**** I have moved to the Mathematical Physics research group at TU Delft in August of 2020 ****
My email there is a.b.t.barbaro { at } tudelft.nl
Contact InformationPlease find me at TU Delft as of August of 2020.
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Research Interests
My research focuses on mathematical models, generally of social organisms, from the perspective of kinetic theory. At the discrete level, I design and implement interacting particle and agent-based models. I use these models in the context of fish migration, human gang rivalries, and gang territorial development, and I am now also working on models for pedestrian dynamics, particularly in stressful situations. I am interested in the kinetic and hydrodynamic limits of this type of model, especially if the model undergoes a phase transition as parameters are varied. I have studied these phase transitions at the microscopic, mesoscopic, and macroscopic scales.
Students
Current Students:
- Lindsay Lee (advisor), PhD student in Applied Mathematics, expected August 2020
Former Students:
- Robert Volkin (advisor), PhD in Applied Mathematics, December 2019
- Carrie Winterer (co-advisor), MS in Statistics, August 2018
- Abdulaziz Alsenafi (advisor), PhD in Applied Mathematics, August 2016
- Douglas Brubaker (co-mentor and committee member), PhD in Proteomics and Bioinformatics, May 2016
Upcoming Activities
IPAM workshop: Social Dynamics beyond Vehicle Autonomy, November 30-December 4, 2020 (Invited Participant)
Recent Activities
SIAM Conference on the Analysis of Partial Differential Equations: December 11-14, 2019 (Minisymposium Organizer and Speaker)
CIRM workshop on Crowds: Models and Control, June 3-7, 2019 (Invited Participant)
SIAM Dynamical Systems Conference, May 19-23, 2019 (Minisymposium Organizer and Speaker)
Joint Mathematics Meetings, January 16-19 (Speaker in Special Session on Agent-Based Modeling in Biological and Social Systems)
Canadian Mathematical Society Winter Meeting, December 7-10, 2018 (Special Sessions Speaker)
SIAM Conference on the Life Sciences, August 6-9, 2018 (Minisymposium Organizer and Speaker)
American Institute of Mathematics Workshop: Nonlocal differential equations in collective behavior, June 18-22, 2018 (Invited Participant)
AMS Fall Western Sectional Meeting, November 4-5, 2017 (Special Session Speaker)
ICERM Topical Workshop: Pedestrian Dynamics: Modeling, Validation, and Calibration, August 21-25, 2017 (Workshop Co-Organizer)
SIAM Annual Meeting, August 2017 (Minisymposium Organizer)
PDE-MANS 2017: Workshop on PDEs: Modeling, Analysis, and Numerical Simulation, June 19-23, 2017 (Minisymposium Speaker)
KI-Net Conference: Kinetic Descriptions of Chemical and Biological Systems, March 23-25, 2017 (Invited Participant)
SIAM Computational Science and Engineering, February 27-March 3, 2017 (Minisymposium Speaker)
ICERM Topical Workshop: Predictive Policing, August 8-12, 2016 (Participant)
SIAM Life Sciences Meeting, July 11-14, 2016 (Minisymposium Organizer and Speaker)