I am working on toric varieties, particularly on Eisenbud-Goto-type problems and spending most of my time now on finding bounds for the $k$-normality and Castelnouvo-Mumford regularity of projective toric varieties. I am also interested in the syzygies of toric varieties, specifically $N_p$-property of (adjoint) line bundles on toric varieties. I also think about the Oda's conjecture saying that every smooth lattice polytope is normal during free time, but that is a long shot. My supervisor is Dr. Milena Hering. For more details, please take a look at my Research Statement.
September 2014 - Present
I have been working as a tutor for some undergraduate courses at the University of Edinburgh. Some of the courses are Introduction to Linear Algebra, Calculus and Application, Proof and Problem Solving, Honour Algebra, Introduction to Number Theory
Interactions with Lattice Polytopes, Magdeburgh 2017
Bachelor of Science, Mathematics
Master of Advanced Studies (Part III of the Tripod)
Doctorate Candidate in Mathematics