Ivan B. Penkov

Ivan B. Penkov is an Adjunct Professor of Mathematics at Constructor University Bremen, Germany, with a distinguished career in Lie theory, representation theory, and algebraic geometry. He earned his Master's degree from Moscow State University (1982) and Ph.D. from Steklov Mathematical Institute (1987). His academic journey includes tenured professorships at the University of California at Riverside (1991-2004) and a long-standing professorship at Jacobs University Bremen (2004-2023), followed by his current adjunct role.

• Education:
  • Master in Mathematics, Moscow State University (1982)
  • Candidate of Physical and Mathematical Sciences (PhD), Steklov Mathematical Institute (1987)

Penkov's research focuses on representations of finite and infinite-dimensional Lie algebras and superalgebras, generalized Harish-Chandra modules, geometry of supermanifolds, and homogeneous ind-spaces. His work bridges pure mathematics with mathematical physics, emphasizing infinite-dimensional structures and their applications.

Recent publications highlight advancements in bounded weight modules for Lie superalgebras at infinity, topological tensor representations, and automorphism groups of ind-varieties of generalized flags. These works reflect his deep engagement with categorification, geometric methods, and infinite-dimensional algebraic structures.

Scientific awards and grants include multiple NSF and DFG grants, a Volkswagen Foundation grant, and the Batsheva de Rothschild Fellowship (2023). He has coorganized significant conferences and programs, such as the California Lie Theory Program and the German-Israeli workshop on symplectic geometry and representation theory.

Penkov's advisees include PhD and MSc students like Aleksandr Fadeev, Elitza Hristova, Siarhei Markouski, and Todor Milev, many of whom have contributed to Lie theory and algebraic geometry. He has also mentored postdocs and collaborated with institutions worldwide, including Yale University, UC Berkeley, and the Max Planck Institute of Mathematics in Bonn.