Thomas Leistner
Senior
Lecturer in Pure Mathematics, member of
the IGA
School of
Mathematical Sciences, University of Adelaide,
SA 5005, Australia
Phone: +61 (0)8 83136401, Fax: +61 (0)8 83133696, Room:
6.39, Ingkarni
Wardli
Email:
thomas.leistner
(at) adelaide (dot) edu (dot) au
My UoA
Researcher Profile.
Conference
and Workshop News:
Below you find
information about my:
Teaching and
supervision
Teaching:
Recent Supervision:
Publications and
preprints
My
publications on MathSciNet,
on Google
Scholar and on the arXiv.

Invariant prolongation of the Killing tensor equation (with A.
Rod Gover), to appear in Annali di Matematica Pura ed
Applicata (2018), 28 pages, journal
link, arxiv:1802.05866
 Hyperbolic
evolution equations, Lorentzian holonomy, and Riemannian
generalised Killing spinors (with A.Lischewski), to appear in The
Journal of Geometric Analysis, 50 pages, journal
link, arXiv:1702.01951
 Conformal
Walker metrics and linear FeffermanGraham equations (with
I. Anderson, A. Lischewski, and P. Nurowski), 37 pages, arXiv:1609.02371
 New
relations between $G_2$geometries in dimensions 5 and 7 (with
P. Nurowski and K. Sagerschnig), International Journal of
Mathematics 28 (2017), issue 13, 46
pages, journal
link, arxiv:1601.03979
 The
ambient obstruction tensor and conformal holonomy (with A.
Lischewski), Pacific Journal of Mathematics 290
(2017), no. 2, 403–436, journal link,
arXiv:1511.07214
 Explicit
ambient metrics and holonomy (with I.M. Anderson and P.
Nurowski), 52 pages, to appear in Journal of Differential
Geometry, arxiv:1501.00852
 Cauchy
problems for Lorentzian manifolds with special holonomy (with H.
Baum and A. Lischewski), Differential
Geom. Appl. 45 (April 2016), pp 4366, journal
link, arxiv:1411.3059
 Locally
homogeneous ppwaves (with W. Globke), Journal of Geometry
and Physics 108, Oct 2016, 83–101, journal
link, arxiv:1410.3572
 Completeness
of
compact
Lorentzian
manifolds
with
abelian holonomy (with D. Schliebner), Math. Ann. 364
(2016), issue 3, pp
14691503,
journal link, arxiv:1306.0120.
 Conformal
holonomy,
symmetric
spaces,
and
skew
symmetric
torsion
(with
J.
Alt
and
A.
J.
Di
Scala),
Differential Geom. Appl.,
Volume
33,
Supplement,
March
2014,
Pages 4–43, arxiv:1208.2191.
 On
the
full holonomy group of special Lorentzian manifolds (with Helga
Baum and Kordian Lärz), Math.
Z. 277 (2014), no 34,
797828, journal
link, arxiv:1204.5657.
 Conformal
pure
radiation
with
parallel
rays
(with
P.
Nurowski),
Classical and Quantum Gravity
29 (2012) 055007 (15pp),
arxiv.org/abs/1107.1675.
 Ambient
metrics
with exceptional holonomy (with P. Nurowski), Ann. Sc. Norm. Super. Pisa Cl.
Sci., XI,
issue 2 (2012), 407436,
journal link, arxiv:0904.0186,
30 pages.
 Half
flat structures and special holonomy (with V. Cortés, L.
Schäfer, and F. SchulteHengesbach), Proc. London Math.
Soc. (3) 102
(2011) 113158, journal
link, arxiv:0907.122.
 On
the
local structure of Lorentzian Einstein manifolds with parallel
null line (with A. S Galaev), Classical Quantum Gravity 27 (2010) 225003
(16pp), journal
link, arxiv:0912.3400.
 Ambient
metrics
for
ndimensional
ppwaves
(with
P.
Nurowski),
Comm. Math Phys. 296 (2010), 881898, journal
link, arXiv:0810.2903.
 Connected
subgroups
of
SO(2,n)
acting
irreducibly
on
$\R^{2,n}$
(with
A.
J.
Di
Scala),
Israel J. Math. 182 (2011), 103121,
preprint available as arxiv:0806.2586
or as ESI preprint no. 2033
 Recent
development in pseudoRiemannian holonomy theory (with Anton
Galaev), Handbook
of
PseudoRiemannian Geometry, IRMA Lectures in
Mathematics and Theoretical Physics, 2010, 581629.
