Associate Professor Thomas Leistner

• Appointments

  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 Competencies

  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

• Education

  Date	Institution name	Country	Title
  2004	Humboldt University of Berlin	Germany	Doctor rerum naturalium

• Research Interests

  Algebraic and Differential Geometry Algebraic Structures in Mathematical Physics Group Theory and Generalisations Lie Groups, Harmonic and Fourier Analysis Pure Mathematics

• Journals

  Year	Citation
  2024	Leistner, T., & Teisseire, S. (2024). Fundamental regions for non-isometric group actions. Geometriae Dedicata, 218(5), 95-1-95-13. DOI
  2024	Cortés, V., & Leistner, T. (2024). Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations. Symmetry, Integrability and Geometry: Methods and Applications, 20, 084-1-084-12. DOI
  2024	Anderson, I. M., Leistner, T., Lischewski, A., & Nurowski, P. (2024). Conformal Walker metrics and linear Fefferman-Graham equations. Communications in Analysis and Geometry, 32(3), 693-749. DOI
  2023	Leistner, T., & Munn, T. (2023). Completeness of certain compact Lorentzian locally symmetric spaces. Comptes Rendus Mathematique (Academie des Sciences), 361(1), 819-824. DOI
  2023	Fino, A., Leistner, T., & Taghavi-Chabert, A. (2023). Almost Robinson geometries. Letters in Mathematical Physics, 113(3), 56-1-56-103. DOI Scopus4
  2023	Alekseevsky, D., Cortés, V., & Leistner, T. (2023). Geometry and holonomy of indecomposable cones. Revista Matemática Iberoamericana, 39(3), 1105-1141. DOI
  2020	Anderson, I. M., Leistner, T., & Nurowski, P. (2020). Explicit ambient metrics and holonomy. Journal of Differential Geometry, 114(2), 193-242. DOI
  2020	Francis-Staite, K., & Leistner, T. (2020). Conformal properties of indefinite bi-invariant metrics. Transformation Groups, 3(3), 1-34. DOI Scopus1
  2019	Gover, A., & Leistner, T. (2019). Invariant prolongation of the Killing tensor equation. Annali di Matematica Pura ed Applicata, 198(1), 307-334. DOI Scopus5 WoS3
  2017	Leistner, T., & Lischewski, A. (2017). The ambient obstruction tensor and conformal holonomy. Pacific Journal of Mathematics, 290(2), 403-436. DOI Scopus2
  2017	Leistner, T., Nurowski, P., & Sagerschnig, K. (2017). New relations between G₂ geometries in dimensions 5 and 7. International Journal of Mathematics, 28(13), 1750094-1-1750094-46. DOI Scopus7 WoS5
  2017	Leistner, T., & Lischewski, A. (2017). Hyperbolic evolution equations, lorentzian holonomy, and riemannian generalised killing spinors. Journal of Geometric Analysis, 29(1), 33-82. DOI Scopus6 WoS3
  2016	Globke, W., & Leistner, T. (2016). Locally homogeneous pp-waves. Journal of Geometry and Physics, 108, 83-101. DOI Scopus6 WoS5
  2016	Baum, H., Leistner, T., & Lischewski, A. (2016). Cauchy problems for Lorentzian manifolds with special holonomy. Differential Geometry and Its Applications, 45, 43-66. DOI Scopus10 WoS5
  2016	Leistner, T., & Schliebner, D. (2016). Completeness of compact Lorentzian manifolds with abelian holonomy. Mathematische Annalen, 364(3-4), 1469-1503. DOI Scopus26 WoS16
  2014	Alt, J., Di Scala, A., & Leistner, T. (2014). Conformal holonomy, symmetric spaces, and skew symmetric torsion. Differential Geometry and Its Applications, 33(Suppl.), 4-43. DOI Scopus3 WoS3
  2014	Baum, H., Lärz, K., & Leistner, T. (2014). On the full holonomy group of Lorentzian manifolds. Mathematische Zeitschrift, 277(3-4), 797-828. DOI Scopus17 WoS13
  2012	Leistner, T., & Nurowski, P. (2012). Ambient metrics with exceptional holonomy. Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, 11(2), 407-436. DOI Scopus18 WoS17
  2012	Leistner, T., & Nurowski, P. (2012). Conformal pure radiation with parallel rays. Classical and Quantum Gravity, 29(5), 055007-1-055007-15. DOI Scopus13 WoS12
  2011	Di Scala, A., & Leistner, T. (2011). Connected subgroups of SO(2,n) acting irreducibly on ℝ²,ⁿ. Israel Journal of Mathematics, 182(1), 103-121. DOI Scopus14 WoS12
  2011	Cortes, V., Leistner, T., Schafer, L., & Schulte-Hengesbach, F. (2011). Half-flat structures and special holonomy. Proceedings of the London Mathematical Society, 102(1), 113-158. DOI Scopus36 WoS35
  2010	Galaev, A., & Leistner, T. (2010). On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines. Classical and Quantum Gravity, 27(22), 1-16. DOI Scopus16 WoS14
  2010	Leistner, T., & Nurowski, P. (2010). Ambient metrics for n-dimensional pp-waves. Communications in Mathematical Physics, 296(3), 881-898. DOI Scopus24 WoS22
  2009	Alekseevsky, D., Cortes, V., Galaev, A., & Leistner, T. (2009). Cones over pseudo-Riemannian manifolds and their holonomy. Journal fur die Reine und Angewandte Mathematik, 635(635), 23-69. DOI Scopus56 WoS50
  2007	Leistner, T. (2007). On the classification of Lorentzian holonomy groups. Journal of Differential Geometry, 76(3), 423-484. DOI Scopus65 WoS54
  2007	Armstrong, S., & Leistner, T. (2007). Ambient connections realising conformal Tractor holonomy. Monatshefte fur Mathematik, 152(4), 265-282. DOI Scopus6 WoS7
  2006	Leistner, T. (2006). Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds. Differential Geometry and its Applications, 24(5), 458-478. DOI Scopus38 WoS38
  2006	Leistner, T. (2006). Screen bundles of Lorentzian manifolds and some generalisations of pp-waves. Journal of Geometry and Physics, 56(10), 2117-2134. DOI Scopus24 WoS26

