Dr Ai Guan PhD

Dr Ai Guan

School of Mathematics
Teaching Fellow

Contact details

School of Mathematics
Watson Building
University of Birmingham
B15 2TT

Dr Ai Guan is an algebraic topologist and a Teaching Fellow in the School of Mathematics.

For more information, see Ai’s personal webpage.


  • PhD in Mathematics, Lancaster University, 2021
  • MSci in Mathematics, Imperial College London, 2016


Ai obtained an MSci in Mathematics from Imperial College London and went on to complete her PhD at Lancaster University in 2021 under the supervision of Andrey Lazarev.

She stayed at Lancaster as a postdoc until April 2022 before moving to the University of Seville, Spain for a further postdoc.

In January 2023, Ai joined the School of Mathematics in Birmingham as a Teaching Fellow and is part of the Geometry and Mathematical Physics group.


Semester 1

LH Metric Spaces and Topology

Semester 2

LH/LM Algebraic and Differential Topology


Research Themes

  • Homological and homotopical algebra
  • Derived deformation theory
  • Category theory


Selected papers

Fu, X., Guan, A., Livernet, M., Whitehouse, S. (2022), Model category structures on multicomplexes, Topology and its Applications, Article 108104

Guan, A., Lazarev, A. (2021), Koszul duality for compactly generated derived categories of second kind, Journal of Noncommutative Geometry, 15(4): 1355–1371

Guan, A. (2021), Gauge equivalence for complete L-infinity-algebras, Homology, Homotopy and Applications, 23(2): 283–297