I am a Postdoctoral Member at Institute for Advanced Study, Princeton, USA. My mentor is Helmut Hofer. I completed my PhD from the Department of Mathematics at Stanford University, under the supervision of Yasha Eliashberg in 2021. I work in Symplectic geometry. I like thinking about moduli spaces of holomorphic curves and using them to understand various structures in the symplectic world. For example, I think about Lagrangian embeddings in R^4 and Reeb orbits on ellipsoids. I also like thinking about technical analysis relating to moduli spaces, like obstruction bundle gluing. Here are some words that hint to what I like to think about these days: Lagrangian cobordisms, knots, moduli spaces of holomorphic curves, holomorphic disks with corners and boundary on Lagrangians, obstruction bundle gluing, Floer homologies, Closing lemma, Contact Homology, SFT, Legendrian Contact Homology, Front diagrams of higher dimensional Legendrians, Gromov-Taubes invariants. |
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I co-organise the following: |
ipsi AT ias DOT edu Office: 104, Building A Institute for Advanced Study |
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