| Address: |
Department of Mathematics and Statistics University of Victoria Victoria, BC CANADA V8W 3R4 |
E-mail address: antoinej at uvic.ca
Welcome on my webpage. Im am currently a PIMS post-doctoral fellow at the University of Victoria (department of mathematics and statistics). I am being supervised by Ian Putnam.
Until 2010, I had a position in University of Lyon, France (more precisely, Université Lyon 1; Institut Camille Jordan). I graduated from this university, under the supevision of Johannes Kellendonk. I defended my PhD thesis December 10, 2009. The dissertation was about non-periodic tilings of the Euclidean space.
My research was first on complexity of cut-and-project tilings. Complexity is a notion that is especially used in word theory. Yet, the asymptotic behaviour of the complexity function of a tiling seems to be related to the topology of the dynamical system associated to this tiling.
Another aspect of my research is linked with non-commutative geometry of tiling spaces. In an article of Pearson and Bellissard, is described a construction of a spectral triple on ultrametric Cantor sets. When the Cantor set is self-similar (this is the case up to Lipschitz-equivalence for tiling space transversals), it is possible to actually carry out computations.
For more details, here is a list of publications.
Fall 2010:
Since 2010: Lectures of Math 100 (Calculus I), Math 101 (Calculus II), Math 200 (Multi-Variable Calculus), Math 211 (Linear Algebra).
Between 2007 and 2010: various tutorials in Université Lyon 1 (being in charge of tutorials includes selection of exercises, and making of tutorial sheet). Namely: first year analysis; bilinear algebra; 3rd year differential calculus.
My post-doc supervisor, Ian Putnam.
My thesis advisor, Johannes Kellendonk.
My co-authors:
A website with lots and lots of tiling pictures: Tilings Encyclopedia.
Webpage on math in general (for all public):