Professor of Mathematics
A.B., Peking University, 2004; Ph.D., University of California, Berkeley, 2009. Associate Professor, Caltech, 2014-16; Professor, 2016-.
Research Areas: Mathematics
Xinwen works in Geometric Represenation Theory. His research focuses on geometric aspects of the Langlands program, with applications to both Number Theory and Quantum Physics. He has made important contributions to the classical Langlands program, most notably establishing a conjecture of Pappas and Rapoport, and a conjecture of Kottwitz on local models of Shimura varieties, the latter work joint with Pappas. More recently, he settled a long-standing open problem in algebraic geoemtry, on the represetabilty of the Witt vector aﬃne Grassmanian.