Assistant Professor
Centre for Mathematical Health and Disease Modeling IMFUFA Department of Natural Science and Environment (INM) Roskilde Univeristy
email: jordan@ruc.dk
Updated 8 May 2023
Collective phenomena and self-organization
Mathematical modeling of biological systems
Data-driven modeling
Phase transitions and critical phenomena on networks
PhD. in Applied Mathematics
June 2019
UC Davis, Davis, CA
Advisor: Raissa D’Souza
M.S. in Applied Mathematics
March 2016
UC Davis, Davis, CA
Advisor: Raissa D’Souza
B.S. in Physics and Mathematics
May 2013
Cum Laude
Rensselaer Polytechnic Institute, Troy, NY
Advisor: Joel Giedt
Assistant Professor
Fall 2022 - present
Roskilde University, Department of Science and Environment
PI: Prof. Thomas Stiehl, RWTH Aachen Univeristy
Applied mathematical models of blood cancer to longitudinal data from a general population survey to better understand the early stages leading to myeloproliferative neoplasm (MPN) disease.
Postdoc
Fall 2021 - Fall 2022
Niels Bohr Institute, Copenhagen University, Copenhagen, Denmark
Mentors: Profs. Kim Sneppen and Ala Trusina
Computational modeling to understand the formation of branched organs.
Postdoc
Fall 2019 - Fall 2021
University of Washington, Department of Applied Mathematics
Mentors: Profs. J. Nathan Kutz and Steven L. Brunton
Applied data-driven techniques for learning stochastic dynamics to understand finite-size effects in coupled oscillator systems. Established properties of memory kernels for partially-observed linear dynamical systems.
Graduate Student Researcher
Fall 2015 - Spring 2019
UC Davis, Complexity Sciences Center and Department of Mathematics
Advisor: Raissa D’Souza
Worked in the Complexity Sciences Center with major advisor Raissa D’Souza on analytic and numerical techniques to discover general principles underlying the relationship between network structures and the dynamics on those networks.
Research Intern
Summer 2018
Center for Nonlinear Studies at Los Alamos National Lab
Mentor: Anatoly Zlotnik
Developed numerical techniques for discovering lower-dimensional equations of motion that accurately reproduce the dynamics of phase oscillators coupled by a modular network, and supported these results with rigorous approximation bounds.
Research Intern
Summer 2017
Center for Nonlinear Studies at Los Alamos National Lab
Mentor: Anatoly Zlotnik
Studied the potential optimality of hierarchical communication and control structures for efficient control of network dynamical systems, with the goal of applying insights to the electric power grid and systems of thermostatically-controlled loads (such as A/C and heating).
Research Intern
Summer 2016
Center for Nonlinear Studies at Los Alamos National Lab
Mentor: Aric Hagberg
Analyzed a mathematical model of interacting oscillatory units subject to common forcing. Found analytical and numerical results elucidating the effect on synchronization of an externally-imposed common frequency.
