# Research

# Papers

## Preprints

## Publications

"2-Verma modules", with Pedro Vaz in J. Reine Angew. Math. 782 (2021), 43-108. , arXiv

"Tensor product categorifications, Verma modules and the blob 2-category", with Abel Lacabanne and Pedro Vaz in Quantum Topol. 12 (2021), no. 4, 705-812, arXiv

"2-Verma modules and Khovanov-Rozansky link homologies", with Pedro Vaz in Math. Z. 299 (2021), no. 1-2, 139-162, arXiv

"Real Springer fibers and odd arc algebras", with Jens Niklas Eberhardt and Arik Wilbert in J. Lond. Math. Soc. 103 (2021), 1415-1452, arXiv

"An approach to categorification of Verma modules", with Pedro Vaz in Proc. Lond. Math. Soc. 117 (2018), no. 6, 1181-1241, arXiv

"On 2-Verma modules for quantum sl2", with Pedro Vaz in Selecta Math. 24 (2018), no. 4, 3763-3821, arXiv

"Odd Khovanov arc algebra", with Pedro Vaz in Fund. Math. 241 (2018), no. 2, 143–178, arXiv

## Thesis

PhD Thesis "Categorification of Verma modules", 2019, slides

Master Thesis "Construction impaire et étude de l'anneau des arcs de Khovanov", 2015

Bachelor Thesis "Étude du polynôme de HOMFLY-PT des entrelacs au travers d'une représentation du groupe des tresses dans un algèbre de Iwahori-Hecke", 2013

## Talks and posters

Online talk at the UCLouvain topology seminar on "An algebraic topology construction of odd Khovanov homology" (2020), slides

Online joint talk at the IAS "Virtual Workshop on Recent Developments in Geometric Representation Theory" on "2-Verma modules" with Pedro Vaz (2020), slides

Online talk on "Real Springer fiber and odd Khovanov arc algebras" at the AMS "Special Session on Geometry and Representation Theory of Quantum Algebras and Related Topics" (2020), slides

Online 2-parts lecture on "Odd Khovanov homology for tangles"in the seminar "Learning Seminar on Categorification" (2020), slides part I and part II

3h mini-course on "Higher representation theory of sl2" for the conference "Aspects of higher representation theory: quantum groups and categorification", Brussels (2019)

Poster and minitalk “Odd arc algebras and odd topological Springer fibers” during the workshop“Categorification and higher representation theory” at the institute Mittag-Leffler, Stockholm (2018)

Talk "2-Verma modules and the Khovanov-Rozansky link homologies, II" during the conference "Knots in Washington XLVI" in Washington DC (2018)

Poster about 2-Verma modules, winter school "Categorification, representation theory and symplectic geometry" at the HIM in Bonn (2017), poster

Talk "Categorification of Verma modules", UCL-VUB-ULB seminar on Quantum groups, Hopf algebras and monoidal categories (2017), slides

Talk "Odd Khovanov's arc algebras", student seminar at the University of Bourgogne (2016), slides

Poster "Odd Khovanov's arc algebras", winter school "Winterbraid" in Lille (2016), poster

## My interests

I study higher representation theory of quantum groups (i.e. quantum Kac-Moody algebras) and their applications in low-dimensional topology. Hence, I'm interested in algebraic topology, representation theory and category theory.

## Some nice pictures

## Contact

Max-Planck Institute for Mathematics

Vivatsgasse 7

53111 Bonn

Germany