Symplectic/contact topology, mirror symmetry and mathematical physics 

My research description (Yong-Geun Oh)

Yong-Geun Oh’s research aims to establish and develop the emerging field of symplectic and contact topology through the tools of symplectic geometry, dynamical systems, algebraic geometry and mathematical physics. One arching research theme of Yong-Geun Oh is to promote interaction between geometry and theoretical physics.

More specifically, he has been working on the following research themes:

1. Floer homology theory and Hamiltonian dynamics,

2. Analysis of pseudoholomorphic curves,

3. Study of Fukaya categories and homological mirror symmetry

More recently, his research focuses more on the study of contact topology by employing the new analytical machinery of contact instantons and its application to contact topology and nonequilibrium thermodynamics.

In the next few years, Yong-Geun Oh will pursue a systematic quantitative study of contact Hamiltonian dynamics, thermodynamics and other related areas of mathematics and physics such as the information theory, stochastic analysis and quantum entanglement.