Research interests: Dynamical systems, symplectic geometry, low-dimensional topology, gauge theory.
Bio:
2025-: Assistant Professor, Princeton
2023-2025: Miller Research Fellow, UC Berkeley
2018-2023: PhD, Princeton (advised by Helmut Hofer)
Research
High-dimensional families of holomorphic curves and three-dimensional energy surfaces. (arXiv)
Low-action holomorphic curves and invariant sets (with D. Cristofaro-Gardiner). (arXiv)
Periodic points of rational area-preserving homeomorphisms. Ergodic Theory Dynam. Systems. (journal, arXiv)
Generic equidistribution for area-preserving diffeomorphisms of surfaces with boundary (with A. Pirnapasov). Rev. Math. Iberoam. (journal, arXiv)
Contact homology and higher dimensional closing lemmas (with J. Chaidez, I. Datta, S. Tanny). J. Mod. Dyn. (journal, arXiv)
Volume-preserving right-handed vector fields are conformally Reeb. J. Fixed Point Theory Appl. (journal, arXiv)
Generic equidistribution of periodic orbits for area-preserving surface maps. IMRN. (journal, arXiv)
A note on the existence of U-cyclic elements in periodic Floer homology (with D. Cristofaro-Gardiner, D. Pomerleano, B. Zhang). Proc. Amer. Math. Soc., to appear. (arXiv)
Periodic Floer homology and the smooth closing lemma for area-preserving surface diffeomorphisms (with D. Cristofaro-Gardiner, B. Zhang). (arXiv)
Invariant measures from pseudoholomorphic curves II: Pseudoholomorphic curve constructions. J. Mod. Dyn. (journal, arXiv)
Invariant measures from pseudoholomorphic curves I. J. Mod. Dyn. (journal, arXiv)
The Seiberg-Witten invariant of a homology S^1 x S^3 (expository undergraduate thesis). (pdf)
Coincidences among skew stable and dual stable Grothendieck polynomials (with E. Alwaise, S. Chen, A. Clifton, R. Patrias, M. Shinners, A. Zheng). Involve. (journal, arXiv)
Bounding sequence extremal functions with formations (with J. T. Geneson, J. Tidor). Electr. J. Comb. (journal, arXiv)