Jonathan Jaquette
Assistant Professor, Mathematical Sciences
624 Cullimore Hall (CULM)
Education
Ph.D.
; Rutgers University-New Brunswick
; Mathematics
; 2018
B.A. ; Swarthmore College ; Mathematics ; 2011
B.A. ; Swarthmore College ; Mathematics ; 2011
Experience
New Jersey Institute of Technology
Assistant Professor,
September 2023 -
Website
2025 Fall Courses
MATH 211 - CALCULUS III A
MATH 613 - ADV APPLIED MATH-MODELNG
MATH 792B - PRE DOCTORAL RESEARCH
MATH 613 - ADV APPLIED MATH-MODELNG
MATH 792B - PRE DOCTORAL RESEARCH
Past Courses
MATH 111: CALCULUS I
MATH 213: CALCULUS III B
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
MATH 676: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS
MATH 213: CALCULUS III B
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
MATH 676: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS
Research Interests
Nonlinear Dynamics, Computer Assisted Proofs, Partial Differential Equations, Mathematical Neuroscience, Computational Topology
Conference Abstract
"Understanding fluid flux: Topological data analysis of porous media"
Frontiers in Applied and Computational Mathematics, June, 2025.
"Understanding Fluid Flux: Topological Data Analysis of Porous Media"
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn), 2024.
Frontiers in Applied and Computational Mathematics, June, 2025.
"Understanding Fluid Flux: Topological Data Analysis of Porous Media"
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn), 2024.
Journal Article
Jonathan Jaquette.
2024. "Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations."
Journal of Dynamics and Differential Equations , vol. 36 , no. 1 , pp. 1-25.
Jan Bouwe van den Berg, Jonathan Jaquette, Jason D Mireles James. 2023. "Validated numerical approximation of stable manifolds for parabolic partial differential equations." Journal of Dynamics and Differential Equations , vol. 35 , no. 4 , pp. 3589-3649.
Jonathan Jaquette, Sonal Kedia, Evelyn Sander, Jonathan D Touboul. 2023. "Reliability and robustness of oscillations in some slow-fast chaotic systems." Chaos: An Interdisciplinary Journal of Nonlinear Science , vol. 33 , no. 10 , pp. 18.
Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette, Hisashi Okamoto. 2022. "Rigorous numerics for nonlinear heat equations in the complex plane of time." Numerische Mathematik , vol. 151 , no. 3 , pp. 693-750.
Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu. 2022. "Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity." Communications in Nonlinear Science and Numerical Simulation , vol. 107 , pp. 14.
Jan Bouwe van den Berg, Jonathan Jaquette, Jason D Mireles James. 2023. "Validated numerical approximation of stable manifolds for parabolic partial differential equations." Journal of Dynamics and Differential Equations , vol. 35 , no. 4 , pp. 3589-3649.
Jonathan Jaquette, Sonal Kedia, Evelyn Sander, Jonathan D Touboul. 2023. "Reliability and robustness of oscillations in some slow-fast chaotic systems." Chaos: An Interdisciplinary Journal of Nonlinear Science , vol. 33 , no. 10 , pp. 18.
Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette, Hisashi Okamoto. 2022. "Rigorous numerics for nonlinear heat equations in the complex plane of time." Numerische Mathematik , vol. 151 , no. 3 , pp. 693-750.
Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu. 2022. "Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity." Communications in Nonlinear Science and Numerical Simulation , vol. 107 , pp. 14.
SHOW MORE
Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu.
2022. "Global dynamics in nonconservative nonlinear Schrödinger equations."
Advances in Mathematics , vol. 398 , pp. 70.
Margaret Beck, Jonathan Jaquette. 2022. "Validated spectral stability via conjugate points." SIAM Journal on Applied Dynamical Systems , vol. 21 , no. 1 , pp. 366-404.
Jonathan Jaquette, Benjamin Schweinhart. 2020. "Fractal dimension estimation with persistent homology: A comparative study." Communications in Nonlinear Science and Numerical Simulation , vol. 84 , pp. 19.
Jonathan Jaquette. 2019. "A proof of Jones' conjecture." Journal of Differential Equations , vol. 266 , no. 6 , pp. 3818-3859.
Jan Bouwe van den Berg, Jonathan Jaquette. 2018. "A proof of Wright's conjecture." Journal of Differential Equations , vol. 264 , no. 12 , pp. 7412-7462.
Jonathan Jaquette, Jean-Philippe Lessard, Konstantin Mischaikow. 2017. "Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation." Journal of Differential Equations , vol. 263 , no. 11 , pp. 7263-7286.
Jonathan Jaquette, Miroslav Kramar. 2017. "On approximations of persistence diagrams." Mathematics of Computation , vol. 86 , no. 306 , pp. 1887-1912.
Margaret Beck, Jonathan Jaquette. 2022. "Validated spectral stability via conjugate points." SIAM Journal on Applied Dynamical Systems , vol. 21 , no. 1 , pp. 366-404.
Jonathan Jaquette, Benjamin Schweinhart. 2020. "Fractal dimension estimation with persistent homology: A comparative study." Communications in Nonlinear Science and Numerical Simulation , vol. 84 , pp. 19.
Jonathan Jaquette. 2019. "A proof of Jones' conjecture." Journal of Differential Equations , vol. 266 , no. 6 , pp. 3818-3859.
Jan Bouwe van den Berg, Jonathan Jaquette. 2018. "A proof of Wright's conjecture." Journal of Differential Equations , vol. 264 , no. 12 , pp. 7412-7462.
Jonathan Jaquette, Jean-Philippe Lessard, Konstantin Mischaikow. 2017. "Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation." Journal of Differential Equations , vol. 263 , no. 11 , pp. 7263-7286.
Jonathan Jaquette, Miroslav Kramar. 2017. "On approximations of persistence diagrams." Mathematics of Computation , vol. 86 , no. 306 , pp. 1887-1912.
COLLAPSE
Magazine/Trade Publication
"A Novel Method for Computing Spectral Stability of Standing Waves"
The Dynamical Systems Web, October (4th Quarter/Autumn), 2021.
The Dynamical Systems Web, October (4th Quarter/Autumn), 2021.