Associate Instructor
Summers 2014, 2015
UC Davis, Department of Mathematics
Davis, CA
Teaching Mentor: E. G. Puckett
MAT 22B: Differential Equations
Prepared and delivered lectures, quizzes and exams. Course materials can be found here
Teaching Assistant
Fall 2013 - Present
UC Davis, Department of Mathematics
Davis, CA
Led discussion sections, held office hours, and graded course material for:
MAT-17A, Calculus for Biological Sciences
MAT-21B, Calculus
MAT-21D, Vector Analysis
MAT-67, Abstract Linear Algebra
MAT-119A, Ordinary Differential Equations
Jordan Snyder, Jared Callaham, Steven Brunton, J. Kutz, "Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression." Physica D: Nonlinear Phenomena, 2021. link
Weiran Cai, Jordan Snyder, Alan Hastings, Raissa D'Souza, "Mutualistic networks emerging from adaptive niche-based interactions." Nature Communications, 2020. link
Jordan Snyder, Anatoly Zlotnik, Andrey Lokhov, "Data-driven selection of coarse-grained models of coupled oscillators." Physical Review Research, 2020. link
George Cantwell, Yanchen Liu, Benjamin Maier, Alice Schwarze, Carlos Serv{\'{a}}n, Jordan Snyder, Guillaume St-Onge, "Thresholding normally distributed data creates complex networks." Physical Review E, 2020. link
Jordan Snyder, Weiran Cai, Raissa D'Souza, "Degree-targeted cascades in modular, degree-heterogeneous networks." arXiv, 2020. link
George Cantwell, Yanchen Liu, Benjamin Maier, Alice Schwarze, Carlos Serv{\'{a}}n, Jordan Snyder, Guillaume St-Onge, "Thresholding normally distributed data creates complex networks." Physical Review E, 2020. link
Jordan Snyder, "Collective Behavior in Dynamics on Networks." University of California, Davis, 2019. link
Andrew Sornborger, Louis Tao, Jordan Snyder, Anatoly Zlotnik, "A Pulse-gated, Neural Implementation of the Backpropagation Algorithm." Proceedings of the 7th Annual Neuro-inspired Computational Elements Workshop on - NICE '19, 2019. link
Weiran Cai, Jordan Snyder, Alan Hastings, Raissa D'Souza, "A Dynamic Niche Model for the Emergence and Evolution of Mutualistic Network Structures." arXiv, 2018. link
Jordan Snyder, Anatoly Zlotnik, Aric Hagberg, "Stability of entrainment of a continuum of coupled oscillators." Chaos: An Interdisciplinary Journal of Nonlinear Science, 2017. link
Talk at IMFUFA Seminar, RUC
Talk at SIAM Conference on Applications of Dynamical Systems (DS21), Virtual
Talk at CSU Northridge Applied Math Seminar, Northridge, CA
Talk at Center for Nonlinear Studies, Los Alamos National Lab, Los Alamos, New Mexico
Talk at UC Davis, Student-run math/applied math seminar, Davis, California
Talk at UC Davis, Student-run math/applied math seminar, Davis, California
Mathematical modeling of clonal expansion before the onset of disease via a general population study, 2023 SIAM Conference on Applications of Dynamical Systems, Portland, OR, May 2023
Data-Driven Model Selection for Coarse-Graining Coupled Oscillators, Dynamics Days 2019, Evanston, IL, January 2019
Entrainment of Coupled Oscillators, CRITICS Workshop, Kulhuse, Denmark, September 2016
Stability of Entrainment in Coupled Oscillators
Dynamics Days 2017, Silver Spring, MD, January 2017
2017 SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May 2017
International Physics of Living Systems (iPoLS) 2017 Annual Meeting, Paris, France, June 2017
Critical Slowing Down Inidicators in a Mutualistic Network, Third Central Valley Regional SIAM Student Chapter Conference, Merced, CA, April 2018
Summer School: Data Science for Dynamical Systems
July 2019
Lorenz Center, Leiden, Netherlands
Santa Fe Institute Applied Complexity Studio
July 2018
Complexity, Quantitative Social Science & National Security
Santa Fe Institute, Santa Fe, NM
Participated in brainstorming sessions with members of the complexity science and national security communities, generating research ideas of potential interest to national security stakeholders.
Santa Fe Institute Complex Systems Summer School
Summer 2018
Santa Fe Institute and Institute for American Indian Arts, Santa Fe, NM
Attended lectures and research talks on nonlinear dynamics, network theory, information theory, sociology, ecology, animal behavior, computation theory, power engineering, evolution, and many other topics. Participated in intensive group project work on 1) random graph theory and 2) criticality in neuronal dynamics.
Santa Fe Institute Working Group
September 2017
Information Networks and the Evolution of Social Organizations
Santa Fe Institute, Santa Fe, NM
Participated in brainstorming sessions among scholars of archeology, anthropology, economics, sociology, physics, and network science to develop a research agenda focused on illuminating possible mechanisms underlying the emergence of hierarchical social structures in early human societies.
Physics of Living Systems International Meeting
June 2017
Institute Pierre-Gilles de Gennes for microfluidics, Paris, France
Attended lectures and participated in conversations on physics-informed modeling approaches to understand mechanisms in biological systems, at scales from single cells to populations of organisms.
