Peize Liu

I am Peize LIU (刘霈泽, IPA: ljou˧˥ pʰeɪ˥˩ tsɤ˧˥). I am a 4th-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

21 Jan 2026	(scheduled)	University of Michigan
Dec 2025	Bridgeland stability on Kuznetsov components via quadric fibrations (scheduled)	Sun Yat-Sen University
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 on Kuznetsov components Link opens in a new window 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 on Kuznetsov components 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
5 Aug 2022	Serre functors and Grothendieck–Verdier duality
1 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
6 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

0 page comments