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

Preprints

"K-moduli of log Fano complete intersection pairs”, arxiv preprint, December 2022.

"GIT of complete intersections and log canonical thresholds, arxiv preprint, December 2022.

Software

"Variations of GIT quotients for complete intersections" . Package. Python/ SageMath. 10.5526/ERDR-00000155, 2022

"Segre Symbols Calculator package" . Package. Python/ SageMath. 10.5526/ERDR-00000157, 2022

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)