My research interests lie in algebraic geometry: more specifically, I study birational geometry, and questions concerned with the resolution, behaviour, and structure of singularities in algebraic geometry.
On 1/2 of the monodromy conjecture for non-degenerate hypersurfaces. In preparation.
Around the motivic monodromy conjecture for non-degenerate hypersurfaces. manuscripta mathematica, to appear. (talk, slides)
Weighted blow-ups, with David Rydh. In preparation. Draft available here.
Logarithmic resolution via multi-weighted blow-ups, with Dan Abramovich. Submitted. (talk)
Logarithmic resolution via weighted toroidal blow-ups. Algebraic Geometry 9(3), 2022, 311-363.
research in pictures
A stack-theoretic embedded desingularization of the non-degenerate polynomial f = x^2 + xy^4 + y^3z + z^3 that witnesses the monodromy conjecture for f.
Read more: `Around the motivic monodromy conjecture for non-degenerate hypersurfaces', Example 3.2.2
expository writing