to Thomas Gobet's webpage !
am an ARC supported postdoc in the Algebra research group of the
University of Sydney, working
under the supervision of
Prof. Anthony Henderson. Here is my University of Sydney research
Before this I was an ANR supported postdoc in the Geometry team of the
Institut Elie Cartan de Lorraine in Nancy, working with Pierre-Emmanuel
Chaput. Before this I was a scientific collaborator in the
Representation theory team of Gunter
Malle at the University of Kaiserslautern. Before this I was a PhD
student of François
Digne in the Group theory team of the University of Amiens.
thomas.gobet [-at-] sydney.edu.au
School of Mathematics and Statistics F07
University of Sydney NSW 2006
groups (finite and infinite), Coxeter groups, root systems,
Kazhdan-Lusztig polynomials and related representation theoretic and
categorical incarnations (in particular Soergel bimodules).
groups attached to general Coxeter groups, Garside theory, and related
categorical incarnations (2-braid groups or Rouquier complexes,
actions on triangulated categories, ...), representation theory of
- Dual approaches
in the study of Coxeter groups and Artin groups: dual braid monoids,
Hurwitz action in generated groups, noncrossing partition lattices,
Temperley-Lieb and diagram algebras.
- I will visit A.
Licata at ANU in Canberra on March 13th-15th and give a talk at the
Algebra and Topology Seminar on March 13th.
- I will give a
talk at the UNSW Pure Maths Seminar on March 27th.
- I will visit B.
Baumeister at the University of Bielefeld on April 15th - 21st and
give a talk at the Groups and Geometry Seminar April 18th.
- I will visit
A.-L. Thiel at the University of Stuttgart on April 23rd - 27th.
- I will give a
talk at the Journees
du GDR TLAG 2018 in St-Etienne, 17-18th May.
- I will give a
talk at the USYD Algebra Seminar on June 1st.
of the Temperley-Lieb algebra by bimodules, Journal of
Algebra 419 (2014), 277-317.
partitions and Bruhat order (with Nathan Williams), European
Journal of Combinatorics 53 (2016), 8-34.
partitions, fully commutative elements and bases of the
Temperley-Lieb algebra, Journal of Knot Theory and its
Ramifications 25 (2016), no. 6, 27 pp.
braid monoids, Mikado braids and positivity in Hecke algebras
(with François Digne), Mathematische Zeitschrift 285 (2017),
no. 1-2, 215-238.
the Hurwitz action in finite Coxeter groups (with Barbara
Baumeister, Kieran Roberts, Patrick Wegener), Journal of Group
Theory 20 (2017), no.1, 103-131. Link to the computer
programs we used in this
filtrations of Soergel bimodules and linear Rouquier complexes
Journal of Algebra 484 (2017), 275-309.
combinatorics and Temperley-Lieb algebras, preprint 2016.
cycle decompositions in Coxeter groups,
Séminaire Lotharingien de Combinatoire 78B
(2017), Article #45, 12 pp.
dual braids, noncrossing partitions and Mikado braids of type D_n
(with Barbara Baumeister), Bull. of the London Math. Soc. 49
(2017), no. 6, 1048-1065.
generalized categories of Soergel bimodules in type A_2 (with
Anne-Laure Thiel), C. R. Acad. Sci. 356 (2018), no. 3,
Garside structures and Coxeter sortable elements, preprint 2018.
algebras, Part II. Notes of a one-semester master course which I
gave in the winter 2014 at the University of Kaiserslautern. It covers
root systems, classification of simple finite-dimensional complex Lie
algebras, universal enveloping algebras, classification of
finite-dimensional simple modules (using highest weight modules), Weyl
Slides of some
of Temperley-Lieb algebras, supervised by François Digne. defended
on September 29th, 2014. Picture.