Two events I’m co-organising this autumn in Leeds:
7–8 October 2025
University of Leeds, UK
A two-day conference dedicated to equity and representation in algebra, featuring invited talks, panel discussions, and community-building sessions.
Distinguished Lecture by Karin Erdmann
There are spots available for contributed talks.
9 October 2025
University of Leeds, UK
A one-day workshop focused on combinatorial approaches to the Yang–Baxter equation.
Speakers: Anastasia Doikou, Eric Jespers, Agata Smoktunowicz
There are spots available for contributed talks.
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.
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.
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.
I am organising a workshop on the combinatorial aspects of the Yang–Baxter equation, taking place on 9 October 2025 at the University of Leeds.
More info
I am co-organising the IDEAL conference on Inclusion, Diversity, and Equity in Algebra at the University of Leeds. The conference will be held on 7–8 October 2025 and features a distinguished lecture by Karin Erdmann. Spots are available for contributed talks.
More info
I will be presenting a talk on matched pairs of groups and combinatorial solutions to the Pentagon Equation at the 15th Ukraine Algebra Conference. The talk is scheduled for 11 July. Conference website
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