Ilaria Colazzo

Lecturer in Pure Mathematics, University of Leeds

I am Ilaria Colazzo, Lecturer in Pure Mathematics at the University of Leeds.

My research is in non-commutative algebra, with connections to group theory and mathematical physics. I am particularly interested in:

  • the Yang–Baxter equation
  • the Pentagon equation
  • skew braces, trusses, and related algebraic structures
  • regular subgroups of the holomorph

I also computer algebra systems such as GAP to study these questions from a computational viewpoint.

Find your way around

  • Students — current PhD students, supervision, and information for prospective students
  • Research — research themes, collaborators, visits, and grants
  • Publications — papers, preprints, and other research outputs
  • Events — conferences, workshops, talks, and community activity
  • Teaching — modules, mentoring, and related information

Selected highlights

Paper accepted in Selecta Mathematica

Our paper Bijective solutions to the Pentagon Equation (with J. Okniński and A. Van Antwerpen) has been accepted for publication in Selecta Mathematica. Read the preprint on arXiv →

LMS Midlands Regional Meeting and Workshop 2026

I will be one of the speakers at the LMS Midlands Regional Meeting 2026 at Keele University.
More information →

EWM 2026 mini-symposium

I am co-organising the mini-symposium Combinatorial Yang–Baxter Equation and Skew Braces at the EWM 2026 General Meeting at Warwick.
More information →

All news →


Contact

I welcome enquiries from researchers and students interested in algebra and related topics in mathematical physics.
You can reach me by email.

Dr. Ilaria Colazzo

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

Google Scholar metrics

405 Citations dal 2021: 322
11 h-index dal 2021: 11
11 i10-index dal 2021: 11

Source: Google Scholar
Updated: 2026-06-29

News

7 September, 2026

I am co-organising ICRA 2028: the workshop will take place in Lancaster on 2–5 August, followed by the 23rd International Conference on Representations of Algebras in Leeds on 7–11 August 2028.

5 September, 2026

Our paper Bijective solutions to the Pentagon Equation, with Jan Okniński and Arne Van Antwerpen, is now published online in Selecta Mathematica, volume 32, article 93 (2026).

23 June, 2026

Paper accepted for publication in Orbita Mathematicae: Simple solutions of the Yang-Baxter equation.

... see all News

Upcoming Talks

  1. 30 August, 2027
    TBA at Hopf algebra conference.
  2. 30 March, 2027
    TBA at Three-day workshop.
  3. 17 September, 2026
    From the pentagon equation to Hopf algebras with combinatorial bases at Braiding New Ground: Vertex algebras meet the Yang-Baxter equation.
... see all Talks

Upcoming events

2–5/08/2028 (Lancaster workshop); 7–11/08/2028 (Leeds conference)

ICRA 2028 — Workshop and 23rd International Conference on Representations of Algebras - Lancaster University and University of Leeds (UK).
(with K. Baur, R. Coelho Simões, E. Faber, J. Grabowski and D. Pauksztello)

05-09/04/2027

Yang-Baxter Equation in Group Theory, Category Theory and Noncommutative Geometry - Bedlewo (Poland).
(with T. Brzezinski, P. Saracco and L. Vendramin)

... see all Events I organised