Lawrence Udeigwe

Assistant Professor, Mathematics

Education

  • PhD, Applied Mathematics - Information Science,  University of Pittsburgh, 2014.
    • Dissertation: Dynamical Systems of the BCM Learning Rule.
    • Advisors: G. Bard Ermentrout, Paul W. Munro  
  • MA, Mathematics,  University of Pittsburgh, 2008.
  • MS, Applied Mathematics, University of Delaware, 2006.
    • Thesis: Identification of objects in an acoustic waveguide - Numerical results and an introduction to an alternate approach via the method of images.
    • Advisor: Robert G. Gilbert.
  • BS, Mathematics, Duquesne University, 2004.
  • BA, Computer Science, Duquesne University, 2004.

Courses Taught

Spring 2018:  

  • Math 386: Partial Differential Equations
  • Matg 387: Real Analysis I

Past Semesters:

  • Math 100: Precalculus (Fa14)
  • Math 185: Calculus I (Fa14, Sp15, Su15, Fa15)
  • Math 186: Calculus II (Fa16, Sp16, Su16)
  • Math 285: Calculus III (Wi15, Sp15, Su15, Fa15, Wi16, Wi17, Sp17, Fa17)
  • Math 271: Linear Algebra (Sp17)
  • Math 286: Differential Equations  (Sp15, Sp16)
  • Math 386: Partial Differential Equations (Fa15, Sp16, Fa16, Sp17, Fa17)
  • Matg 511: Computational Methods for Analytics (Fa17)
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/Accepted 
    • L.C. Udeigwe, P.W. Munro, G. Bard Ermentrout. " Emergent Dynamical Properties of the BCM Learning Rule." Journal of Mathematical Neuroscience.  Vol 7:2, (2017), DOI: 10.1186/s13408-017-0044-6
    • 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
    •  
     
     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 
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  • 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)