Professor Alexei Skorobogatov is interested in arithmetic geometry, that is, in geometric approaches to number theory. The fundamental problem is to understand how the structure of solutions of Diophantine equations in number fields reflects the topological structure of the underlying algebraic variety. Alexei is also interested in analytical number theory, algebraic geometry, algebraic groups and the geometric invariant theory.
Alexei Skorobogatov's personal webpage can be found at http://www.ma.ic.ac.uk/~anskor/
Skorobogatov AN, Sofos E, 2023, Schinzel Hypothesis on average and rational points, Inventiones Mathematicae, Vol:231, ISSN:0020-9910, Pages:673-739
Skorobogatov AN, Valloni D, 2022, ENRIQUES INVOLUTIONS AND BRAUER CLASSES, Nagoya Mathematical Journal, ISSN:0027-7630
et al., 2022, Invariant Brauer group of an abelian variety, Israel Journal of Mathematics, Vol:249, ISSN:0021-2172, Pages:695-733
Gvirtz D, Skorobogatov A, 2022, Cohomology and the Brauer groups of diagonal surfaces, Duke Mathematical Journal, Vol:171, ISSN:0012-7094, Pages:1299-1347