Area of research
Computer Networks and Communications · Statistical and Nonlinear Physics
Research interest
Research interests include Nonlinear Dynamics and Pattern Formation, Slime Mold and Myxomycetes Research, Complex Network Analysis Techniques, and Opinion Dynamics and Social Influence.
Surprises in a Classic Boundary-Layer Problem
Comparing the efficiency of forward and backward contact tracing
Fifty years of ‘More is different’
Asymptotic Absorption-Time Distributions in Extinction-Prone Markov Processes
A global synchronization theorem for oscillators on a random graph.
Modeling the Interplay Between Seasonal Flu Outcomes and Individual Vaccination Decisions.
Coupled metronomes on a moving platform with Coulomb friction.
Exploring the electric field around a loop of static charge: Rectangles, stadiums, ellipses, and knots
Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales
Designing temporal networks that synchronize under resource constraints.
The Kuramoto model on a sphere: Explaining its low-dimensional dynamics with group theory and hyperbolic geometry.
Sufficiently dense Kuramoto networks are globally synchronizing.
Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales.
How a minority can win: Unrepresentative outcomes in a simple model of voter turnout
Dense networks that do not synchronize and sparse ones that do.
Descendant distributions for the impact of mutant contagion on networks
The Kuramoto model on a sphere: Explaining its low-dimensional dynamics with group theory and hyperbolic geometry
Conformational control of mechanical networks
Fitness dependence of the fixation-time distribution for evolutionary dynamics on graphs.
Quantifying the sensing power of vehicle fleets.
Addressing the minimum fleet problem in on-demand urban mobility
Oscillators that sync and swarm
Dynamics on Expanding Spaces: Modeling the Emergence of Novelties
Quantifying the benefits of vehicle pooling with shareability networks
The dynamics of correlated novelties
Mean-field behavior in coupled oscillators with attractive and repulsive interactions
Education of a model student
RTG: Dynamics, Probability, and Partial Differential Equations in Pure and Applied Mathematics
Nonlinear Dynamics of Oscillator Networks
Mathematical Biology: Nonlinear Dynamics of Oscillator Networks
Nonlinear Dynamics of Oscillator Networks
IGERT: Program in Nonlinear Systems
Mathematical Sciences: Mutual Synchronization of Biological Oscillators
Mathematical Sciences: Nonlinear Dynamics of Oscillator Arrays
Mathematical Sciences: Presidential Young Investigator Award
Mathematical Sciences: Large Systems of Coupled Oscillators in Biology and Physics
Mathematical Sciences: Large Systems of Coupled Oscillators in Biology and Physics
Mathematical Sciences: Presidential Young Investigator Award
Mathematical Sciences: Large Systems of Coupled Nonlinear Oscillators
Mathematical Sciences Postdoctoral Research Fellowship