David Cimasoni

Short CV

Research Interests

Publications

Research papers

• A diagrammatic computation of abelian link invariants
  with Livio Ferretti and Jessica Liu, Algebr. Geom. Topol.
• On the Kashaev signature conjecture
  with Livio Ferretti, Fund. Math. 266 (2024), 275-287.
• On Arf invariants of colored links
  with Gaetan Simian, Glasg. Math. J.
• Torres-type formulas for link signatures
  with Maciej Markiewicz and Wojciech Politarczyk, Michigan Math. J.
• Minimal bipartite dimers and higher genus Harnack curves
  with Cédric Boutillier and Béatrice de Tilière, Probab. Math. Phys. 4 (2023), 151-208.
• Graph coverings and twisted operators
  with Adrien Kassel, Algebr. Comb. 6 (2023), 75-94.
• The dimer and Ising models on Klein bottles
  Ann. Inst. Henri Poincaré D 11 (2024), 503-569.
• Elliptic dimers on minimal graphs and genus 1 Harnack curves
  with Cédric Boutillier and Béatrice de Tilière, Comm. Math. Phys. 400 (2023), 1071-1136.
• Isoradial immersions
  with Cédric Boutillier and Béatrice de Tilière, J. Graph Theory 99 (2022), 715-757.
• 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.

PhD thesis

• Alexander invariants of multilinks, June 2002.

Miscellaneous

• Topological complexity of photons’ paths in biological tissues
  with Tiziano Binzoni and Fabrizio Martelli, J. Opt. Soc. Am. A 36 (11), 1883-1891 (2019).
• Proceedings of the Poulpor Seminar : held at the University of Geneva between 1998 and 2002 / éd. M. Baillif, D. Cimasoni
  

Lecture notes

• Algèbre II
  Polycopié du semestre d'automne du cours Algèbre II
• Algèbre I
  Polycopié du cours Algèbre I printemps
• Topologie générale
  Polycopié du cours Topologie générale
• Géométrie
  Polycopié du cours Géométrie I
• The geometry of dimer models
  Lecture notes of a minicourse given in Dijon (2014) and in TU Berlin (2017).

Research group

Current members

• Gaetan Simian: PhD student (co-direction with Anthony Conway), started February 2023.
• Livio Ferretti: postdoc, started September 2023.

Former members

• Mounir Benheddi: Khovanov homology of torus links: structure and computations, PhD 2013-2017, with Paul Turner.
• Anthony Conway: Invariants of colored links and generalizations of the Burau representation, PhD 2014-2017.
• Anh Minh Pham: The dimer and Ising models on non-orientable surfaces, PhD 2013-2017.

Enseignement: