Department of Mathematical Sciences

Lower Mountjoy Stockton Road

Durham, DH1 3LE

United Kingdom

Office: CM123

Email: Anthonyyconway(at)gmail(dot)com

From January 2018 to July 2019, I am a postdoc at Durham University (funded by the Swiss National Science Foundation) where I mostly work with Mark Powell. 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 more detailed CV.

Together with Marco Golla, we are organising a conference in Le Croisic on "knot concordance and low-dimensional manifolds", 17-21 June 2019.

More information (as well as a registration form) can be found here.

**Research Interests** :

**Publications and preprints
**

- The Levine-Tristram
signature: a survey

*March 2019, preprint* - Enumerating homotopy-ribbon
slice discs

(with Mark Powell)

*February 2019, preprint* - Stably slice disks of links

(with Matthias Nagel)

*January 2019, preprint* - Twisted Blanchfield
pairings, twisted signatures and Casson-Gordon invariants

(with Maciej Borodzik and Wojciech Politarczyk)

*September 2018, preprint* - A multivariable Casson-Lin type
invariant

(with Léo Bénard)

*May 2018, preprint* - Conway's potential function
via the Gassner representation

(with Solenn Estier)

*September 2017, preprint* - Linking forms revisited

(with Stefan Friedl and Gerrit Herrmann)

*Pure and Applied Mathematics Quarterly 12 (2016), 493-515.* - An explicit computation of
the Blanchfield pairing for arbitrary links

*Canadian Journal of Mathematics 70 (2018), 983-1007.* - Multivariable signatures, genus
bounds and 0.5-solvable cobordisms

(with Matthias Nagel and Enrico Toffoli)

*Michigan Math. J.*(to appear) - The Blanchfield
pairing of colored links

(with Stefan Friedl and Enrico Toffoli)

*Indiana Univ. Math. J.*67 (2018), 2151-2180. -
L^2-Burau maps and L^2-Alexander torsions

(with Fathi Ben Aribi)

*Osaka J. Math.*55*(2018), 529-545.* - A Burau-Alexander 2-functor on
tangles

(with David Cimasoni)

*Fund. Math. 240 (2018), 51-79.* -
Splitting numbers and signatures

(with David Cimasoni and Kleopatra Zacharova)

*Proc. Amer. Math. Soc. 144 (2016), 5443-5455.* - Burau maps and
twisted Alexander polynomials

*Proc. Edinburgh Math. Soc.*61 (2018) 479-497 - Colored tangles and
signatures

(with David Cimasoni)

*Math. Proc. Cambridge Philos. Soc. 164 (2018), 493-530.*

**Phd Thesis
**

**Unpublished notes** :

Lecture notes for an introductory course on differential topology and surgery theory.

**Organisation of seminars and
conferences**:

Together with Mark
Powell, we recently organised a workshop in Durham on "twisted and
quantum knot invariants", 13-15 December 2018.

More information can be found here.

-the Topology and Geometry seminar (Autumn 2017 and previous semesters);

-the Graduate Seminar: Spring 2017 and previous semesters.

**Teaching**:

As a PhD student in Geneva, I was a TA for the following courses: Linear Algebra, Analysis 1, Analysis 2, Algebra and Geometry 3 (fundamental group and covering spaces) Knot theory and category theory.