XI Nanhua
Education and Appointments:
Nanhua Xi was born March 1963, in Yingde, Guangdong Province, China. He graduated from Huaihua Institute in 1981 as a college student, and received a Master's degree in 1985 and a Ph.D. degree in 1988, both from the East China Normal University. He was a postdoctor researcher at the Institute of Mathematics, Chinese Academy of Sciences during 1988-1989.
N. Xi specialized in algebraic groups and quantum groups. Here are some of his selected works.
1. Proved Lusztig's conjecture on based ring of a two-sided cell for affine Weyl groups of type A;
2. Determined the necessary and sufficient condition for the validity of Deligne-Langlands conjecture for affine Hecke algebras;
3. Showed that the finite dimensional representations of quantum groups over a field of characteristic p with parameter not being a root of unity behave similar to those of algebraic groups over a field of characteristic 0;
4. Obtained an explicit and concrete realization for finite dimensional irreducible representations of quantum groups at roots of unity;
5. Joint with Chari, constructed monomial bases of quantum groups;
6. Calculated some canonical bases;
7. Obtained a commutation formula for root vectors;
8. Joint with Lusztig, discovered canonical left cells,
9. Joint with Tanisaki, proved that for an affine Hecke algebra of type A, a certain geometric filtration and a certain algebraic filtration coincide.
He recieved a Morningside Silver Medal of Mathematics from the International Congress of Chinese Mathematicians in 2001, Shiing-Shen Chern Prize in 2005 from the Chinese Mathematical Society and a second class award of the National Natural Sciences Award, China, in 2007.