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Contact: gneaime@math.uni-bielefeld.de
Address: Universität Bielefeld
Postfach 10 01 31
D-33501 Bielefeld
Contact: gneaime@math.uni-bielefeld.de
Address: Universität Bielefeld
Postfach 10 01 31
D-33501 Bielefeld
I am currently a postdoc at the University of Bielefeld. I am a member of the collaborative research centre TRR-358. Previously, I was a postdoc at the Ruhr-University Bochum and the University of Bielefeld. I did my PhD at the University of Caen under the supervision of Eddy Godelle and Ivan Marin.
Research areas:
Algebraic combinatorics, representation theory, combinatorial and geometric group theory.
Research interests:
A part of my research interests lies in the study of reflection groups and their braid groups. Among these groups are Coxeter and Artin-Tits groups, as well as complex reflection and braid groups. More recently, I am also studying elliptic (or extended affine) Weyl groups and their elliptic Artin groups.
I am specialised in Garside theory and interval Garside theory. An important part of my research is to elaborate combinatorial techniques for intervals in groups, and relate them to combinatorial objects such as generalised non-crossing partitions.
More recently, I am establishing bijections between intervals consisting of combinatorial objects and intervals arising from representation theory of algebras. In particular, I am studying the interplay between combinatorics of intervals and certain hereditary categories.
Another research topic is the construction of Krammer representations. I am actually working on the conjecture of linearity of complex braid groups. In this context, I am studying the representation theory of Hecke algebras, Brauer algebras, and Birman-Murakami-Wenzl (BMW) algebras.
If you are interested in my research statement, please contact me.
“Interval Garside structures for the complex braid groups B(e, e, n).”
Transactions of the American Mathematical Society, 372(12):8815–8848, 2019.
Link to pdf.
“Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n).”
Journal of Pure and Applied Algebra, 225(2):Paper No. 106500, 28, 2021.
Link to pdf.
“Interval Garside structures related to the affine Artin groups of type \tilde{A}.”
Journal of Algebra, 607, 2022.
Link to pdf.
“Interval groups related to finite Coxeter groups I” (with Barbara Baumeister and Sarah Rees).
Algbebraic Combinatorics, Volume 6, Issue 2, p. 471-506, 2023.
Link to pdf.
“Isomorphism and non-isomorphism for interval groups of type D_n” (with Barbara Baumeister, Derek Holt, and Sarah Rees).
Journal of Algebra, 629, p. 399-423, 2023.
Link to pdf.
“Interval groups related to finite Coxeter groups, Part II” (with Barbara Baumeister, Derek Holt, and Sarah Rees).
Transactions of the London Mathematical Society, 10, p. 100-123, 2023.
Link to pdf.
“Interval structures, Hecke algebras, and Krammer’s representations for the complex braid groups B(e, e, n).” PhD Thesis, Université de Caen Normandie, 2018.
Supervisors: Eddy Godelle and Ivan Marin.
Reviewers: Gunter Malle and Jon McCammond.
Jury: Ruth Corran, François Digne, Eddy Godelle, Ivan Marin, Jon McCammond, Jean Michel, and Matthieu Picantin.
For recruiters, please contact me to get my detailed CV, where I include
teaching activities,
administrative and outreach activities,
programming skills,
conference and seminar talks.