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) Oriented cohomology theory of some moduli spaces via blow ups, joint with Michael Zeng
GIT semistability for binary forms of varying degrees (joint with Michael Zeng)