For suggestions, questions etc. please contact Dmitry Jakobson (jakobson@math.mcgill.ca), Iosif Polterovich (iossif@dms.umontreal.ca) or Alina Stancu (alina.stancu@concordia.ca)

Title TBA

Compactness and blow-up phenomena for sign-changing solutions of scalar curvature-type equations

ABP estimate on Riemannian manifolds and spacetime Minkowski formulae

Controllability and mixing for nonlinear differential equations

Geometric analysis on singular and non-compact spaces

Geometry and topology of the nodal sets of Schrodinger eigenfunctions

Effective dynamics of weakly interacting fermionic systems

Energy conservation, counting statistics and return to equilibrium

Nodal lines and domains for Eisenstein series on surfaces

Degenerate elliptic equations with rough coefficients: recent regularity results and H=W

Moments of Eisenstein series on convex co-compact hyperbolic manifolds

Towards a formal tie between combinatorial and classical vector field dynamics

Isoperimetric inequalities and $Q$-curvature in conformal geometry and CR geometry

Upper bounds for the first Laplace eigenvalue on non-orientable surfaces and real algebraic geometry

Moduli spaces of meromorphic functions and determinant of Laplacian

Generated Jacobian equations and regularity: optimal transport, geometric optics, and beyond

On the Bourgain-Milman inequality: a proof that uses only tools from Convex Geometry

Some algebraic related structures on families of convex sets

Huygens' principle and Hadamard's problem of diffusion of waves

On shearlets of L^2(Q_p^2)

Abstract:

On the wave propagation in generalized polygons

Propagation des ondes dans les polygones généralisés

An integrable billiard close to an ellipse of small eccentricity is an ellipse

Constant heat flow, Serrin problem and the isoparametric property

Almost-orthogonality: almost as good as orthogonality

Steklov spectral inequalities through quasiconformal mapping

Construction of quasi-periodic response solutions for forced systems with strong damping

Classical and quantum integrable systems

Almost-orthogonality without discreteness or smoothness

Geometric maximal function in harmonic analysis

Perturbations of the Schrodinger equation on negatively curved surfaces

Embedding theorems for the Dirichlet space

Covering numbers of convex sets and their functional extension

Phase transitions and equilibrium measures in random matrix models

Noncommutative geometry and Vafa-Witten inequality

On the geometric classification of functions

Functional covering numbers

Dynamical compact bodies in General Relativity

Pointwise Weyl Law and Universal scaling asymptotics

Nodal sets and growth exponents of Laplace eigenfunctions on surfaces

Seminar website

L^2-restriction lower bounds for Schrodinger eigenfunctions in classically forbidden regions.

Seminar website

Sharp Resonances on hyperbolic manifolds

Seminar website

A crash course on thermodynamics and entropy

Long time effects of small perturbations

More details here.

Spectral and scattering theory for abstract QFT Hamiltonians (joint work with Christian Gerard)

Abstract.

Title TBA

Spectral geometry of the Steklov problem

Bi-partitions of the 2-d torus, 1-dimensional tilings, hyperbolic automorphisms and their Markov partitions

Regularity theorems for maximal metrics

Introduction to hydrodynamic turbulence and non-equilibrium statistical mechanics

The Lee-Yang Circle Theorem and some applications

Minkowski estimates on critical and nodal sets of solutions to elliptic PDEs

Non-equilibrium Statistical Mechanics of Turbulence

2005/2006 Analysis Seminar

2004/2005 Seminar in Nonlinear Analysis and Dynamical Systems

2003/2004 Working Seminar in Mathematical Physics