I am currently a 3rd-year graduate student at University of Michigan - Ann Arbor, whose advisor is Alex Perry. I obtained my undergrad degree in Mathematics at University of Wisconsin - Madison, under supervision of Prof. Andrei Caldararu and Dima Arinkin.
I am interested in algebraic geometry and its intersection with physics and representation theory. In particular, my experience is mainly related to derived category of varieties, enumerative geometry and related moduli spaces. Recently, I am applying Bridgeland stability conditions to study derived category of Fano varieties. On the other hand, I am learning techniques of developing correspondences between GW/DT/PT/GV invariants.
My Chinese name: 马崧涛
My email: skenma at umich dot edu
Irreducibility of Bridgeland Moduli Spaces on Enriques Category (In-preparation)
The Stability Manifolds of Kuznetsov components of Prime Fano Threefolds (joint with Changping Fan and Zhiyu Liu)
arXiv: 2310.16950, Submitted for publication.
A Birational Equivalence of Moduli Spaces on Gushel-Mukai Threefolds (most parts are finished as undergrad research, Advisor: Andrei Caldararu)
#3 Will not be published. Preprint here. Chapter 4 about irreducibility of moduli spaces on GM 3-folds with primitive character is updated 8/2/2025, and will be a part of #1.