Dr Leyu Han BSc PhD

Dr Leyu Han

School of Mathematics
EPSRC Research Fellow

Contact details

School of Mathematics
Watson Building
University of Birmingham
B15 2TT

Leyu Han is a Research Fellow in Pure Mathematics in the School of Mathematics. Her research interests lie in Lie algebras, Lie superalgebras and their representations. She started her position in 2021, after completing her PhD at the University of Birmingham in November 2020.

She is currently working on an exciting project on the structure theory of simple Lie superalgebras, as a continuation of the results in her PhD. She is also a part of the Algebra Group here at the University of Birmingham.


  • PhD in Pure Mathematics, University of Birmingham, 2020
  • BSc in Mathematics with Business Management, University of Birmingham, 2016


Leyu Han received her Bachelor of Science with first class honours at the University of Birmingham in 2016. She was awarded the Distinguished Alumni Scholarship that same year to pursue an MRes in Pure Mathematics under the supervision of Dr Simon Goodwin.

Due to her excellent performance both in taught and research modules, she successfully transferred from the MRes programme onto the fast-track PhD programme. From 2017 to 2020, she was awarded a Birmingham Doctoral Scholarship to support her PhD study. She graduated in 2020, after submitting her thesis entitled 'Centres of Centralizers of Nilpotent Elements in Simple Lie Superalgebras'.

Leyu worked as a teaching associate from 2016 to 2020, demonstrated undergraduate mathematics support classes and provided feedback to student dissertations.

In 2021, she was awarded an EPSRC research fellowship, held at the University of Birmingham.


Research Themes

  • Lie algebras
  • Lie superalgebras
  • Representation Theory

Research Activity

Leyu's research focuses on the study of the structure of simple Lie superalgebras. She is currently interested in investigating the nilpotent orbits in Lie superalgebras and determining whether these orbits satisfy similar properties to those in the case of Lie algebras.


Recent publications


Han, L 2021, 'Centers of centralizers of nilpotent elements in exceptional Lie superalgebras', Journal of Algebra and Its Applications, vol. 21, no. 03, 2250053. https://doi.org/10.1142/S0219498822500530

Han, L 2020, 'Centers of centralizers of nilpotent elements in Lie superalgebras sl(m|n) or osp(m|2n)', Journal of Algebra and Its Applications, vol. 22, no. 01. <https://arxiv.org/abs/2203.04190>

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