About me

In June 2024, I will begin my new role as a Lecturer in Pure Mathematics at the University of Leeds in the UK.

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. OkniĊ„ski.

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


2 April, 2024

I'm thrilled to share that in June 2024, I'll be starting as a Lecturer in Pure Mathematics at the University of Leeds (UK). I can't wait to embark on this exciting new journey!

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.

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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