Keep an eye on

Mark your calendars for June 15th-21st!

I’m co-organising with T. Brzezinski (University of Białystok, Poland& Swansea University, UK) and L. Vendramin (Vrije Universiteit Brussel, Belgium) the conference The Yang-Baxter equation and all that in the beautiful location of the Bedlewo conference center.

Check out our list of confirmed speakers —— you won’t want to miss them!

Click here for more information.

About me

Welcome to my webpage! I am Ilaria Colazzo, currently a Lecturer in Pure Mathematics at the University of Leeds, UK. My academic journey began at the University of Salento, Italy, where I earned my Ph.D. in Mathematics and Informatics under the guidance of Prof. F. Catino. Afterward, I held postdoctoral positions at the University of Exeter (hosted by Prof. N. Byott), Vrije Universiteit Brussel (hosted by Prof. E. Jespers), and the University of Salento (hosted by Prof. F. Catino) before joining Leeds.

Research & more

My research lies at the intersection of non-commutative algebra, group theory, and mathematical physics. I focus on algebraic structures, such as skew braces and their generalisations, which play a key role in equations like the Yang-Baxter and Pentagon equations. In addition, I use computer algebra systems, particularly GAP, to explore and analyse these structures, providing computational insights that complement the theoretical aspects of my work.

Beyond my research, I am actively involved in organising workshops and conferences to encourage collaboration within the mathematical community. Recent events I have helped organise include The Yang-Baxter Equation and All That (Bedlewo, Poland, 2025), co-organised with T. Brzezinski and L. Vendramin; Skew Braces, Braids, and the Yang-Baxter Equation (Banff, Canada, 2024), with J. Plavnik , E. Rowell, and L. Vendramin; and the Oberwolfach Mini-Workshop: Skew Braces and the Yang–Baxter Equation (Oberwolfach, Germany, 2023), alongside T. Brzezinski, A. Doikou, and L. Vendramin.

Get in Touch

I welcome collaborations and discussions with researchers and students interested in algebra, in particular algebraic structures relevant for mathematical physics and related topics. Feel free to reach out via email.

Dr. Ilaria Colazzo

  • (2024– ) Lecturer, Leeds
  • (2021–24) Postdoc, Exeter
  • (2019–21) Postdoc, VUB

News

1 May, 2025

Next workshop for the The Interplay Between Skew Braces and Hopf-Galois Theory will be in Leeds on May 15th!

10 April, 2025

Paper Skew bracoids containing a skew brace accepted for publication in Journal of Algebra and its Applications

3 June, 2024

New preprint on Arxiv: On the cabling of non-involutive set-theoretic solutions of the Yang--Baxter equation.

... see all News

Research Interests

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