Katherine Newhall

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: Understanding large-scale and long-time dynamics of physical and biological systems through analysis and simulations of simple yet physically relevant models. The mathematical problems I work on also help to explain experimentally observable phenomena, exposing underlying mechanisms to intuitively explain the system's behavior.

Education:

Recent Publications:

[pdf] K. Newhall, E. Vanden-Eijnden (2013) Averaged equation for energy diffusion on a graph reveals bifurcation diagram and thermally assisted reversal times in spin-torque driven nanomagnets, J. Appl. Phys., Vol. 113, No. 18, 184105

[pdf] J. Zhang, K. Newhall, D. Zhou, A. Rangan (2013) Distribution of correlated spiking events in a population-based approach for Integrate-and-Fire networks, J. Comput. Neurosci., published online

[pdf] K. Newhall, E. Atkins, P. Kramer, G. Kovacic, I. Gabitov (2013) Random polarization dynamics in a resonant optical medium, Optics Letters, Vol. 38, No. 6, pp. 893-895

[pdf] K. Newhall, L. Pontani, I. Jorjadze, S. Hilgenfeldt, J. Brujic (2012) Size-topology relations in packings of grains, emulsions, foams and biological cells, PRL, 108, 268001

[pdf] 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

[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.

Teaching Experience:

Fall 2013 Mathematics of Finance

Spring 2013 Ordinary Differential Equations

Fall 2012 Calculus II

Spring 2012 Calculus II

Fall 2011 Mathematics of Finance

Spring 2007 Teaching Assistant for Calculus II

Fall 2006 Teaching Assistant for Introduction to Differential Equations

Fall 2006 Teaching Assistant for Mathematical Analysis I

Fall 2005 Teaching Assistant for Thermodynamics and Fluid Mechanics II

Spring 2005 Teaching Assistant for Thermodynamics and Fluid Mechanics I

2002-2004 Undergraduate Teaching Assistant for Physics II

Selected Talks:

SIAM Dynamical Systems (May 2013) Snowbird, UT, Dynamics of Nanomagnets with Spin-Transfer Torques

Invited Speaker, Mathematical Biology Seminar (Jan 2013) NJIT, NJ, Synchronous Firing Events in Stochastic Neuronal Network Models

Invited Speaker, Applied Mathematics Seminar (Oct 5, 2012) UNC Chapel Hill, NC, Dynamics of Nanomagnets with Spin-Transfer Torques

SIAM Nonlinear Waves (June 2012) Seattle, WA, Monte-Carlo Simulations of a Stochastic Maxwell-Bloch System

Computational Statistical Mechanics Seminar (Apr 2012) CIMS, Thermally induced magnetization reversals

O’Hern Group Meeting (Mar 2012) Yale, Granular Matter, Foams, and Beyond: Applications of the Granocentric Model

APS March Meeting (Mar 2012) Boston, MA, Granular Matter, Foams, and Beyond: Applications of the Granocentric Model

Applied Math Seminar (Nov 2011) CIMS, Investigating jammed matter from a granocentric point of view

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

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

Employment: