Gerstenhaber's theorem, Canadian Undergraduate Mathematics Conference (CUMC), Queen's University, July 2019. 

• Self-similar measures, Canadian Undergraduate Mathematics Conference (CUMC), University of Saskachewan, July 2018.

• Properties of infinite convolutions, Southwestern Ontario Graduate Mathematics and Statistics Conference (SOGMSC), University of Guelph, June 2018.