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.


A Full Listing

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



A Full Listing

Employment: