Andreas Malmendier

Sabbatical: 09/01/2013 - 08/31/2014

Assistant Professor of Mathematics

Fax: 207-859-5846
Malmendier, Andreas

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

  • Algebraic Geometry
  • Gauge Theory
  • String Theory

Professional Information

Faculty of Science Visiting Scholar, University of Alberta, Spring 2014.
Visiting Scholar, University of California Berkeley, Fall 2013.
Scholar of the Kavli Institute for Theoretical Physics (KITP), 2011-2013.

Current Research

Publications


  1. SU(2)-Donaldson invariants of the complex projective plane, (with Michael Griffin, Ken Ono),
    Forum Math. DOI: 10.1515/forum-2013-6013, July 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

Supervised Student Research

Arjumand Masood, Honors Project (2013), Title: Hyperelliptic solitons of the KdV equation.
Alex Barron, Honors Project (2013), Title: The Eichler-Selberg trace formula for Hecke operators.
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.

Research Talks (Videos)

  1. Multi-parameter families of K3 surfaces and hypergeometric functions,
    Workshop on Hodge Theory in String Theory, November 2013, Fields Institute, Toronto.
  2. Heterotic/F-theory duality and lattice polarized K3 surfaces,
    Workshop on Modular Forms around String Theory, September 2013, Fields Institute, Toronto.

Conference Organizer

  1. String-Math, University of Alberta, Edmonton, June 9-13, 2014.
  2. AMS Special Session on Arithmetic of Algebraic Curves, University of Tennessee, Knoxville, March 21-23, 2014.

 


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