Applied Mathematics Doctoral Seminar

Welcome to the Applied Mathematics Doctoral Seminar!

This is a weekly gathering where ideas converge, curiosity is sparked, and research leaps forward. Each semester, we bring together Georgetown’s students, faculty, and guest scholars to explore emerging topics that bridge theory and application: from partial differential equations and machine learning to optimal control, computational modeling, and beyond.

Whether you’re probing deep mathematical questions or translating theory into practice, this seminar offers an opportunity to sharpen your thinking, exchange insights, and find new directions for your work. Check the schedule below for upcoming talks; each is a chance to dive into cutting-edge research, connect with speakers, and be part of a community that thrives at the frontier of applied mathematics.


The Applied Mathematics Doctoral Seminar occurs every week during the semester. Dates, times, and locations are listed below.

Current Schedule

Thursdays, @ 11:00am, Location: CB 303

Previous Seminars

Wednesday, January 15th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Ideas of Machine Learning for PDE: Theory I
Speaker: Prof. Bogdan Raita

Wednesday, January 22nd, 2025 @ 2:00pm, Location: ICC 205A

Topic: Ideas of Machine Learning for PDE: Theory II
Speaker: Prof. Bogdan Raita

Wednesday, January 29th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Ideas of Machine Learning for PDE: Implementation I
Speaker: Xin Li

Wednesday, February 5th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Ideas of Machine Learning for PDE: Implementation II
Speaker: Xin Li

Wednesday, February 12th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Discussion of Coding Projects I

Wednesday, February 19th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Discussion of Coding Projects II

Wednesday, February 26th, 2025 @ 2:00pm, Location: ICC 205A
Topic: How To Insulate Optimally
Speaker: Dr. Keegan Kirk, George Mason University

Wednesday, March 12th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Two-Layer Shallow-Water Flows Along Channels: Modelling and Computational Approach
Speaker: Dr. Sarswati Shah, George Mason University

Wednesday, March 19th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Designing Electromagnetic Cloaking via Optimal Control
Speaker: Yaw Owusu-Agyemang, George Mason University

Wednesday, March 26th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Gradient Constrained Variational Problems: A Priori and A Posteriori Error Identities
Speaker: Dr. Rohit Khandelwal, George Mason University

Wednesday, April 2nd, 2025 @ 2:00pm, Location: ICC 205A
Topic: Implementation of EPGP for the 3D Laplace Equation
Speaker: Nicholas Barone

Wednesday, April 9th, 2025 @ 2:00pm, Location: ICC 205A
Topic: TBA
Speaker: Yu Chen

Wednesday, April 16th, 2025 @ 2:00pm, Location: ICC 205A
Topic: Implementation of Ehrenpreis-Palamodov Gaussian Process for a System of Coupled Equations
Speaker: Zeiad Hassoun

Wednesday, April 23rd, 2025 @ 2:00pm, Location: ICC 205A
Topic: Beta Function Formalism for Grushin Operators
Speaker: Jonathan Reiss

Wednesday, September 4th, 2024 @ 10:00 am, Location: STM 326
Topic: First Meeting
Speaker: Prof. Matthias Eller

Wednesday, September 11th, 2024 @ 10:00 am, Location: STM 124

Topic: TBA
Speaker: Prof. Benjamin Harrop-Griffiths

Wednesday, September 18th, 2024 @ 10:00 am, Location: STM 124
Topic: Research Topics in Inverse Problems
Speaker: Dr. Nicolas Valdivia, Naval Research Laboratory

Wednesday, September 25th, 2024 @ 10:00 am, Location: STM 124
Topic: Research Topics in Inverse Problems
Speaker: Dr. Nicolas Valdivia, Naval Research Laboratory

Wednesday, October 2nd, 2024 @ 10:00 am, Location: STM 124
Topic: Ehrenpreis-Palamodov Gaussian Process: Introduction and Applications
Speaker: Xin Li

Wednesday, October 9th, 2024 @ 10:00 am, Location: STM 124
Topic: Gaussian Prior for IBVP problems of constant coefficient linear PDEs
Speaker: Jianlei Huang

Wednesday, October 16th, 2024 @ 10:00 am, Location: STM 124
Topic: Inverse Problems with Ehrenpreis-Palamodov Gaussian Process
Speaker: Xin Li

Wednesday, October 23rd, 2024 @ 10:00 am, Location: STM 124
Topic: Bringing AI to Phenomena Modeled by PDE
Speaker: Prof. Bogdan Raita

Wednesday, October 30th, 2024 @ 10:00 am, Location: STM 124
Topic: Green’s Function for Laplace’s Equation for a Ball
Speaker: Nicholas Barone

Wednesday, November 6th, 2024 @ 10:00 am, Location: STM 124
Topic: Energy Methods for Laplace’s Equation
Speaker: Yu Chen

Wednesday, November 13th, 2024 @ 10:00 am, Location: STM 124
Topic: The Initial-Value Problem for the Wave Equation in Odd Dimensions
Speaker: Zeiad Hassoun

