Part of Horizon Europe, the Marie Skłodowska-Curie Actions (MSCA) are programmes that aim at excellence in research. MSCA is the leading program of the European Union for funding the research work of doctoral and postdoctoral fellows.

The project ** Generalised Integrality and Applications to Number Theory** of Dr. Vladimir Mitankin will be carried out under the scientific supervision of Prof. Ludmil Katzarkov.

Dr. Mitankin investigates classical questions in Diophantine geometry on the existence and the density of points on algebraic varieties using methods from both algebraic geometry and analytic number theory. The focus in the MSCA grant is aimed at semi-integral points, a notion corresponding to rational points satisfying an integrality condition with respect to a weighted boundary divisor. Introduced by Campana and by Darmon, semi-integral points provide at the same time an intermediate notion and a generalization of the notions of rational and integral points. The research aims, on one hand, at further developing the relatively new theory of semi-integral points, on the other hand, at obtaining information about integral points on algebraic varieties inaccessible with classical methods and, lastly, at applying the theory of semi-integral points with the hope of solving some classical problems in number theory.

Vladimir Mitankin is a Sofia University graduate with a master’s degree in number theory under the supervision of Prof. Doychin Tolev and Assoc. Prof. Ivan Chipchakov. He received his PhD training at the University of Bristol in 2017 with Prof. Tim Browning as advisor. Then, he subsequently became a postdoctoral fellow at the Mathematics Institute of the Federal University of Rio de Janeiro, at the Max Planck Institute for Mathematics in Bonn, and the Leibniz University Hannover. Currently, Vladimir works at the Institute of Mathematics and Informatics under the Scientific Programme “Enhancing the Research Capacity in Mathematical Sciences” (PIKOM).