I'm a reclusive toad living in the swamp of algebraic geometry.  Occasionally when it rains, I take a stroll on the lane to combinatorics, and get lost in the symmetrical highland of representation theory.  I also hold on to my umbrella and drift to where the wind blows us  -- the eroded cliff of category theory, or the drifting dunes of topology. My favorite season is the spring.

I work with the Hilbert scheme of points on non-reduced plane curves. For example, take the x-axis with multiplicity 3, y^3=0, and consider the Hilbert scheme of n points on it, denoted by Hilb^n({y^3=0}).  This is defined to be the moduli space of ideals of C[x,y]/(y^3) that have colength n.  

Right now, I'm interested in studying the homologies of the Hilbert schemes of points on non-reduced curves and their relation with the Nakajima operators. I also work on the nested punctual Hilbert scheme of points on the affine plane.

I am currently a postdoc at the Mathematical Institute of the Polish Academy of Sciences (IMPAN) in Warsaw, Poland. Click to see my CV (updated May 2024).

I tried and failed to take a photo with the physics department cat Cheeto of UC Davis for this website.