Rohil Prasad Email: rrprasad[symbol]berkeley.edu My research interests include dynamical systems, symplectic geometry, low-dimensional topology, and gauge theory. I am a Miller Research Fellow in the math department at UC Berkeley. I got my PhD in 2023 from 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. (arXiv)
• Generic equidistribution for area-preserving diffeomorphisms of surfaces with boundary (with A. Pirnapasov). Rev. Math. Iberoam., to appear. (arXiv)
• Contact homology and higher dimensional closing lemmas (with J. Chaidez, I. Datta, S. Tanny). J. Mod. Dyn., to appear. (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). PAMS, 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)