Jonathan Jaquette
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
2024 Spring Courses
MATH 213 - CALCULUS III B
Past Courses
MATH 213: CALCULUS III B
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
Research Interests
Nonlinear Dynamics, Computer Assisted Proofs, Partial Differential Equations, Mathematical Neuroscience, Computational Topology
Journal Article
Jaquette, Jonathan (2024). Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations. Journal of Dynamics and Differential Equations, 36(1), 1-25.
van den Berg, Jan Bouwe, & Jaquette, Jonathan, & Mireles James, Jason D (2023). Validated numerical approximation of stable manifolds for parabolic partial differential equations. Journal of Dynamics and Differential Equations, 35(4), 3589-3649.
Jaquette, Jonathan, & Kedia, Sonal , & Sander, Evelyn , & Touboul, Jonathan D (2023). Reliability and robustness of oscillations in some slow-fast chaotic systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(10), 18.
Takayasu, Akitoshi, & Lessard, Jean-Philippe, & Jaquette, Jonathan, & Okamoto, Hisashi (2022). Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik, 151(3), 693-750.
Jaquette, Jonathan, & Lessard, Jean-Philippe, & Takayasu, Akitoshi (2022). Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Communications in Nonlinear Science and Numerical Simulation, 107, 14.
van den Berg, Jan Bouwe, & Jaquette, Jonathan, & Mireles James, Jason D (2023). Validated numerical approximation of stable manifolds for parabolic partial differential equations. Journal of Dynamics and Differential Equations, 35(4), 3589-3649.
Jaquette, Jonathan, & Kedia, Sonal , & Sander, Evelyn , & Touboul, Jonathan D (2023). Reliability and robustness of oscillations in some slow-fast chaotic systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(10), 18.
Takayasu, Akitoshi, & Lessard, Jean-Philippe, & Jaquette, Jonathan, & Okamoto, Hisashi (2022). Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik, 151(3), 693-750.
Jaquette, Jonathan, & Lessard, Jean-Philippe, & Takayasu, Akitoshi (2022). Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Communications in Nonlinear Science and Numerical Simulation, 107, 14.
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Jaquette, Jonathan, & Lessard, Jean-Philippe , & Takayasu, Akitoshi (2022). Global dynamics in nonconservative nonlinear Schrödinger equations. Advances in Mathematics, 398, 70.
Beck, Margaret, & Jaquette, Jonathan (2022). Validated spectral stability via conjugate points. SIAM Journal on Applied Dynamical Systems, 21(1), 366-404.
Jaquette, Jonathan, & Schweinhart, Benjamin (2020). Fractal dimension estimation with persistent homology: A comparative study. Communications in Nonlinear Science and Numerical Simulation, 84, 19.
Jaquette, Jonathan (2019). A proof of Jones' conjecture. Journal of Differential Equations, 266(6), 3818-3859.
van den Berg, Jan Bouwe, & Jaquette, Jonathan (2018). A proof of Wright's conjecture. Journal of Differential Equations, 264(12), 7412-7462.
Jaquette, Jonathan, & Lessard, Jean-Philippe, & Mischaikow, Konstantin (2017). Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation. Journal of Differential Equations, 263(11), 7263-7286.
Jaquette, Jonathan, & Kramar, Miroslav (2017). On approximations of persistence diagrams. Mathematics of Computation, 86(306), 1887-1912.
Beck, Margaret, & Jaquette, Jonathan (2022). Validated spectral stability via conjugate points. SIAM Journal on Applied Dynamical Systems, 21(1), 366-404.
Jaquette, Jonathan, & Schweinhart, Benjamin (2020). Fractal dimension estimation with persistent homology: A comparative study. Communications in Nonlinear Science and Numerical Simulation, 84, 19.
Jaquette, Jonathan (2019). A proof of Jones' conjecture. Journal of Differential Equations, 266(6), 3818-3859.
van den Berg, Jan Bouwe, & Jaquette, Jonathan (2018). A proof of Wright's conjecture. Journal of Differential Equations, 264(12), 7412-7462.
Jaquette, Jonathan, & Lessard, Jean-Philippe, & Mischaikow, Konstantin (2017). Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation. Journal of Differential Equations, 263(11), 7263-7286.
Jaquette, Jonathan, & Kramar, Miroslav (2017). On approximations of persistence diagrams. Mathematics of Computation, 86(306), 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