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Courses
  • IODE
    Introduction to Ordinary Differential Equations

  • PM
    Probability Math

  • MPNA
    Mathematical Principles of Numerical Analysis

  • ILA
    Inroduction to Linear Algebra

  • ILA
    Introduction to Linear Algebra

  • TCV
    Theory of Complex Variables

  • SP
    Stochastic Processes

  • MA
    Matrix Analysis

  • CI
    Calculus I

  • TP
    Theory of Probability

  • PDE
    Partial Differential Equations

  • CII
    Calculus II

  • AODE
    Analysis of Ordinary Differential Equations

  • SDE
    Stochastic Differential Equations

Grants
  • Funding agency logo
    Seminar on Stochastic Processes 2023

    Co-Investigator (COI)

    2023

    $49.9K
    Active
  • Funding agency logo
    CAREER: Defects and singularities in liquid crystalline and bacterial systems

    Principal Investigator (PI)

    2011

    $438.1K
  • Funding agency logo
    Analytical Study of Liquid-Crystalline Patterns and Phase Transitions

    Principal Investigator (PI)

    2008

    $114.8K
Publications (25)
Recent
  • Gibbs measures on partitions and their evolutions

    2021

  • Limit Shapes for Gibbs Partitions of Sets

    2020

  • On Hydrodynamic Limits of Young Diagrams

    2018

  • Coalescing particle systems and applications to nonlinear Fokker ndash;Planck equations

    2018

  • Limit shapes for Gibbs ensembles of partitions

    2017

  • Category competition as a driver of category contrast

    2017

  • Hydrodynamics for a class of dynamic Young tableau

    2017

  • Coalescing particle systems and applications to nonlinear Fokker-Planck equations

    2017

  • Diffusive transport in two-dimensional nematics

    2014

  • A study of blow-ups in the Keller-Segel model of chemotaxis

    2013

  • A study of blow-ups in the Keller–Segel model of chemotaxis

    2012

  • Stochastic filtering for diffusion processes with level crossings

    2011

  • Reduced dynamics of stochastically perturbed gradient flows

    2010

  • Vortices in two-dimensional nematics

    2009

  • VORTICES IN TWO-DIMENSIONAL NEMATICS lowast;

    2009

  • On spatial variations of nematic ordering

    2008

  • Predicate signaling in distributed sensor networks

    2006

  • Critical points of the Onsager functional on a sphere

    2005

  • A Note on the Onsager Model of Nematic Phase Transitions

    2005

  • A computational strategy for multiscale systems with applications to Lorenz 96 model

    2004

  • Coarsening by diffusion-annihilation in a bistable system driven by noise

    2003

  • Statistical description of contact-interacting Brownian walkers on the line

    2003

  • Coarsening in stochastically perturbed Ginzburg-Landau-type equations and statistical studies of the Potts model

    2002

  • Anomalous relaxation and self-organization in nonequilibrium processes

    2001

  • Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems

    2001

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