Email: mohamad@amss.ac.cn
Office: Siyuan Building 1011
Research interest: symplectic topology
Address:
Morningside Center of Mathematics, No.55, Zhongguancun East Road, Beijing, 100190, China
Personal information:
I am a postdoctoral researcher at Morningside Center of Mathematics, CAS.
My research mainly focuses on symplectic topology and geometry, with a particular focus on applying techniques from the theory of pseudo-holomorphic curves, such as Gromov-Witten theory, Floer homology and Fukaya categories. Currently, I am working on geometric applications of Lagrangian intersections using Lagrangian Floer theory over torsion rings.
Education & Career :
2020/08-2025/05 Ph.D. Stony Brook University, USA (Supervisors: Kenji Fukaya, Mark McLean)
2018/09-2019-10 Masters Cambridge University, UK (Supervisor: Ivan Smith)
2014/08-2017/10 B.S. American University of Beirut, Lebanon (Supervisor: Florian Bertrand)
Publications & Preprints:
1. Mohamad Rabah, Fukaya Algebra over the Integers https://arxiv.org/abs/2411.14657
2. Mohamad Rabah, Lagrangian Floer Theory over the Integers and Finite Fields (in preparation)
3. Mohamad Rabah, Hang Yuan, Gluing Analysis for Global Kuranishi Charts Construction (in preparation)
4. Mohamad Rabah, Hang Yuan, Curved L-infinity Structures in Symplectic Field Theory (in preparation)
