Peize Liu

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. 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. My current research interest broadly includes:

Fano threefolds and cubic hypersurfaces
Kuznetsov components
Bridgeland stability conditions
Categorical resolutions of singularities

Background

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

Teaching

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

Talks

24 Jun 2025	Quadric fibrations and cubic hypersurfacesLink opens in a new window	AG Learning SeminarLink opens in a new window, Warwick
24 Jun 2025	Bridgeland stability via quadric fibrationsLink opens in a new window (beamer slides, expanded version)	Derived Obsessed Graduate StudentsLink opens in a new window
22 May 2025	Bridgeland stability via quadric fibrationsLink opens in a new window	Junior Algebraic geometry Warwick SeminarLink opens in a new window
16 Apr 2025		SCMS, Fudan
9 Jan 2025	Kirwan's blow-up and moduli of cubicsLink opens in a new window	Reading group on Geomemtric Invariant TheoryLink opens in a new window (Junior Algebraic geometry Warwick Seminar)
5 Dec 2024	Moduli of hypersurfacesLink opens in a new window
21 Nov 2024	Moduli of vector bundles ILink opens in a new window
7 Jan 2024	Low-dimensional moduli spaces on K3 surfacesLink opens in a new window	Reading group on moduli of sheavesLink opens in a new window
27 Dec 2023	Serre's construction and elementary transformationsLink opens in a new window
16 Aug 2023	Stability & Harder–Narasimhan filtrationLink opens in a new window
20 Jun 2023	From the shape of doughnuts to abstract mathematicsLink opens in a new window (in Chinese)	Shenzhen Middle School
18 Feb 2023	Du Val singularitiesLink opens in a new window	MA9M6: Topics in Algebraic Geometry
18 Jan 2023	Deformation quantisation and formalityLink opens in a new window	Postgraduate seminarLink opens in a new window, Warwick
17 Nov 2022	Descent for quasi-coherent sheavesLink opens in a new window	Reading group on descent theoryLink opens in a new window
22 Aug 2022	Beilinson's resolution of diagonal and semi-orthogonal decompositions	Reading group on homological mirror symmetryLink opens in a new window
10 Aug 2022	Bondal–Orlov reconstruction and Fourier–Mukai transforms
05 Aug 2022	Serre functors and Grothendieck–Verdier duality
01 Aug 2022	Derived categories of coherent sheaves
29 July 2022	Derived functors via derived categories
29 Jun 2022	A-infinity algebrasLink opens in a new window
20 Jun 2022	String-theoretic introduction to mirror symmetryLink opens in a new window
06 May 2022	Deformation quantisation and formality theorem

Writing

Notes on Kuznetsov Components of Cubic 7-foldsLink opens in a new window
Stability Conditions and Moduli Spaces on Kuznetsov Components of Cubic 5-foldsLink opens in a new window, arXiv: 2509.21454
Ph.D. second-year report: Categorical Resolutions and the Kuznetsov Components of Cubic 5-foldsLink opens in a new window
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:

Travelling

Sept 2025	University of Oxford	2025 CRC - Hodge Theory and Algebraic CyclesLink opens in a new window
Sept 2025	University of Nottingham	VII BrAG meetingLink opens in a new window
July 2025	Colorado State University, Fort Collins	2025 Summer Research Institute in Algebraic GeometryLink opens in a new window
July 2025	Cetraro, Italia	Workshop on Derived Categories, NoncommutativeLink opens in a new window Geometry and Deformation TheoryLink opens in a new window
May 2025	University of Birmingham	COW SeminarLink opens in a new window
Mar–Apr 2025	Fudan University, Shanghai	Secondment
Feb 2025	Universitat de Barcelona	Birational Geometry: from moduli to geographyLink opens in a new window
Dec 2024	Sun Yat-Sen University, Guangzhou	China Southeastern Algebraic Geometry Symposium VIILink opens in a new window
Sept 2024	Sorbonne University, Paris	DT theory and derived categoriesLink opens in a new window
Aug 2024	University of Oxford	Y-RANT VILink opens in a new window
July 2024	Imperial College London	LMS Invited Lectures 2024Link opens in a new window
Dec 2023	University of Oslo	Stability and Enumerative Geometry Workshop 2023Link opens in a new window
Sept 2023	University of Liverpool	GLEN Workshop on Stability Conditions and related topicsLink opens in a new window
July 2023	Imperial College London	Derived Categories, Moduli Spaces, and Counting InvariantsLink opens in a new window
June 2023	University of Sheffield	GLEN workshop: Derived Categories, Hodge theory and SingularitiesLink opens in a new window
Jan 2023	University of Oxford	Quivers, Clusters, Moduli and StabilityLink opens in a new window, alongside Algebraic Geometry, Gauge Theory and the Swampland ConjecturesLink 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

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