Andreas Malmendier
Assistant Professor of Mathematics
Mathematics and Statistics


Office: S G Mudd 409
Phone: 207-859-5835
Fax: 859-5846
Email:

Mailing Address:
5835 Mayflower Hill
Waterville, Maine 04901-8858

Semester Schedule

Education

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
Professional Information

Scholar of the Kavli Institute for Theoretical Physics (KITP), 2011-2013.
Faculty of Science Visiting Scholar, University of Alberta, 2013.

Other Courses Taught
Course Course Title
MA122 Multivariable Calculus
MA194 Mathematics Seminar
MA311 Differential Equations
MA331 Topology
MA351 Complex Analysis
MA411 Partial Differential Equations
Coursework

Moodle (Colby use only)

Current Research

Recent papers on the arXiv

Publications

  1. SU(2)-Donaldson invariants of the complex projective plane, (with Michael Griffin, Ken Ono), submitted.
  2. M24 Moonshine and Donaldson invariants of CP^2, (with Ken Ono), Commun. Number Theory Phys. 6 (2013), no. 4, 1-12.
  3. SO(3)-Donaldson invariants of CP^2 and Mock Theta Functions, (with Ken Ono), Geom. Topol. 16 (2012), no. 3, 1767-1833.
  4. Kummer surfaces associated with Seiberg-Witten curves, J. Geom. Phys. 62 (2012), no. 1, 107-123.
  5. 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.
  6. Donaldson invariants of CP^1 x CP^1, Commun. Number Theory Phys. 5 (2011), no. 1, 203-229.
  7. The eigenvalue equation on the Eguchi-Hanson space, J. Math. Phys. 44 (2003), no. 9, 4308-4343.
  8. Relativitaetstheorie auf dem Homecomputer (German). [Visualizing special theory of relativity], Physik in der Schule, 35 (1997), no. 1, 30-33.

Funded Grants

  • 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, 2012-2013.
Mathematics Colloquium

I am the organizer, with Fernando Gouvea, of the Mathematics and Statistics Colloquium (since 2011).

Outreach

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.