Collaborators

• Tomasz Brzeziński (1) – Swansea University, UK
  1. Brzeziński, T., Colazzo, I., Doikou, A., & Vendramin, L. (2023). Mini-workshop: Skew Braces and the Yang-Baxter Equation. In Oberwolfach Reports (No.1; Vol. 20, Number 1, pp. 536–567).
• Francesco Catino (7) – Università del Salento, Italy
  1. Catino, F., Colazzo, I., & Stefanelli, P. (2021). Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces. Forum Math., 33(3), 757–772. https://doi.org/10.1515/forum-2020-0082
  2. Catino, F., Colazzo, I., & Stefanelli, P. (2020). The matched product of the solutions to the Yang-Baxter equation of finite order. Mediterr. J. Math., 17(2), Paper No. 58, 22. https://doi.org/10.1007/s00009-020-1483-y
  3. Catino, F., Colazzo, I., & Stefanelli, P. (2020). The matched product of set-theoretical solutions of the Yang-Baxter equation. J. Pure Appl. Algebra, 224(3), 1173–1194. https://doi.org/10.1016/j.jpaa.2019.07.012
  4. Catino, F., Colazzo, I., & Stefanelli, P. (2019). Skew left braces with non-trivial annihilator. J. Algebra Appl., 18(2), 1950033, 23. https://doi.org/10.1142/S0219498819500336
  5. Catino, F., Colazzo, I., & Stefanelli, P. (2017). Semi-braces and the Yang-Baxter equation. J. Algebra, 483, 163–187. https://doi.org/10.1016/j.jalgebra.2017.03.035
  6. Catino, F., Colazzo, I., & Stefanelli, P. (2016). Regular subgroups of the affine group and asymmetric product of radical braces. J. Algebra, 455, 164–182. https://doi.org/10.1016/j.jalgebra.2016.01.038
  7. Catino, F., Colazzo, I., & Stefanelli, P. (2015). On regular subgroups of the affine group. Bull. Aust. Math. Soc., 91(1), 76–85. https://doi.org/10.1017/S000497271400077X
• Anastasia Doikou (1) – Heriot-Watt University, Edinburgh, UK
  1. Brzeziński, T., Colazzo, I., Doikou, A., & Vendramin, L. (2023). Mini-workshop: Skew Braces and the Yang-Baxter Equation. In Oberwolfach Reports (No.1; Vol. 20, Number 1, pp. 536–567).
• Maria Ferrara (1) – Università Telematica Pegaso, Naples, Italy
  1. Colazzo, I., Ferrara, M., & Trombetti, M. (2025). On derived-indecomposable solutions of the Yang-Baxter equation. Publ. Mat., 69(1), 171–193. https://doi.org/10.5565/publmat6912508
• Geoffrey Janssens (1) – Vrije Universiteit Brussel, Belgium
  1. Colazzo, I., & Janssens, G. (2026). On set-theoretic solutions of pentagon equation and positive basis Hopf algebras. arXiv.
• Eric Jespers (5) – Vrije Universiteit Brussel, Belgium
  1. Colazzo, I., Jespers, E., Kubat, Ł., & Van Antwerpen, A. (2026). Structure algebras of finite set-theoretic solutions of the Yang–Baxter equation. Journal of Algebra, 705, 61–117.
  2. Colazzo, I., Jespers, E., Kubat, Ł., & Van Antwerpen, A. (2026). Simple solutions of the Yang-Baxter equation. accepted for publication in Orbita Mathematicae.
  3. Colazzo, I., Jespers, E., Kubat, Ł., Van Antwerpen, A., & Verwimp, C. (2023). Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation. International Mathematics Research Notices, rnad183. https://doi.org/10.1093/imrn/rnad183
  4. Colazzo, I., Jespers, E., Van Antwerpen, A., & Verwimp, C. (2022). Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses. J. Algebra, 610, 409–462. https://doi.org/10.1016/j.jalgebra.2022.07.019
  5. Colazzo, I., Jespers, E., & Kubat, Ł. (2020). Set-theoretic solutions of the pentagon equation. Comm. Math. Phys., 380(2), 1003–1024. https://doi.org/10.1007/s00220-020-03862-6
• Alan Koch (1) – Agnes Scott College, Georgia, US
  1. Colazzo, I., Koch, A., Martin-Lyons, I., & Truman, P. J. (2025). Skew bracoids containing a skew brace. Journal of Algebra and Its Applications, 0(0), 2650235. https://doi.org/10.1142/S021949882650235X
• Łukasz Kubat (4) – University of Warsaw, Poland
  1. Colazzo, I., Jespers, E., Kubat, Ł., & Van Antwerpen, A. (2026). Structure algebras of finite set-theoretic solutions of the Yang–Baxter equation. Journal of Algebra, 705, 61–117.
