Research Focus
I study algebro-geometric problems motivated by Gromov-Witten theory, especially questions about moduli of (oribifold) curves and stable (quasi)maps. A major theme of my research is to understand physical linear sigma models; that is, to understand how invariants of X can be read from a GIT presentation of X, invoking representation theory and stability theory. Part of this program is developing new moduli of curves that can more deeply probe the geometry of X.
Publications
- The moduli of sections has a canonical obstruction theory. Forum of Math, Sigma. 10(2022), E78.
- Virtual cycles of stable (quasi)-maps with fields. With Qile Chen and Felix Janda. Advances in Mathematics. 385(2021), Art. No. 107781.
- The abelian/nonabelian correspondence for I-functions. International Mathematics Research Notices. 3(2023), 2592–2648.
