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Eric Jespers has made significant contributions to the field of Mathematics, specifically in numerous aspects of algebras spanning from Ring Theory to the new research area of solutions to the Yang-Baxter equation.

On November 13, 2023, at VUB in Brussels, Belgium, we’re throwing a mathematical fiesta in celebration of his retirement.

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About me

Currently, I am a postdoctoral research fellow at the University of Exeter (UK). I am working on the EPSRC project: Hopf-Galois Theory and Skew Braces (PI: Prof. N. Byott).

Previously, I was a postdoctoral researcher at the Vrije Universiteit Brussel (VUB) in the group ALGB: Algebra, Incidence Geometry (Group and Semigroup Theory) headed by Prof. E. Jespers.

I completed my PhD in 2017 at the University of Salento under the supervision of Prof. F. Catino. During my PhD, I was a visiting PhD student at the University of Warsaw in the group of Algebra and Number Theory headed by Prof. J. Okniński.

My PhD thesis focuses on studying a novel algebraic structure, namely semi-brace, and its connection with set-theoretical solutions of the Yang-Baxter equation.

My research interest focuses on studying algebraic structures associated with discrete versions of some equations in mathematical physics, such as the Yang-Baxter equation and the Pentagon equation. I am mainly interested in algebraic structures such as skew braces, trusses and generalisations that organise, classify and help to find solutions of the Yang-Baxter equation and the Pentagon equation with given properties.

Dr. Ilaria Colazzo

  • (2021– ) Postdoc, Exeter
  • (2019–21) Postdoc, VUB
  • (2017–8) Postdoc, UniSalento
  • (2017) Ph.D. Maths, UniSalento
  • (2009) B.S. Maths, UniSalento

News

15 December, 2023

New preprint on arxiv: Simple solutions of the Yang-Baxter equation.

14 November, 2023

The paper On derived-indecomposable solutions of the Yang--Baxter equation accepted for publication in Publicacions Matemàtiques.

13 October, 2023

The Report of the Obeworfalch Mini-Workshop: Skew Braces and the Yang–Baxter Equation has been pulished.

... see all News

Research Interests

Set–theoretical solutions of the Yang–Baxter equation
Skew braces, trusses and generalisations
Regular subgroups of the holomorph
Hopf–Galois extensions
Set–theoretical solutions of the pentagon equation