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), 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.
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, 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.