 Irreducibly
acting subgroups of $Gl(n,\rr)$ (with Antonio J. Di Scala and
Thomas Neukirchner),
2005, Handbook of PseudoRiemannian
Geometry, IRMA Lectures in Mathematics and
Theoretical Physics, 2010, 629653, math.DG/0507047.
 Cones
over
pseudoRiemannian
manifolds
and
their
holonomy
(with
D.
V.
Alekseevsky,
V.
Cortés,
and
A.
Galaev),
J. reine angew. Math.
(Crelle's Journal) 635 (2009), 2369, journal
link, ESI preprint no.
1939.
 Holonomy
groups of Lorentzian manifolds: classification, examples and
applications. (with
Anton Galaev), in Recent Developments in
PseudoRiemannian Geometry, ESISeries on
Mathematics and Physics, European Mathematical Society,
2008, 5397.
 Higher
symmetries
of
the
square
of
the
Laplacian
(with
Michael
Eastwood),
in:
Symmetries and Overdetermined
Systems of Partial Differential Equations, Vol.
144 of IMA Volumes in Mathematics and Its
Applications, 2008, 319338, link to
toc, also at math.DG/0610610
.
 Ambient
connections
realising
conformal
Tractor
holonomy
(with
Stuart
Armstrong),
Monatshefte fuer Mathematik,
152 (2007), no. 4:
265282, journal
link, also at arXiv:math/0606410.
 On
the
classification
of Lorentzian holonomy groups, Journal of Differential Geometry, 76, no. 3: 423484, journal
link.
 Screen
bundles
of
Lorentzian
manifolds
and
some
generalisations
of
ppwaves,
Journal of Geometry and
Physics, 56
(2006), no. 10: 2117  2134, journal
link, also as math.DG/0507048.
 Conformal
holonomy
of
Cspaces,
Ricciflat,
and
Lorentzian
manifolds,
Differential Geometry and its
Applications, 24
(2006), no. 5: 458  478, journal
link, also at math.DG/0501239.
 Holonomy and Parallel Spinors in
Lorentzian Geometry, Dissertation, HumboldtUniversität
zu Berlin, 2003, published in LogosVerlag
Berlin, 2004.
 Towards
a classification of Lorentzian holonomy groups. Part II:
Semismple, nonsimple weakBerger algebras, 2003, math.DG/0309274.
 Towards
a classification of Lorentzian holonomy groups, 2003, math.DG/0305139.
 Berger
algebras,
weakBerger
algebras
and
Lorentzian
holonomy,
Sfb
288preprint
no.
567,
2002:
ftp://ftpsfb288.math.tuberlin.de/pub/Preprints/preprint567.ps.gz.
 Lorentzian
manifolds with special holonomy and parallel spinors, in: The
proceedings of the 21st winter school "Geometry and Physics",
Srni, January 1320, 2001, Supplemento ai Rendiconti del Circolo
Matematico di Palermo, Nr. 69, pp. 131159, 2002
(This is an extended version of the SFB 288 preprint
no. 468 with some additional results.)
 Das Huygenssche Prinzip fuer den
Diracoperator auf Lorentzmannigfaltigkeiten (The
Huygens principle for the Dirac operator on Lorentzian
manifolds), diploma thesis, Humboldt University Berlin, 1999,
zipped psfile.
Talks and lectures
2018:
2017:
2016:
 Cauchy
problems for Lorentzian manifolds with special holonomy,
Geometric
Flows and the Geometry of Spacetime  workshop and summer
school,
University of Hamburg, September 1923, 2016
 Locally homogeneous
ppwaves, Differential
Geometry Seminar, University of Hamburg, July 4, 2016
 Conformal holonomy
and the ambient obstruction tensor, 7th Pacific Rim
Conference on Mathematics, Seoul National University,
June 27July 1, 2016.
 Geodesic
completeness of compact Lorentzian manifolds, Differential
Geometry Seminar, Jeju
National University, June 27, 2016
 Cauchy problems for
Lorentzian manifolds with special holonomy, Workshop
on Analysis, Geometry and Mathematical Relativity: a
celebration of Robert Bartnik's 60th birthday, Monash
University, Feb 2226, 2016
2015:
 Locally homogeneous ppwaves, Differential
Geometry Seminar, University of Adelaide, November 6, 2015
 Exceptional conformal structures, ambient metrics and
holonomy, Workshop
on Analysis and Geometry in nonRiemannian spaces, UNSW,
Nov 24, 215
 Geodesic completeness of compact Lorentzian manifolds, Differential
Geometry Seminar, University of Hamburg, October 19, 2015.
 Geodesic completeness of compact Lorentzian manifolds, Geometry
& Topology seminar, University of Sydney, September
16, 2015
 Explicit
ambient metrics and holonomy (or Fun with PDEs, matrices and
Maple), Differential
geometry seminar, Mathematical Sciences Institute, ANU,
March 12, 2015.
