Frédéric RochonI am now at UQAM |
Ph.D. - Mathematics (2005)
Massachusetts Institute of Technology
Advisor: Richard Melrose
Thesis: Bott periodicity for fibred cusp operators
Fall 2009:
MAT1063: Introduction to microlocal analysis
Winter 2009:
MAT1061: Partial Differential Equations II
MAT1342/MAT464: Differential Geometry
Winter 2007:
Fall 2007:
Lecture 3 of MAT186 Calculus I
Ricci flow and the determinant of the
Laplacian on non-compact surfaces (with Pierre Albin and Clara Aldana)
preprint.
Eta forms and the odd pseudodifferential families index (with Richard Melrose)
preprint.
Some index formulae on the moduli space of stable parabolic vector bundles (with Pierre Albin)
preprint.
A local families index formula for d-bar operators on punctured Riemann surfaces (with Pierre Albin)
Comm. Math. Phys. 289 (2009), no.2, 483-527.
Families index for manifolds with hyperbolic cusp singularities (with Pierre Albin)
Int. Math. Res. Not. IMRN 2009, no. 4, 625--697.
On the uniqueness of certain families of holomorphic disks
to appear in Trans. Amer. Math. Soc.
Sur la topologie
des opérateurs pseudodifférentiels inversibles d'ordre 0
Annales de l'institut Fourier, 58 no. 1 (2008), p. 29-62
Boundaries, eta invariant
and the determinant bundle (with Richard Melrose)
C*-algebras and elliptic theory II 2006, Trends in Math, Birkhauser,149-181.
Periodicity and the
determinant bundle (with Richard Melrose)
Comm. Math. Phys. 274 (2007), no.1, 141-186.
Index in K-theory for
Families of Fibred Cusp Operators (with Richard Melrose)
K-theory 37 (2006), 25-104.
Bott Periodicity for
Fibred Cusp Operators
J. Geom. Anal. 15 (2005), no. 4, 685--722.
Families Index for Pseudodifferential Operators on Manifolds with Boundary
(with Richard Melrose)
Int. Math. Res. Not. 2004, no. 22, 1115--1141.
Rigidity of Hamiltonian Actions
Canad. Math. Bull. 46 (2003), no. 2, 277--290.