## Research Fellow |   Cheng, Jih-Hsin

 Contact Information Email : cheng$\color{red}{@}$math.sinica.edu.tw Phone:+886 2 2368-5999 ext. 631 Fax:    +886 2 2368-9771 Links Education Ph.D. in Mathematics Univ. of Notre Dame (1983/5) M.S. National Tsing Hua University (1979/6) B.S. National Taiwan University (1975/6) Research Interests Geometric Analysis low-dimensional topology Geometry of Several Complex Variables

Work Experience
• Research Fellow Institute of Mathematics, Academia Sinica, R.O.C. 1988
• Associate Research Fellow Institute of Mathematics, Academia Sinica, R.O.C. 1983

Awards
• Ministry of Education Academic Award, 2019-12
• Academic Award of Taiwan Mathematical Society, 2017-12
• NSC distinguished research awards, 1990, 1992

Research Descriptions

Dr. Cheng's main research interest is on Cauchy-Riemann(CR for short) geometry and contact topology. In his Ph.D. dissertation, he classified all possible Lie algebras with the 2-gradation property-which is a special feature of CR-structure. Later he proved an  equivalence between CR geometry and geometry of chains, the distinguished invariant curves in CR geometry.
In 1986 he got a NSC (National Science Council) grant for a one-year at the Harvard University. At Harvard,  Professor Siu introduced John Lee to him. There John Lee and he started the study of various kinds of moduli spaces of CR structrues in dimension 3. In the fall of 1992, he had a second visit supported by the NSC. This time he visited  Professor Eliashberg of the Stanford University and began to realize the deep connection between contact topology and CR geometry and their roles in the study of 3-manifolds. Many interesting problems in this respect are just emerging and are expected to attract his attention for the following years.

Selected Publications ↓