I am a fourth year Ph.D student in Algebraic Geometry, under the supervision of Prof. Ivan Cheltsov.
My research interests lie essentially in birational geometry, which includes rationality problems, minimal model program, and K-stability of Fano varieties. I am investigating these problems principally in a G-equivariant setting, and my current main focus is the finite subgroups of Cremona groups.
Organised by Ivan Cheltsov, Daniel Loughran and myself.
Classifying varieties up to birational equivalence is one of the driving forces for modern research in algebraic geometry. Some of the greatest results in 20th and 21st Century algebraic geometry lie in birational geometry, with both Mori and Birkar awarded the Fields medal for their work in this area. Birational geometry has seen some very healthy and surprising interactions with number theory over the last decade.
More information about the conference.
Fundamentals of algebras and linear representations of finite groups.
Link to the current version of the courseA course in abstract algebra. It is a systematic study of the basic structure of groups, finite and infinite.
Link to the courseAn introduction to differential geometry in the context of curves and surfaces in euclidean space.
Link to the courseA deepening of topics that students already have encountered, such as linear algebra and ring theory.
Computer labs using Python.
Link to the courseComputationally efficient numerical techniques for solving practical linear algebra problems.
Computer labs using Python.
Link to the courseA first course in complex analysis. Analytic functions, complex integration, series expansions and the residue calculus.
Computer labs using LaTeX.
Link to the courseFunctions, limits, differentiation and applications, integration and applications, Taylor series, and a first introduction to differential equations.
Link to the courseThe 'Axiomatic Method' will be developed along the resolution of problems dealing with sets and functions, number systems, and their fundamental properties.
Link to the courseA little bit of whatever makes me feel good.
