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About AME Degree Programs Admission Financial Aid Research Areas Personnel Seminars Students Books News  Paul K. Newton Address: University of Southern California Department of Aerospace and Mechanical Engineering Los Angeles, California 90089-1191 Office: RRB 221 Tel. (213) 740-7782 Fax. (213) 740-7774 email: newton@usc.edu website: http://physicsoncology.org/default.aspx Academic rank: Professor Education: 1985 Ph.D., Applied Mathematics, Brown University 1981 B.Sc., Applied Mathematics/Physics, Harvard University USC Academic Positions: 1998-: Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics 1993-1998: Associate Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics Other Professional Positions: 1992-1993: Associate Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois 1987-1992: Assistant Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois 1989: Visiting Assistant Professor, Division of Applied Mathematics, Brown University 1985-1987: Postdoctoral Fellow, Department of Mathematics, Stanford University Research Interests: Nonlinear dynamical systems, Fluid mechanics, Vortex dynamics, Probabilistic game theory, Mathematical modeling of cancer metastasis Selected Publications: P. K. Newton, The N-Vortex Problem: Analytical Techniques (Series: Applied Mathematical Sciences). Berlin: Springer-Verlag, 2001. P.K. Newton and T. Sakajo, "Point vortex equilibria on the sphere via Brownian ratchets," Proc. Roy. Soc. A 465, pp. 437-455, 2009. P.K. Newton and G. Chamoun, "Vortex lattice theory: A particle interaction perspective," SIAM Review, 51, Issue 3, pp. 501-542, 2009. P.K. Newton and H. Shokraneh, "Interacting dipole pairs on a rotating sphere," Proc. Roy. Soc. A, 464 pp. 1525-1541, 2008. P.K. Newton, G. Chamoun, "Construction of point vortex equilibria via Brownian ratchets," Proc. Roy. Soc. A 463, 1525-1540, 2007. P.K. Newton and S.D. Ross, "Chaotic advection for the restricted four-vortex problem on a sphere," Physica D 223(1), 36-53, 2006. P.K. Newton and K. Aslam, "Monte Carlo Tennis," SIAM Review 48(4), 722-742, 2006. M.I. Jamaloodeen and P.K. Newton, "The N-vortex problem on a rotating sphere. II. Heterogeneous equilibria," Proc. Roy. Soc. A 462, 3277-3299, 2006. P.K. Newton and H. Shokraneh, "The N-vortex problem on a rotating sphere. I. Multi-frequency states," Proc. Roy. Soc. A 462, 149-169, 2006. P.K. Newton, B. Cooley, "Iterated impact dynamics from N-beads on a ring," SIAM Review 42(2), 273-300, 2005. More publications... Professional Societies: American Physical Society (APS) Society for Industrial and Applied Mathematics (SIAM) American Mathematical Society (AMS) Honors and Awards: 1993-1994: Beckman Institute Research Fellow Award 1993: Oakely-Kund Teaching Award (University Finalist) 1981-1982: Brown University Fellowship 1978-1981: Harvard University Scholarship for Academic Achievement Courses Taught: AME 525, 526: Engineering Analysis I, II AME 530 a,b: Dynamics of Incompressible Fluids AME 511: Compressible Gas Dynamics AME 626: Singular Perturbation Methods AME 630: Transition to Chaos in Dynamical Systems Recent Professional Development Activities: Editorial Board: Journal of Nonlinear Science Editorial Board: Texts in Applied Mathematics, Springer-Verlag Advisory Board: Strategic Analytics, Santa Fe, New Mexico Back to top

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