Alena Pirutka

Alena Pirutka is a Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. Her email contact is pirutka@cims.nyu.edu. She holds a Ph.D. in Mathematics from Université Paris-Sud XI (2011) and has contributed extensively to arithmetic and algebraic geometry through her research and collaborations.

• Education:
  • Ph.D., Mathematics, Université Paris-Sud XI, Orsay, France (2011)
  • Habilitation à Diriger des Recherches (HDR), École polytechnique, France

Her research focuses on arithmetic and algebraic geometry, particularly exploring connections between arithmetic, cohomological, and birational properties of algebraic varieties. Key areas include stable rationality of varieties, unramified cohomology, algebraic cycles, and the integral Tate conjecture over finite fields. Her work often involves collaborations with leading mathematicians such as Jean-Louis Colliot-Thélène and François Charles.

Her recent publications address stable rationality of real varieties, uniform bounds for Tate conjecture obstructions, and the equivariant Brauer group, reflecting a trend toward cohomological and birational invariants in algebraic geometry. These studies contribute to understanding the interplay between arithmetic properties and geometric structures in higher-dimensional varieties.