About

The CICMA brings together researchers working in number theory, group theory, and algebraic geometry. Algebraic geometry is a broad discipline closely connected to diverse fields ranging from arithmetic to theoretical physics. Eyal Goren and Adrian Iovita are leaders in applying algebraic geometry techniques to problems originating in number theory, particularly Shimura varieties and p-adic cohomology theories. John McKay is a pioneer in moonshine theory, which connects concepts from modular forms theory, arithmetic geometry, and theoretical physics. Number theory has developed over recent decades along two main streams: first, algebraic number theory, which investigates general themes such as the study of special values of L-functions attached to arithmetic objects, stemming from the works of Gauss and Dirichlet and leading to modern conjectures by Deligne, Beilinson, and Bloch-Kato. Another theme in algebraic number theory, arising from the Langlands program, posits a close connection between L-functions from arithmetic and automorphic representations. On the other hand, analytic number theory explores profound and subtle questions regarding the distribution of prime numbers, using techniques from mathematical analysis, including complex variable theory and spectral theory. The various aspects of number theory are particularly well represented at CICMA, which includes researchers Darmon, Goren, Iovita, and Kassaei (specialists in arithmetic and automorphic forms), and researchers David, Granville, Kisilevsky, Koukoulopoulos, and Lalín (specialists in analytic number theory).