  2. Colazzo, I., Jespers, E., Kubat, Ł., & Van Antwerpen, A. (2026). Simple solutions of the Yang-Baxter equation. accepted for publication in Orbita Mathematicae.
  3. Colazzo, I., Jespers, E., Kubat, Ł., Van Antwerpen, A., & Verwimp, C. (2023). Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation. International Mathematics Research Notices, rnad183. https://doi.org/10.1093/imrn/rnad183
  4. Colazzo, I., Jespers, E., & Kubat, Ł. (2020). Set-theoretic solutions of the pentagon equation. Comm. Math. Phys., 380(2), 1003–1024. https://doi.org/10.1007/s00220-020-03862-6
• Isabel Martin-Lyons (1) – Keele University, UK
  1. Colazzo, I., Koch, A., Martin-Lyons, I., & Truman, P. J. (2025). Skew bracoids containing a skew brace. Journal of Algebra and Its Applications, 0(0), 2650235. https://doi.org/10.1142/S021949882650235X
• Jan Okniński (1) – University of Warsaw, Poland
  1. Colazzo, I., Okniński, J., & Van Antwerpen, A. (2026). Bijective solutions to the Pentagon Equation. Selecta Mathematica, 32, 93. https://doi.org/10.1007/s00029-026-01197-z
• Julia Plavnik (2) – Indiana University Bloomington, USA
  1. Colazzo, I., Plavnik, J., Rowell, E., & Vendramin, L. (2025). Mini-workshop: The Yang–Baxter Equation and Representations of Braid Groups. In Oberwolfach Reports (No.0; Vol. 0, Number 0, pp. 1–39).
  2. Colazzo, I., Rowell, E., Plavnik, J., & Vendramin, L. (2024). Skew Braces, Braids and the Yang-Baxter Equation. Workshop report 24w5201, BIRS; May 5–10, 2024.
• Eric Rowell (2) – Texas A&M University, College Station, USA
  1. Colazzo, I., Plavnik, J., Rowell, E., & Vendramin, L. (2025). Mini-workshop: The Yang–Baxter Equation and Representations of Braid Groups. In Oberwolfach Reports (No.0; Vol. 0, Number 0, pp. 1–39).
  2. Colazzo, I., Rowell, E., Plavnik, J., & Vendramin, L. (2024). Skew Braces, Braids and the Yang-Baxter Equation. Workshop report 24w5201, BIRS; May 5–10, 2024.
