I am currently working in K-stability of Fano varieties on one side and Bent functions on the other. 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 and Theodoros Papazachariou studying the K-moduli of family 3.3 of the Mori Mukai classification. I also study K-stability in positive characteristic.  And I am part of a project on Bent functions with Nurdagül Anbar, Athina Avrantini, Tekgül Klayci and Beatrice Toesca which started in the WINE 2025 workshop.

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

• One-dimensional components in the K-moduli of  smooth Fano 3-folds , joint with Hamid Abban, Ivan Cheltsov, Elena Denisova, Dongchen Jiao, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia and Theodoros Papazachariou,  Journal of Algebraic Geometry (JAG), link to the journal. (arxiv:2309.12518).

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