 Geodätische Vollständigkeit
kompakter Lorentzmannigfaltigkeiten, FriedrichSchiller
Universität Jena, February 7, 2015
2014:
 Cauchy
problems for Lorentzian manifolds with special holonomy, 8th Australian
New Zealand Mathematics Convention, Geometry
and Topology session, University of Melbourne, 812 Dec
2014
 Locally
homogeneous ppwaves, AMSI
workshop "Differential
Geometry, Complex Analysis, ad Lie Theory", LaTrobe
University Melbourne, 57 Dec 2014.
 Locally homogeneous ppwaves, HU Berlin, November
29, 2014

Geodätische
Vollständigkeit kompakter Lorentzmannigfaltigkeiten,
University of Stuttgart, October 24, 2014
 Die Ambientmetrik der konformen Geometrie und G_2
Mannigfaltigkeiten, HU
Berlin, April 11, 2014
 Conformal structures with linear FeffermanGraham equations,
Banach Center Research Group Geometry of Projective
Structures and Differential Equations, Warsaw,
March 27, 2014
2013:
 Holonomiegruppen: Klassifikation, Konstruktionen und
Anwendungen, Mathematisches
Seminar, Universität Kiel, November 22, 2013
 Completeness of compact ppwaves, Differential
Geometry Seminar, University of Adelaide, Oct 18, 2013
 Global
aspects of Lorentzian manifolds with special holonomy, 57th
AustMS
meeting, special session Differential
Geometry and Applications, Sydney, September 29 
October 3, 2013
 Global
aspects of Lorentzian manifolds with special holonomy, International
Fall Workshop on Geometry and Physics, September 2  5,
Universidade de Évora, Portugal
 Conformal
holonomy, symmetric spaces, and skew symmetric torsion,
talk at Humboldt
University Berlin on 13/02/2013.
2012:
 Conformal
holonomy, symmetric spaces, and skew symmetric torsion,
talk at the ESI program The
Interaction
of Geometry and Representation Theory, September 3  14,
2012.
 Holonomy
groups, Mathematics
colloquium, School of
Mathematics and Physics, The University of Queensland, May
28, 2012
 On the full holonomy group of special Lorentzian manifolds, Differential
Geometry Seminar, University of Adelaide, May 25,
2012
 Two introductory lectures about holonomy groups, Utah State
University, May 8 and 9, 2012
2011:
 Irreducible
subgroups of SO(2,n) at the 55th
Annual
AustMS Meeting in Wollongong, September 2629, 2011.
 Conformal
classes with explicit ambient metrics at the workshop The
Geometry
of Differential Equations at the ANU, September 1923,
2011
 Holonomy groups of Lorentzian manifolds and Simons' holonomy
theorem, Institute
for Theoretical Physics, University of Warsaw, July 6,
2011
 Holonomiegruppen: Klassifikation, Konstruktionen und
Anwendungen. Workshop Moderne
Aspekte der Differentialgeometrie, Leibniz Universität
Hannover, June 22, 2011.
 Holonomy groups: classification, constructions, and
applications, Oberseminar
Eichtheorie und Topologie, Universität Bielefeld, April 1,
2011.
2010:
 Half
flat structures and special holonomy at the AMSI
Workshop Riemannian and Differential Geometry at La Trobe
University Melbourne, November 30 to December 2, 2010
 I gave two talks at the 54th
Annual AustMS Meeting, held from Sep 2730, 2010 in
Brisbane, one about Half
flat structures and special holonomy and one about Ambient
metrics for ppwaves.
 Curvature,
triangles, and maps, Undergraduate
Seminar, School of Mathematical Science, The University of
Adelaie, 8 September 2010
 Holonomy groups, School
of
Mathematical Sciences Colloquium, University of Adelaide,
7 May 2010
 Conformal structures with
G_2 ambient metrics, Differential
Geometry Seminar, School of Mathematical Science,
University of Adelaide, 19 March 2010
 Special holonomy in Lorentzian
geometry, Workshop
on General Relativity and Geometric Analysis, 22  28
January 2010 at Monash University in Melbourne, Australia
<2010:
 Special
holonomy in Lorentzian geometry, Workshop
on New Currents in Geometry in Australia, 1618 November
2009 at the IGA, Adelaide
 Irreducible subgroups of
SO(2,n), Differential
Geometry Seminar , School of Mathematical Science,
University of Adelaide, 16 October 2009
 Conformal ppwaves and their
ambient metrics, Lorentzian
Geometry. Analysis and Geometry of pseudoRiemannian Manifolds
, Alfried Krupp Kolleg Greifswald, July 2022, 2009.