• Paola Stefanelli (7) – Università del Salento, Italy
  1. Catino, F., Colazzo, I., & Stefanelli, P. (2021). Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces. Forum Math., 33(3), 757–772. https://doi.org/10.1515/forum-2020-0082
  2. Catino, F., Colazzo, I., & Stefanelli, P. (2020). The matched product of the solutions to the Yang-Baxter equation of finite order. Mediterr. J. Math., 17(2), Paper No. 58, 22. https://doi.org/10.1007/s00009-020-1483-y
  3. Catino, F., Colazzo, I., & Stefanelli, P. (2020). The matched product of set-theoretical solutions of the Yang-Baxter equation. J. Pure Appl. Algebra, 224(3), 1173–1194. https://doi.org/10.1016/j.jpaa.2019.07.012
  4. Catino, F., Colazzo, I., & Stefanelli, P. (2019). Skew left braces with non-trivial annihilator. J. Algebra Appl., 18(2), 1950033, 23. https://doi.org/10.1142/S0219498819500336
  5. Catino, F., Colazzo, I., & Stefanelli, P. (2017). Semi-braces and the Yang-Baxter equation. J. Algebra, 483, 163–187. https://doi.org/10.1016/j.jalgebra.2017.03.035
  6. Catino, F., Colazzo, I., & Stefanelli, P. (2016). Regular subgroups of the affine group and asymmetric product of radical braces. J. Algebra, 455, 164–182. https://doi.org/10.1016/j.jalgebra.2016.01.038
  7. Catino, F., Colazzo, I., & Stefanelli, P. (2015). On regular subgroups of the affine group. Bull. Aust. Math. Soc., 91(1), 76–85. https://doi.org/10.1017/S000497271400077X
• Marco Trombetti (1) – Università di Napoli Federico II, Italy
  1. Colazzo, I., Ferrara, M., & Trombetti, M. (2025). On derived-indecomposable solutions of the Yang-Baxter equation. Publ. Mat., 69(1), 171–193. https://doi.org/10.5565/publmat6912508
• Paul J. Truman (1) – Keele University, UK
  1. Colazzo, I., Koch, A., Martin-Lyons, I., & Truman, P. J. (2025). Skew bracoids containing a skew brace. Journal of Algebra and Its Applications, 0(0), 2650235. https://doi.org/10.1142/S021949882650235X
• Arne Van Antwerpen (7) – Maynooth University, Ireland
  1. Colazzo, I., & Van Antwerpen, A. (2026). On the cabling of non-involutive set-theoretic solutions of the Yang–Baxter equation. Journal of Algebra, 698. https://doi.org/10.1016/j.jalgebra.2026.03.013
  2. Colazzo, I., Okniński, J., & Van Antwerpen, A. (2026). Bijective solutions to the Pentagon Equation. Selecta Mathematica, 32, 93. https://doi.org/10.1007/s00029-026-01197-z
  3. Colazzo, I., Jespers, E., Kubat, Ł., & Van Antwerpen, A. (2026). Structure algebras of finite set-theoretic solutions of the Yang–Baxter equation. Journal of Algebra, 705, 61–117.
  4. Colazzo, I., Jespers, E., Kubat, Ł., & Van Antwerpen, A. (2026). Simple solutions of the Yang-Baxter equation. accepted for publication in Orbita Mathematicae.
  5. Colazzo, I., Jespers, E., Kubat, Ł., Van Antwerpen, A., & Verwimp, C. (2023). Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation. International Mathematics Research Notices, rnad183. https://doi.org/10.1093/imrn/rnad183
  6. Colazzo, I., Jespers, E., Van Antwerpen, A., & Verwimp, C. (2022). Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses. J. Algebra, 610, 409–462. https://doi.org/10.1016/j.jalgebra.2022.07.019
  7. Colazzo, I., & Van Antwerpen, A. (2021). The algebraic structure of left semi-trusses. J. Pure Appl. Algebra, 225(2), Paper No. 106467, 15. https://doi.org/10.1016/j.jpaa.2020.106467
• Leandro Vendramin (3) – Vrije Universiteit Brussel, Belgium
  1. Colazzo, I., Plavnik, J., Rowell, E., & Vendramin, L. (2025). Mini-workshop: The Yang–Baxter Equation and Representations of Braid Groups. In Oberwolfach Reports (No.0; Vol. 0, Number 0, pp. 1–39).
  2. Colazzo, I., Rowell, E., Plavnik, J., & Vendramin, L. (2024). Skew Braces, Braids and the Yang-Baxter Equation. Workshop report 24w5201, BIRS; May 5–10, 2024.
  3. Brzeziński, T., Colazzo, I., Doikou, A., & Vendramin, L. (2023). Mini-workshop: Skew Braces and the Yang-Baxter Equation. In Oberwolfach Reports (No.1; Vol. 20, Number 1, pp. 536–567).
• Charlotte Verwimp (2) – Vrije Universiteit Brussel, Belgium
  1. Colazzo, I., Jespers, E., Kubat, Ł., Van Antwerpen, A., & Verwimp, C. (2023). Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation. International Mathematics Research Notices, rnad183. https://doi.org/10.1093/imrn/rnad183
  2. Colazzo, I., Jespers, E., Van Antwerpen, A., & Verwimp, C. (2022). Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses. J. Algebra, 610, 409–462. https://doi.org/10.1016/j.jalgebra.2022.07.019

Collaborator Map