# Jonathan Grant

Département de mathématique

Université libre de Bruxelles

Campus de la Plaine – CP 213

Boulevard du Triomphe

B-1050 Bruxelles

Office: O.8.101

Email: jgrant@ulb.ac.be

## About

I am currently a postdoc at the Université Libre de Bruxelles, working with Joost Vercruysse . I did my PhD at Durham University, under the supervision of Andrew Lobb. My research is in the field of knot homology, with particular interest in connections with categorified quantum groups.

## CV

## Publications

Published or accepted papers:

- The moduli problem of Lobb and Zentner and the coloured \( \mathfrak{sl}(N) \) graph invariant In:
*Journal of Knot Theory and Its Ramifications*22(10) (2013), pp. 1350060. arXiv: 1212.4511 [math.GT] - A generators and relations description of a representation category of \( U_q(\mathfrak{gl}(1|1)) \): arXiv: 1406.5399 [math.QA] To appear in
*Algebraic and Geometric Topology*

Preprints:

- A categorification of the skew Howe action on a representation category of \( U_q(\mathfrak{gl}(m|n)) \): arXiv preprint 1504.07671 [math.GT]

Thesis:

- Diagrammatics for representation categories of quantum Lie superalgebras from skew Howe duality and categorification via foams: Durham e-thesis

## Teaching

## Selected talks

- October 2014, Glasgow, UK
- March 2015, Cambridge, UK
- December 2015, Paris, France