Yuri Tschinkel

Yuri Tschinkel is a Professor of Mathematics at New York University (Courant Institute of Mathematical Sciences). He works at the intersection of Algebraic Geometry and Number Theory, focusing on rational points and rational curves on algebraic varieties.

• Education: Ph.D. in Mathematics (MIT, 1992), M.A. in Mathematics (Moscow State University, Russia, 1990).

His research explores fundamental problems in arithmetic geometry, particularly studying rational curves on K3 surfaces, integral points on algebraic varieties, and connections between Galois theory and projective geometry. Current projects involve understanding the distribution of rational points and geometric structures in higher-dimensional varieties.

The selected publications highlight his contributions to rational curves on K3 surfaces (2013), integral points on vector group compactifications (2012), and Galois-theoretic approaches to projective geometry (2013). These works emphasize the interplay between arithmetic and geometric methods in algebraic geometry.

Professor Tschinkel's academic affiliation with NYU's Courant Institute of Mathematical Sciences positions him within a leading research center for pure and applied mathematics. His work continues to influence both theoretical developments and practical applications in number theory and algebraic geometry.