Lucas Lavoyer
I am a third-year PhD student working under the supervision of Professor Felix SchulzeLink opens in a new window.
My research interests are differential geometry, partial differential equations, and geometric analysis. Currently, I am working on Ricci flow from singular initial data.
In 2021-22, I co-organised (with Sunny SoodLink opens in a new window) the Postgraduate seminar.Link opens in a new window
Preprints/Publications:
- Ricci flow from spaces with edge type conical singularities (2023) [arXiv:2305.00344Link opens in a new window]
Talks:
- Smoothing out singular spaces via Ricci flow - London Geometric Analysis Reading Seminar (2020)
- An introduction to Ricci flow - Postgraduate seminar, Warwick (2021)
- Extension of Munteanu-Wang’s Monotonicity Formula - London Geometric Analysis Reading Seminar (2021)
- Ricci flow from spaces with edge type conical singularities - Differential geometry PhD seminar, Munster (May 2023)
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Ricci flow from spaces with edge type conical singularities - Institut de mathématiques de Jussieu – Paris Rive Gauche (June, 2023)
Teaching:
- 2021-22 (term 1): TA for Advanced PDEs,Link opens in a new window
- 2021-22 (term 2): TA for Geometry of Curves and SurfacesLink opens in a new window and Introduction to Partial Differential Equations,Link opens in a new window
- 2021-22 (term 3): Marker for the Measure TheoryLink opens in a new window exam,
- 2022-23 (term 1): TA for Functional Analysis I,Link opens in a new window
- 2022-23 (term 2): TA for Geometry of Curves and Surfaces. Link opens in a new window
- 2022-23 (term 3): Marker for Functional Analysis I.Link opens in a new window