Alexander Dirmeier

Alexander Dirmeier Dipl.-Phys. Technische Universität Berlin School for Mathematics and Natural Sciences Department of Mathematics, Office MA 8-3 Straße des 17. Juni 136 10623 Berlin, Germany I AM AFFILIATED TO THE UNIVERSITY OF STUTTGART SINCE OCTOBER 2012: Alexander Dirmeier E-mail: dirmeier AT math.tu-berlin.de

A human being should be able to change a diaper, plan an invasion, butcher a hog, conn a ship, design a building, write a sonnet, balance accounts, build a wall, set a bone, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, analyze a new problem, pitch manure, program a computer, cook a tasty meal, fight efficiently, die gallantly. Specialization is for insects. (R. A. Heinlein)

First quantization is a mistery, but second quantization is a functor! (E. Nelson)

Current Research Interests

Global Riemannian and semi-Riemannian geometry, topology and differential topology with an emphasis towards applications in general relativity, cosmology and mathematical physics:

Causality theory in Lorentzian geometry
Singularity vs. splitting techniques
Application of Finsler geometry to mathematical general relativity
Contact geometry and global Lorentzian geometry
Geometry and topology of low-dimensional spacetimes
Dynamical systems and topological fluid dynamics

Further Research Interests

Quantum field theory in curved spacetime
Quantization of general relativity
Emergence and phase transitions
Tetrad field methods in general relativity

Ongoing Projects

Lorentzian Geometry

Lehre / Teaching

WS 05/06-SS 07: Physikalisches Grundpraktikum (Tutorium)
WS 07/08: Lineare Algebra für Ingenieure (Tutorium)
SS 08: Mathematik für Physikerinnen und Physiker II (Tutorium)
WS 08/09:
- Wirtschaftsmathematische Zusatzübungen für Wirtschaftsingenieure (Vorlesung + Übung, Skript, Dokumentationen zu Open Office: Funktionen, User Guide, Getting started with: Calc / Math)
- Physiklabor für den Studiengang Mathematik und Technik, TFH Berlin (University of Applied Sciences)

SS 09:
- Wirtschaftsmathematische Zusatzübungen für Wirtschaftsingenieure (Vorlesung + Übung, Skript, Dokumentationen zu Open Office: Funktionen, User Guide, Getting started with: Calc / Math)
- Geometrische Methoden in der Mathematischen Physik: Hamiltonscher Formalismus und dynamische Constraints (Seminar for students)
WS 09/10:
- Wirtschaftsmathematische Zusatzübungen für Wirtschaftsingenieure (Vorlesung + Übung, Skript, Dokumentationen zu Open Office: Funktionen, User Guide, Getting started with: Calc / Math)
- Analysis I für Ingenieure (Tutorium)
February 2010:
- Modul Wirtschaftsmathematik im Studiengang Medienmanagement (B.A.), Mediadesign Hochschule (University of Applied Sciences), Berlin
SS 10:
- Mathematik für Physikerinnen und Physiker IV (Tutorium)
WS 10/11:
- Mathematik für Physikerinnen und Physiker III (Tutorium)
SS 11:
- Mathematik für Physikerinnen und Physiker II (Vorlesungsassistenz)
WS 11/12:
- Mathematik für Physikerinnen und Physiker III (Vorlesungsassistenz + Tutorium)
SS 12:
- Mathematik für Physikerinnen und Physiker IV (Vorlesungsassistenz + Tutorium)

