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.

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

Keywords

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

Journals

Date Citation
2016 Globke,W, Leistner,T, 2016, Locally homogeneous pp-waves, Journal of Geometry and Physics, 108, 83-101 10.1016/j.geomphys.2016.06.013
2016 Baum,H, Leistner,T, Lischewski,A, 2016, Cauchy problems for Lorentzian manifolds with special holonomy, Differential Geometry and Its Applications, 45, 43-66 10.1016/j.difgeo.2015.11.007
2016 Leistner,T, Schliebner,D, 2016, Completeness of compact Lorentzian manifolds with abelian holonomy, Mathematische Annalen, 364, 3-4, 1469-1503 10.1007/s00208-015-1270-4
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 10.1016/j.difgeo.2013.10.012
2014 Baum,H, Lärz,K, Leistner,T, 2014, On the full holonomy group of Lorentzian manifolds, Mathematische Zeitschrift, 277, 3-4, 797-828 10.1007/s00209-014-1279-5
2012 Leistner,T, Nurowski,P, 2012, Conformal pure radiation with parallel rays, Classical and Quantum Gravity, 29, 5, 055007-1-055007-15 10.1088/0264-9381/29/5/055007
2012 Leistner,T, Nurowski,P, 2012, Ambient metrics with exceptional holonomy, Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, 11, 2, 407-436 10.2422/2036-2145.201003_009
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 10.1007/s11856-011-0025-5
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 10.1112/plms/pdq012
2010 Leistner,T, Nurowski,P, 2010, Ambient metrics for n-dimensional pp-waves, Communications in Mathematical Physics, 296, 3, 881-898 10.1007/s00220-010-0995-x
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 10.1088/0264-9381/27/22/225003
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 10.1515/CRELLE.2009.075
2007 Armstrong,S, Leistner,T, 2007, Ambient connections realising conformal Tractor holonomy, Monatshefte fur Mathematik, 152, 4, 265-282 10.1007/s00605-007-0491-3
2007 Leistner,T, 2007, On the classification of Lorentzian holonomy groups, Journal of Differential Geometry, 76, 3, 423-484
2006 Leistner,T, 2006, Screen bundles of Lorentzian manifolds and some generalisations of pp-waves, Journal of Geometry and Physics, 56, 10, 2117-2134 10.1016/j.geomphys.2005.11.010
2006 Leistner,T, 2006, Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds, Differential Geometry and its Applications, 24, 5, 458-478 10.1016/j.difgeo.2006.04.008
Leistner,T, Lischewski,A, The ambient obstruction tensor and conformal holonomy, -
Anderson,IM, Leistner,T, Lischewski,A, Nurowski,P, Conformal Walker metrics and linear Fefferman-Graham equations, -
Leistner,T, Towards a classification of Lorentzian holonomy groups. Part II:
Semisimple, non-simple weak-Berger algebras, J. Differential Geom. 76 (2007), no. 3, 423-484, -
Leistner,T, Nurowski,P, Sagerschnig,K, New relations between $G_2$-geometries in dimensions 5 and 7, -
Anderson,IM, Leistner,T, Nurowski,P, Explicit ambient metrics and holonomy, -
Leistner,T, Lischewski,A, Hyperbolic evolution equations, Lorentzian holonomy, and Riemannian
generalised Killing spinors, -

Book Chapters

Date Citation
2010 Galaev,A, Leistner,T, 2010, Recent developments in pseudo-Riemannian holonomy theory, European Mathematical Society Publishing House, Zurich, Switzerland, pp. 581-627
2010 Di Scala,A, Leistner,T, Neukirchner,T, 2010, Geometric applications of irreducible representations of Lie groups, European Mathematical Society Publishing House, Zurich, Switzerland, pp. 629-651 10.4171/079-1/18
2008 Galaev,A, Leistner,T, 2008, Holonomy groups of Lorentzian manifolds: classification, examples, and applications, European Mathematical Society Publishing House, Zurich, pp. 53-96

Conference Papers

Date Citation
2008 Eastwood,M, Leistner,T, 2008, Higher symmetries of the square of the Laplacian, Symmetries and Overdetermined Systems of Partial Differential Equations, USA 10.1007/978-0-387-73831-4_15
2002 Leistner,T, 2002, Lorentzian manifolds with special holonomy and parallel spinors, 21st Winter School "Geometry and Physics", Srní , Czech Republic

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)

 

I am happy to supervise Honours, MPhil and PhD projects in differential geometry.

Recent Supervision: Kelli Francis-Staite (MPhil, 2014/15)

Memberships

Date Role Membership Country
2010 Member Australian Mathematical Society Australia

Editorial Boards

Date Role Editorial Board Name Country
2016 - 2019 Board Member Communications of the Korean Mathematical Society Korea, Republic of
2014 Board Member Advances in Geometry Germany
Position
Senior Lecturer
Phone
83136401
Fax
8313 3696
Campus
North Terrace
Building
Ingkarni Wardli Building
Room Number
6 39
Org Unit
Mathematical Sciences

top