Dr Thomas Leistner
I am a Senior Lecturer in Pure Mathematics. I did my PhD at HumboldtUniversity 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 spacetimes) 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 spacetimes), 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
Journals
Date  Citation 

2016  Leistner,T, Schliebner,D, 2016, Completeness of compact Lorentzian manifolds with abelian holonomy, Mathematische Annalen, 364, 34, 14691503 10.1007/s0020801512704 
2016  Baum,H, Leistner,T, Lischewski,A, 2016, Cauchy problems for Lorentzian manifolds with special holonomy, Differential Geometry and Its Applications, 45, 4366 10.1016/j.difgeo.2015.11.007 
2016  Globke,W, Leistner,T, 2016, Locally homogeneous ppwaves, Journal of Geometry and Physics, 108, 83101 10.1016/j.geomphys.2016.06.013 
2014  Alt,J, Di Scala,A, Leistner,T, 2014, Conformal holonomy, symmetric spaces, and skew symmetric torsion, Differential Geometry and Its Applications, 33, Suppl., 443 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, 34, 797828 10.1007/s0020901412795 
2012  Leistner,T, Nurowski,P, 2012, Conformal pure radiation with parallel rays, Classical and Quantum Gravity, 29, 5, 055007105500715 10.1088/02649381/29/5/055007 
2012  Leistner,T, Nurowski,P, 2012, Ambient metrics with exceptional holonomy, Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, 11, 2, 407436 10.2422/20362145.201003_009 
2011  Cortes,V, Leistner,T, Schafer,L, SchulteHengesbach,F, 2011, Halfflat structures and special holonomy, Proceedings of the London Mathematical Society, 102, 1, 113158 10.1112/plms/pdq012 
2011  Di Scala,A, Leistner,T, 2011, Connected subgroups of SO(2,n) acting irreducibly on ℝ²,ⁿ, Israel Journal of Mathematics, 182, 1, 103121 10.1007/s1185601100255 
2010  Leistner,T, Nurowski,P, 2010, Ambient metrics for ndimensional ppwaves, Communications in Mathematical Physics, 296, 3, 881898 10.1007/s002200100995x 
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, 116 10.1088/02649381/27/22/225003 
2009  Alekseevsky,D, Cortes,V, Galaev,A, Leistner,T, 2009, Cones over pseudoRiemannian manifolds and their holonomy, Journal fur die Reine und Angewandte Mathematik, 635, 635, 2369 10.1515/CRELLE.2009.075 
2007  Leistner,T, 2007, On the classification of Lorentzian holonomy groups, Journal of Differential Geometry, 76, 3, 423484 
2007  Armstrong,S, Leistner,T, 2007, Ambient connections realising conformal Tractor holonomy, Monatshefte fur Mathematik, 152, 4, 265282 10.1007/s0060500704913 
2006  Leistner,T, 2006, Conformal holonomy of Cspaces, Ricciflat, and Lorentzian manifolds, Differential Geometry and its Applications, 24, 5, 458478 10.1016/j.difgeo.2006.04.008 
2006  Leistner,T, 2006, Screen bundles of Lorentzian manifolds and some generalisations of ppwaves, Journal of Geometry and Physics, 56, 10, 21172134 10.1016/j.geomphys.2005.11.010 
Leistner,T, Towards a classification of Lorentzian holonomy groups. Part II: Semisimple, nonsimple weakBerger algebras, J. Differential Geom. 76 (2007), no. 3, 423484,  

Anderson,IM, Leistner,T, Lischewski,A, Nurowski,P, Conformal Walker metrics and linear FeffermanGraham equations,   
Leistner,T, Lischewski,A, The ambient obstruction tensor and conformal holonomy,   
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 pseudoRiemannian holonomy theory, European Mathematical Society Publishing House, Zurich, Switzerland, pp. 581627 
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. 629651 10.4171/0791/18 
2008  Galaev,A, Leistner,T, 2008, Holonomy groups of Lorentzian manifolds: classification, examples, and applications, European Mathematical Society Publishing House, Zurich, pp. 5396 
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 10.1007/9780387738314_15 
2002  Leistner,T, 2002, Lorentzian manifolds with special holonomy and parallel spinors, 21st Winter School "Geometry and Physics", Srní , Czech Republic 
20112012: Go8  DAAD Australia  Germany Joint Research Cooperation Scheme, "Spinor field equations in Lorentzian geometry", joint with Helga Baum (HUBerlin)
20122014: ARC Discovery Project "Holonomy groups in Lorentzian geometry"
20122016: 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 FrancisStaite (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 