 PseudoRiemannian
cones and their holonomy, talk given in December 2008 at
seminars in Dortmund, Muenster, Hannover, and earlier at Universidade de Santiago de
Compostela, at the Forschungsseminar
Differentialgeometrie at Potsdam
University, at the Pure
Mathematics
Colloquium at Hamburg University,
and at the Seminar for Differential Geometry at Humboldt University.
Visits
and Visitors
 Banach
Center of the Polish Academy of Sciences, June 2018
 Universidad
de Granada, December 2017
 Banach
Center of the Polish Academy of Sciences,
August/September 2017
 Mathematisches
Forschungsinstitut Oberwolfach, August 2017
 Rod
Gover, April 2017
 University
of Hamburg, September 2016
 University of
Hamburg and Humboldt
University Berlin, July 2016
 University of
Hamburg and Humboldt
University Berlin, October 2015
 Pawel Nurowski, March 2015
 Vicente
Cortés, February 2015
 University of
Hamburg, October 28  November 7, 2014
 Humboldt
University Berlin, October 15
 28, 2014
 Humboldt
University Berlin, April 4  April 11, 2014
 Banach Center of the Polish
Academy of Sciences, March 24  April 4, 2014
 International
Meeting
on
Lorentzian
and
Conformal Geometry, Alfried Krupp Wissenschaftkolleg,
Greifswald, March 1821, 2014.
 Pawel Nurowski, November 10
 December 1, 2013
 Lenka Zalabova,
September 9 19
 International
Fall Workshop on Geometry and Physics, September 2  5,
Universidade de Évora, Portugal
 Differential
Geometry and its Applications, August 19 
23, 2013, Brno • Czech Republic
 Helga
Baum,
April 12  May 10, 2013
 Workshop
on
Hprojective
Geometry, March 2125 2013, ANU, Canberra and Kioloa
 Pawel Nurowski, March 4 
30, 2013
 February
2013,
Polish
Academy
of Science and Humboldt
University Berlin
 November
515,
2012, Arman
TaghaviChabert, Masaryk University Brno
 September
2012,
ESI
and HU Berlin
 July
2012, Daniel
Schliebner, HumboldtUniversity Berlin
 April
29  May 17, Utah State
University
 Helga
Baum,
March 2012
 November/December
2011,
HumboldtUniversity
Berlin and University
Greifswald
 September
2011, ANU
and Wollongong
 July
2011, ESI
and Humboldt
University Berlin
 Kordian
Laerz (HU Berlin), March 7  April 7,
2011
 Vicente
Cortes, February 8  28, 2011
 December
5,
2010  January 4, 2011, HumboldtUniversity
Berlin
 December
12
 December 18, 2010, University of
Warsaw
 November
2010,
La
Trobe University
 September
2010, Brisbane
 PaulAndi
Nagy, May 20  June 3, 2010
 Pawel Nurowski,
February 2010
 January
2010, Monash
University
Funding
 Go8  DAAD Australia  Germany
Joint Research Cooperation Scheme, "Spinor field equations in
Lorentzian geometry", joint with Helga
Baum (HUBerlin)
 ARC Discovery Project
"Holonomy groups in Lorentzian geometry" (20122014)
 ARC Future Fellowship
(2012Jan 2016)
Coorganised
workshops and events
 Together with Peter
Bouwknegt, Wolfgang
Globke and Pedram
Hekmati I am organising an AMSI and IGA funded
workshop on Symmetries
and Spinors: Interactions Between Geometry and Physics,
from April 1317, 2015, at the University of Adelaide
 IGA
Lecture Series Aspects
of
Finsler Geometry by Robert
Bryant, Oct 31Nov 1, 2013
 Together
with Ines
Kath and Uwe
Semmelmann I was organising the International
Meeting on Lorentzian and Conformal Geometry, Alfried Krupp
Wissenschaftkolleg, Greifswald, March 1821, 2014.
 Together with Gerd
Schmalz, I was organising the Geometric
Analysis session for the 57th
Annual
Meeting of the Aust MS at the University of Sydney from 30
September to 3 October 2013.
 AMSI
Summer School 2011
 Holonomy
Groups and Applications in String Theory, Workshop at
University of Hamburg, July 14  18, 2008, Poster
 Transformation
Groups, Holonomy and Spinors in PseudoRiemannian Geometry,
Humboldt University Berlin, September 23  25, 2003
Editorial
activities
How
to
address the selection criteria when you apply for a position in
Adelaide
Last
update: 02/07/2018 by T. Leistner