# Research

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

I work on these specific problems:

Compactification of moduli spaces and geometric invariant theory;

Computational algebraic geometry;

Classification of Fano varieties.

# Publications

Preprints

"One dimensional components in the K-moduli of Fano 3-folds”, (with Hamid Abban, Ivan Cheltsov, Elena Denisova, Erroxe Etxabarri-Alberdi, Anne-Sophie Kaloghiros, Dongchen Jiao, Jesus Martinez-Garcia) arXiv: 2309.12518.

"On divisorial stability of finite covers”, (with Ruadhaí Dervan) arXiv: 2306.07151.

"K-moduli of log Fano complete intersection pairs”, arXiv: 2212.09332.

"GIT of complete intersections and log canonical thresholds, arXiv: 2212.09332.

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

"On divisorial stability of finite covers", University of Nottingham Algebraic Geometry Seminar, University of Nottingham, (September 21 2023).

"K-moduli of log Fano complete intersections”, Aarhus-Gothenburg Complex Geometry Seminar, Aarhus University, (May 8 2023).

"K-moduli of log Fano complete intersections”, Algebra and Number theory seminar, University of Glasgow, (February 22 2023).

"Wall crossing in the K-moduli of log Fano complete intersections”, MPS conference in Higher Dimensional Geometry, Stony Brook, (August 22-26 2022). Poster Session.

"K-moduli of log Fano complete intersections”, Cambridge Complex Geometry Afternoon, University of Cambridge, (August 11 2022).

"K-moduli of log Fano complete intersections”, British Early Career Mathematician's Colloquium, University of Birmingham, (July 21-22 2022).

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

"K-moduli of log Fano complete intersections”, Zoom Algebraic Geometry Seminar (ZAG), (April 26th 2022).

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

"K-moduli of log Fano complete intersections”, 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. Ruadhai Dervan at the University of Glasgow (03 October 2023- 02 January 2024)

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)