KMap
Courses
  • ASP
    Applied Stochastic Processes

  • ILA
    Introduction to Linear Algebra

  • MAE
    Mathematical Analysis for Engineers

  • LAD
    Linear Algebra for Data Science

  • CII
    Calculus II

  • TAM
    Topics in Applied Mathematics

  • TP
    Theory of Probability

  • DSC
    Dynamical Systems and Chaos

  • PMA
    Principles and Methods of Applied Mathematics

  • ISB
    Introduction to Statistics and Biostatistics

  • IOD
    Introduction to Ordinary Differential Equations

Student Thesis/Dissertation
  • A Nonparametric Test for Equality of Distributions

    2021

    masters
  • Extension of the Group Invariance Theorem for Perceptrons

    2020

    bachelors
  • A Bayesian Approach to Spike Sorting of Neural Data via Source Localization

    2018

    doctoral
  • Constraining frisbee tracking methods through Bayesian analysis of flying disc models

    2018

    bachelors
  • Monte Carlo Methods for Stochastic Differential Equations and their Applications

    2017

    doctoral
  • An Investigation of In-Silico Evolving Networks

    2017

    bachelors
  • SYMMETRIZED IMPLICIT SAMPLING FOR PARTLICE FILTER

    2016

    Bachelors
Grants
  • Funding agency logo
    RTG: Applied Mathematics and Statistics for Data-Driven Discovery

    Principal Investigator (PI)

    2020

    $1.7M
    Active
  • Funding agency logo
    CDS&E-MSS: Predictive Modeling and Data-Driven Closure of Chaotic and Noisy Dynamics in Discrete Time

    Principal Investigator (PI)

    2018

    $200.0K
    Active
  • Funding agency logo
    Computational Nonlinear Dynamics: Variance Reduction Methods and Numerical Studies of Large, Chaotic, and Noisy Systems

    Principal Investigator (PI)

    2014

    $220.0K
  • Funding agency logo
    Computational Analysis of Large Dynamical Systems

    Principal Investigator (PI)

    2009

    $249.3K
News
  • Playing the Odds to Your Favor

    2012

Publications (45)
Recent
  • A comparison of probe geometries for neuronal localization

    2022

  • Data-driven model reduction, Wiener projections, and the Mori-Zwanzig formalism

    2021

  • Conjunctive reward-place coding properties of dorsal distal CA1 hippocampus cells

    2020

  • Multilevel Monte Carlo for Cortical Circuit Models

    2020

  • Data assimilation with stochastic reduced models quantifying model error

    2018

  • Data-based stochastic model reduction for the Kuramoto–Sivashinsky equation

    2017

  • Symmetrized importance samplers for stochastic differential equations

    2017

  • Symmetrized Importance Samplers for Uncertainty Quantification and Data Assimilation

    2016

  • Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems

    2016

  • Revisiting chaos in stimulus-driven spiking networks: signal encoding and discrimination

    2016

  • A discrete-time approach to stochastic model reduction for spatiotemporally chaotic systems

    2016

  • Encoding in balanced networks: revisiting spike patterns and chaos in stimulus-driven systems

    2016

  • Small‐Noise Analysis and Symmetrization of Implicit Monte Carlo Samplers

    2016

  • Data-driven stochastic parameterization and dimension reduction in nonlinear dynamics

    2016

  • Control theory and experimental design in diffusion processes

    2014

  • Small-noise analysis and symmetrization of implicit Monte Carlo samplers

    2014

  • A Global Approach to the Identification of Model Noise

    2014

  • Stimulus-response reliability of biological networks

    2013

  • Limitations of perturbative techniques in the analysis of rhythms and oscillations

    2013

  • Chaos and reliability in balanced spiking networks with temporal drive

    2013

  • Phase-amplitude descriptions of neural oscillator models

    2013

  • The influence of multiple firing events on the formation and stability of activity patterns in continuous attractor networks

    2013

  • Spatial scale and place field stability in a grid-to-place cell model of the dorsoventral axis of the hippocampus.

    2013

  • Modeling temporal networks using random itineraries

    2013

  • Reliability of Driven Oscillator Networks

    2012

  • Coding, stability, and non-spatial inputs in a modular grid-to-place cell model

    2012

  • Dynamics of periodically kicked oscillators

    2010

  • Nonequilibrium steady states for certain Hamiltonian models

    2010

  • Reliability of layered neural oscillator networks

    2009

  • Coupling control variates for Markov chain Monte Carlo

    2009

  • Ergodicity and energy distributions for some boundary driven integrable Hamiltonian chains

    2009

  • Reliability of coupled oscillators

    2009

  • Reliability of coupled oscillators II: Larger networks

    2007

  • Correlations in nonequilibrium steady states of random halves models

    2007

  • Reliability of coupled oscillators I: Two-oscillator systems

    2007

  • Entrainment and chaos in a pulse-driven hodgkin-huxley oscillator

    2006

  • Propagating coalitions in networks of nonlinear oscillators

    2006

  • Reliable and unreliable dynamics in driven coupled oscillators

    2006

  • The Mori-Zwanzig Equation

    2005

  • Convergence of invariant densities in the small-noise limit

    2004

  • The Selberg Zeta Function for Convex Co-Compact Schottky Groups

    2004

  • Random perturbations of SRB measures and numerical studies of chaotic dynamics

    2003

  • Numerical study of quantum resonances in chaotic scattering

    2002

  • Quantum resonances in chaotic scattering

    2002

  • Coordinate-independent computations on differential equations

    1997

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