Upcoming
December 2026 — Visit to the Institute for Advanced Study
I will visit the Institute for Advanced Study in Princeton.
January 2027 — Visit to Oberwolfach
I will attend the Moduli Theory in Differential Geometry and Analysis Workshop in Mathematisches Forschungsinstitut Oberwolfach.
January 2027 — Talks at Cambridge and UCL
I will speak on homogeneous ℤ/2-harmonic forms on ℝ⁴ at the University of Cambridge and University College London.
2026
September 2026 — Multi-valued Harmonicity at Oxford
I spoke on homogeneous ℤ/2-harmonic forms on ℝ⁴ at the Clay Mathematics Institute’s Multi-valued Harmonicity workshop, held at the University of Oxford on September 21–25. Workshop website
Fall 2026 — Houston–College Station Learning Seminar: Harmonic Spinors
Our joint learning seminar continues this fall with a study of Hitchin’s Harmonic Spinors. I co-organize the seminar with Simone Cecchini and Christos Mantoulidis, bringing together students and faculty from the University of Houston, Texas A&M University, and Rice University. Seminar website
July 2026 — Adjunct Appointment at Rice University
I joined the Department of Mathematics at Rice University as an Adjunct Assistant Professor. Department website
March 2026 — A Proof of the Eigenvalue Ratio Bound for Embedded Surfaces
Our preprint with Ricardo Gloria-Picazzo and Shing-Tung Yau is now available on arXiv. We prove Yau’s eigenvalue-ratio conjecture, relating the spectrum of a closed embedded surface in ℝ³ to the Dirichlet spectrum of the domain it encloses. arXiv · PDF
Spring 2026 — Houston–College Station Learning Seminar: Seiberg–Witten Equations
Together with Simone Cecchini and Christos Mantoulidis, I co-organized the Houston–College Station Learning Seminar on the Seiberg–Witten equations. The seminar brought together students and faculty from the University of Houston, Texas A&M University, and Rice University, following Hutchings and Taubes’s introduction as our main reference. Seminar archive
2026 — Taubes–Wu Paper in Surveys in Differential Geometry
My joint paper with Clifford Taubes, Homogeneous ℤ/2-harmonic forms and spinors on ℝ⁴ from regular 4-polytopes, is now available. We construct homogeneous singularity models whose singular sets are cones over the edge graphs of regular four-dimensional polytopes. Publisher · PDF
2026 — ICPC North America Championship Coach Award
I received the 2026 ICPC North America Championship Coach Award.
2025
October 2025 — Talks on ℤ/2-Harmonic Forms and Spinors
I presented my work on ℤ/2-harmonic singularity models at the Saint Louis University Department Colloquium on October 10, the Harvard University Gauge Theory and Topology Seminar on October 24, and the AMS Fall Eastern Sectional Virtual Meeting on October 25–26. Harvard seminar
April 2025 — Texas Geometry and Topology Conference
I co-organized the Spring Texas Geometry and Topology Conference at the University of Houston, held on April 25–27. I also spoke on comparison theorems relating moduli spaces of trees and dual graphs over del Pezzo surfaces. Conference website
February 2025 — UW–Madison Applied Algebra Seminar
On February 6, I spoke at the University of Wisconsin–Madison Applied Algebra Seminar on moduli spaces of SUSY graphs, tree spaces, and algebraic fans. Seminar website
2025 — Moduli Spaces of SUSY Curves and Their Operads
My joint paper with Enno Keßler and Yuri I. Manin, Moduli spaces of SUSY curves and their operads, was published in Algebraic Geometry and Physics. Publisher · PDF
2025 — Harvard Wins Silver at the ICPC World Finals
Congratulations to the Harvard team on winning a silver medal at the 2025 ICPC World Finals in Baku, placing sixth overall and first among North American teams. As Harvard’s ICPC head coach, I am delighted to celebrate this achievement with the team. Harvard SEAS article
2024
November 2024 — Texas A&M Geometry Seminar
I spoke at the Texas A&M University Geometry Seminar on moduli spaces of trees, SUSY curves, and algebraic fans.
October 2024 — Interactions of Statistics and Geometry II
On October 17, I spoke at Interactions of Statistics and Geometry II, hosted by the Institute for Mathematical Sciences at the National University of Singapore. Workshop website
October 2024 — SIAM Texas–Louisiana Section Annual Meeting
On October 12, I gave two talks at Baylor University, on learning Laplace–Beltrami operators and comparison theorems on moduli spaces.
September 2024 — Rice Algebraic Geometry and Number Theory Seminar
On September 24, I spoke at Rice University’s Algebraic Geometry and Number Theory Seminar on comparison theorems on moduli spaces.
September 2024 — AMS Fall Central Sectional Meeting
On September 14, I spoke on comparison theorems for phylogenetic spaces and algebraic fans at the AMS Fall Central Sectional Meeting at the University of Texas at San Antonio. AMS Website
August 2024 — MIT Summer Geometry Initiative
I mentored four fellows in the MIT Summer Geometry Initiative on the project Eigenvalue Problems: Computation, Prediction, and Reconstruction.
2024 — Taubes–Wu Paper in the Journal of Differential Geometry
My joint paper with Clifford Taubes, Topological aspects of ℤ/2ℤ eigenfunctions for the Laplacian on S², was published in the Journal of Differential Geometry. Publisher · PDF