Ilaria Colazzo

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

 
 
 
 
 
University of Exeter
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).
 
 
 
 
 
Vrije Universiteit Brussel
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

Coursera
Neural Networks and Deep Learning
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Formulated informed blockchain models, hypotheses, and use cases.
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DataCamp
Object-Oriented Programming in R
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Projects

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Gallery

Recent Publications

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(2024). Skew bracoids and the Yang-Baxter equation. arXiv.

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(2023). Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation. International Mathematics Research Notices.

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(2023). Mini-workshop: Skew Braces and the Yang-Baxter Equation. Oberwolfach Reports.

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(2023). Simple solutions of the Yang-Baxter equation. arXiv.

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(2023). Structure algebras of finite set-theoretic solutions of the Yang--Baxter equation. arXiv.

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Recent & Upcoming Talks

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