About

I am Peize LIU (刘霈泽, IPA: ljou˧˥ pʰeɪ˥˩ tsɤ˧˥). I am a third-year Ph.D. student supervised by Dr. Chunyi LiLink opens in a new window. Currently I work in algebraic geometry, though I have a wide interest across geometry, category theory, and mathematical physics. You can explore my peronsal webpageLink opens in a new window for more.

Background

2018–2021	B.A. in Mathematics	University of Oxford
2021–2022	Master of Mathematical & Theoretical Physics	University of Oxford

Teaching

2023–2024	MA3G6 Commutative AlgebraLink opens in a new window	Teaching Assistant
2023–2024	MA4J7 Cohomology and Poincaré DualityLink opens in a new window	Teaching Assistant
2024–2025	MA3D5 Galois TheoryLink opens in a new window	Teaching Assistant
2024–2025	MA4E0 Lie GroupsLink opens in a new window	Teaching Assistant

Inactive Reading Groups

• In Aug 2023, I am organising a reading group on The Geometry of Moduli Spaces of Sheaves by Huybrechts and Lehn. See this page for the information.

Talks and Activities

• In Autumn 2024, the JAWSLink opens in a new window (Junior Algebraic geometry Warwick Seminar) is organising a reading group on geometric invariant theoryLink opens in a new window. I gave three talks: moduli of vector bundles ILink opens in a new window, moduli of hypersurfacesLink opens in a new window, and Kirwan blow-upLink opens in a new window.
• In Jan 2023, I gave a talk on the introduction to deformation quantisation and formalityLink opens in a new window in the postgraduate seminarLink opens in a new window of Warwick.
• In Nov 2022, I gave a talk about descent for quasi-coherent sheavesLink opens in a new window in a reading group on descent theoryLink opens in a new window.
• In the summer of 2022, my friends and I organised a reading group on homological mirror symmetryLink opens in a new window. I gave an introductory talk, a string-theoretic introduction to mirror symmetryLink opens in a new window, a talk on A-infinity algebrasLink opens in a new window, and several talks on the derived category of coherent sheavesLink opens in a new window.

Writings

• Ph.D. second-year report: Categorical Resolutions and the Kuznetsov Components of Cubic 5-folds
• Ph.D. first-year report: Fano 3-Folds of Picard Rank 1: Classification & Semi-Orthogonal DecompositionsLink opens in a new window
• Master's dissertation: Deformation Quantisation via Kontsevich's Formality TheoremLink opens in a new window (supervised by Prof. Christopher Beem)
• Undergraduate lecture notes:
  • Algebraic SurfacesLink opens in a new window
  • Algebraic CurvesLink opens in a new window
  • Linear Functional AnalysisLink opens in a new window
  • Undergraduate Algebra (Rings and Modules)Link opens in a new window
  • Representation Theory of Finite GroupsLink opens in a new window (in Chinese)
  • Complex AnalysisLink opens in a new window

Email: Peize.Liu@warwick.ac.ukLink opens in a new window.

Curriculum VitaeLink opens in a new window

Personal Webpage:

sites.google.com/view/lpz-webLink opens in a new window