Kian Lush
Office: B2.01
Email: Kian.Lush@warwick.ac.uk
Hello! I'm Kian Lush and I'm a second year PhD student in the Maths CDT. I am interested in Algebraic Topology, in particular Equivariant Stable Homotopy Theory. My supervisor is Prof John GreenleesLink opens in a new window.
Specifically, I'm interested in whether the algebraic models for rational G-spectra capture the smash product. That is, can we construct a derived tensor product on these algebraic models which calculate the smash product of rational G-spectra? At the moment, I'm studying 2-torus-equivariant complex projective spaces, i.e. spaces of lines in finite dimensional complex representations of the 2-torus group T2=U(1)xU(1). The idea is that complex projective spaces are examples of flat objects in the model for rational S1-spectra. So one hopes this fact extends to other groups and that this can give us a way to understand flat objects in general.
Upcoming Talks:
- An Introduction to Rational Equivariant Stable Homotopy TheoryLink opens in a new window - Postgraduate Seminar, University of Warwick (November 2026)
Education:
- 2025-Present: PhD in Mathematics, University of Warwick
- 2021-25: MSc in Natural Sciences, Durham University
My Fourth Year ProjectLink opens in a new window was on Differential Forms and de Rham Cohomology and was supervised by Dr Martin KerinLink opens in a new window.
Teaching:
- 2024-25: Undergraduate Tutor for Calculus I and Linear Algebra I at Durham University.
Conferences Attended:
- TTT123, University of Warwick (December 2025)
- New Perspectives in Stable Homotopy and Beyond, MPIM (September 2026)
- Contributed Short "Gong Show" Talk: "Complex Projective Spaces in Rational S1-Equivariant Stable Homotopy Theory"
- 39th British Topology Meeting, University of Oxford (October 2026)