Assistant Professor of Mathematics
Mathematics and Statistics
S G Mudd 409
Andreas.Malmendier (@) colby.edu
5835 Mayflower Hill
Waterville, Maine 04901-8858
Ph.D. in Mathematics, MIT
Diplom (M.A.) in Physics, University of Bonn Vordiplom (B.A.) in Mathematics, University of Bonn Vordiplom (B.A.) in Physics, University of Bonn
Areas of Expertise:
Differential Geometry Gauge Theory String Theory
Scholar of the Kavli Institute for Theoretical Physics (KITP), 2011-2013. Visiting Scholar, University of California Berkeley, Fall 2013. Faculty of Science Visiting Scholar, University of Alberta, Spring 2014.
Other Courses Taught
Partial Differential Equations
Moodle (Colby use only)
Recent papers on the arXiv
SU(2)-Donaldson invariants of the complex projective plane, (with Michael Griffin, Ken Ono), accepted for publication in Forum Math. (2013).
M24 Moonshine and Donaldson invariants of CP^2, (with Ken Ono), Commun. Number Theory Phys. 6 (2013), no. 4, 1-12.
SO(3)-Donaldson invariants of CP^2 and Mock Theta Functions, (with Ken Ono), Geom. Topol. 16 (2012), no. 3, 1767-1833.
Kummer surfaces associated with Seiberg-Witten curves, J. Geom. Phys. 62 (2012), no. 1, 107-123.
The signature of the Seiberg-Witten surface, Surveys in differential geometry. Volume XV. Perspectives in mathematics and physics, 255-277, Surv. Differ. Geom., 15, Int. Press, Somerville, MA, 2011.
Donaldson invariants of CP^1 x CP^1, Commun. Number Theory Phys. 5 (2011), no. 1, 203-229.
The eigenvalue equation on the Eguchi-Hanson space, J. Math. Phys. 44 (2003), no. 9, 4308-4343.
Relativitaetstheorie auf dem Homecomputer (German). [Visualizing special theory of relativity], Physik in der Schule, 35 (1997), no. 1, 30-33.
CBB-Mellon Junior Faculty Grant on Modular forms in solid state physics with Martin Zwierlein (MIT), 2013.
Colby College Natural Sciences Division Research Grants 2011, 2012, 2013.
I am the organizer, with Fernando Gouvea, of the
Mathematics and Statistics Colloquium (since 2011).
TEDx Talk on
Curvature and Relativity.
Supervised Student Research
Arjumand Masood, Honors Project (EXP 2013), Title:
Hyperelliptic solitons of the KdV equation. Anika Lindemann, Honors Project (2012), Title: Parity of rank in a rational elliptic surface. Irina Cazan, Honors Project (2011), Title: Kalman Filters. Eli Dupree, Independent Study, Title: Geometric models for computer simulations. Arjumand Masood, Independent Study, Title: Solitons and the geometry of the KdV equation. Christopher Hoder, Independent Study, Title: PDEs and their applications in quantum mechanics. Katherine Smith, Independent Study, Title: Integration on manifolds.