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

(to be UNC Chapel Hill starting Fall 2014!)


Curriculum vitae: [pdf]

Research Statement: [pdf]

Teaching Statement: [pdf]


Google Scholar Page

 

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.


A Full Listing

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


A Full Listing

Employment: