Brian Ryals
Curriculum Vitae
Last updated: October 23rd, 2015
Contact
Information
University of Southern California
Department of Mathematics
3620 S. Vermont Ave.
Los Angeles, California 90089 USA
United States Citizen
Research
Interests
Computational Dynamical Systems: Problems that require a combination of numerical
techniques and rigorous analysis.
Education
Courant Institute of Mathematical Sciences, New York University
ryals@usc.edu
Ph.D., Mathematics (September 2013)
• Advisor: Lai-Sang Young
• Thesis Title: Synchronization and phase-locking of coupled oscillators
Rensselaer Polytechnic Institute
M.S. in Applied Mathematics, December 2007
B.S. in Mathematics, May 2007
Publications
B. Ryals and L.S.-Young, Nonequilibrium steady states of some simple 1-D mechanical
chains. J. Stat. Phys. 146 (2012), No. 5, 1089-1103.
URL: http://link.springer.com/article/10.1007%2Fs10955-012-0437-6
B. Ryals and L.S.-Young, Horseshoes of Periodically-kicked van der Pol Oscillators.
Chaos 22, 043140 (2012).
URL: http://link.aip.org/link/?CHA/22/043140
B. Ryals, Synchronization and phase-locking of coupled oscillators. Ph.D Thesis, New
York University(2013).
B. Ryals and R. Sacker, Global stability in the 2D Ricker equation. Journal of Difference Equations and Applications, (to appear 2015)
URL: http://www.tandfonline.com/doi/abs/10.1080/10236198.2015.1065825
Mentored
Dynamical Processes of Complex Networks with Suzanne Angeolyn Dayrit, USC (SumUndergraduate
mer 2014)
Research Projects
Dynamics of particles on a 1-D chain with Hao-En Chang, USC (Spring 2015, Fall
2015). Project funded by SOAR.
Destructive Social Networks with Cheng Cheng, USC (Spring 2015, Fall 2015). Project
funded by SOAR and the USC Provost Fellowship.
A study of the Schelling Tipping Model with Siying Jia (Fall 2015).
Curriculum Vitae, Brian Ryals, 1
Conference
Talks
Nonequilibrium steady state of a 1D mechanical chain, Workshop on the Fourier Law
and Related Topics, Fields Institute. (April 2011)
Dynamics of N particles on a line segment, From Chaos to Complexity, University
of Warwick. (July 2011)
Synchronization and Phase-locking in a family of Coupled Oscillators, Joint Mathematics Meetings AMS, University of California Riverside (November 2013)
Revisiting Global Stability in the 2D Ricker Model Joint Mathematics Meetings AMS,
University of Alabama (March 2015)
Seminar Talks
Global Stability in the 2D Ricker Model Dynamical Systems Seminar, University of
Southern California. (October 2014)
Horseshoes of Periodically-kicked van der Pol Oscillators, Dynamical Systems Seminar,
University of Southern California. (November 2013)
Synchronization and Phase-locking in a family of Coupled Oscillators: Part III, Dynamical Systems Seminar, University of Southern California. (September 2013)
Synchronization and Phase-locking in a family of Coupled Oscillators: Part II, Dynamical Systems Seminar, University of Southern California. (September 2013)
Synchronization and Phase-locking in a family of Coupled Oscillators: Part I, Dynamical Systems Seminar, University of Southern California. (September 2013)
Systems of coupled oscillators, Dynamical Systems Seminar, Courant Institute. (August 2013)
A History of the Kuramoto Model, Dynamical Systems Seminar, Courant Institute.
(July 2013)
Dynamics of some models of forced oscillators, Math Biology Seminar, University of
Utah. (February 2013)
Horseshoes of Periodically-kicked van der Pol Oscillators, Dynamical Systems seminar, Rensselaer Polytechnic Institute. (November 2012)
Horseshoes of Periodically-kicked van der Pol Oscillators, Dynamical Systems seminar, Courant Institute. (November 2012)
Dynamical processes on complex networks, Dynamical Systems seminar, Courant Institute. (February 2012)
Epidemic and social networks: Part 2, Dynamical Systems seminar, Courant Institute. (March 2012)
Epidemic and social networks: Part I, Dynamical Systems seminar, Courant Insti-
Curriculum Vitae, Brian Ryals, 2
tute. (March 2012)
Nonequilibrium steady state of a 1D mechanical chain, Dynamical Systems seminar,
Courant Institute. (March 2011)
Informal lectures on networks, Dynamical Systems Seminar, Courant Institute. (Summer 2010)
Teaching
Experience
Fall
Spring
Spring
2015
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2015
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Lecturer, Calculus I (2 sections), USC
Lecturer, Nonlinear Dynamics in Science and Engineering, USC
Lecturer, Introduction to Mathematics for Business and Economics, USC
Lecturer, Calculus III (2 sections), USC
Lecturer, Math for Physics and Engineers II, USC
Lecturer, Calculus I (2 sections), USC
Teaching Assistant, Dynamical Systems, NYU
Teaching Assistant, Calculus I, NYU
Teaching Assistant, Dynamical Systems, NYU
Teaching Assistant, Calculus I, NYU
Center for Math Talent, NYU
Center for Math Talent, NYU
Teaching Assistant, Quantitative Reasoning, NYU
Teaching Assistant, Differential Equations, RPI
Teaching Assistant, Multivariable Calculus, RPI
Curriculum Vitae, Brian Ryals, 3