Xinwen Zhu

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Contact Info:

233 Science Center
Department of Mathematics
Harvard University
Cambridge, MA 02138
Tel: (617)496-0829
Email: xinwenz at math

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I am currently interested in geometric representation theory, which means I spend time both in representation theory and algebraic geometry.

Check my Curriculum Vitae.

Teaching:
Spring 2012, Math 232b, Introduction to Algebraic Geometry II.
Fall 2011, Math 232a, Introduction to Algebraic Geometry I.
Fall 2011, Math 136, Differential Geometry.
Spring 2011, Math 222, Lie groups and Lie Algebras.
Fall 2010, Math 282x, Algebraic Differential Equations.
Spring 2010, Math 284, Loop groups and their flag varieties.
Fall 2009, Math 21a, Multi-variable Calculus

Preprints:
Geometrical Langlands in prime characteristic (draft, with Tsao-Hsien Chen).
Cohomology of affine flag varieties (draft).
Frenkel-Gross' irregular connection and Heinloth-Ngo-Yun's are the same (draft).
Local models of Shimura varieties and a conjecture of Kottwitz (with George Pappas).
The geometrical Satake correspondence for ramified groups.
On the coherence conjecture of Pappas and Rapoport.
A categorical proof of the Parshin reciprocity laws on algebraic surfaces (with Denis Osipov).
An example of the derived geometrical Satake correspondence over integers.
The 2-group of linear auto-equivalences of an abelian category and its Lie 2-algebra.
Integral homology of loop groups via Langlands dual groups (with Zhiwei Yun).
Any flat bundle on a punctured disc has an oper structure (with Edward Frenkel).
Gerbal representations of double loop groups (with Edward Frenkel).
Affine Demazure modules and $T$-fixed point subschemes in the affine Grassmannian.

Notes:
In Spring 2010, I taught a course on Loop groups and their flag varieties. Find the (incomplete) notes here.
In Fall 2007, I ran a seminar with Joel Kamnitzer on perverse sheaves. I wrote a note on Weil II for the seminar.

Math Links:
Math Department: Berkeley, Chicago, Columbia, Harvard, MIT, Princeton, Stanford, Yale
Math Organizations: AIM, AMS, Clay, ESI, IAS, IHES, Max Planck, MSRI
People:  Arthur, Ben-Zvi, de Jong, Frenkel, Grothendieck, Katz, Langlands, Milne, Mirkovic, Ngô, Ogus, Soergel, Vilonen
Resources: Arxiv, MathSciNet, SGA, Geometric Langlands, QFT
Others: Citebase Search, Math Genealogy, Wikipedia