Number theory is as old as human thought, if not older. We now know that the ancient civilisations were preoccupied with many fundamental questions of number theory. Rightly so. Civilisation as we know it today would not be if it were not for the concept of zero, for example. Indeed many of the unsolved problems of number theory have the fertile quality of generating new fundamental concepts of mathematics.

Over the centuries, this discipline has grown into what may be termed as a mighty banyan tree generating extensive branches and symbiotic relationships to algebraic geometry, representation theory, group theory, harmonic analysis, theoretical physics and computer algorithms to name only a few.

The group at CICMA, consisting of Henri Darmon, Chantal David, David Dummit, Eyal Goren, Andrew Granville, Adrian Iovita, Hershy Kisilevsky, Claude Levesque, Ram Murty, Ravi Ramakrishna, Damien Roy and Francisco Thaine has been focusing on algebraic and analytic number theory with special emphasis on elliptic curves, L-functions and automorphic forms. Visitors, Post-doctoral fellows, and Graduate students can take advantage of the members' expertise and conduct research under their collaboration or supervision.

CICMA also organizes the celebrated Quebec Vermont Number Theory Seminar with the participation of Concordia, McGill, Université Laval and the University of Vermont. This seminar has enjoyed the active participation of some of the leading figures who come to Montréal on a regular basis and give short courses suitable for graduate students. As such, course notes and research papers (in preprint form) are produced and circulated on a regular basis by the participants.

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