Andreas Malmendier
Sabbatical: 09/01/2013 - 08/31/2014
Assistant Professor of Mathematics
Mathematics and Statistics



Fax: 859-5846
Email:

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.
Visiting Scholar, University of California Berkeley, Fall 2013.
Faculty of Science Visiting Scholar, University of Alberta, Spring 2014.

Current Research

Recent papers on the arXiv

Publications

  1. SU(2)-Donaldson invariants of the complex projective plane, (with Michael Griffin, Ken Ono), accepted for publication in Forum Math. (2013).
  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.

Outreach

TEDx Talk on Curvature and Relativity.

Supervised Student Research

Arjumand Masood, Honors Project (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.