Research

• Quot scheme of points on torus knot singularities.

With Yifeng Huang and Alexei Oblomkov. arXiv

• Picard rank jumps for families of K3 surfaces in positive characteristic.

With Ananth Shankar and Ziquan Yang.  arXiv.

• Matrix points on varieties.

With Asvin G, Yifeng Huang, Yifan Wei.  arXiv.

• p-adic monodromy and mod p unlikely intersections, II.  

arXiv.

• p-adic monodromy and mod p unlikely intersections, I.  

Submitted. arXiv.

• Flag Quot and Coh zeta functions.

With Yifeng Huang .Submitted. available upon request.

• Motivic Coh and Quot zeta functions on singular curves.

With Yifeng Huang. Submitted. arXiv. 

• Splitting of almost ordinary abelian surfaces in families and the S-integrality conjecture. 

       Crelles Journal. arXiv. 

• Lattices in Fp[[T]]^d and sprial shifting operators. 

With Yifeng Huang.  Advances in applied mathematics. arXiv. 

• Punctual Quot schemes and Cohen--Lenstra series of the cusp singularity. 

With Yifeng Huang. arXiv.