Anthony Conway


AnthonyConway

Contact :

Section de Mathématiques
2-4 rue du Lièvre
1211 Genève
Switzerland

Bureau: no 616, 6ème étage

Email: Anthony(dot)Conway(at)unige(dot)ch


Starting from January 1 2018, I will be a postdoc at Durham University (supported by the Swiss FNS). Before that, from September 2014 to October 2017, I was a Ph.D student at the University of Geneva under the supervision of David Cimasoni. I also spent the fall of 2016 at Indiana University, Bloomington and the winter of 2017 at UQAM, Montréal. Here is a CV.

Research Interests :

My research interests lie in low dimensional topology. More precisely, I study various link invariants and I have a growing interest in link concordance.


Publications and preprints

  1. Conway's potential function via the Gassner representation
    (with Solenn Estier)
    September 2017, preprint
  2. Linking forms revisited
    (with Stefan Friedl and Gerrit Herrmann)
    Pure and Applied Mathematics Quarterly (to appear)
  3. An explicit computation of the Blanchfield pairing for arbitrary links
    Canadian Journal of Mathematics (to appear)
  4. Multivariable signatures, genus bounds and 1-solvable cobordisms
    (with Matthias Nagel and Enrico Toffoli)
    March 2017, preprint
  5. The Blanchfield pairing of colored links
    (with Stefan Friedl and Enrico Toffoli)
    Indiana Univ. Math. J. (to appear)
  6. L^2-Burau maps and L^2-Alexander torsions
    (with Fathi Ben Aribi)
    Osaka J. Math. (to appear)
  7. A Burau-Alexander 2-functor on tangles
    (with David Cimasoni)
    Fund. Math. 240 (2018), 51-79.
  8. Splitting numbers and signatures
    (with David Cimasoni and Kleopatra Zacharova)
    Proc. Amer. Math. Soc. 144 (2016), 5443-5455.
  9. Burau maps and twisted Alexander polynomials
    Proc. Edinburgh Math. Soc. (to appear)
  10. Colored tangles and signatures
    (with David Cimasoni)
    Math. Proc. Cambridge Philos. Soc. (to appear)

Phd Thesis

Invariants of colored links and generalizations of the Burau representation .

Seminars:

Topology and geometry Seminar: Autumn 2017 and previous semesters.

Graduate Seminar: Spring 2017 and previous semesters.

Reading groups: Spring 2017