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
SU(2)-Donaldson invariants of the complex projective plane, (with Michael Griffin, Ken Ono), submitted.
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.
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.
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.