Dr Ilaria Colazzo

Postdoctoral Research Fellow

I.Colazzo@exeter.ac.uk

(Streatham) 5280

01392 725280

Overview

Currently, I am a postdoctoral research fellow at the University of Exeter (UK). I am 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 of 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.

Publications

No publications found

Further information

Conferences and seminars

Organised seminars and conferences

26/02–03/03/2023, Oberwolfach mini-workshop (2309a): Skew Braces and the Yang–Baxter Equation, member of the scientific committee (with T. Brzezinski, A. Doikou, and L. Vendramin)

10-16/07/2019, The algebra of the Yang–Baxter equation, Bedlewo (Poland), member of the organising committee (with Ł. Kubat, V. Lebed, J. Okniński, A. Van Antwerpen, L. Vendramin, and M. Wiertel)

16-19/09/2019, Conference Young Researchers Algebra Conference 2019, Naples (Italy), member of the scientific committee (with M. Brescia, M. Ferrara, P. Stefanelli and M. Trombetti)

25-28/06/2019, Advances in Group Theory and Applications 2019, Lecce (Italy), member of the organising committee (with M. Brescia, M. Ferrara, M. M. Miccoli, P. Stefanelli and M. Trombetti)

05-08/09/2017, Advances in Group Theory and Applications 2017, Lecce (Italy), member of the organising committee (with M. M. Miccoli, P. Stefanelli and M. Trombetti)

16–19/06/2015, Advances in Group Theory and Applications 2015, Porto Cesareo, Lecce (Italy), member of the organising committee (with M. M. Miccoli, P. Stefanelli)

2015–2019, Algebra Reading Seminar, Co-organiser of the Department seminar (with F. Catino)
University of Salento, Department of Mathematics and Physics “Ennio De Giorgi”

Talks

20/10/2022, Seminar Algebra, University of Warsaw (Poland)
Retractability problem for quasi-linear cycle sets – Invited talk

30/05–03/06/2022, Hopf algebras and Galois module theory, Omaha/Online
YB-semitrusses and left non-degenerate solutions to the Yang-Baxter equation – Invited talk

18/05/2022, QA Seminar, Vrije Universiteit Brussel (Belgium)
Set-theoretic solution of the Pentagon Equation: the involutive case – Invited talk

20/04/2022, University of Padua (Italy)
Set-theoretic solutions of the Yang-Baxter equation and related associative structure – Invited talk

04–06/01/2022, Braces in Bracelet Bay, Swansea University, Online
YB-semitrusses with associated bijective solutions – Invited talk

12/11/2021, Al@Bicocca take-away, University of Milan - Bicocca, Milan (Italy)
Bijective set-theoretic solutions of the Pentagon Equation – Invited talk

24–27/05/2021, Hopf algebras and Galois module theory, Online
Skew braces and solutions of the Yang-Baxter equation – Invited talk

28/05/2020, ALGB Seminar, Vrije Universiteit Brussel (Belgium)
Involutive solutions of the Pentagon Equation – Invited talk

11/02/2020, ALGB Seminar, Vrije Universiteit Brussel (Belgium)
The algebraic structure of brace-like semi-trusses – Invited talk

10–11/10/2019, 1st workshop Algebra for Cryptography, L'Aquila (Italy)
Braces: between regular subgroups and solutions of the Yang-Baxter equation – Invited talk

25–28/06/2019, Advances in Group Theory and Applications 2019, Lecce (Italy)
The matched product of shelves

13/10/2018, ALGB Seminar, Vrije Universiteit Brussel (Belgium)
Regular subgroups and left semi-braces – Invited talk

11–15/03/2018, Noncommutative and non-associative structures, braces and applications, Malta
The matched product of the solutions of the Yang-Baxter equation – Invited talk

5–8/09/2017, Advances in Group Theory and Applications 2017, Lecce (Italy)
Skew braces with non-trivial annihilator

18–24/06/2017, Groups, Rings and the Yang-Baxter equation, Spa (Belgium)
Semi-braces and the Yang-Baxter equation

23–24/05/2017, Young Researchers Algebra Conference 2017, Naples (Italy)
The algebraic structure of semi-brace

24/11/2016, Seminar Algebra, University of Warsaw (Poland)
Regular subgroups of the affine group – Invited talk

3–8/07/2016, Conference on Rings and Polynomials, Graz (Austria)
Radical braces and the Yang–Baxter equation

16-17/06/2016, Group Theory in Florence: a meeting in honour of Guido Zappa, Florence (Italy)
Regular subgroups of an affine group

16–19/06/2015, Advances in Group Theory and Applications 2015, Porto Cesareo, Lecce (Italy)
The Asymmetric Product of radical braces

Teaching

A.Y. 2022–23
- MAGIC111: Introduction to set-theoretic solutions to the Yang-Baxter equation and skew braces
  (Course for PhD students)
  Lecturer (for a total of 10 hours)
  Duties included preparing and delivering lectures, preparing study material and exercises, marking homework and marking the final assignment.
  MAGIC (UK)
  MAGIC is a collaboration of 22 universities, coordinated by the University of Exeter.
- MTH2010 – Groups, Rings and Fields (Course Prof Mohamed Saidi)
  Tutor (for a total of 10 hours)
  Duties included preparing lectures for tutorial classes, fielding of student inquiries, and marking homework.
  Univeristy of Exeter, Exeter (UK)
A.Y. 2021–22
- MTH1001 – Mathematical structures (Course Dr Gihan Marasingha)
  Tutor (for a total of 10 hours)
  Duties included preparing lectures for tutorial classes, fielding of student inquiries, and marking homework.
  Univeristy of Exeter, Exeter (UK)
A.Y. 2018–19
- Algebra I and II (Course Prof. F. Catino and Prof. M. M. Miccoli)
  Tutor (for a total of 30 hours)
  Duties included preparing lectures for tutorial classes, fielding of student inquiries, and office hours.
  Università del Salento, Lecce (Italy)
A.Y. 2017–18
- Group Theory (Course Prof. F. Catino)
  Teaching assistant
  Duties included preparing lectures for tutorial classes for recitation classes and office hours.
  Università del Salento, Lecce (Italy)
- Mathematics preliminary course for bachelor’s students in Mathematics and in Physics
  Instructor (for a total of 30 hours)
  Duties included preparing lectures, fielding of student inquiries, and office hours.
  Università del Salento, Lecce (Italy)
A.Y. 2016–17
- Group Theory (Course Professor F. Catino)
  Teaching assistant
  Duties included preparing lectures for tutorial classes for recitation classes and office hours.
  Università del Salento, Lecce (Italy)
- Algebra I (Course Professor F. Catino)
  Tutor (for a total of 30 hours)
  Duties included preparing lectures for tutorial classes, fielding of student inquiries, and office hours.
  Università del Salento, Lecce (Italy)
A.Y. 2015–16
- Group Theory (Course Prof. F. Catino)
  Teaching assistant
  Duties included preparing lectures for tutorial classes for recitation classes and office hours.
  Università del Salento, Lecce (Italy)
- Algebra II (Prof. M. M. Miccoli)
  Teaching assistant
  Duties included preparing lectures for tutorial classes for recitation classes and office hours.
  Università del Salento, Lecce (Italy)
July 2016 – 2019
Exam committee member for Algebra examination (it "Cultore della materia")
Duties included grading final exams.
Università del Salento, Lecce (Italy)