Laboratory of Birational Geometry
Research Field
Dr. Jungkai Alfred Chen is an algebraic geometer working on areas such as higher dimensional geometry, birational classification theory, minimal model program, and Fourier-Mukai transforms.
The laboratory aims to investigate some fundamental problems in birational geometry, based at National Taiwan University. We plan to develop some theory and techniques in higher dimension geometry including: singularities and explicit MMP, derived categories in MMP, motivic integration, pluricanonical maps, and explicit computations. We seek for a systematical approach for explicit birational classification theory, geometry of algebraic fiber spaces, and singularities in minimal model program. Also, we will also search for possible application to some real-world challenges.
With the collaboration of many more members in National Center for Theoretical Sciences (NCTS) and in other universities in Taiwan, we form some project-oriented research teams and run seminars and workshops.
The recent research focuses are on geometry of varieties in dimension three and higher, and algebraic fiber spaces.
Outstanding Research Award, National Science Council, 1999, 2009, 2012
Academic Award, Ministry of Education, 2012
National Chair Professorship, Ministry of Education, 2014
Fellow of the American Mathematical Society, 2016
Invited Speaker of International Congress of Mathematicians (with M. Chen 2018)
National Chair Professorship, Ministry of Education, 2022
B.A. Mathematics, National Taiwan University, Taiwan, 09/1988 06/1992
Ph.D. Mathematics, University of California, Los Angeles, USA, 09/1992 06/1997