I am currently interested in different moduli spaces of curves and their various invariants such as derived categories and K_0 ring.
I am also interested in the new emergent ideas of using AI in mathematics and in particular using neural networks to get predictions/ results related to commutative algebra and geometric invariant theory.
(in preparation) A blowup formula for oriented cohomology theory with an application to the moduli of genus 0 curves, joint with Michael Zeng
GIT semistability for binary forms of varying degrees (joint with Michael Zeng)