I studied Mathematics at the University
of Geneva,
where I obtained my Master in 1998. During the four years of my PhD
(1998-2002), I
was Research Assistant in Geneva. I also spent one semester at Brandeis University with Jerry Levine.
My PhD advisor was Claude Weber; the members of the jury were Michel
Kervaire, Francoise Michel and Walter Neumann. I
then spent one year at the IRMA
(Strasbourg) with
Vladimir
Turaev and at the IMB
(Dijon) with
Daniel Lines as a Swiss
NSF
Postdoctoral Fellow. After one more year in Geneva, I obtained another
Postdoctoral Fellowship of the Swiss NSF: I spent two years at the Math Department of the University
of California, Berkeley. My main
interlocutors there were Nicolai Reshetikhin
and Peter Teichner.
Since Fall 2007, I am Heinz Hopf Lecturer (something close to a
non-tenure-track Assistant Professor) at the ETH
Zurich.
For a longer CV, click here.
My research interests are in low-dimensional topology, mathematical
physics and discrete geometry.
Here is a list of some of my current active projects:
- Asymptotics of the dimer partition function on higher genus
surfaces
- On the different models of the Conway function for links in
homology spheres
- Multivariable signatures and colored tangles
For a more detailed research statement, click here.
Research papers
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Discrete
Dirac operators on Riemann surfaces and Kasteleyn matrices
preprint
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Dimers on
graphs in non-orientable surfaces
Lett.
Math. Phys. 87 (2009), 149-179.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Dimers on
surface graphs and spin
structures. II
(with Nicolai Reshetikhin)
Comm.
Math. Phys. 281 (2008),
445-468.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Dimers on
surface graphs and spin
structures. I
(with Nicolai Reshetikhin)
Comm. Math. Phys. 275 (2007), 187-208.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Slicing
Bing doubles
Algebr. Geom. Topol. 6 (2006), 2395-2415.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) A
generalization of several classical
invariants
of links
(with
Vladimir Turaev)
Osaka J. Math. 44 (2007), 1-31.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Generalized
Seifert surfaces and
signatures of
colored links
(with Vincent Florens)
Trans. Amer. Math. Soc.
360 (2008), 1223-1264.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) A
Lagrangian representation of tangles II.
(with Vladimir Turaev)
Fund. Math. 190 (2006), 11-27.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) A
Lagrangian representation of tangles
(with Vladimir Turaev)
Topology 44 (2005), 747-767.
The Conway
potential function of a splice
Proc. Edinburgh Math. Soc.
48 (2005), 61-73.
Studying
the multivariable Alexander
polynomial
by means of Seifert surfaces
Bol. Soc. Mat. Mexicana (3)
10 (2004), Special
Issue, 107-115.
Long Line
Knots
(with Mathieu Baillif)
Arch. Math. 83 (2004), no.1, 70-80.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) The Conway
potential function of a graph
link
Math. Proc. Cambridge
Philos. Soc. 136
(2004), no. 3, 557-563.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) The
Alexander module of links at infinity
Int. Math. Res. Not. (2004),
no. 20, 1023-1036.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) A
geometric construction of the Conway
potential
function
Comment. Math. Helv. 79 (2004), no.1, 124-146.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) L'homologie
de Novikov des entrelacs de
Waldhausen
C. R. Acad. Sci. Paris Ser.
I Math. 333 (2001), no.
10, 939-942.
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Computing
the writhe of a knot
J. Knot Theory
Ramifications 10
(2001), no. 3, 387-395.
PhD thesis
![[pdf]](http://front.math.ucdavis.edu/images/buttons/pdf.png) Alexander
invariants of multilinks
Miscellaneous
Lists of my papers can also be found on the arXiv
and on MathSciNet.
Herbstsemester 2009: Algebra I
Siehe die Homepage
der Vorlesung.
Frühjahrssemester 2009:
Fall
semester 2008: Cohomology and Homotopy Theory
See the class webpage.
Spring
semester 2008: Introduction to Knot Theory
See the class webpage.
Fall semester 2007: Algebraic Topology
See the class webpage.
|