1st CRITICS Workshop and Summer School
August-September 2016
Critical Transitions in Complex Systems: Mathematical theory and applications
Kulhuse, Denmark
Attended lectures and research presentations on cutting-edge techniques in mathematical modeling of systems that exhibit critical transitions, with particular focus on the global climate. Participated in group project work on modeling (both analytically and numerically) a system of interacting particles subject to noise.
Coarse-Graining for Coupled Oscillators, research project at Los Alamos National Lab, Summer 2018
Extracted effective equations of motion for coarse-grained degrees of freedom describing synchronization of phase oscillators on a modular network. Used numerical and analytical results to deduce transitions between high- and low-dimensional dynamical behavior. Work done in collaboration with Anatoly Zlotnik and Andrey Lokhov.
Published in Phys. Rev. Research, 10.1103/PhysRevResearch.2.043402
A Dynamic Niche Model for the Spontaneous Emergence of Mutualistic Network Structures, research project at UC Davis, Fall 2017 - Fall 2019
Developed a theoretical model of the evolution of a mutualistic ecosystem, incorporating a feedback between the species abundances and the structure of the species-species interaction network. Reproduced network properties that are seen in the real world, and that were previously not explained by any single model. Work done in collaboration with Weiran Cai, Alan Hastings, and Raissa D’Souza.
Published in Nature Communications, 10.1038/s41467-020-19154-5
Early Warning Signals in Mutualistic Population Dynamics, research project at UC Davis, Fall 2017 - 2022
Investigated statistical signatures of correlated extinction events in a stylized model of population dynamics on empirical mutualistic networks. Connected modularity and nestedness of interaction networks with the course of ecosystem-wide extinction. Work done in collaboration with Weiran Cai and Raissa D’Souza
Published in Phys. Rev. Research, 10.1103/physrevresearch.4.013040
Entrainment of Coupled Oscillators, research project at Los Alamos National Lab, Summer 2016-2017
Developed a model of coupled phase oscillators subject to common forcing, and derived analytic results capturing the trade-offs between coupling and forcing. Corroborated analysis with numerical simulation, including numerical continuation using AUTO software. Work done in collaboration with staff scientists Anatoly Zlotnik and Aric Hagberg.
Published in Chaos, aip.scitation.org/doi/full/10.1063/1.4994567
Mean-field limits for interacting diffusions, group project at CRITICS Summer School, Kulhuse, Denmark, September 2016
Computing Geometric Integrated Information, class project for Numerical Optimization (MAT-258A), Fall 2015
Pathwise Information Theory in Two Dimensions, class project for Natural Computation (PHY-256B), Spring 2014
Reading in Classical and Quantum Statistical Mechanics with Prof. Bruno Nachtergaele, Summer 2014 - Winter 2015
Stochastic Population Dynamics, PBG 298, Spring 2016, Spring 2017
Rigorous results for discrete-time population models under demographic and environmental stochasticity. Random Perron-Frobenius theorem.
Probability generating functions, asymptotics for Markov chains with and without absorbing states
Network Theory, ECS 253, Spring 2016
Stochastic Dynamics, MAT 236A, Fall 2014
Probability Theory, MAT 235A-B, Fall 2014 - Winter 2015
Natural Computation and Self-Organization, PHY 256A-B, Winter - Spring 2014
Applied Math, MAT 207A,B,C, academic year 2013-2014
Mx16 Conference on Multilayer Networks Co-Organizer, Spring 2016
International student-run conference featuring Alex Arenas, Lada Adamic, Matt Brashears, Francesco Sorrentino, and Mikko Kivelä
Galois Group (Math grad student association)
Vice President, academic year 2015-2016
President, academic years 2016-2018
Davis Math Conference Co-Organizer, Fall 2015
UC Davis Graduate Studies Travel Award, Spring 2019
UC Davis Math Department Travel Award, January 2017, January 2019
Graduate Assistance in Areas of National Need (GAANN) Fellowship, academic year 2014-2015
Rensselaer Dean’s List, Fall 2009 - Spring 2013
Programming
Python (packages: NumPy, SciPy, NetworkX, CMPy)
AUTO-07p software for continuation and bifurcation problems in ordinary differential equations
MATLAB
Julia