I was a graduate student at Caltech from 2011 to 2016. My Ph.D advisor was Sergei Gukov. Email: pei_at_caltech.edu Research interests: I am interested in various topics in string theory, quantum field theory and mathematical physics, including:
Papers:"ArgyresDouglas Theories, Chiral Algebras and Wild Hitchin Characters," arXiv: 1701.08782 (w/ Laura Fredrickson, Wenbin Yan and Ke Ye). "BPS spectra and 3manifold invariants," arXiv: 1701.06567 (w/ Sergei Gukov, Pavel Putrov and Cumrun Vafa). "The Verlinde Formula for Higgs Bundles," arXiv: 1608:01761 (w/ J.E. Andersen and Sergei Gukov). "Equivariant Verlinde algebra from superconformal index and ArgyresSeiberg duality," arXiv: 1605.06528 (w/ Sergei Gukov, Wenbin Yan and Ke Ye). "Equivariant Verlinde formula from fivebranes and vortices", Comm. Math. Phys., arXiv:1501.01310 (w/ Sergei Gukov). Ph.D Thesis: "3d3d Correspondence for Seifert Manifolds", CaltechTHESIS:05282016191214961. Invited Talks: 01/2017, Wild Hitchin Characters, Geometry seminar, IST Austria. 01/2017, Wild Hitchin Characters, QUANTMOD — Quantization and Moduli Spaces, University of Luxembourg. 09/2016, The Verlinde formula for Higgs bundles, Hitchin70: Differential Geometry and Quantization, QGM, Aarhus. Video 02/2016, Verlinde formula for Higgs bundles, Workshop on "Higgs Bundles in Geometry and Physics," IWH Heidelberg. 10/2015, Minicourse on "New TQFT's and Equivariant Integration over Moduli Space of Higgs Bundles," NS@50, Chennai Mathematical Institute. 02/2015, The Equivariant Verlinde formula, Noncommutative Geometry Seminar, Caltech. 11/2014, Equivariant Integration Over Hitchin Moduli Space, Workshop on "Gauged SigmaModels in Two Dimensions," Simons Center of Geometry and Physics. Video 05/2014, TQFT and the Geometry of Moduli Spaces, GEAR Junior Retreat, University of Michigan.
