Upcoming talks

1. Colazzo, I. (2027-08-30). TBA. Torino, Italy – 30/08–03/09/2027; Hopf algebra conference.
2. Colazzo, I. (2027-03-30). TBA. Marburg, Germany – 30/03–01/04/2027; Three-day workshop.
3. Colazzo, I. (2026-12-14). TBA. Università del Salento (Lecce, Italy) – 14/15 December 2026; Algebra a Lecce: colleghi e amici per Francesco Catino.
4. Colazzo, I. (2026-09-17). From the pentagon equation to Hopf algebras with combinatorial bases. Maynooth University, Ireland – 17-18/09/2026; Braiding New Ground: Vertex algebras meet the Yang-Baxter equation.

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).
  organisers: K. Baur, I. Colazzo, 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).
  organisers: T. Brzezinski, I. Colazzo, P. Saracco and L. Vendramin.

Selected talks

1. Colazzo, I. (2026-09-01). The Pentagon Equation on Sets. Keele University, Newcastle-under-Lyme (UK) – 1–4 September 2026; LMS Midlands Regional Meeting and Workshop 2026.
2. Colazzo, I. (2026-05-20). A Hopf Algebra Perspective on Set-Theoretic Pentagon Solutions. European Quantum Algebra Lectures (EQuAL).
3. Colazzo, I. (2026-03-05). A Hopf Algebra Perspective on Set-Theoretic Pentagon Solutions. Séminaire de Topologie et Géométrie; University of Geneva (Switzerland).
4. Colazzo, I. (2025-06-23). Matched Pairs of Groups and Combinatorial Solutions to the Pentagon Equation. BMC-BAMC 2025 - Algebra workshop; University of Exeter (UK) - 22-26/06/2025.
5. Colazzo, I. (2025-06-23). Understanding Set-Theoretic Solutions of the Yang–Baxter Equation Through Skew Braces. ISIN2025 (Integrable Systems in Newcastle) workshop; Northumbria University (UK) - 11-12/06/2025.
6. Colazzo, I. (2025-04-06). Introduction to GAP (Mini-course: 3 lectures + 2 tutorials). GAP Days Spring 2025; Brussels (Belgium), 6-11/04/2025.
7. Colazzo, I. (2024-06-03). Bijective solutions to the pentagon equation. Yang-Baxter Algebras; Edinburgh (UK), 3-7/06/2024.

Selected organising activity

• 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).
  organisers: K. Baur, I. Colazzo, 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).
  organisers: T. Brzezinski, I. Colazzo, P. Saracco and L. Vendramin.
• 08-12/06/2026, VUB-Leeds Algebra Summer School, Vrije Universiteit Brussels (Belgium).
  organisers: I. Colazzo and L. Vendramin.
• 26–31/10/2025, Oberwolfach mini-workshop (2544b): The Yang–Baxter Equation and Representations of Braid Groups, Oberwolfach (Germany).
  organisers: I. Colazzo, J. Plavnik , E. Rowell, and L. Vendramin.
• 07-08/10/2025, IDEAL – Inclusion, Diversity, and Equity in Algebra conference, Leeds (UK).
  organisers: I. Colazzo, F. Fedele, O. McGrath, E. Yıldırım.
• 15-21/06/2025, The Yang-Baxter equation and All That, Bedlewo (Poland).
  organisers: T. Brzezinski, I. Colazzo, L. Vendramin.
• 05-10/05/2024, Skew braces, braids and the Yang-Baxter equation, Banff (Canada).
  organisers: I. Colazzo, J. Plavnik , E. Rowell, and L. Vendramin.
• 19–25/06/2023, Groups, rings and the Yang-Baxter equation 2023, Blankenberge (Belgium).
  organisers: I. Colazzo, A. Van Antwerpen and L. Vendramin.
• 26/02–03/03/2023, Oberwolfach mini–workshop (2309a): Skew Braces and the Yang–Baxter Equation, Oberwolfach (Germany).
  organisers: T. Brzezinski, I. Colazzo, A. Doikou, and L. Vendramin.
• 10-16/07/2022, The algebra of the Yang–Baxter equation, Bedlewo (Poland).
  organisers: I. Colazzo, J. Okniński, L. Vendramin.

Recurring workshop series on skew braces and Hopf-Galois theory

Since 2023, together with P. Truman and L. Vendramin, I have regularly organised The Interplay between Skew Braces and Hopf-Galois Theory. We hold at least two events per year in the UK, sponsored by the London Mathematical Society, the University of Leeds, Keele University, and the Vrije Universiteit Brussel (VUB). Past editions are available here.