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Course Information
H. Scott Dumas
Professor
828 Old Chemistry Building
513-556-4068
scott.dumas@uc.edu
http://math.uc.edu/~dumas/
Research Support
DMS/Geometric Analysis, NSF Principal Investigatorship . Funded 1995 to 1998.
DMS/Applied Mathematics, NSF Principal Investigatorship . Funded 1992 to 1994.
C.P. Taft Travel and Research Grants , University of Cincinnati. Funded 1991 to 2006.
Naval Research Laboratory Grant, Funded 1989
American Fulbright Advanced Student Award, Funded 1986
Peer Reviewed Publications
Dumas, H. Scott, Ellison, J.A., & Hoffstatter, G. (2006). Adiabatic invariance of spin-orbit motion in accelerators. Physical Review ST - Accelerators and Beams, 9(1).
Dumas, H. Scott, & Ellison, J.A. (2005). Averaging for Quasiperiodic Systems. Proceedings of the International Conference on Differential Equations 726–731.
Dumas, H. Scott (2005). Mathematical theories of classical particle channeling in perfect crystals. NIM Physics Research Section B: Beam Interactions with Materials and Atoms, 234(1-2), 3-13.
Dumas, H. Scott, Ellison, J.A., & Vogt, M. (2004). First-order averaging principles for maps with applications to accelerator beam dynamics. SIAM Journal on Applied Dynamical Systems, 3(4), 409–432.
Dumas, H. Scott, Ellison, J.A., Salas, M., Sen, T., Sobol, A., & Vogt, M. (2003). Weak-strong beam-beam: averaging and tune diagrams. Beam Halo Dynamics, Diagnostics, and Collimation: 29th ICFA Advanced Beam Dynamics Workshop on Beam-Halo Dynamics and the Beam-Beam Interaction 282–286.
Dumas, H. Scott, Ellison, J.A., & Hoffstatter, G. (2002). Adiabatic invariants for spin-orbit motion. Proceedings of the Eighth European Particle Accelerator Conference 332–334. [Link]
Dumas, H. Scott, Ellison, J.A., & Golse, F. (2000). A mathematical theory of planar particle channeling in crystals. Physica, 146(1–4), 341–366.
Invited Presentations
(06/07/2006). Internat. Conf. on Nonlin. & Stochastic Dynamics. Chengdu, China.
(03/24/2004). Workshop on Relativistic Channeling. Frascati, Italy.
(07/22/2003). Equadiff 2003. Limburg University, Hasselt, Belgium.
Colloquia
(01/31/2006). Mathematics Colloquium. Albuquerque, NM.
Lectures
(02/23/2006). Seminar in Harmonic Analysis and PDE. University of New Mexico, Albuquerque, NM.
(10/11/2005). Joint DESY/University of Hamburg Physics Seminar, DESY-MPY. Hamburg, Germany.
(09/15/2005). Theoretical Physics Seminar. University of Warwick, Coventry, England.
(02-2005). Matemairacorana. Universidade Federal de Pernambuco, Recife, Brazil.
(07/29/2003). Oberseminar, IRAM, Rheinisch Westf. Technische Hochschule, Aachen, Germany.
(04/25/2002). Mathematics Colloquium. University of Cincinnati, Cincinnati, OH.
(03/19/2002). Seminar in Perturbation Theory. University of New Mexico, Albuquerque, NM.
(01/17/2002). Physics Colloquium. University of Cincinnati, Cincinnati, OH.
(09/14/2001). Applied Mathematics Seminar. University of New Mexico, Albuquerque, NM.
(04/16/2001). PACM Dynamical Systems/Nonlinear Science Seminar. Princeton U., Princeton, NJ.
(05/18/2000). Laboratoire de math´ematiques. Universit´e d’Orl´eans, France.
(03/22/2000). S´eminaire syst`emes dynamiques. Universit´e de Lille I, France.
