Zihong Chen (Top)
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Email: zihongch at mit dot edu
Office: MIT 2-340b
Welcome to my home page! I'm a fifth year graduate student at MIT, fortunate to be advised by Paul Seidel.
Starting in Fall 2025, I will be a Trinity College Junior Research Fellow and Herchel-Smith Postdoctoral Fellow based at Cambridge.
I'm interested in symplectic topology, as well as its interaction with mirror symmetry and noncommutative geometry. My recent projects concern Fukaya categories and enumerative geometry in positive characteristics, and applying these techniques to questions in ordinary Gromov-Witten theory via reduction mod p methods.
Research
Research
On the exponential type conjecture, arXiv (2024).
Quantum Steenrod operations and Fukaya categories, arXiv (2024).
On operadic open-closed maps in characteristic p, arXiv (2024).
Earlier undergraduate projects
Special Lagrangians in the Landau-Ginzburg mirror of CP^2, available here (2020). Senior thesis at Harvard College, mentored by Denis Auroux.
Stability conditions and exceptional objects in triangulated categories, Math. Res. Lett, Vol 27, No 4 (2020). Available here. REU project, mentored by Hiro Lee Tanaka.
Teaching
Teaching
In Spring 2025, I am serving as teaching assistant for 18.901 Introduction to Topology.
In Fall 2024, I served as course administrator and recitation leader for 18.06 Linear Algebra.
In Spring 2024, I served as course administrator and led recitation for 18.06 Linear Algebra.
In Fall 2023, I led recitation for 18.06 Linear Algebra.
In Spring 2023, I led recitation for 18.06 Linear Algebra.
In Spring 2022, I served as teaching assistant for 18.906 Algebraic Topology II.
Seminars
Seminars
In Spring 2025, I am co-organizing a Reading seminar on local systems and mapping class groups with Yonghwan Kim and Sasha Petrov.
In Spring 2024, I co-organized a Reading seminar on crystalline cohomology and Gauss-Manin connections with Jae Hee Lee and Yonghwan Kim.
In Spring 2022, I co-organized a Reading seminar on Local to global principles in symplectic topology with Jae Hee Lee.
Talks
Talks
2025/03 Informal symplectic seminar, MIT. "Singularities and decompositions of the quantum connection".
2025/01 Symplectic Zoominar (20 min talk), online (video). "The exponential type conjecture for quantum connection".
2025/01 Winter School on Enumerative Geometry and Mirror symmetry, Caltech. Minicourse "Characteristic p methods in symplectic topology".
2024/10 M-seminar, online (video). "The exponential type conjecture for quantum connection".
2024/10 LATOP seminar, Caltech. "The exponential type conjecture for quantum connection".
2024/10 Local symplectic seminar, University of Montreal. "The exponential type conjecture for quantum connection".
2024/09 GPRT seminar, Northeastern University. "The exponential type conjecture for quantum connection".
2024/09 Northern California Symplectic Seminar, Stanford University. "The exponential type conjecture for quantum connection".
2024/06 MAGIC seminar, Imperial College London. "The exponential type conjecture and symplectic topology in characteristic p".
2024/04 Informal symplectic seminar, MIT. "Quantum Steenrod operations and Fukaya categories".
2023/12 Symplectic geometry and gauge theory seminar, Columbia University. "Cyclic open-closed maps and quantum Steenrod operations".
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