Dane Robert Taylor
Ph.D. Candidate ~ Expected 2013

Department of Applied Mathematics
526 UCB
University of Colorado
Boulder, CO 80309-0526

dane.taylor((at))colorado.edu

As a research assistant for Juan G. Restrepo, I am currently extending recent advances in network science to address a range of applications. This and my undergraduate research has led to my current position as Lockheed Martin’s Colorado ARC’s Scholar at CU. While my interests typically fall under the umbrella term of "complex systems," I am particularly interested in studying network-related dynamics for which the dynamics simultaneously adhere to and mold the network (e.g., memory formation). In this pursuit, my main directions of research include: (i) fundamental approaches for the design and modification of network topology; (ii) percolation theory for understanding system robustness and security; and (iii) percolation-type dynamics such as synchronization, neural excitation, and epidemic spreading. Other graduate students in our group include Dan Larremore and Per Sebastion Skardal with whom I often collaborate and seek expertise.

[1] D. Taylor and D. B. Larremore, Social Climber attachment in forming networks produces phase transition in "connectivity," under review. [arXiv]

[2] D. Taylor and J. G. Restrepo, A network-specific approach to percolation in complex networks with bidirectional links, EPL 98, 16007 (2012). [PDF] [EPL]

[3] D. Taylor and J. G. Restrepo, Network connectivity during mergers and growth: Optimizing the addition of a module, Physical Review E 83, 066112 (2011). [PDF] [PRE]

[4] D. Taylor, E. Ott, and J. G. Restrepo, Spontaneous synchronization of coupled oscillator systems with frequency adaptation, Physical Review E 81, 046214 (2010). [PDF] [PRE]

[5] A. Shastry, D. Taylor, and K. Böhringer. Micro-structured surface ratchets for droplet transport. Solid-State Sensors, Actuators and Microsystems (Transducers '07). Lyon, France. (2007). [PDF] [IEEE]