I am interested in Quantum Geometric Langlands Program. I’m currently working on Gaiotto conjecture with my postdoc advisor Professor Mikhail Finkelberg, Professor Alexander Braverman, and Roman Travkin. To be more precise, we hope to relate the category of representations of the quantum supergroups to the category of twisted D-modules on affine flags and affine Grassmannians.
2023 Twisted Gaiotto equivalence for GL(M|N), preprint, arXiv:2306.09556
2022 Untwisted Gaiotto equivalence (joint with Roman Travkin), preprint, arXiv: 2201.10462
2020 A resolution of singularities of Drinfeld compactification with an Iwahori structure, preprint, arXiv: 2104.09862
2020 Twisted Whittaker category on affine flags and category of representations of mixed quantum group, preprint, arXiv: 2104.09848
2016 Notes on singular support of constructible sheaves and D modules, preprint https://www.researchgate.net/publication/311681085,
2015 Irreducibility of Infinite Dimensional Steinberg Modules of Reductive Groupswith Frobenius Maps, Journal of Algebra 533 (2019) pp. 17-24,
2011-2015 Bachelor of Science, University of Science and Technology of China, USTC.
Department: School for Gifted Young(SCGY)
Specialty: Mathematics and Applied Mathematics
2015-2016 Master,Université de Paris-Sud, PSUD.
advisor: Dennis Gaitsgory(Harvard University)
2016-2020 P.h.D, Université de Lorraine, UL.
advisors: Dennis Gaitsgory(Harvard University), Sergey Lysenko(Université de Lorraine)
domain: geometric Langlands program
Thesis: twisted Whittaker category on affine flags and category of representations of mixed quantum group
I am interested in Quantum Geometric Langlands Program and related projects. In particular, I am interested in relating the category of representations of quantum groups (supergroups) to the category of twisted D-modules on affine flags and affine Grassmannians.
Awards:
2015 New World Mathematics Award, Bachelor Silver,
2015 Thesis Prize, The University of Chinese Academy of Sciences,
2014 Individual Gold Award of Algebra, S.T Yau college student mathematics contest,
2014 Gold Award of the team, S.T Yau college student mathematics contest,
2012 First Prize in the National Undergraduate Mathematics Contest
2010 First prize in the National High School Mathematics Contest(first place in Shandong province)
Honors:
2016 La mention Tres Bien(very good), U-PSUD,
2015 Honorary rank, University of Science and Technology of China,