Wednesday, November 20th, 2024 @ 10:00 am, Location: STM 124
Topic: Shear Banding and Related Instabilities in Polymer Melts and Other Viscoelastic Fluids
Speaker: Prof. Peter Omsted, Georgetown University Department of Physics

Wednesday, December 4th, 2024 @ 10:00 am, Location: STM 124
Topic: TBA
Speaker: Xilin Chen

Tuesday, January 16th, 2024 @ 11:00 am, Location: STM 326
Organizational Meeting

Tuesday, January 23rd, 2024 @ 11:00 am, Location: STM 326

Topic: Linear PDE: Machine Learning & Boundary Value Problems
Speaker: Prof. Bogdan Raita

Tuesday, January 30th, 2024 @ 11:00 am, Location: STM 326
Topic: Conservation Laws, Hysteric Flows and Traffic Jams I
Speaker: Prof. Haitao Fan

Tuesday, February 6th, 2024 @ 11:00 am, Location: STM 326
Topic: Conservation Laws, Hysteric Flows and Traffic Jams II
Speaker: Prof. Haitao Fan

Tuesday, February 13th, 2024 @ 11:00 am, Location: STM 326
Topic: Caterpillars On Trains: Mathematical Modeling In Evolutionary Ecology
Speaker: Prof. Judith Miller

Tuesday, February 27th, 2024 @ 11:00 am, Location: STM 326
Topic: Variational Spaces, Bochner Integrals, and Neural Networks I
Speaker: Prof. Paul Kainen

Tuesday, March 12th, 2024 @ 11:00 am, Location: STM 326
Topic: Variational Spaces, Bochner Integrals, and Neural Networks II
Speaker: Prof. Paul Kainen

Tuesday, March 19th, 2024 @ 11:00 am, Location: STM 326
Topic:  Image Processing and Optimization I
Speaker: Xin Li

Tuesday, March 26th, 2024 @ 11:00 am, Location: STM 326
Topic: Image Processing and Optimization II
Speaker: Xin Li

Tuesday, April 2nd, 2024 @ 11:00 am, Location: STM 326
Topic: From a free boundary problem model of cancer
Speaker: Prof. Steve Xu, University of Louisville

Tuesday, April 9th, 2024 @ 11:00 am, Location: STM 326
Topic: Classical, Mild, and Weak Solutions of the Cauchy Problem I
Speaker: Farshid Abadizaman

Tuesday, April 16th, 2024 @ 11:00 am, Location: STM 326
Topic: Classical, Mild, and Weak Solutions of the Cauchy Problem II
Speaker: Farshid Abadizaman

Tuesday, April 23rd, 2024 @ 11:00 am, Location: STM 326
Topic: Harmonic Analysis Meets Linear Algebra: Linear L2 Estimates For Elliptic Systems I
Speaker: Urshila Choubal

Tuesday, April 30th, 2024 @ 11:00 am, Location: STM 326
Topic: Harmonic Analysis Meets Linear Algebra: Linear L2 Estimates For Elliptic Systems II
Speaker: Urshila Choubal

Friday, September 15th, 2023 @ 11:00 am, Location: STM 326
Topic: “Main Concepts of Operator Semigroups”
Speaker: Prof. Matthias Eller

Friday, September 22nd, 2023 @ 11:00 am, Location: STM 107

Topic: “Strongly Continuous Semigroups”
Speaker: Jonathan Riess

Lecture Notes

Friday, September 29th, 2023 @ 11:00 am, Location: STM 326
Topic: “Hille-Yosida Theorem”
Speaker: Xin Li

Friday, October 6th, 2023 @ 11:00 am, Location: STM 107
Topic: “Lumer-Phillips Theorem”
Speaker: Farshid Abadizaman

Friday, October 13th, 2023 @ 3:00 pm, Location: STM 111
Topic: “Uniform Stability”
Speaker: Joe Kleban

Friday, October 20th, 2023 @ 3:00 pm, Location: STM 111
Topic: “Strong Stability”
Speaker: Urshila Choubal

Friday, October 27th, 2023 @ 3:00 pm, Location: STM 111
Topic: From vortex filaments to solitons: the 1d cubic nonlinear Schrödinger equation.
Speaker: Prof. Benjamin Harrop-Griffiths

Friday, November 3rd, 2023 @ 3:00 pm, Location: STM 111
Topic: Signal Processing in High Throughput Genomics
Speaker: Prof. Sivan Leviyang

Friday, November 10th, 2023 @ 3:00 pm, Location: STM 111
Topic: The d-bar Neumann Problem 1
Speaker: Prof. Der-Chen Chang

Friday, November 17th, 2023 @ 3:00 pm, Location: STM 111
Topic: The d-bar Neumann Problem 2
Speaker: Prof. Der-Chen Chang

Friday, December 1st, 2023 @ 3:00 pm, Location: STM 111
Topic: New Directions In Weak Convergence and Linear PDE
Speaker: Prof. Bogdan Raita