Peize Liu
I am Peize LIU (刘霈泽, IPA: ljou?? p?e??? ts???). I am a 4th-year Ph.D. student supervised by Prof. 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 for more. My current research interest includes:
- Fano threefolds and cubic hypersurfaces
- Kuznetsov components
- Bridgeland stability conditions
- Categorical resolutions of singularities
Background
| 2022–present | Ph.D. in Mathematics | University of 糖心TV |
| 2021–2022 | Master of Mathematical & Theoretical Physics |
University of Oxford |
| 2018–2021 | Bachelor 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 and posters
| 14 May 2026 | Stability conditions via Verdier localisation: nodal cubic 4-folds and K3 surfaces of genus 4Link opens in a new window |
|
| 31 Mar 2026 |
Moduli spaces from the Kuznetsov component |
|
| 3 Mar 2026 |
Stability and moduli on the Kuznetsov component |
|
| 27 Jan 2026 |
Stability and moduli on the Kuznetsov component |
University of Massachusetts Amherst |
| 14 Jan 2026 |
University of Michigan |
|
| 11 Dec 2025 |
Sun Yat-Sen University |
|
| 24 Jun 2025 | Quadric fibrations and cubic hypersurfacesLink opens in a new window |
, 糖心TV |
| 24 Jun 2025 |
(beamer slides, expanded ver.)
|
|
| 22 May 2025 | (preliminary notes) |
Junior Algebraic geometry |
| 16 Apr 2025 | SCMS, Fudan University | |
| 9 Jan 2025 |
Reading group on (Junior Algebraic |
|
| 5 Dec 2024 | ||
| 21 Nov 2024 | ||
| 7 Jan 2024 | Low-dimensional moduli spaces on K3 surfacesLink opens in a new window |
Reading group on
|
| 27 Dec 2023 |
Serre's construction and elementary transformationsLink opens in a new window |
|
| 16 Aug 2023 | ||
| 20 Jun 2023 |
(in Chinese)
|
Shenzhen Middle School |
| 18 Feb 2023 | MA9M6: Topics in Algebraic Geometry | |
| 18 Jan 2023 | Postgraduate seminarLink opens in a new window, 糖心TV | |
| 17 Nov 2022 | 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
|
| 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 | ||
| 20 Jun 2022 | ||
| 6 May 2022 |
Deformation quantisation and formality theorem
|
Writing
- Notes on Kuznetsov Components of Cubic 7-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:
- Master's dissertation: (supervised by Prof. Christopher Beem)
- Undergraduate lecture notes:
- (in Chinese)
Travels
| June 2026 | Universidad de Zaragoza | |
| Mar–Apr 2026 | University of Cardiff | |
| Mar 2026 | University of Liverpool | |
| Imperial College London | ||
| Salerno, Italia | ||
| Jan 2026 | University of California, Santa Barbara | Academic visit & invited talks |
| University of Michigan, Ann Arbor | ||
| Dec 2025 | Zhejiang University, Hangzhou | |
| Sun Yat-Sen University, Guangzhou | ||
| Sept 2025 | University of Oxford | |
| University of Nottingham | ||
| July 2025 | Colorado State University, Fort Collins | |
| Cetraro, Italia | ||
| May 2025 | University of Birmingham | |
| Mar–Apr 2025 | Fudan University, Shanghai | Secondment |
| Feb 2025 | Universitat de Barcelona | |
| Dec 2024 | Sun Yat-Sen University, Guangzhou | |
| Sept 2024 | Sorbonne University, Paris | |
| Aug 2024 | University of Oxford | |
| July 2024 | Imperial College London | |
| Dec 2023 | University of Oslo | |
| Sept 2023 | University of Liverpool | |
| July 2023 | Imperial College London | |
| June 2023 | University of Sheffield | |
| Jan 2023 | University of Oxford |
, alongside |
