Dr. Rami Grossberg

Biography

Rami Grossberg is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His primary area of interest is model theory, a significant branch of mathematical logic. His secondary interests involve combinatorial and set-theoretic problems with applications in algebra. Grossberg focuses on the development of model theory for non-first-order axiomatizable classes, particularly Abstract Elementary Classes (AECs). His work aims to develop a classification theory AECs that was established by Shelah over 35 years ago. Grossberg's objective is to discover structural properties that connect model AECs to more mature areas of pure mathematics, such as commutative algebra and algebraic geometry. His research has contributed to understanding the categoricity conjecture, a significant problem dating back to 1976. He has conducted extensive research on the “Main Gap Theorem” and its implications. Grossberg's work includes collaboration with students on various related topics, aiming for advancements in the theoretical aspects of model theory.

Research Interests