
Roberto DeLeo, Ph.D.
Associate Professor
Address
Department of Mathematics
Howard University
Washington DC 20059
Office
Room 214 ASB
(202) 8067125
email: roberto.deleo@howard.edu
Home Page: http://138.238.192.157/~deleo/
Education
B.S. in Physics (1990), University of Cagliari (Italy)
Ph.D. in Physics (1994), University of Cagliari (Italy)
B.S. in Mathematics (1996), University of Cagliari (Italy)
M.A. in Pure Mathematics (1997), University of Maryland at College Park
Ph.D. in Pure Mathematics (2000), University of Maryland at College Park
CoOrganizer: BaltimoreWashington Metropolitan
Area Differential Geometry Seminar (MADGuyS)
Research Interests: Dynamics of solitonlike excitations in mechanical models of DNA, Asymptotics of Planar Sections of Periodic Surfaces, Topology of Foliations, Infinitesimal invertibility of Operators on Spaces of Smooth Functions, Cohomological Equation on the Plane, Real and Complex SelfProjective IFSs, Computational Topology
I am generally interested in the numerical and analytical study of
mathematically interesting problems coming from natural sciences. In particular I am studying the dynamics of solitonlike excitation in real
(inhomogeneous) DNA chains and the angular dependence of the magnetoresistance of a normal metal under a strong magnetic field. From
the mathematical point of view these problems involve solitons theory, numerical analysis of large conservative ODE systems, low dimensional
topology, Poisson dynamical systems and computational topology.
I am also interested in the NashGromov theory of isometric immersions and in the study of the solvability of
the cohomological equation in the plane.
Selected Publications
 R. De Leo, "Solvability of the
cohomological equation for regular vector fields on the plane", Annals of Global Analysis and Geometry, 39:3, 231248, 2011, arXiv:1007.3016v1
 G. D'Ambra, R. De Leo and A. Loi, "Partially Isometric Immersions and Free Maps", Geometriae Dedicata, 151:1, 7995, 2011, arXiv:1007.3024v1
 R. De Leo and I.A. Dynnikov, "Topology of plane sections of the infinite regular skew polyhedron {4,64}", Geometriae Dedicata, 138:1, 5167, 2009, arXiv:0804.1668v1
 M. Cadoni, R. De Leo and G. Gaeta, "A composite model for DNA torsion dynamics", Phys. Rev. E, 75, 021919 (21 pages), 2007,
arXiv:qbio/0604014v2
 R. De Leo, "Topology of plane sections of periodic polyhedra with an application to the Truncated Octahedron", Experimental Mathematics,
15(1), 109124, 2006, arXiv:math/0502219v2
 R. De Leo, "Numerical analysis of the Novikov problem of a normal metal in a strong magnetic field", SIAM J. on App. Dyn. Sys., 2(4),
517545, 2003, arXiv:mathph/0006023
