Kayvan Nejabati Zenouz

Dr Kayvan Nejabati Zenouz PhD, MMATH, FHEA

Lecturer in Mathematics

Kayvan is a Lecturer in Mathematics at the School of Computing and Mathematical Sciences. He joined the University of Greenwich in 2019, having previously gained experience from working in academia and industry through holding roles including teaching fellow in mathematics and statistics at Oxford Brooke's University, pricing analyst (R programmer) at ERV Travel Insurance, and postdoctoral research associate in Algebra and Number Theory group at the University of Edinburgh.

Current main research activities of Kayvan are in areas of abstract algebra with applications to number theory and theoretical physics. He obtained his PhD in 2018, form the University of Exeter, under the supervision of Prof Nigel Byott. Soon after completing his PhD, Kayvan joined the University of Edinburgh to work with Prof Agata Smoktunowicz on her ERC advanced grant. Kayvan holds a secondary research interest in applied statistics and data science.

Teaching responsibilities: Module Leader for
MATH1166 Problem-Solving and Mathematical Thinking
MATH1172 Vector Calculus and Number Theory
MATH1180 Computational Methods and Numerical Techniques
Skills Week Industrial Workshop: Data Analytics Software
Development via RShiny and RMarkdown

Qualifications:
PhD Pure Mathematics, MMATH

Responsibilities within the university

Module Leader for
MATH1166 Problem-Solving and Mathematical Thinking
MATH1172 Vector Calculus and Number Theory
MATH1180 Computational Methods and Numerical Techniques
Skills Week Industrial Workshop: Data Analytics Software
Development via RShiny and RMarkdown

Recognition

Reviewer: Journal of Algebra

Memberships:

London Mathematical Society

Fellow of the Higher Education Academy (Postgraduate Certificate for Teaching in Higher Education)

Research / Scholarly interests

Kayvan's main research area is in algebraic number theory and applying methods of algebra, in particular group theory, to solving problems relating to the extensions of number fields.
His research also has applications in certain areas of mathematical physics, and in particular to finding solutions of the Yang-Baxter equation.
In his PhD Kayvan classified all Hopf-Galois structures and skew braces of order p
3 for a prime number p through intricate group theoretic calculations.
This classification has vast applications in Galois module theory of p-extensions of fields, at the same time it extends to provide a large family of set-theoretic solutions of the quantum Yang-Baxter equation.

Alongside algebra, Kayvan holds a secondary interest in research in statistics and data science.
In a collaborative publication he applied statistical modelling techniques in order to quantify the uncertainty in a NASA satellite's remote sensing measurements.
Kayvan also has experience of designing data analytic tools, and in particular RShiny applications, for improving business performance in the industry.

Recent publications

Article

Puljić, Dora , Smoktunowicz, Agata, Nejabati Zenouz, Kayvan (2022), Some braces of cardinality p4 and related Hopf-Galois extensions. [Albany NY]: State University of New York. In: , , , . [Albany NY]: State University of New York, New York Journal of Mathematics, 28 . pp. 494-522 ISSN: 1076-9803 (Print), (doi: http://nyjm.albany.edu/j/2022/28-19v.pdf).

Nejabati Zenouz, Kayvan and , (2019), Skew braces and Hopf–Galois structures of Heisenberg type. Elsevier. In: , , , . Elsevier, Journal of Algebra, 524 . pp. 187-225 ISSN: 0021-8693 (Print), (doi: https://doi.org/10.1016/j.jalgebra.2019.01.012).

Land, Peter E. , Bailey, Trevor C., Taberner, Malcolm, Pardo, Silvia , Sathyendranath, Shubha , Nejabati Zenouz, Kayvan , Brammall, Vicki , Shutler, Jamie D. , Quartly, Graham D. (2018), A statistical modeling framework for characterising uncertainty in large datasets: Application to ocean colour. MDPI. In: , , , . MDPI, Remote Sensing, 10: 695 (5) 2072-4292 (Online) (doi: https://doi.org/10.3390/rs10050695).