Katherine Newhall
Office: 1311 Warren Weaver Hall
Email: newhall (at) cims (dot) nyu (dot) edu
Courant Institute of Mathematical Sciences
251 Mercer Street
New York, NY 10012
Curriculum vitae: [pdf]
Contact Info:
New York University - Courant Institute
2004 B.S. in Applied Physics and Applied Mathematics from Rensselaer
Polytechnic Institute, concentration in material optics
2006 M.S. in Mechanical Engineering from Rensselaer Polytechnic Institute,
thesis entitled, “Turbulent Boundary Layers: A look at Skin Friction,
Pressure Gradient and Surface Roughness” with Luciano Castillo
2011 Ph.D. in Mathematics at Rensselaer Polytechnic Institute
with Peter Kramer, Gregor Kovacic and David Cai entitled, “Synchrony
in Stochastically-Driven Neuronal Network Models”
Sept 2011 - Present Courant Instructor at New York University, Courant Institute
for Mathematical Sciences
Summer 2011 Research Postdoc at New York University, Department of
Physics, with Jasna Brujic
Stochastic modeling, analysis and simulation: (1) Investigating synchronous behavior of stochastic pulse-coupled Integrate-and-Fire neuronal network models.
(2) Understanding properties of random close packing of spheres from local, granocentric, probabilistic models. (3) Simulating dynamics of soliton propagation through stochastically prepared materials.
Education:
Recent Publications:
K. Newhall, I. Jorjadze, E. Vanden-Eijnden, and J. Brujic (2011) A statistical mechanics framework captures the packing of monodisperse particles, Soft Matter, 7, 11518-11525
I. Jorjadze, L. Pontani, K. Newhall and J. Brujic (2011) Attractive emulsion droplets probe the phase diagram of jammed granular matter, PNAS
K. Newhall, A. Traud, P. Kramer and P. Mucha (2011) Network topology effects on cascade-induced synchrony in stochastic dynamics, submitted to Chaos
K. Newhall, M. Shkarayev, P. Kramer, G. Kovacic, and D. Cai (2010) Synchrony in stochastically-driven neuronal networks with complex topology, submitted to Phys. Rev. E.
[pdf] K. Newhall, G. Kovacic, P. Kramer, A. Rangan, and D. Cai (2010) Cascade-Induced Synchrony in Stochastically-Driven Neuronal Networks, Phys. Rev. E., 82, 041903.
[pdf] K. Newhall, G. Kovacic, P. Kramer, D. Zhou, A. Rangan, and D. Cai (2010) Dynamics of Current-Based, Poisson Driven, Integrate-and-Fire Neuronal Networks, Comm. in Math. Sci., Vol. 8, No. 2, pp. 541-600.
Teaching Experience:
Fall 2011 Mathematics of Finance
Fall 2008 Substitute lectures for Dynamical Systems
Spring 2007 Teaching Assistant for Calculus II
Fall 2006 Teaching Assistant for Introduction to Differential Equations and
Substitute for lectures
Fall 2006 Teaching Assistant for Mathematical Analysis I
Fall 2005 Teaching Assistant for Thermodynamics and Fluid Mechanics II and
Substitute for lectures
Spring 2005 Teaching Assistant for Thermodynamics and Fluid Mechanics I
2002-2004 Undergraduate Teaching Assistant for Physics II
Selected Talks:
SIAM Conference on Applications of Dynamical Systems (May 2011) Snowbird UT, Dynamical regimes of integrate-and-fire neuronal network models
Invited Speaker, Biomathematics Conference (Mar 2011) University of Florida, Synchrony in Stochastic Pulse-coupled Neuronal Network Models
Mathematical Biology Colloquium Seminar (Jan 2011) Duke University, Durham NC, Synchrony in Stochastic Pulse-coupled Neuronal Network Models
Emerging Topics in Dynamical Systems and Partial Differential Equations (Jun 2010) Barcelona Spain, Synchrony in Stochastic Pulse-coupled Neuronal Network Models
Invited Speaker, Frontiers in Nonlinear Waves Conference (Mar 2010) University of Arizona, Synchrony in Stochastic Pulse-coupled Neuronal Network Models
Stochastic Models in Neuroscience (Jan 2010) CIRM Marseille France, Synchrony in Stochastic Pulse-coupled Neuronal Network Models
NYU Applied Math Lab Seminar (Oct 2009) Synchrony in Stochastic Pulse-coupled Neuronal Network Models
Invited Speaker, SAMSI Opening workshop on Stochastic Dynamics - Dynamics of Biological Networks Theme (Sep 2009) Synchrony in Stochastic Pulse-coupled Neuronal Network Models
BU Neurodynamics Group Seminar (July 2009) Synchronous Dynamics of a Current-Based Integrate-and-Fire Neuronal Network
Invited Speaker, SIAM Conference on Applications of Dynamical Systems Mini Symposium (May 2009) Synchronous Behavior in a Current-Based Neuronal Network
Employment: