I am currently working in K-stability of Fano varieties. In my PhD project, I completed the classification of local stability thresholds for smooth del Pezzo surfaces of degree 2. In particular, I showed that this number is irrational if and only if the tangent plane at the point intersecting with the surface is the union of a line and a smooth cubic curve meeting transversally at the point. I also had a Collaborative project where we described the 1-dimensional components of the K-moduli of Fano 3-folds. 

Currently, I am working in collaboration with James Jones studying the K-moduli of family 3.3 of the Mori Mukai classification.

Once I finish my PhD I would like to work in K-stability in positive characteristic.

• On local stability threshold of del Pezzo surfaces, J London Math Soc, 20 pages, link to the journal.

• Compact 1-dimensional K-moduli of Fano 3-folds, joint with Hamid Abban, Ivan Cheltsov, Elena Denisova, Dongchen Jiao, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia and Theodoros Papazachariou. arxiv:2309.12518

• K-moduli of (1,1,2) divisors in P1xP1xP2, joint with James Jones.