Career 2022.10 - present, PostDoc at ShanghaiTech University 2021.12-2022.06 - Lecturer, University of Kansas 2021.10-2021.12 - Adjunct Research Assistant at University of Kansas Education 2014.08-2021.05 - PhD in Mathematics, University of Kansas 2012.08-2014.05 - M.Math, Indian Statistical Institute, Kolkata 2009.08-2012.05 - B.Sc in Mathematics, Jadavpur University, Kolkata Research Interest My main area of work lies in Algebraic Geometry and Mathematical Physics. The topic of my PhD is Topics on Coherent Sheaves on Deligne-Mumford Stacks. I study coherent sheaves/ vector bundles on Deligne-Mumford Stacks, their moduli spaces and invariants related to them with relations to Mathematical Physics. I study Vafa-Witten invariants related to Higgs bundles on Deligne-Mumford stacks. My current work also involves studying moduli stacks of Galois covers on projective spaces and their Equivariant Chow Rings. Selected Publications 1）The Tanaka-Thomas's Vafa-Witten invariants via surface Deligne-Mumford stacks Y Jiang, P Kundu Pure and Applied Mathematics Quarterly， Pages：503-573 DOI: https://dx.doi.org/10.4310/PAMQ.2021.v17.n1.a13 2）Tautological families of cyclic covers of projective spaces P Kundu, J Mukherjee, D Raychaudhury arXiv preprint arXiv:2111.06043 3）On the Bogomolov-Gieseker inequality for tame Deligne-Mumford surfaces Y Jiang, P Kundu, HM Sun arXiv preprint arXiv:2104.10614 |
Email: pkundu@shanghaitech.edu.cn Office: S322, School of Creativity & Arts |
