Teaching Fellow
I am a Teaching Fellow at the University of Birmingham School of Mathematics.
Previously, I was a postdoctoral researcher in the
Department of Algebra
at the University of Seville,
working with
Fernando Muro.
Before that, I was at
Lancaster University,
where I was an EPSRC Senior Research Associate, earlier a
London Mathematical Society Early Career
Fellow,
and even earlier, a PhD student supervised by
Andrey Lazarev,
graduating in August 2021.
Here is my thesis.
Research Interests:
I am interested in homotopical and homological algebra, and their applications to related areas such as category
theory, representation theory and derived deformation theory.
Specific things I have worked on include: Koszul duality and prorepresentability, Hochschild (co)homology
of dg categories, derived categories, model category structures, homotopy algebras.
Papers

Model category structures on multicomplexes
(with
Xin Fu,
Muriel Livernet
and
Sarah Whitehouse)
Topology and its Applications, 316, Article 108104, 2022.

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

Gauge equivalence for complete $L_{\infty}$algebras
Homology, Homotopy and Applications, 23(2), pp. 283–297, 2021.

Review of deformation theory I: concrete formulas for deformations of algebraic structures
(with Andrey Lazarev,
Yunhe Sheng
and
Rong Tang)
Advances in Mathematics (China), 49(3), pp. 257–277, 2020.

Review of deformation theory II: a homotopical approach
(with Andrey Lazarev,
Yunhe Sheng
and
Rong Tang)
Advances in Mathematics (China), 49(3), pp. 278–298, 2020.
Conferences
★ denotes events that I have spoken at, or plan to speak at.

★ British Topology Meeting 36,
Sheffield, UK; 5–8 September 2023.

★ Conference on Motivic and Equivariant Topology,
Swansea, UK; 15–17 May 2023.

Interactions and Applications of Homotopical Algebra and Geometry,
Luxembourg; 14–16 November 2022.

British Mathematical Colloquium,
online; 6–9 April 2021.

Additive categories between algebra and functional analysis,
online; 1–5 March 2021.

★ Topics in Category Theory: A Spring School,
Edinburgh, UK; 11–13 March 2020.

British Topology Meeting 34,
Warwick, UK; 16–18 September 2019.

★ Women
in Topology III,
Hausdorff Institute, Bonn, Germany; 26–30 August 2019.

★ Early Career Topology Researchers,
Sheffield, UK; 6–7 June 2019.

Deformation Theory and Homotopy Algebra,
Emei, China; 6–11 May 2019.

British Mathematical Colloquium,
Lancaster, UK; 8–11 April 2019.

Homotopy algebras,
deformation theory and quantization,
Będlewo, Poland; 16–22 September 2018.

★ Young Researchers in Mathematics,
Southampton, UK; 23–26 July 2018.

★ Young Topologists Meeting,
Copenhagen, Denmark; 9–13 July 2018.

Rational
Homotopy and its Applications,
Lille, France; 18–19 January 2018.

★ British
Topology Meeting 32,
Leicester, UK; 6–8 September 2017.

School on Deformation Theory,
Turin, Italy; 5–8 July 2017.