School of Mathematical Sciences
Faculty of Sciences, Engineering and Technology
Eligible to supervise Masters and PhD - email supervisor to discuss availability.
I am Associate Professor in Pure Mathematics. I did my PhD at Humboldt-University Berlin, held postdoc positions at Berlin and Adelaide, and worked as a Assistant Professor at the University of Hamburg before joining the University of Adelaide.
My research lies in differential geometry, which is an area of pure mathematics that deals with curved spaces (and space-times) and has applications in mathematical physics, in particular in general relativity and string theory.
- My Research
- Grants and Funding
- Professional Activities
My research lies in differential geometry where I study curved spaces (and space-times), their geometric properties, their symmetries and their relation to interesting differential equations. My research so far has focussed on Lorentzian geometry, conformal geometry and holonomy groups. Some of my research has applications in mathematical physics, in particular in general relativity and string theory.
Date Position Institution name 2020 - ongoing Associate Professor University of Adelaide 2016 - 2019 Senior Lecturer in Pure Mathematics University of Adelaide 2012 - 2016 ARC Future Fellow University of Adelaide 2009 - 2012 Lecturer in Pure Mathematics University of Adelaide 2007 - 2009 Juniorprofessor University of Hamburg 2006 - 2007 Research Associate Humboldt University of Berlin 2003 - 2006 Research Associate University of Adelaide
Language Competency English Can read, write, speak, understand spoken and peer review German Can read, write, speak, understand spoken and peer review Spanish; Castilian Can read, speak and understand spoken
Date Institution name Country Title 2004 Humboldt University of Berlin Germany Doctor rerum naturalium
Year Citation 2020 Dearricott, O., Tuschmann, W., Nikolayevsky, Y., Leistner, T., & Crowley, D. (Eds.) (2020). Differential Geometry in the Large (Vol. 463). Cambridge University Press.
2020 Dearricott, O., Tuschmann, W., Nikolayevsky, Y., Leistner, T., & Crowley, D. (Eds.) (2020). Differential Geometry in the Large (Vol. 463). Cambridge University Press.
2004 Leistner, T. (2004). Holonomy and Parallel Spinors in Lorentzian Geometry. Berlin: Logos Verlag.
Year Citation 2022 Leistner, T., & Teisseire, S. (2022). Conformal transformations of Cahen-Wallach spaces.
2021 Fino, A., Leistner, T., & Taghavi-Chabert, A. (2021). Almost Robinson geometries.
2021 Costanza, F., Eastwood, M., Leistner, T., & McMillan, B. (2021). A Calabi operator for Riemannian locally symmetric spaces.
2021 Leistner, T., & Teisseire, S. (2021). Fundamental regions for non-isometric group actions.
2020 Fino, A., Leistner, T., & Taghavi-Chabert, A. (2020). Optical geometries.
2019 Alekseevsky, D., Cortés, V., & Leistner, T. (2019). Geometry and holonomy of indecomposable cones. arXiv.
2016 Anderson, I. M., Leistner, T., Lischewski, A., & Nurowski, P. (2016). Conformal Walker metrics and linear Fefferman-Graham equations.
2007 Leistner, T. (2007). Towards a classification of Lorentzian holonomy groups. Part II: Semisimple, non-simple weak-Berger algebras. International Press.
