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 pro-representability, 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.