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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 a postdoctoral researcher in Mathematics at the University of Bielefeld, working within 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 Area
My research lies at the intersection of Geometric Group Theory, Representation Theory, and Algebraic Combinatorics, with a particular emphasis on the interplay between combinatorial, geometric, and categorical structures arising from intervals in reflection groups.
Reflection and Braid Groups
I study reflection groups and their associated braid groups, including Coxeter groups, Artin–Tits groups, complex reflection and braid groups. More recently, my work has extended to elliptic Weyl groups and their corresponding elliptic Artin groups.
Garside Theory and Interval Structures
A central theme of my research is Garside theory, especially the construction of interval Garside structures related to reflection and braid groups. I investigate combinatorial models for intervals and examine, in particular, the structure of generalised non-crossing partition posets.
Categorification and Homological Methods
Another direction of my research concerns the categorification of intervals in reflection groups. I study how these intervals can be realised within hereditary abelian categories, with the goal of uncovering deeper homological and categorical interpretations of combinatorial and group-theoretic phenomena.
Representation Theory of Algebras
I work on the representation theory of Hecke algebras and Birman–Murakami–Wenzl (BMW) algebras, with applications to the linearity conjecture for complex braid groups. In particular, I investigate the construction and generalisation of Krammer-type representations.
“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 Baumeister and 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 Baumeister, Holt, and Rees).
Journal of Algebra, 629, p. 399-423, 2023.
Link to pdf.
“Interval groups related to finite Coxeter groups, Part II” (with Baumeister, Holt, and 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.