David Cimasoni

Short CV

Research Interests

Publications

Research papers

• Topological complexity of photons’ paths in biological tissues
  (with Tiziano Binzoni and Fabrizio Martelli)
  preprint
• The topological hypothesis for discrete spin models
  (with Robin Delabays)
  J. Stat. Mech. Theory Exp. (2019), 033216, 17 pp.
• Identities between dimer partition functions on different surfaces
  (with Anh Minh Pham)
  J. Stat. Mech. Theory Exp. (2016), 103101, 22 pp.
• A Burau-Alexander 2-functor on tangles
  (with Anthony Conway)
  Fund. Math. 240 (2018), 51-79.
• Splitting numbers and signatures
  (with Anthony Conway and Kleopatra Zacharova)
  Proc. Amer. Math. Soc. 144 (2016), 5443-5455.
• Revisiting the combinatorics of the 2D Ising model
  (with Dmitry Chelkak and Adrien Kassel)
  Ann. Inst. Henri Poincaré D 4 (2017), 309-385.
• Colored tangles and signatures
  (with Anthony Conway)
  Math. Proc. Cambridge Philos. Soc. 164 (2018), 493–530.
• Link Floer Homology categorifies the Conway function
  (with Mounir Benheddi)
  Proc. Edinburgh Math. Soc. 59 (2016), 813-836.
• Kac-Ward operators, Kasteleyn operators, and s-holomorphicity on arbitrary surface graphs
  Ann. Inst. Henri Poincaré D 2 (2015), 113-168.
• The critical temperature for the Ising model on doubly periodic graphs
  (with Hugo Duminil-Copin)
  Electron. J. Probab. 18 (2013), 1-18.
• The critical Ising model via Kac-Ward matrices
  Comm. Math. Phys. 316 (2012), 99-126.
• A generalized Kac-Ward formula
  J. Stat. Mech. Theory Exp. (2010), P07023, 24 pp.
  
• Discrete Dirac operators on Riemann surfaces and Kasteleyn matrices
  J. Eur. Math. Soc. 14 (2012), 1209-1244.
  
• Dimers on graphs in non-orientable surfaces
  Lett. Math. Phys. 87 (2009), 149-179.
• Dimers on surface graphs and spin structures. II
  (with Nicolai Reshetikhin)
  Comm. Math. Phys. 281 (2008), 445-468.
• Dimers on surface graphs and spin structures. I
  (with Nicolai Reshetikhin)
  Comm. Math. Phys. 275 (2007), 187-208.
• Slicing Bing doubles
  Algebr. Geom. Topol. 6 (2006), 2395-2415.
• A generalization of several classical invariants of links
  (with Vladimir Turaev)
  Osaka J. Math. 44 (2007), 1-31.
• Generalized Seifert surfaces and signatures of colored links
  (with Vincent Florens)
  Trans. Amer. Math. Soc. 360 (2008), 1223-1264.
  
• A Lagrangian representation of tangles II.
  (with Vladimir Turaev)
  Fund. Math. 190 (2006), 11-27.
  
• 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), 107-115.
  
• Long Line Knots
  (with Mathieu Baillif)
  Arch. Math. 83 (2004), 70-80.
  
• The Conway potential function of a graph link
  Math. Proc. Cambridge Philos. Soc. 136 (2004), 557-563.
• The Alexander module of links at infinity
  Int. Math. Res. Not. (2004), 1023-1036.
  
• A geometric construction of the Conway potential function
  Comment. Math. Helv. 79 (2004), 124-146.
  
• L'homologie de Novikov des entrelacs de Waldhausen
  C. R. Acad. Sci. Paris Ser. I Math. 333 (2001), 939-942.
  
• Computing the writhe of a knot
  J. Knot Theory Ramifications 10 (2001), 387-395.
  

Lecture notes

• Géométrie II (Topologie générale)
  Polycopié du cours de Géométrie II, Automne 2016.
• Géométrie I
  Polycopié du cours de Géométrie I, Printemps 2014.
• The geometry of dimer models
  Lecture notes of a minicourse given in Dijon (2014) and in TU Berlin (2017).

PhD thesis

• Alexander invariants of multilinks, June 2002.

Miscellaneous

• Proceedings of the Poulpor Seminar : held at the University of Geneva between 1998 and 2002 / éd. M. Baillif, D. Cimasoni
  

PhD students

• Mounir Benheddi: Khovanov homology of torus links: structure and computations (pdf), December 2017, with Paul Turner.
• Anthony Conway: Invariants of colored links and generalizations of the Burau representation (pdf), October 2017.
• Anh Minh Pham: The dimer and Ising models on non-orientable surfaces (pdf), August 2017.

Enseignement: