Thomas
Leistner
Lecturer
in
Pure
Mathematics, ARC Future Fellow, 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: 657,
Ingkarni Wardli
E-mail:
thomas.leistner (at)
adelaide (dot) edu (dot) au
Teaching and
academic duties
In 2011
and 2012
I am organising the School
Colloquium.
2012,
semester
2:
PURE
MTH
7023 - Pure Mathematics Topic D: Manifolds, Lie groups and Lie
algebras.
Past
teaching:
- 2nd
semester
2011: Coding and Cryptology (PURE MTH 3018),
see MyUni
page for the course.
- Summer
semester
2011: In
Jan/Feb
2011
I
taught
an honours
course
on Lie groups and Lie algebras
at the AMSI
Summer
School
2011.
- 2nd
semester
2010: Coding
and
Cryptology
(PURE
MTH
3018),
see MyUni
page
for the course.
- 1st
semester
2010: Honours
Pure
Mathematics
Topic
C
-
Lie
groups
and
Lie algebras
- 2nd
semester 2009: Honours Pure Mathematics Topic F - Lie groups and
symmetric spaces
- at
University
of
Hamburg.
Supervision:
- Kelli
Francis-Staite, The classical groups, AMSI
Vacation
Research
Scholar, 2012
- Dale
Buttfield, The classification of real semisimple Lie algebras, Honours
2011
- Christian
Reichwagen, Parallelisierbare Lorentzmannigfaltigkeiten und
Supersymmetrie, Diplom, University of Hamburg 2009
Publications
and
preprints
- Conformal
pure
radiation
with
parallel
rays
(with P. Nurowski), to appear in Classical
and
Quantum Gravity, arxiv.org/abs/1107.1675.
- 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.
- Half
flat
structures
and
special
holonomy
(with
V.
Cortés,
L.
Schäfer,
and
F.
Schulte-Hengesbach),
Proc. London Math. Soc. (3) 102 (2011) 113-158, journal
link, arxiv:0907.122.
- Conformal
structures
with
exceptional
ambient
metrics
(with
P.
Nurowski),
to
appear
in
Ann.
Sc. Norm. Super. Pisa Cl. Sci., arxiv:0904.0186, 22
pages.
- Ambient
metrics
for
n-dimensional
pp-waves
(with
P.
Nurowski),
Comm.
Math Phys. 296 (2010),
881-898, 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), 103-121,
preprint
available
as
ESI preprint no. 2033,
22
pages.
- Cones
over
pseudo-Riemannian
manifolds
and
their
holonomy
(with
D.
V.
Alekseevsky,
V.
Cortés,
and A.
Galaev), J. reine angew. Math.
(Crelle's
Journal) 635
(2009),
23-69, journal
link, ESI preprint no. 1939.
- Holonomy
groups
of
Lorentzian
manifolds:
classification,
examples
and
applications. (with
Anton Galaev), in Recent
Developments in Pseudo-Riemannian Geometry, ESI-Series on
Mathematics and Physics, European Mathematical
Society, 2008, 53-97.
- Recent
development
in
pseudo-Riemannian
holonomy
theory (with Anton
Galaev), 2006, Handbook
of Pseudo-Riemannian Geometry,
IRMA Lectures in Mathematics and Theoretical Physics, 2010, 581-629.
- Irreducibly
acting
subgroups
of
$Gl(n,\rr)$
(with
Antonio
J.
Di
Scala
and
Thomas
Neukirchner), 2005, Handbook of
Pseudo-Riemannian Geometry, IRMA Lectures in
Mathematics and Theoretical Physics, 2010, 629-653, math.DG/0507047.
- 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, 319-338, link to toc,
also at math.DG/0610610
.
- Ambient
connections
realising
conformal
Tractor
holonomy
(with
Stuart
Armstrong),
Monatshefte
fuer
Mathematik, 152
(2007), no. 4: 265-282, journal
link, also at arXiv:math/0606410.
- On
the
classification of Lorentzian holonomy groups, Journal of Differential Geometry, 76, no. 3: 423-484, journal
link.
- Screen
bundles
of
Lorentzian
manifolds
and
some
generalisations
of
pp-waves,
Journal
of
Geometry
and Physics, 56 (2006),
no. 10: 2117 -- 2134, journal
link, also as math.DG/0507048.
- Conformal
holonomy
of
C-spaces,
Ricci-flat,
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, Humboldt-Universität zu
Berlin, 2003, published in Logos-Verlag
Berlin, 2004.
- Towards
a
classification
of
Lorentzian
holonomy
groups.
Part
II:
Semismple,
non-simple
weak-Berger
algebras,
2003, math.DG/0309274.
- Towards
a
classification
of
Lorentzian
holonomy
groups,
2003, math.DG/0305139.
- Berger
algebras,
weak-Berger
algebras
and
Lorentzian
holonomy,
Sfb
288-preprint
no.
567,
2002:
ftp://ftp-sfb288.math.tu-berlin.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 13-20, 2001, Supplemento ai Rendiconti del Circolo
Matematico di Palermo, Nr. 69, pp. 131-159, 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
priciple for the Dirac operator on Lorentzian manifolds), diploma
thesis, Humboldt University Berlin, 1999,
zipped ps-file.
Talks
and
lectures
- Irreducible subgroups of SO(2,n)
at the 55th
Annual AustMS Meeting in Wollongong, September 26-29, 2011.
- Conformal classes with
explicit ambient metrics at the workshop The
Geometry of Differential Equations at the ANU, September 19-23,
2011.
- 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 27-30, 2010 in Brisbane, one
about Half flat structures and
special holonomy and one about Ambient metrics for pp-waves.
- 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 structure 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
- Special
holonomy
in
Lorentzian
geometry, Workshop on
New Currents in Geometry in Australia, 16-18 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 pp-waves and their
ambient metrics, Lorentzian
Geometry.
Analysis
and
Geometry
of
pseudo-Riemannian
Manifolds ,
Alfried Krupp Kolleg Greifswald, July 20-22, 2009.
- Pseudo-Riemannian 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
- Helga
Baum, March
2012
- November/December
2011,
Humboldt-University
Berlin and University
Greifswald
- September
2011, ANU
and Wollongong
- July
2011, ESI
- Kordian Laerz (HU Berlin), March 7
- April 7, 2011
- Vicente Cortes,
February
8
-
28,
2011
- December
5, 2010 - January 4, 2011, Humboldt-University
Berlin
- December
12 - December 18, 2010, University
of
Warsaw
- November
2010, La
Trobe
University
- September
2010, Brisbane
- Paul-Andi
Nagy, May 20 - June 3, 2010
- Pawel Nurowski,
February 2010
- January
2010, Monash
University
Co-organised
workshops and events
Last update: February 1, 2012
by
T.
Leistner