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
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
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
"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.
"Mitigating Topological Noise in 3D Images of Porous Media"
Proceedings of the Divison of Fluid Dynamics of American Physical Society, November, 2025.
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.
"Mitigating Topological Noise in 3D Images of Porous Media"
Proceedings of the Divison of Fluid Dynamics of American Physical Society, November, 2025.
SHOW MORE
"Mitigating Topological Noise in 3D Images of Porous Media"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Point-Cloud vs Distance Filtration TDA for Permeability Estimation"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Training AI Models to Predict Permeability on Porous Media"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Using Neural Networks and Persistence Homology to Predict Membrane Filter Throughput"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"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.
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Point-Cloud vs Distance Filtration TDA for Permeability Estimation"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Training AI Models to Predict Permeability on Porous Media"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"Using Neural Networks and Persistence Homology to Predict Membrane Filter Throughput"
Proceedings of the SIAM-NNP 2026 Conference, November, 2025.
"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.
COLLAPSE
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.
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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.