Biography and education
I obtained a PhD in Applied Mathematics from the University of Arizona and a Bachelor of Science in Physics from Brigham Young University. Before coming to Texas State University I was a postdoc in the Mathematics Department and the Computer Science Department at the University of Massachusetts Amherst.
Teaching Interests
Research Interests
Featured grants
- Birrell, Jeremiah. Innovation and Discovery Workshop, Texas State University, $2500. (Funded: February 2025 - May 2025). Grant.

Featured scholarly/creative works
- Birrell, J., Katsoulakis, M. A., Rey-Bellet, L., Zhang, B., & Zhu, W. (2025). Nonlinear denoising score matching for enhanced learning of structured distributions. Computer Methods in Applied Mechanics and Engineering. Retrieved from https://www.sciencedirect.com/science/article/pii/S0045782525004980
- Birrell, J., Ebrahimi, R., Behnia, R., & Pacheco, J. (2024). Differentially Private Stochastic Gradient Descent with Fixed-Size Minibatches: Tighter RDP Guarantees with or without Replacement. In Advances in Neural Information Processing Systems 37 (NeurIPS 2024). Retrieved from https://neurips.cc/virtual/2024/poster/95041
- Birrell, J., Katsoulakis, M. A., Rey-Bellet, L., & Zhu, W. (2022). Structure-preserving GANs. In Proceedings of Machine Learning Research (ICML 2022) (Vol. 162, pp. 1982–2020). Retrieved from https://proceedings.mlr.press/v162/birrell22a.html
- Birrell, J., Dupuis, P., Katsoulakis, M. A., Pantazis, Y., & Rey-Bellet, L. (2022). (f,Γ)-Divergences: Interpolating between f-Divergences and Integral Probability Metrics. Journal of Machine Learning Research, 23. Retrieved from https://www.jmlr.org/papers/v23/21-0100.html
- Birrell, J., Dupuis, P., Katsoulakis, M. A., Rey-Bellet, L., & Wang, J. (2021). Variational Representations and Neural Network Estimation of Rényi Divergences. SIAM Journal on Mathematics of Data Science, 3(4), 1093–1116. https://doi.org/10.1137/20m1368926
Featured awards
- Award / Honor Recipient: Best Paper Award, HMISA 2025 Workshop, 46th IEEE Symposium on Security and Privacy, Institute of Electrical and Electronics Engineers (IEEE). May 2025

Featured service activities
- Co-Chair
Linear Algebra Teaching Forum
- Reviewer / Referee
Journal of Computational Science
- Member
Colloquium Committee
- Member
Library Committee
- Reviewer / Referee
Forty-Second International Conference on Machine Learning (ICML 2025)