Dr. Ugur Efem's Profile Picture

Dr. Ugur Efem

Lecturer in Engineering Mathematics

I completed my BSc in Mathematics at Istanbul Bilgi University (2009), and obtained an MSc in Mathematics from Sabanci University (2011), in Istanbul. I then moved to the UK to pursue my PhD, and I obtained a DPhil in Mathematics (specialising in model theory, a sub-branch of logic) from University of Oxford in 2019.

I am a member of the London Mathematical Society. Since March 2025, I am a Fellow of the Higher Education Academy (FHEA). I also obtained the SEDA – PDF Supporting Learning Award in 2020.

Before joining Dyson Institute, I worked as a Lecturer in Mathematics at the University of Dundee (2020-2021) and the University of Brighton (2021 - 2022).

What is most exciting about the Dyson Institute to me is its approach to engineering education, and to STEM education from a broader perspective. I saw being a part of an academic team that aspires to design and deliver a high quality engineering degree programme as an exciting challenge and an invaluable opportunity for myself. The opportunity to collaborate with colleagues at the Institute to develop and deliver high quality education, and with the wider Institute team on operational components of higher education such as Teaching and Learning, and Admissions is my reward. Teaching mathematics at an engineering school, (which is a part of an engineering powerhouse) allowed me to view topics that I learned purely from a mathematical perspective, also from an engineering viewpoint. This helped me to broaden my knowledge and enriched my teaching experience.

Qualifications

  • BSc in Mathematics – Istanbul Bilgi University (2009)

  • MSc in Mathematics – Sabanci University (2011), Istanbul

  • DPhil in Mathematics (specialising in model theory, a sub-branch of logic) – University of Oxford (2019)

Memberships

  • Fellow of the Higher Education Academy (FHEA) – since March 2025
  • SEDA – PDF Supporting Learning Award – 2020
  • Member of the London Mathematical Society
  • Engineering Mathematics
  • Technical Computing
  • Big Data Analysis
  • Foundations of Programming

Research

My research is mostly in pure mathematics, particularly, in the intersection of Model Theory (an area of mathematical logic) and algebraic geometry. It involves, working with fundamental geometric objects through the lens of first order theories.

Currently I am interested in Fibre Bundles in a model theoretic setting. My aim is to establish a first order language and an axiomatisation to study fibre bundles such as principal bundles through model theory. Another related interest is understanding the Zariski-like structures definable in the free group.

I am also interested in understanding the applications of fibre bundles in engineering, such as new ML/neural network models.

Publications

  • U. Efem, "Specialisations and algebraically closed fields," European Journal of Mathematics, vol. 10, p. 58, 2024. [Online]. Available: https://doi.org/10.1007/s40879-024-00764-y
  • U.Efem, B. Zilber "On the Theory of Specialisations of Regular Covers of Zariski Structures" preprint. Available: https://arxiv.org/abs/2302.08542