Ilaria Colazzo

Lecturer in Pure Mathematics

University of Leeds

Biography

In June 2024, I will begin my new role as a Lecturer in Pure Mathematics at the University of Leeds in the UK.

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 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.

Interests

Set–theoretical solutions of the Yang–Baxter equation
Skew braces, trusses and generalisations
Regular subgroups of the holomorph
Hopf–Galois extensions
Set–theoretical solutions of the pentagon equation

Education

Ph.D., Mathematics and Informatics, 2017
University of Salento, Lecce, Italy
M.S., Mathematics, 2012
University of Salento, Lecce, Italy
B.S., Mathematics, 2009
University of Salento, Lecce, Italy

Skills

Experience

Postdoctoral Research Fellow

University of Exeter

January 2021 – Present Exeter, UK

Postdoctoral research fellow in the EPSRC project EP/V005995/1: Hopf-Galois Theory and Skew Braces (PI: Nigel Byott).

Postdoctoral Researcher in Mathematics

Vrije Universiteit Brussel

October 2019 – February 2021 Brussels, Belgium

Studied algebraic structures associated with discrete versions of some equations in mathematical physics, such as the Yang-Baxter equation and the Pentagon equation. In particular, we obtained a complete classification of all involutive solutions to the PE.

Accomplishments

Neural Networks and Deep Learning

Coursera Jan 2021

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Blockchain Fundamentals

edX Jan 2021

Formulated informed blockchain models, hypotheses, and use cases.

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Object-Oriented Programming in R

DataCamp Jul 2020 – Dec 2020

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Projects

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Gallery

Featured Publications

Ilaria Colazzo, Robert Ford

July, 2013 In ICW

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Recent Publications

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Ilaria Colazzo, Alan Koch, Isabel Martin-Lyons, Paul J. Truman (2024). Skew bracoids and the Yang-Baxter equation. arXiv.

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Ilaria Colazzo, Eric Jespers, Łukasz Kubat, Arne Van Antwerpen, Charlotte Verwimp (2023). Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation. International Mathematics Research Notices.

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Tomasz Brzeziński, Ilaria Colazzo, Anastasia Doikou, Leandro Vendramin (2023). Mini-workshop: Skew Braces and the Yang-Baxter Equation. Oberwolfach Reports.

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Ilaria Colazzo, Eric Jespers, Łukasz Kubat, Arne Van Antwerpen (2023). Simple solutions of the Yang-Baxter equation. arXiv.

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Ilaria Colazzo, Eric Jespers, Łukasz Kubat, Arne Van Antwerpen (2023). Structure algebras of finite set-theoretic solutions of the Yang--Baxter equation. arXiv.

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