Broadly, my research interests lie in algebraic geometry. Currently, I am focused on the study of singularities in birational geometry, e.g. I am interested in questions concerned with the behaviour of singularities and their invariants under birational transformations.
Towards a geometric version of the monodromy conjecture. In preparation.
On 1/2 of the monodromy conjecture for non-degenerate hypersurfaces. In preparation.
Invariants of singularities in arbitrary characteristic, with Dan Abramovich and Bernd Schober. In preparation.
Resolving plane curves using weighted blow-ups: imperfect field method, with Dan Abramovich and Bernd Schober. In preparation.
Logarithmic resolution of singularities in characteristic 0 using weighted blow-ups, with Dan Abramovich, André Belotto, Michael Temkin, Jarosław Włodarczyk. Submitted, March 2025.
Resolving plane curves using stack-theoretic blow-ups, with Dan Abramovich and Bernd Schober. Submitted, December 2024.
The K-moduli space of a family of conic bundle threefolds, with Kristin DeVleming, Lena Ji and Patrick Kennedy-Hunt. Submitted, March 2024.
Around the motivic monodromy conjecture for non-degenerate hypersurfaces. manuscripta mathematica 173, 2024, 1015-1059. (talk)
Weighted blow-ups, with David Rydh. In preparation. Draft available here.
Logarithmic resolution via multi-weighted blow-ups, with Dan Abramovich. Épijournal de Géométrie Algébrique 8, 2024. (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