Algebraic varieties and their automorphism groups lie at the heart of modern algebraic geometry, intertwining deep theoretical concepts with practical applications. Algebraic varieties ...

These are so-called algebraic varieties, which are the zero-sets of polynomials, and certain geometric objects called manifolds." Manifolds are smooth topological spaces that can be considered in ...

Algebraic geometry, a venerable branch of mathematics, focuses on the study of algebraic varieties—geometric manifestations of polynomial equations—while cohomology provides a suite of ...

Additionally, significant progress has been made in quantifying the distribution of algebraic points on Noetherian varieties, highlighting effective bounds and bridging classical Diophantine ...

In particular, the extension of the Minimal Model Program to threefolds, even in mixed characteristic scenarios, has opened avenues for exploring algebraic varieties under conditions where the ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...