Faculty members of cicma

Montreal

McGill

He is interested in Galois representations and automorphic forms, especially applications of deformation theory and the Taylor-Wiles method to questions in and around the Langlands program.

Henri Darmon

McGill

His research focuses on the arithmetic of elliptic curves, modular forms, and their associated L-functions, with a special emphasis on questions revolving around the Birch and Swinnerton-Dyer and the explicit construction of class fields by analytic means.

Chantal David

Concordia

She works in analytic number theory and arithmetic statistics, with an emphasis on special values and moments of families of L-functions, over number fields and function fields.

Eyal Goren

McGill

Complex multiplication, class invariants and class field theory. Geometry of Shimura varieties, in particular their arithmetic intersection theory, their geometry in characteristic p, and mod p and p-adic modular forms. Dynamical systems on Shimura varieties. Mathematical cryptography, in particular protocols using arithmetic geometry.

Andrew Granville

U Montreal

He researches in analytic number theory (the distribution of primes and other special numbers), additive combinatorics (including applications of "higher Fourier analysis"), elementary number theory and relatively elementary theory of Diophantine equations (including classes of equations, and the abc-conjecture).

Adrian Iovita

Concordia

He is mainly interested in describing the p-adic cohomology of algebraic varieties over a p-adic base and comparisons between various versions of such, i.e. comparisons between p-adic etale cohomology and de Rham, respectively crystalline cohomology. This study goes under the name of p-Adic Hodge Theory. He also studied global questions related p-adic automorphic forms of various types and the Galois representations, the L-functions and p-adic L-functions attached to them.

Hershy Kisilevsky

Concordia

Algebraic Number theory, class field theory, Dirichlet L-functions and class numbers, elliptic curves and their L-functions, special values and arithmetic statistics.

Dimitris Koukoulopoulos

U Montreal

He works in analytic number theory, with a focus on multiplicative and probabilistic aspects of number theory, the distribution of prime numbers, the anatomy of integers and permutations, sieve methods, diophantine approximation and additive combinatorics.

Matilde Lalín

U Montreal

Several research interests revolving around L-functions. Relations between their special values and Mahler measures; polylogarithms and regulators; applications to volumes in Low-Dimensional Topology. Distribution questions around L-functions, Arithmetic Statistics of function fields, moments of L-functions and their non-vanishing.

Carlo Pagano

Concordia

His current interests revolve around statistics of class groups (with applications to diophantine equations and L-functions), asymptotic count of number fields, Galois theory of iterated polynomials, diophantine equations and universal optimality of packings.

Giovanni Rosso

Concordia

His main interests are families of modular forms and their L-functions, with special focus on the exceptional zero conjectures and the study of L-invariants. His other interests include: arithmetic of functions fields and Drinfeld modular forms; varieties with (potentially) Zariski dense rational points and their characterisation in terms of p-adic geometry.