E-mail: chenhi at math dot berkeley dot eduOffice: Evans 941The photo to the left was taken in Jiufen [九份], a mountain town in Taiwan. It was the setting for Hou Hsiao-Hsien's film A City of Sadness [悲情城市] and also served as inspiration for the spirit town in Hayao Miyazaki's Spirited Away.The photo to the right was taken in Tainan [台南], Taiwan in a cafe called 存憶. |

Hi. I'm Harrison Chen [陳奕元], a graduate student of mathematics at UC Berkeley. I grew up in Chelmsford, MA, graduated from Chelmsford High School and completed my undergraduate education at MIT in 2011. My advisor is David Nadler.

I am interested in interactions between derived algebraic geometry and representation theory. I have spent some time thinking about: cyclic homology, derived loop spaces, D-modules, Deligne-Langlands, affine Hecke algebras, affine character sheaves, Springer theory, matrix factorizations, and mixed (pure, Tate) Hodge structures.

Curriculum Vitae

*Koszul duality for ind-coherent sheaves on loop spaces of quotient stacks*, in preparation.- arXiv:1708.06079,
*Equivariant localization for cyclic homology*, 2017. - arXiv:1107.5996, with Martina Balagovic,
*Category O for Rational Cherednik Algebras H_{t,c}(GL_2(F_p),h) in Characteristic p*, 2012. | ScienceDirect - arXiv:1107.0504, with Martina Balagovic,
*Representations of Rational Cherednik Algebras in Positive Characteristic*, 2012. | ScienceDirect

*Equivariant localization for cyclic homology*, Student Algebraic Geometry Seminar, September 18, 2017*Mixed Hodge structures and representation theory*, Student Algebraic Geometry Seminar, April 3, 2017 (scanned notes)*Ind-coherent sheaves on (affine) derived schemes*, Derived Algebraic Geometry Seminar, February 9 and 16, 2017 (notes)*Derived de Rham cohomology*, Student Algebraic Geometry Seminar, March 14, 2016*Beilinson-Bernstein on the base affine*, GRASP Seminar, October 16 and 23, 2015 (notes)*Bivariant Riemann-Roch for singular varieties*, Student Algebraic Geometry Seminar, October 5, 2015*Local systems in derived algebraic geometry*, Geometric Representation Theory Seminar, March 10, 2015 (notes)*What is the asymptotic semigroup?*, Geometric Representation Theory Seminar, May 1, 2014*Semiorthogonal decompositions, exceptional collections and Orlov's theorem*, Student Algebraic Geometry Seminar, March 17, 2014*Cohomological operators on singular hypersurfaces*, GRASP Seminar, February 21, 2014*Matrix factorizations for the determinant equation*, Commutative Algebra and Algebraic Geometry Seminar, February 4, 2014*Equivariant cohomology and Koszul duality*, Pre-MSRI Topology Seminar, October 29, 2013 (notes)*Equivariant Schubert calculus and puzzles*, FLAGS Seminar, October 25, 2013 (notes, scanned notes)*D-modules and representation theory*, Student Algebraic Geometry Seminar, October 7, 2013*SV, EV* are Koszul dual; BGG correspondence*, Koszul Duality Seminar, October 3, 2013*Springer theory*, Geometric Representation Theory Seminar, September 19, 2013*D-modules on the affine line*, Geometric Representation Theory Seminar, September 25, 2012

books from taiwan

fun with water in taiwan

I took this picture shortly after the most memorable moment I experienced on a mountain. We woke before dawn to climb a Lassen Peak shrouded in fog; climbing into the fog with no visibility, we knew only to follow the slope of the ridge. At some point I turned back and noticed that below me the fog had cleared, revealing a layer of clouds and the landscape below. I was so excited that I let out a rare whoop. When I looked up the slope, I saw the fog was clearing above me as well.