Research

I am an algebraic geometer with interests in birational geometry, K-stability and moduli spaces.

I work on these specific problems:

  • Compactification of moduli spaces and geometric invariant theory;

  • Computational algebraic geometry;

  • Classification of Fano varieties.

Publications

"K-moduli of log Fano complete intersection pairs”, in preparation for publication.

Talks/ Posters

  • "K-moduli of log Fano complete intersection pairs”, Géométrie Algébrique en Liberté (GAeL) XXIX, Universite Paris-Sacaly, (May 23-27 2022).

  • "K-moduli of log Fano complete intersection pairs”, ZAG (April 26th 2022).

  • "K-moduli of log Fano complete intersection pairs”, MPS Conference on Higher Dimensional Geometry 2022, Simons Foundation, New York, (February 23-25 2022). Poster Session.

  • "GIT and K-stability for Fano varieties", Mathematics Essex Seminar Series (MESS) (December 16th 2021).

  • "K-moduli of log Fano complete intersection pairs”, Edge Days Workshop "Explicit K-stability and moduli problems", University of Edinburgh (30 November- 3 December 2021).

  • "K-moduli of log Fano complete intersection pairs”, UC Riverside Algebraic Geometry Seminar (November 23th 2021).

  • "Explicit description of the moduli compactification of Fano threefold 2-25", London Mathematical Society Graduate Student Meeting Winter 2021 (November 8th 2021).

  • "K-moduli of log Fano complete intersection pairs”, Loughborough Geometry and Mathematical Physics Seminar (October 27th 2021).

  • "K-moduli of log Fano complete intersection pairs”, Cambridge Algebraic Geometry Seminar (October 20th 2021).

  • "Computational VGIT for Complete Intersections and a Hyperplane", Algebraic Geometry from an Algorithmic point of view, 26th Conference on Applications of Computer Algebra, (July 23-27 2021).

  • "K-moduli of log Fano complete intersection pairs”, Géométrie Algébrique en Liberté (GAeL) XXVIII (July 5-9 2021), Poster Session.

  • "Variational GIT for Complete Intersections and a Hyperplane Section via Sage, Sage/Oscar Days for Combinatorial Algebraic Geometry (15-19 February 2021), Lightning Talk.

  • "Computational GIT for Complete Intersections", COW/EmSG/GLEN Joint Summer School (September 7-11 2020), Poster Session.

Research Visits

  • Visit to Dr. Hamid Abban at the University of Loughborough (26-29 October 2021)

  • Visit to Dr. Ruadhai Dervan at the University of Cambridge (18-22 October 2021)