• Books

  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. DOI
  2020	Dearricott, O., Tuschmann, W., Nikolayevsky, Y., Leistner, T., & Crowley, D. (Eds.) (2020). Differential Geometry in the Large (Vol. 463). Cambridge University Press. DOI
  2004	Leistner, T. (2004). Holonomy and Parallel Spinors in Lorentzian Geometry. Berlin: Logos Verlag.

• Book Chapters

  Year	Citation
  2018	Leistner, T., & Baum, H. (2018). Lorentzian Geometry: Holonomy, Spinors, and Cauchy Problems. In V. Cortés, K. Kröncke, & J. Louis (Eds.), Geometric Flows and the Geometry of Space-time (Vol. 2, pp. 1-76). Switzerland: Birkhäuser. DOI
  2010	Galaev, A., & Leistner, T. (2010). Recent developments in pseudo-Riemannian holonomy theory. In Handbook of Pseudo-Riemannian Geometry and Supersymmetry (pp. 581-627). Zurich, Switzerland: European Mathematical Society Publishing House. DOI
  2010	Di Scala, A., Leistner, T., & Neukirchner, T. (2010). Geometric applications of irreducible representations of Lie groups. In Handbook of Pseudo-Riemannian Geometry and Supersymmetry (pp. 629-651). Zurich, Switzerland: European Mathematical Society Publishing House. DOI
  2008	Galaev, A., & Leistner, T. (2008). Holonomy groups of Lorentzian manifolds: classification, examples, and applications. In D. Alekseevsky, & H. Baum (Eds.), Recent Developments in Pseudo-Riemannian Geometry (pp. 53-96). Zurich, Switzerland: European Mathematical Society Publishing House.

• Conference Papers

  Year	Citation
  2022	Leistner, T. (2022). Semi-Riemannian cones. In S. Hervik, B. Kruglikov, I. Markina, & D. The (Eds.), Proceedings of the Abel Symposium 2019: Geometry, Lie Theory and Applications, as published in Abel Symposia Vol. 16 (pp. 193-222). Alesund, Norway: Springer. DOI
  2022	Alekseevsky, D., Cortes, V., & Leistner, T. (2022). Semi-Riemannian Cones with Parallel Null Planes. In Proceedings of the X International Meeting on Lorentzian Geometry. Developments in Lorentzian Geometry (GeLoCor 2021), as published in Springer Proceedings in Mathematics & Statistics Vol. 389 (pp. 11 pages). Cham, Switzerland: Springer. DOI Scopus1
  2008	Eastwood, M., & Leistner, T. (2008). Higher symmetries of the square of the Laplacian. In Proceedings of Symmetries and Overdetermined Systems of Partial Differential Equations Vol. 144 (pp. 319-338). Germany: SPRINGER. DOI WoS14
  2002	Leistner, T. (2002). Lorentzian manifolds with special holonomy and parallel spinors. In Supplemento ai Rendiconti del Circolo Matematico di Palermo, II (pp. 131-159). Italy: Springer Italia Srl.

• Theses

  Year	Citation
  2021	Fresacher, M. (2021). Approximation of Higher Degree Spectra Results for Twisted Laplace Operators.

