I am a PhD student and Casual Academic Tutor at the University of Sydney, researching the mathematical field of Kähler-Ricci flow.
Office: 807, Carslaw Building, School of Mathematics and Statistics, The University of Sydney, Camperdown, 2006, NSW, Australia
Email: alexander.bednarek@sydney.edu.au
Research Interests: Kähler-Ricci flow, Analytic Minimal Model Program, complex Monge-Ampere equations, Kähler-Einstein metrics, Kähler geometry
Mar 2023 - Present
Degree: Doctor of Philosophy (Science)
Institute: University of Sydney
Supervisors: A/Prof. Zhou Zhang , Dr. Haotian Wu
PhD Thesis: On Finite Time Singularities of the Kähler-Ricci Flow
Feb 2019 - Dec 2022
Degree: Bachelor of Advanced Mathematics (Honours)
Major: Pure Mathematics
Institute: University of New South Wales
Supervisor: Dr. Behrouz Taji
Honours Thesis: Canonical Metrics in Complex Geometry
Preprint(s)
arXiv:2609.06451
Conference Article (Submitted)
arXiv:2512.21910
arXiv:2512.21904
Published
Advances in Mathematics, 480A, 110465
Peking University
2 May 2026 - 31 May 2026
Host: Prof. Xiaohua Zhu
Chinese Academy of Sciences, Peking University (BICMR), Capital Normal University
1 Mar 2025 - 1 Jun 2025
Hosts: A/Prof. Wangjian Jian , Prof. Gang Tian , Prof. Zhenlei Zhang
Sep 2026, Macquarie University
Australian Geometric PDE Workshop
On Miyaoka-Yau Inequalities and Weil-Petersson Metrics
Jul 2026, University of Queensland
AMSI Winter School
On Miyaoka-Yau Inequalities for Kähler Manifolds
May 2026, Zhuhai, Guangdong, China
Workshop on Geometric Analysis 2026
Fano Fibrations, Twisted Kähler-Einstein Metrics and the Kähler-Ricci Flow
Mar 2026, University of Sydney
PDE Seminar
On the Convergence of the Kähler-Ricci Flow to Singular Kähler Metrics
Feb 2026, MATRIX, VIC, Australia
Analytic and Geometric Methods on Complex Manifolds
Consequences of Volume Form Collapsing For Finite Time Kähler-Ricci Flows
Dec 2025, La Trobe University
The 69th Annual Meeting of the Australian Mathematical Society
Fano Fibrations, Twisted Kähler-Einstein Metrics and the Kähler-Ricci Flow
May 2025, Chinese Academy of Sciences
Academic Report Seminar
Fano Fibrations and Twisted Kähler-Einstein Metrics
May 2025, Peking University (BICMR)
Professor Tian's Student Seminar
On the Collapsing Behaviour of the Kähler-Ricci Flow
May 2025, Capital Normal University
70th Anniversary Academic Series of the School of Mathematical Sciences
L^p Spacetime Estimates and the Kähler-Ricci Flow
Dec 2024, University of Auckland
Joint Meeting of the NZMS, AustMS and AMS
Global Ricci Curvature Behaviour in the Kähler-Ricci Flow with Finite Time Singularities
Jul 2024, University of Sydney
Mathematical Postgraduate Seminar
Global Ricci Curvature Behaviour in the Kähler-Ricci Flow with Finite Time Singularities
Oct 2023, University of Sydney
Mathematical Postgraduate Seminar
Scalar Curvature in the Kähler-Ricci Flow
Nov 2022, University of New South Wales
Pure Mathematics Honours Talks II
Canonical Metrics in Complex Geometry
As a Casual Academic Tutor, I have been involved in teaching tutorials, marking exams and assignments, and providing learning support to students in the following courses.
Semester 2, 2026:
MATH2023 Analysis
MATH2923 Analysis (Advanced)
Semester 1, 2026:
MATH1961 Mathematics 1A (Advanced) (Calculus) (Linear Algebra)
MATH2021 Vector Calculus and Differential Equations
MATH2921 Vector Calculus and Differential Equations (Advanced)
Semester 2, 2025:
MATH1061 Mathematics 1A (Calculus) (Linear Algebra)
MATH2023 Analysis
MATH2923 Analysis (Advanced)
MATH3968/MATH4068 Differential Geometry (Advanced)
Semester 1, 2025:
MATH2021 Vector Calculus and Differential Equations
Semester 2, 2024:
MATH1062 Mathematics 1B (Multivariable Calculus)
MATH2023 Analysis
MATH3968/MATH4068 Differential Geometry (Advanced)
Semester 1, 2024:
MATH1050 Mathematics Toolbox For Science
MATH1061 Mathematics 1A (Calculus) (Linear Algebra)
MATH2921 Vector Calculus and Differential Equations (Advanced)
Semester 2, 2023:
MATH1002 Linear Algebra
MATH1004 Discrete Mathematics