Rohil Prasad

Email: rrprasad[symbol]berkeley.edu

I am a mathematician working as a Miller Research Fellow at UC Berkeley. My research interests include dynamical systems, symplectic geometry, and gauge theory. I got my PhD in 2023 from Princeton, advised by Helmut Hofer.

Research

10. A global Le Calvez-Yoccoz property of area-preserving surface diffeomorphisms and three-dimensional Reeb flows (with D. Cristofaro-Gardiner). (arXiv, pdf)
9. Periodic points of rational area-preserving homeomorphisms. (arXiv)
8. Generic equidistribution for area-preserving diffeomorphisms of surfaces with boundary (with A. Pirnapasov). (arXiv)
7. Contact homology and higher dimensional closing lemmas (with J. Chaidez, I. Datta, S. Tanny). J. Mod. Dyn., to appear. (arXiv)
6. Volume-preserving right-handed vector fields are conformally Reeb. J. Fixed Point Theory Appl. (journal, arXiv)
5. Generic equidistribution of periodic orbits for area-preserving surface maps. IMRN. (journal, arXiv)
4. A note on the existence of U-cyclic elements in periodic Floer homology (with D. Cristofaro-Gardiner, D. Pomerleano, B. Zhang). PAMS, to appear. (arXiv)
3. Periodic Floer homology and the smooth closing lemma for area-preserving surface diffeomorphisms (with D. Cristofaro-Gardiner, B. Zhang). (arXiv)
2. Invariant measures from pseudoholomorphic curves II: Pseudoholomorphic curve constructions. J. Mod. Dyn. (journal, arXiv)
1. Invariant measures from pseudoholomorphic curves I. J. Mod. Dyn. (journal, arXiv)
0. The Seiberg-Witten invariant of a homology S^1 x S^3 (expository undergraduate thesis). (pdf)
-1. 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)
-2. Bounding sequence extremal functions with formations (with J. T. Geneson, J. Tidor). Electr. J. Comb. (journal, arXiv)