Pedro Vilanova-Guerra
Teaching Assistant Professor
Charles V. Schaefer, Jr. School of Engineering and Science
Department of Mathematical Sciences
Experience
Postdoc, Department of Mathematical Sciences, New Jersey Institute of Technology.
Postdoc, Department of Mathematics and Statistics, UMass Amherst.
Postdoc, Applied Mathematics and Computational Science division, KAUST.
Postdoc, Department of Mathematics and Statistics, UMass Amherst.
Postdoc, Applied Mathematics and Computational Science division, KAUST.
Professional Societies
- AMS Mathematical Reviews Member
Selected Publications
Large Deviations of Piecewise-Deterministic-Markov-Processes with Application to Stochastic Calcium Waves. Journal of Mathematical Biology, 2026 to appear. (with G. Barbet, J. MacLaurin, M. Silverstein).
The Hydrodynamic Limit of Neural Networks with Balanced Excitation and Inhibition. SIAM Journal on Mathematical Analysis, 2026 to appear. (with J. Maclaurin).
The Kinetic Limit of Balanced Neural Networks. arXiv preprint arXiv:2505.18481, 2025. (with J. Maclaurin).
Population Level Activity in Large Random Neural Networks. arXiv preprint arXiv:2401.15272, 2024. (with J. Maclaurin and M. Silverstein).
Synchronization in Stochastic Biochemical Oscillators Subject to Common Multiplicative Extrinsic Noise. SIAM Journal Applied Dynamical Systems, 20(3), 1253–1276, 2021. (with J. Maclaurin).
Data-driven, variational model reduction of high dimensional reaction networks. Journal of Computational Physics, Volume 401, 108997, 2020. (with M. Katsoulakis).
The Hydrodynamic Limit of Neural Networks with Balanced Excitation and Inhibition. SIAM Journal on Mathematical Analysis, 2026 to appear. (with J. Maclaurin).
The Kinetic Limit of Balanced Neural Networks. arXiv preprint arXiv:2505.18481, 2025. (with J. Maclaurin).
Population Level Activity in Large Random Neural Networks. arXiv preprint arXiv:2401.15272, 2024. (with J. Maclaurin and M. Silverstein).
Synchronization in Stochastic Biochemical Oscillators Subject to Common Multiplicative Extrinsic Noise. SIAM Journal Applied Dynamical Systems, 20(3), 1253–1276, 2021. (with J. Maclaurin).
Data-driven, variational model reduction of high dimensional reaction networks. Journal of Computational Physics, Volume 401, 108997, 2020. (with M. Katsoulakis).
Courses
MA 222 Probability and Statistics
MA 225 Infinite Series
MA 226 Multivariable Calculus II
MA 231 Nonlinear Optimization
MA 331 Intermediate Statistics
MA 346 Numerical Methods
MA 540 Probability Theory
MA 575 Optimization Models in Quantitative Finance
MA 576 Optimization for Data Science
MA Sparsity and Low-Rank Models: Optimization for High-Dimensional Data
MA 225 Infinite Series
MA 226 Multivariable Calculus II
MA 231 Nonlinear Optimization
MA 331 Intermediate Statistics
MA 346 Numerical Methods
MA 540 Probability Theory
MA 575 Optimization Models in Quantitative Finance
MA 576 Optimization for Data Science
MA Sparsity and Low-Rank Models: Optimization for High-Dimensional Data