Dr Thomas Leistner

Thomas Leistner
Senior Lecturer
School of Mathematical Sciences
Faculty of Engineering, Computer and Mathematical Sciences

I am a Senior Lecturer 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.

Connect With Me

External Profiles

Dr Thomas Leistner

I am a Senior Lecturer 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.

Eligible to supervise Masters and PhD — email supervisor to discuss availability.

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.

Appointments

Date Position Institution name
2016 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

Journals

Year Citation
2017 Leistner, T., & Lischewski, A. (2017). The ambient obstruction tensor and conformal holonomy. Pacific Journal of Mathematics, 290(2), 403-436.
DOI
2017 Leistner, T., Nurowski, P., & Sagerschnig, K. (2017). New relations between G2 geometries in dimensions 5 and 7. International Journal of Mathematics, 28(13), 46 pages.
DOI
2017 Leistner, T., & Lischewski, A. (2017). Hyperbolic Evolution Equations, Lorentzian Holonomy, and Riemannian Generalised Killing Spinors. Journal of Geometric Analysis, 1-50.
DOI
2016 Globke, W., & Leistner, T. (2016). Locally homogeneous pp-waves. Journal of Geometry and Physics, 108, 83-101.
DOI
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
2016 Leistner, T., & Schliebner, D. (2016). Completeness of compact Lorentzian manifolds with abelian holonomy. Mathematische Annalen, 364(3-4), 1469-1503.
DOI Scopus2 WoS3
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 Scopus7 WoS6
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 Scopus11 WoS9
2012 Leistner, T., & Nurowski, P. (2012). Conformal pure radiation with parallel rays. Classical and Quantum Gravity, 29(5), 055007-1-055007-15.
DOI Scopus8 WoS8
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 Scopus8 WoS8
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 Scopus20 WoS16
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 Scopus10 WoS8
2010 Leistner, T., & Nurowski, P. (2010). Ambient metrics for n-dimensional pp-waves. Communications in Mathematical Physics, 296(3), 881-898.
DOI Scopus15 WoS15
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 Scopus32 WoS28
2007 Leistner, T. (2007). On the classification of Lorentzian holonomy groups. Journal of Differential Geometry, 76(3), 423-484.
Scopus42 WoS38
2007 Armstrong, S., & Leistner, T. (2007). Ambient connections realising conformal Tractor holonomy. Monatshefte fur Mathematik, 152(4), 265-282.
DOI Scopus5 WoS4
2006 Leistner, T. (2006). Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds. Differential Geometry and its Applications, 24(5), 458-478.
DOI Scopus28 WoS31
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 Scopus17 WoS19
Leistner, T. (n.d.). Towards a classification of Lorentzian holonomy groups. Part II:
Semisimple, non-simple weak-Berger algebras. J. Differential Geom. 76 (2007), no. 3, 423-484.
Anderson, I. M., Leistner, T., & Nurowski, P. (n.d.). Explicit ambient metrics and holonomy.
Anderson, I. M., Leistner, T., Lischewski, A., & Nurowski, P. (n.d.). Conformal Walker metrics and linear Fefferman-Graham equations.

Book Chapters

Conference Papers

2011-2012: Go8 - DAAD Australia - Germany Joint Research Cooperation Scheme, "Spinor field equations in Lorentzian geometry", joint with Helga Baum (HU-Berlin)

2012-2014: ARC Discovery Project "Holonomy groups in Lorentzian geometry"

2012-2016:  ARC Future Fellowship

Recent teaching:

Multivariable and Complex Calculus II

Advanced Mathematical Perspectives III

Manifolds, Lie Groups and Lie Algebras (Honours)

 

Current Higher Degree by Research Supervision (University of Adelaide)

Date Role Research Topic Program Degree Type Student Load Student Name
2017 Co-Supervisor Spaces of Holomorphic Immersions of Open Riemann Surfaces Into Affine Spaces Master of Philosophy Master 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
2013 - 2015 Co-Supervisor Einstein and Conformally Einstein Bi-Invariant Semi-Riemannian Metrics Master of Philosophy Master Full Time Kelli Leigh Francis-Staite

Memberships

Date Role Membership Country
2010 - ongoing Member Australian Mathematical Society 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
Position
Senior Lecturer
Phone
83136401
Fax
8313 3696
Campus
North Terrace
Building
Ingkarni Wardli Building, floor 6
Room Number
6 39
Org Unit
Mathematical Sciences

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