Positions
- Rutgers University, Piscataway,
USA (Postdoctoral Associate) Jan. 2008 - May 2008; Jan.
2009 - Aug. 2009
Education
Publications
and Preprints
9) Rigorous Computation of Smooth Branches of Equilibria for the Three
Dimensional Cahn-Hilliard Equation.
In
preparation, 2009. With Marcio Gameiro.
8)
A Priori Estimates and Validated
Continuation for Equilibria of High Dimensional PDEs.
Submitted, 2009. With Marcio
Gameiro.
7)
Recent Advances about the Uniqueness of
the Slowly Oscillating Periodic Solutions
of Wright's Equation.
To appear
in Journal of Differential Equations,
2009.
6)
Global Smooth Solution Curves
using Rigorous Branch Following.
To appear in
Mathematics of Computation,
2009. With Jan Bouwe
van den Berg and
Konstantin Mischaikow.
5)
Chaotic Braided Solutions via
Rigorous Numerics: Chaos in
the
Swift-Hohenberg Equations.
SIAM Journal on
Applied Dynamical Systems, 7(3): 988-1031, 2008. With Jan
Bouwe van den Berg.
4)
Validated
Continuation Over Large Parameter Ranges for
Equilibria of
PDEs.
Mathematics and Computers in
Simulation, 79(4): 1368-1382, 2008.
With Marcio Gameiro & Konstantin
Mischaikow.
3)
Validated
Continuation for
Equilibria of PDEs.
SIAM Journal
on Numerical Analysis, 45(4): 1398-1424 , 2007. With Sarah Day
& Konstantin
Mischaikow.
2)
Validated
Continuation for
Infinite Dimensional Problems. Ph.D. dissertation.
Georgia Institute of
Technology, 2007.
1)
Bifurcations
et chaos dans le système de Lorenz.
Master Thesis. Uinversité de
Montréal, 2002.
Mathematical
Interests
- Dynamical Systems (PDEs,
ODEs & Delay Equations)
- Rigorous Numerical Techniques
- Algebraic Topology &
Topological Methods (Conley
Index Theory, Morse Theory & Floer Homology)
- Biomathematics