2012-2014: ARC Discovery Project "Holonomy groups in Lorentzian geometry"
2012-2016: ARC Future Fellowship
2019-2021: ARC Discovery Project "Symmetry and geometric partial differential equations", with Michael Eastwood (Adelaide), Jonathan Kress (UNSW), and Rod Gover (Auckland)
Applications of Quantitative Methods in Finance I
Multivariable and Complex Calculus II
Groups and Rings III
Topology and Analysis III
Advanced Mathematical Perspectives III
Manifolds, Lie Groups and Lie Algebras (Honours)
Differential Geometry (Honours)
Current Higher Degree by Research Supervision (University of Adelaide)
Date Role Research Topic Program Degree Type Student Load Student Name 2022 Principal Supervisor Algebraic Aspects of Lorentzian Homogeneous Spaces Master of Philosophy Master Full Time Mr Steven James Greenwood 2022 Co-Supervisor Characterisations of Quadrics Master of Philosophy Master Full Time Mr George Savvoudis 2020 Principal Supervisor Homogeneity in Lorentzian Geometry Master of Philosophy Master Full Time Mr Daniel Aaron Franceschinis 2020 Principal Supervisor Connections in Generalized Geometry Doctor of Philosophy under a Jointly-awarded Degree Agreement with Doctorate Full Time Ms Manasa Manjunatha 2020 Co-Supervisor The Oka principle in twisted K-theory Doctor of Philosophy Doctorate Full Time Miss Haripriya Sridharan 2019 Principal Supervisor Higher Order Symmetries in Lorentzian Geometry Doctor of Philosophy Doctorate Full Time Mr Esteban Federico Costanza
Past Higher Degree by Research Supervision (University of Adelaide)
Date Role Research Topic Program Degree Type Student Load Student Name 2020 - 2021 Principal Supervisor Approximation of Higher Degree Spectra Results for Twisted Laplace Operators Master of Philosophy Master Full Time Mr Matthias Eduard Fresacher 2019 - 2021 Co-Supervisor Legendrean and G2 Contact Structures Master of Philosophy Master Full Time Mr Timothy John An Hu Moy 2019 - 2021 Principal Supervisor Symmetric Spaces, Geometric Manifolds and Geodesic Completeness Master of Philosophy Master Full Time Mr Thomas Jack Munn 2019 - 2021 Co-Supervisor Highly symmetric homogeneous Kobayashi-hyperbolic manifolds Doctor of Philosophy Doctorate Full Time Mr Elliot Herrington 2019 - 2021 Principal Supervisor Conformal group actions on Cahen-Wallach spaces Master of Philosophy Master Full Time Mr Stuart Benjamin Teisseire 2018 - 2020 Co-Supervisor Theta Functions, Gauss Sums and Modular Forms Master of Philosophy Master Full Time Mr Benjamin Terence Moore 2017 - 2020 Co-Supervisor Spaces of Holomorphic Immersions of Open Riemann Surfaces into the Complex Plane Master of Philosophy Master Part Time Miss Haripriya Sridharan 2013 - 2015 Co-Supervisor Einstein and Conformally Einstein Bi-Invariant Semi-Riemannian Metrics Master of Philosophy Master Full Time Dr Kelli Leigh Francis-Staite
Date Role Membership Country 2010 - ongoing Member Australian Mathematical Society Australia
Date Title Engagement Type Institution Country 2021 - 2021 Event Director of the AMSI Summer School in the Mathematical Sciences Scientific Community Engagement Australian Mathematical Sciences Institute and University of Adelaide Australia 2018 - 2018 Conference Director of the 62nd Annual Meeting of the Australian Mathematical Society Scientific Community Engagement University of Adelaide Australia
Date Topic Presented at Institution Country 2022 - 2022 Conformal Transformations of Cahen-Wallach spaces Pseudo-Riemannian geometry and invariants in General Relativity University of Stavanger Norway 2021 - 2021 Cauchy problems for Lorentzian manifolds with special holonomy. Part 1 Seminar on Advanced Topics in Geometric Analysis University of Regensburg Germany 2021 - 2021 Geodesic completeness of compact Lorentzian manifolds International Meeting on Lorentzian Geometry University of Cordoba Spain 2019 - 2019 Semi-Riemannian cones and their holonomy THE ABEL SYMPOSIUM 2019: Geometry, Lie Theory and Applications Norwegian Academy of Science and Letters Norway 2019 - 2019 The ambient obstruction tensor and conformal holonomy Workshop on Cartan Geometry Korea Institute for Advanced Study Korea, Republic of 2018 - 2018 The ambient obstruction tensor and conformal holonomy Conformal and Symplectic Geometry University of Auckland New Zealand 2017 - 2017 Geodesic completeness of compact Lorentzian manifolds Seminario de Geometría University of Granada Spain 2017 - 2017 Lecture series on non Riemannian holonomy Simons Semester Symmetry and Geometric Structures Institute of Mathematics of the Polish Academy of Science Poland 2016 - 2016 Cauchy problems for Lorentzian manifolds with special holonomy Geometric Flows and the Geometry of Space-time University of Hamburg Germany 2016 - 2016 Geodesic completness of compact Lorentzian manifolds with spacial holonomy 7th Pacific RIM Conference on Mathematics Seoul National University Korea, Republic of 2016 - 2016 Cauchy problems for Lorentzian manifolds with special holonomy Workshop on Analysis, Geometry and Mathematical Relativity Monash University Australia
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