Jonathan Jaquette

Assistant Professor, Mathematical Sciences
Education
Ph.D.; Rutgers University-New Brunswick; Mathematics; 2018
B.A.; Swarthmore College; Mathematics; 2011
Experience
New Jersey Institute of Technology
Assistant Professor, September 2023 -
Website
https://web.njit.edu/~jcj
2026 Fall Courses
MATH 790A - DOCT DISSERTATION & RES
MATH 613 - ADV APPLIED MATH-MODELNG
MATH 792B - PRE DOCTORAL RESEARCH
Past Courses
MATH 111: CALCULUS I
MATH 211: CALCULUS III A
MATH 213: CALCULUS III B
MATH 335: VECTOR ANALYSIS
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
"Identifying the universal domain size required for an accurate description of porous media"
Proceedings of Mathematical Structure in Data: Topology, Geometry and Applications Workshop, October (4th Quarter/Autumn), 2026.
"Robustness of Persistent Homology when Noising and Denoising 3D Images"
Proceedings of Mathematical Structure in Data: Topology, Geometry and Applications Workshop, October (4th Quarter/Autumn), 2026.
"Mitigating Topological Noise in 3D Images of Porous Media"
Proceedings of the Northeast Complex Fluids and Soft Matter Workshop, February, 2026.
"Point-Cloud vs Distance Filtration TDA for Permeability Estimation,"
Proceedings of Northeast Complex Fluids and Soft Matter Workshop, February, 2026.
"Identifying Particle Features That Drive Clustering in Shear-Driven Dense Suspensions"
Proceedings of the SIAM-NNP 2025 Conference, November, 2025.
"Machine Learning and Topological Approaches for Predicting Permeability of Porous Media"
Proceedings of the Divison of Fluid Dynamics of American Physical Society Annual Meeting, November, 2025.
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.
Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu. 2022. "Global dynamics in nonconservative nonlinear Schrödinger equations." Advances in Mathematics, vol. 398, pp. 70.
Magazine/Trade Publication
"A Novel Method for Computing Spectral Stability of Standing Waves"
The Dynamical Systems Web, October (4th Quarter/Autumn), 2021.