Keep an eye on

Mark your calendars for December 16th-19th!

I’m co-organising with J. Faria Martins (University of Leeds), F. Torzewska (University of Bristol), and M. Szymik (University of Sheffield) a conference on Biraks and Biquandles.

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

Good news for PhD students and early-career researchers: we have limited funding available to support your participation. Be sure to apply by September 30, 2024.

Click here for more information.

About me

I am currently a lecturer at the University of Leeds. Before this, I was a postdoctoral research fellow at the University of Exeter (UK), 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

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


3 June, 2024

New preprint on arxiv: Bijective solutions to the Pentagon Equation.

25 April, 2024

New preprint on arxiv: Skew bracoids and the Yang-Baxter equation.

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!

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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