Publications

	(Global) Differential Geometry & Mathematical Physics
	with M. Plaue and M. Scherfner: On Conformal Vector Fields Parallel to the Observer Field, Adv. Lorentz. Geom. (2008), (arXiv:0802.3642v2 [math-ph]) Causal Classification of Conformally Flat Lorentzian Cylinders (2011, arXiv:1103.5960 [math.DG]) with M. Plaue and M. Scherfner: Growth Conditions, Riemannian Completeness and Lorentzian Causality, J. Geom. Phys. 62 (3), (2012), (doi:10.1016/j.geomphys.2011.04.017) with J. Dietz and M. Scherfner: Geometric Analysis of Particular Compactly Constructed Time Machine Spacetimes, J. Geom. Phys. 62 (5), (2012), (doi:10.1016/j.geomphys.2011.11.013) with J. Dietz and M. Scherfner: Geometric Analysis of Ori-type Spacetimes, Submitted, (2012), (arXiv:1201.1929 [gr-qc]) Growth Conditions for Conformal Transformations Preserving Riemannian Completeness (2012, arXiv:1202.5437 [math.DG]) with M. Plaue and M. Scherfner: Global Hyperbolicity of Spacetimes with an Isotropic Hubble Law (preprint, 2012) On Analytic Criteria for Metric Completeness, (preprint, 2012) Lorentzian Bochner Technique and the Raychaudhuri Equation, (preprint, 2012)
	Topology & Differential Topology
	with S. Born: Boundedness of Functions on Product Spaces by Sums of Functions on the Factors (preprint, 2012)

Non-Published Stuff

Über konforme Vektorfelder in der mathematischen Kosmologie (2008, diploma thesis, PDF)
Maxwellgleichungen im Gravitationsfeld (2006, talk, PDF)
Die Epochen des kosmologischen Standardmodells (2006, talk, PDF)
Affine Geometrie (2007, talk, PDF)
CMC Foliations of 3-Dimensional Twisted Product Spacetimes (2011, PDF)

Talks and Conferences

On Conformal Vector Fields, talks of the project group Lorentzian Geometry, TU Berlin, 2007-11-13
Conformal Vector Fields in Newman-Penrose Formalism, talks of the project group Lorentzian Geometry, TU Berlin, 2008-04-16
On Related Theorems About Global Hyperbolicity, (PDF), V International Meeting on Lorentzian Geometry, Martina Franca (Taranto, Italy), 2009-07-10
International Summer School on Lorentzian Geometry. Analysis and Geometry of pseudo-Riemannian Manifolds, Greifswald, 2009-07-20 to 2009-07-22
New Developments in Lorentzian Geometry, TU Berlin, 2009-11-18 to 2009-11-20
New Results on Global Hyperbolicity and Metric Completeness I + II, talks of the project group Lorentzian Geometry, TU Berlin, 2010-05-18 + 2010-05-25
Causality and Topology of Lorentzian Manifolds Admitting a Cartan Flow I + II, talks of the project group Lorentzian Geometry, TU Berlin, 2011-06-15 + 2011-06-22
Pinching the Fermat Metric in Stationary Spacetimes, (PDF), VI International Meeting on Lorentzian Geometry, Granada (Spain), 2011-09-09

Curriculum Vitae

1980	born in Lindau, Germany
10/02-09/04	Undergraduate studies in physics, Universität Augsburg (Augsburg, Germany)
10/04-09/08	Graduate studies in physics, Technische Universität Berlin (Berlin, Germany)
09/08	Dipl.-Phys. (M.Sc. in physics), Technische Universität Berlin (Berlin, Germany), Lorentzian Geometry group, Supervisors: Prof. Dr. H.-H. von Borzeszkowski & Priv.-Doz. Dr. M. Scherfner
04/09-03/12	Recipient of a Elsa-Neumann scholarship for my Ph.D. project in Lorentzian geometry
04/12-09/12	Wissenschaftlicher Mitarbeiter, TU Berlin, Department of Mathematics
since 10/12	Dozent, MINT-Kolleg, University of Stuttgart

	Why theoretical physics is hard to learn no matter how much you already know (2004, An interesting semi-popular essay on learning and teaching theoretical physics by Sergei Winitzki, LMU Munich, PDF)
	More is Different (1972, An article by P. W. Anderson (appeared in Science, Vol. 177, No. 4047) on broken symmetry, the nature of the hierarchical structure of science and the shift from quantitative to qualitative differentiations, PDF)