Department of Mathematics and the College
Nikita Rozenblyum’s research involves algebraic geometry and topology, particularly algebro-geometric and homotopical structures arising from quantum field theory and representation theory. In joint work with Dennis Gaitsgory, he developed a general version of Grothendieck-Serre duality and deformation theory in the context of derived algebraic geometry. In addition, a major theme in his work is the relationship between global invariants of algebraic varieties (or smooth manifolds) and local data. For example, in his doctoral thesis he gives a local description of D-modules on the moduli space of G-bundles on an algebraic curve (a central object in the Geometric Langlands program), using his work on derived algebraic geometry with Gaitsgory and the theory of chiral algebras introduced by Alexander Beilinson and Vladimir Drinfeld, both of whom are currently professors of mathematics at the University of Chicago.
Rozenblyum received a National Science Foundation Graduate Research Fellowship, for study in the mathematical sciences, and a Simons Postdoctoral Fellowship from Northwestern University.
Rozenblyum earned a BA in mathematics, summa cum laude, from Harvard University, followed by a PhD in mathematics from the Massachusetts Institute of Technology.
Rozenblyum joined the University of Chicago faculty in 2014.