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David Cimasoni


me Coordinates:

Departement Mathematik
Rämistrasse 101
8092 Zürich, Switzerland

Phone: +41 44 632 0449
Office: HG G 28.3

Email: david(dot)cimasoni(at)math(dot)ethz(dot)ch

Short CV

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.


Research Interests

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.


Publications

Research papers


  1. [pdf][ps] Discrete Dirac operators on Riemann surfaces and Kasteleyn matrices
    preprint
  2. [pdf][ps] Dimers on graphs in non-orientable surfaces
    Lett. Math. Phys. 87 (2009), 149-179.
  3. [pdf][ps] Dimers on surface graphs and spin structures. II
    (with Nicolai Reshetikhin)
    Comm. Math. Phys. 281 (2008), 445-468.
  4. [pdf][ps] Dimers on surface graphs and spin structures. I
    (with Nicolai Reshetikhin)
    Comm. Math. Phys. 275 (2007), 187-208.
  5. [pdf][ps] Slicing Bing doubles
    Algebr. Geom. Topol. 6 (2006), 2395-2415.
  6. [pdf][ps] A generalization of several classical invariants of links
    (with Vladimir Turaev)
    Osaka J. Math. 44 (2007), 1-31.
  7. [pdf][ps]Generalized Seifert surfaces and signatures of colored links
    (with Vincent Florens)
    Trans. Amer. Math. Soc. 360 (2008), 1223-1264.
  8. [pdf][ps] A Lagrangian representation of tangles II.
    (with Vladimir Turaev)
    Fund. Math. 190 (2006), 11-27.
  9. [pdf][ps] A Lagrangian representation of tangles
    (with Vladimir Turaev)
    Topology 44 (2005), 747-767.
  10. [pdf] [ps] The Conway potential function of a splice
    Proc. Edinburgh Math. Soc. 48 (2005), 61-73.
  11. [pdf] [ps] Studying the multivariable Alexander polynomial by means of Seifert surfaces
    Bol. Soc. Mat. Mexicana (3) 10 (2004), Special Issue, 107-115.
  12. [pdf] [ps] Long Line Knots
    (with Mathieu Baillif)
    Arch. Math. 83 (2004), no.1, 70-80.
  13. [pdf][ps] The Conway potential function of a graph link
    Math. Proc. Cambridge Philos. Soc. 136 (2004), no. 3, 557-563.
  14. [pdf][ps] The Alexander module of links at infinity
    Int. Math. Res. Not. (2004), no. 20, 1023-1036.
  15. [pdf][ps] A geometric construction of the Conway potential function
    Comment. Math. Helv. 79 (2004), no.1, 124-146.
  16. [pdf][ps]L'homologie de Novikov des entrelacs de Waldhausen
    C. R. Acad. Sci. Paris Ser. I Math. 333 (2001), no. 10, 939-942.
  17. [pdf][ps] Computing the writhe of a knot
    J. Knot Theory Ramifications 10 (2001), no. 3, 387-395.

PhD thesis

  • [pdf][ps] Alexander invariants of multilinks

Miscellaneous


Lists of my papers can also be found on the arXiv and on MathSciNet.


Teaching


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.