KTH / Department of Mathematics
Douglas Lundholm
Postdoctoral Researcher
Note: I am currently a postdoc at the University of Copenhagen.
Please see my new page for updated information.
Address: Department of Mathematics, KTH, 100 44 Stockholm
Visiting address: Room 3748, Lindstedtsvägen 25, 7th floor
Phone: 08-790 6488
Fax: 08-723 1788
Cellphone: 070-835 73 59
E-mail: dogge (alfakrull) math.kth.se
Research interests
Mathematical physics, including:
Clifford (geometric) algebras and their applications,
spectral theory of operators,
supersymmetric quantum mechanical systems (in particular matrix models),
quantum gravity and quantum geometry.
Reports and Publications
Partial Hamiltonian reduction of relativistic extended objects in light-cone gauge,
(with J. de Woul and J. Hoppe), June 2010 (preprint).
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Zero-energy states in supersymmetric matrix models,
Ph.D. thesis, May 2010. Corrections
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A dynamical symmetry for supermembranes,
(with J. de Woul, J. Hoppe and M. Sundin), April 2010 (preprint).
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Some spectral bounds for Schrödinger operators with Hardy-type potentials,
November 2009 (preprint).
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Clifford algebra, geometric algebra, and applications
(with L. Svensson), July 2009 (lecture notes).
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Weighted Supermembrane Toy Model,
Lett. Math. Phys. (2010) 92:125-141.
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Spin(9) Average of SU(N) Matrix Models I. Hamiltonian
(with J. Hoppe and M. Trzetrzelewski), J. Math. Phys. 50, 043510 (2009).
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Construction of the Zero-Energy State of SU(2)-Matrix Theory: Near the Origin
(with J. Hoppe and M. Trzetrzelewski), Nucl. Phys. B 817 (2009) 155-166.
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Octonionic twists for supermembrane matrix models
(with J. Hoppe and M. Trzetrzelewski), Ann. Henri Poincaré 10 (2009), 339-356.
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On the Geometry of Supersymmetric Quantum Mechanical Systems,
J. Math. Phys. 49, 062101 (2008).
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Dynamical Symmetries in Supersymmetric Matrix Models
(with V. Bach and J. Hoppe), Documenta Math. 13 (2008) 103-116.
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On the Construction of Zero Energy States in Supersymmetric Matrix Models IV
(with J. Hoppe), June 2007.
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Geometric (Clifford) algebra and its applications, January 2006 (Master of Science thesis).
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The Virasoro algebra and its representations in physics, January 2005 (course report).
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Geometric Algebra and its Applications to Physics, November 2004 (course report).
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Courses
Clifford algebra, geometric algebra, and applications, Spring 2009 (PhD course)
Graduate student seminars
Spectral theory of the Weighted Supermembrane Toy Model, October 2009
Refined Algebraic Quantization, February 2008
Geometry of simple supersymmetric systems, May 2007
Conformal geometry using geometric algebra, April 2006
Conferences and other events
School and Workshop on Quantum Gravity and Quantum Geometry,
Corfu Summer Institute, September 2009
ENIGMA 2008, Trieste, October 2008 (presented a poster)
ICCA 8, Campinas, May 2008 (gave a talk)
Problem Exchange Weekend 2007 for PhD-students of the Math. Dept. (part-organizer)
Aspects of Membrane Dynamics, Summer School 2007 (assisted the organizers; gave a talk)
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