Jorge L. Gonzalez


Graduate Teaching Assistant

Department of Mathematical Sciences


  • Ph.D Candidate Mathematics. Florida Atlantic University. Boca Raton FL. Fall 2015.
    Thesis Advisor: J.D Mireles-James and Necibe Tuncer.
    Expected Graduation: Spring 2020.
  • B.S. Mathematics. Florida International University. Miami FL. 2009.
  • B.S. Physics. Florida International University. Miami FL. 2009.

Research Interests

  • The study of complicated dynamical systems using numerical methods and the computation of rigorous error bounds.
  • Constructive computer-assisted arguments demonstrating the existence of invariant sets and connecting orbits.
  • Optimization and modeling of deterministic and stochastic systems.
  • Applications of Taken’s theorem and data analysis.
  • The dynamics of neural networks and other learning algorithms.

Research Description

Dynamical Systems, invariant manifolds, Bifurcation Theory, Perturbation Theory, ODE, PDE, rigorous error bounds, computer-assisted proofs, Parameterization Method, Computational Topology, Topological Data Analysis, numerical methods, optimization, mathematical modeling, Mathematical Biology, Computational Neuroscience, cognitive modeling, Machine Learning.

Recent Publications


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[4] Aggregated impulses: Towards explanatory models for self-similar alpha stable traffic, with Chad Bollmann and Joshua Clymer (Submitted)

[3] Towards an explanatory model for network traffic, with Chad Bollmann and Joshua Clymer (accepted to 2019 IEEE 40th Sarnoff Symposium)

[2] Finite element approximation of invariant manifolds by the parameterization method, with J.D Mireles-James and Necibe Tuncer (Submitted).

[1] High-order parameterization of stable/unstable manifolds for long periodic orbits of maps, with J.D Mireles-James (SIAM Journal on Applied Dynamical Systems, 2017, Vol. 16, No. 3: pp. 1748-1795).

Scholarly Activities

Naval Research Enterprise Internship Program (NREIP) with the Office of Naval Research (ONR) at the Naval Postgraduate School working on network measurement and cyber attack detection using alpha stable distributions, network traffic modeling. Summer of 2019.
Mentor: CDR Chad Bollmann. Here is a link to the poster.

In Preparation

[1]  A mechanism for computer-assisted proofs of diffusion, with Maciej Capinski and J.D Mireles-James


Current Course at Florida Atlantic University

Past Courses Taught at Florida Atlantic University

  • STA 2023, Introductory Statistics: Spring 2019, Fall 2018, Spring 2016
  • MAC 2313, Calculus and Analytic Geometry 3: Spring 2018
  • MAC 2311, Calculus and Analytic Geometry I Fully Online: Fall 2017
  • MAS 2103, Matrix Theory: Spring 2017
  • MAC 2311, Calculus and Analytic Geometry I: Spring 2017, Fall 2016
  • MAC 2233, Methods of Calculus: Fall 2016, Spring 2014, Fall 2013
  • MAC 1105, College Algebra: Summer 2016
  • MAC 1140, Precalculus Algebra: Fall 2015, Fall 2014
  • MAC 1114, Trigonometry: Spring 2015

Seminars at Florida Atlantic University

  • Graduate Analysis problem-solving sessions: Fall 2016
  • Graduate Algebra problem-solving sessions: Summer 2015

Past Courses at Florida International University

  • MAC 1140, Precalculus Algebra: Spring 2018
  • MTG 1204, Geometry for Education: Fall 2017

Teaching Assistant at UC San Diego

  • MATH 3C, Precalculus
  • MATH 10A, Calculus 1
  • MATH 10B, Calculus 2
  • MATH 10C, Calculus 3
  • MATH 20D, Introduction to Differential Equations
  • MATH 20E, Vector Calculus
  • MATH 102, Applied Linear Algebra


Jorge L. Gonzalez

Graduate Teaching Assistant
Department of Mathematical Sciences
Florida Atlantic University
Science Building, Room 262

777 Glades Rd.,
Boca Raton, FL 33431, USA

Office: SE

Email: jorgegonzale2013[at]

Office Hours: (Fall 2019)
Mondays, 12-3pm.