Lawrence Udeigwe

Assistant Professor

Mathematics

Education

  • PHD, University of Pittsburgh
  • MS, University of Delaware
  • MA, University of Pittsburgh
  • BS, Duquesne University
  • BA, Duquesne University

Courses Taught

Spring 2016:  

Math 186: Calculus II
Math 286: Differential Equations
Math 386: Partial Differential Equations

Past Semesters:

Math 100: Precalculus (Fa14)
Math 185: Calculus I (Fa14, Sp15, Su15, Fa15)
Math 285: Calculus III (Wi15, Sp15, Su15,Fa15,Wi16)
Math 286: Differential Equations  (Sp15)
Math 386: Partial Differential Equations (Fa15)

Fa=Fall, Sp=Spring, Su=Summer, Wi= Winter.

 

 

  • Research

    My research areas of interest are :

    Differential equations and dynamical systems
    Oscillations and pattern formation in biology
    Mathematical and computational neuroscience
    Applications of neural computations in data mining and machine learning

  • Publications and Scholarly Activities

    Published

    L.C. Udeigwe and G.B. Ermentrout. “Waves and patterns on regular graphs.” SIAM Journal on Applied Dynamical Systems Vol. 14(2), 1102-1129, 2015
     
    L.C. Udeigwe, Dynamical systems of the BCM learning rule: emergent properties and application to clustering (PhD dissertation). University of Pittsburgh, 2014
     
    L.C. Udeigwe and G.B. Ermentrout, and P.W. Munro. Oscillation and chaos in the dynamics of the BCM learning rule. BMC Neuroscience Vol. 14 (1), 2013
     
    D.B. Smith, L. C. Udeigwe, and J. Rubin. Physical interactions between D1 and NMDA receptors as a possible inhibitory mechanism to avoid excessive NMDA currents. BMC Neuroscience Vol. 8 (2), 2007
     
    L.C. Udeigwe, Identification of objects in an acoustic waveguide: Numerical results and an introduction to an alternate approach via the method of images (Masters thesis). 2006
     
    In Preparation
     
     L.C. Udeigwe and G.B. Ermentrout, and P.W. Munro. Dynamical systems of the cortical neuron
     
    Select presentations and posters     
     
    L. C. Udeigwe. “The Effect of Homeostatic Time-Scale Adjustment of the BCM Learning Rule”. Sense to Synapse Conference, Rockefeller University, New York. 2016
     
    L. C. Udeigwe. “The Perceptron: Overview, Convergence Theorem, Self-Supervision” Manhattan College, Department of Mathematics Seminar Series Riverdale, NY. April 13, 2016.
     
    L. C. Udeigwe. Oscillators and patterns on a sphere. Manhattan College, Department of Mathematics Seminar Series Riverdale, NY. April 22, 2015
     
    L.C. Udeigwe, G.B Ermentrout, and P. W. Munro. Emerging Dynamics of cortical neuronal selectivity. Temporal Dynamics of Learning Center, USDC, Annual spring retreat La Jolla, Ca. February 6th, 2014
     
    L.C. Udeigwe, G.B Ermentrout, and P. W. Munro. Dynamics of cortical plasticity: oscillatory, toroidal, and chaotic properties of the BCM learning model. Complex Biological Systems seminar, University of Pittsburgh Pittsburgh, Pa. October 10th, 2013
     
     L.C. Udeigwe, G.B Ermentrout, and P. W. Munro. Exploring the dynamics of the BCM learning rule. Temporal Dynamics of Learning Center, USDC, Annual Fall retreat La Jolla, Ca. August 26th, 2013
     
    L. C. Udeigwe, G. B. Ermentrout, and P. W. Munro. Oscillatory and chaotic dynamics of the BCM learning rule. Annual Computational Neuroscience Meeting, Paris, France. July 17th, 2013 
     
    L.C. Udeigwe and G.B Ermentrout. Non-synchronous oscillations on graphs. SIAM Conference on Applications of Dynamical Systems. May 24th, 2011 
     
    L.C. Udeigwe and G.B Ermentrout. Coupled neural oscillators on the surface of a sphere. Complex Biological Systems seminar, University of Pittsburgh Pittsburgh, Pa. Sept 14th, 2010
     
    L.C. Udeigwe and G.B Ermentrout. Application of non-synchronous oscillations on graphs. SIAM Conference on the Life Sciences, Pittsburgh, Pa. July 14th, 2010 
     
  • Professional Experience and Memberships

    Memberships:

    Sigma Si (2016--present)
    Mathematical Association of America (2004—present)
    Organization for Computational Neuroscience (2012—present)
    Society of Industrial and Applied Mathematician (2004—present)