
Todd Drumm, Ph.D.
Associate Professor
Address
Department of Mathematics
Howard University
Washington DC 20059
Office
Room 214 ASB
2028067125
email: tdrumm@howard.edu
Education
Ph.D. (1990) University of Maryland
Research Interests: Lorentzian Geometry, Hyperbolic Geometry, 3D Polyhedra
Much of my research has been concerned with Lorentzian geometry, the natural home of Einstein's theory of special relativity and where you can walk a crooked mile to find a crooked plane and a crooked halfspace. I am particularly interested in the applications of Lorentzian geometry to its close relative, hyperbolic geometry.
I am also interested in understanding the geometry of the bidisk, the hyperbolic plane cross the hyperbolic plane, more fully.
One of my visualization projects is to draw polygonal flat tori, and other translation surfaces in 3space.
Selected Publications
 A Primer on the (2+1) Einstein Universe, to appear in Recent developments in pseudoRiemannian Geometry, ESISeries on Mathematics and Physics (with T. Barbot, V. Charette, W. Goldman and K. Melnick)
 Strong isospectrality of Lorentz spacetimes,J. Diff. Geom. 66 (2004), pp. 451  466 (with V. Charette)
 Closed timelike curves in flat Lorentz spacetimes,J. Geom. and Phys. 46, Issues 3  4 (2003), pp. 394  408 (with V. Charette, and D. Brill)
 Ford and Dirichlet domains for cyclic subgroups of PSL(2,C) acting on H^3 and dH^3, Conform. Geom. Dynam. 3 (1999), pp. 116  150 (with J. Poritz)
 The geometry of crooked plane, Topology 38, No. 2 (1999), pp. 323  352 (with W. Goldman)
 Linear holonomy of Margulis spacetimes, J. Diff. Geom. 38, No. 3 (1993), pp. 679  691
 Fundamental polyhedra for Margulis spacetimes, Topology, 31, No. 4 (1992), pp. 677  683