• Preprint

  Year	Citation
  2024	Greenwood, S., & Leistner, T. (2024). Lorentzian homogeneous structures with indecomposable holonomy.
  2024	Gover, A. R., Kress, J., & Leistner, T. (2024). Conformal Killing tensors and their Killing scales.
  2023	Cortés, V., & Leistner, T. (2023). Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations.
  2023	Costanza, F., & Leistner, T. (2023). Killing vector fields on semi-Riemannian product manifolds.
  2023	Costanza, F., Eastwood, M., Leistner, T., & McMillan, B. (2023). The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces.
  2023	Alekseevsky, D., Cortes, V., & Leistner, T. (2023). Geometry and holonomy of indecomposable cones. DOI
  2022	Leistner, T., & Teisseire, S. (2022). Conformal transformations of Cahen-Wallach spaces. DOI
  2021	Fino, A., Leistner, T., & Taghavi-Chabert, A. (2021). Almost Robinson geometries. DOI
  2021	Costanza, F., Eastwood, M., Leistner, T., & McMillan, B. (2021). A Calabi operator for Riemannian locally symmetric spaces. DOI
  2021	Leistner, T., & Teisseire, S. (2021). Fundamental regions for non-isometric group actions. DOI
  2020	Fino, A., Leistner, T., & Taghavi-Chabert, A. (2020). Optical geometries. DOI
  2016	Anderson, I. M., Leistner, T., Lischewski, A., & Nurowski, P. (2016). Conformal Walker metrics and linear Fefferman-Graham equations. DOI
  2007	Leistner, T. (2007). Towards a classification of Lorentzian holonomy groups. Part II: Semisimple, non-simple weak-Berger algebras. DOI

Recent teaching:

Mathematics IM

Mathematics IA

Mathematics IB

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
  2024	Co-Supervisor	Cohomology Rings of Topological and Smooth 4-Manifolds	Master of Philosophy	Master	Full Time	Mr Paawan Nileshkumar Jethva
  2024	Principal Supervisor	Conformally related Einstein metrics	Master of Philosophy	Master	Full Time	Mr Harrison Greven
  2020	Co-Supervisor	The Oka principle in twisted K-theory	Doctor of Philosophy	Doctorate	Full Time	Miss Haripriya Sridharan

• Past Higher Degree by Research Supervision (University of Adelaide)

  Date	Role	Research Topic	Program	Degree Type	Student Load	Student Name
  2022 - 2024	Principal Supervisor	Algebraic Aspects of Lorentzian Homogeneous Spaces	Master of Philosophy	Master	Full Time	Mr Steven James Greenwood
  2022 - 2024	Co-Supervisor	Quadrics & Quadrals, Combinatorics & Characterisations: a Survey of Subspaces	Master of Philosophy	Master	Full Time	Mr George Savvoudis
  2020 - 2023	Principal Supervisor	On Dirac Generating Operators and Clifford Module Bundles	Doctor of Philosophy under a Jointly-awarded Degree Agreement with	Doctorate	Full Time	Ms Manasa Manjunatha
  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 - 2023	Principal Supervisor	The Killing operator on locally homogeneous spaces	Doctor of Philosophy	Doctorate	Full Time	Mr Esteban Federico Costanza
  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

• Memberships

  Date	Role	Membership	Country
  2010 - ongoing	Member	Australian Mathematical Society	Australia

• Community Engagement

  Date	Title	Engagement Type	Institution	Country
  2022 - ongoing	Differential Geometry Seminar	Scientific Community Engagement	University of Adelaide	Australia
  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

• Editorial Boards

  Date	Role	Editorial Board Name	Institution	Country
  2016 - 2019	Board Member	Communications of the Korean Mathematical Society	Korean mathematical Society	Korea, Republic of
  2014 - ongoing	Board Member	Advances in Geometry	De Gruyter	Germany

• Presentation

  Date	Topic	Presented at	Institution	Country
  2024 - 2024	Lorentzian homogeneous structures with indecomposable holonomy	Symmetry and shape	University of Santiago de Compostela	Spain
  2024 - 2024	Lorentzian homogeneous structures with indecomposable holonomy	Seminar on Differential Geometry	University of Hamburg	Germany
  2024 - 2024	Lorentzian homogeneous structures with indecomposable holonomy	Differential geometry seminar	University Regensburg	Germany
  2024 - 2024	The Killing connection and the range of the Killing operator	Mathematical supergravity	Universidad Nacional de Educación a Distancia, UNED, Madrid	Spain
  2023 - 2023	Conformal transformations of Cahen-Wallach spaces	Research Seminar Differential Geometry	University of Hamburg	Germany
  2023 - 2023	The Killing connection and the range of the Killing operator	Differential Geometry Seminar	University Regensburg	Germany
  2023 - 2023	Conformal transformations of Cahen-Wallach spaces	Spectrum and Symmetry for Group Actions in Differential Geometry II	Matrix Mathematical Research Institute	Australia
  2023 - 2023	The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces	GRIEG meets Chopin. Warsaw meeting on geometric methods in science	Polish Academy of Science	Poland
  2022 - 2022	Conformal Transformation of Cahen-Wallach spaces	Oberseminar	University of Regensburg	Germany
  2022 - 2022	A Calabi operator for locally symmetric spaces	Global Analysis on Manifolds A Conference in Honour of Prof. Christian Bär	University Freiburg	Germany
  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

• Position: Associate Prof/Reader
• Phone: 83136401
• Email: thomas.leistner@adelaide.edu.au
• Fax: 83133696
• Campus: North Terrace
• Building: Ingkarni Wardli, floor 6
• Org Unit: Mathematical Sciences