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/
Colliot-Thelene J-L, Pal A, Skorobogatov AN, 2016, Pathologies of the Brauer-Manin obstruction, Mathematische Zeitschrift, Vol:282, ISSN:0025-5874, Pages:799-817
Harpaz Y, Skorobogatov AN, 2016, Hasse principle for Kummer varieties, Algebra & Number Theory, Vol:10, ISSN:1937-0652, Pages:813-841
Ieronymou E, Skorobogatov AN, 2015, Odd order Brauer-Manin obstruction on diagonal quartic surfaces, Advances in Mathematics, Vol:270, ISSN:0001-8708, Pages:181-205
Skorobogatov AN, Zarhin YG, 2015, A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic, International Mathematics Research Notices, ISSN:1073-7928, Pages:11404-11418
Browning TD, Matthiesen L, Skorobogatov AN, 2014, Rational points on pencils of conics and quadrics with many degenerate fibres, Annals of Mathematics, Vol:180, ISSN:0003-486X, Pages:381-402