About
Cheuk Yu Mak is a Royal Society University Research Fellow working in the School of Mathematical Sciences at the University of Southampton.
His personal homepage can be found here.
Research
Research groups
Research interests
- Symplectic topology
- Fukaya category
- Homological mirror symmetry
- Low dimensional topology
- Hamiltonian dynamics
Current research
Cheuk Yu Mak’s current research focuses on symplectic topology with a special emphasis on the interaction with low dimensional topology, mirror symmetry, and geometric representation theory. Cheuk Yu Mak uses Floer theory and the Fukaya category to study symplectic manifolds and Lagrangian submanifolds. It leads to a symplectic interpretation of the Bernstein-Gelfand-Gelfand category O which underlies the Khovanov homology of links, a solution to the non-simplicity of the area preserving homeomorphism group of a surface, and new non-displaceability phenomena for Lagrangian submanifolds.
Research projects
Active projects
Publications
Teaching
Cheuk Yu Mak has taught and supervised a variety of geometry and algebra related courses, including geometry, algebraic topology, homological algebra, etc.
Biography
2022 - present: Royal Society URF, University of Southampton.
2020-2022: Research associate, University of Edinburgh.
2017-2020: Postdoctoral research fellow, University of Cambridge.
2016-2017: Research member, Institute for Advanced Study, Princeton.
2012-2016: Ph.D., University of Minnesota
2009-2012: BSc, The Chinese University of Hong Kong