About

My name is Sean Reiter. I am a Courant Instructor with the Courant Institute of Mathematical Sciences, New York University. There, I am working in the research group of Dr. Benjamin Peherstorfer on problems in model reduction, data assimilation, and scientific machine learning.

Prior to moving to New York University, I obtained my doctoral degree in mathematics from Virginia Tech in Blacksburg, Virginia, under the supervision of Dr. Mark Embree and Dr. Serkan Gugercin.

Experience & Education

Professional Experience

Courant Instructor Courant Institute of Mathematical Sciences, New York University New York, NY August 2025 – Present
Graduate Research Assistant Department of Mathematics, Virginia Tech Blacksburg, VA January 2019 – May 2025
Givens Associate MCS Division, Argonne National Laboratory Lemont, IL June – August 2022, 2023

Education

Ph.D. in Mathematics Virginia Tech Advised by Dr. Mark Embree and Dr. Serkan Gugercin Dissertation: Dimension Reduction in Structured Dynamical Systems: Optimal-$H_2$ Approximation, Data-Driven Balancing, and Real-Time Monitoring Blacksburg, VA May 2025
M.S. in Mathematics Virginia Tech Advised by Dr. Mark Embree and Dr. Serkan Gugercin
Thesis: On the Tightness of the Balanced Truncation Error Bound with an Application to Arrowhead Systems 		Blacksburg, VA December 2021
B.S. in Mathematics Virginia Tech In Honors, Minor in Chemistry, Summa Cum Laude Blacksburg, VA May 2018

Research Projects

Projects will appear here. To add one, open index.html, find the #projects section, and follow the template in the HTML comments above it. Each project card takes an image or video on the left and a title, description, bullet points, and paper links on the right.

Publications

Journal Articles

  • [J3] Reiter, S., Gosea, I. V., and Gugercin, S. (2025). Generalizations of data-driven balancing: What to sample for different balancing-based reduced models. Automatica, 182:112518. 10.1016/j.automatica.2025.112518
  • [J2] Reiter, S., Pontes Duff, I., Gosea, I. V., and Gugercin, S. (2025). $H_2$ Optimal Model Reduction of Linear Systems with Multiple Quadratic Outputs. IEEE Transactions on Automatic Control (published online, 2025). 10.1109/TAC.2025.3636441
  • [J1] Reiter, S., Damm, T., Embree, M., and Gugercin, S. (2024). On the balanced truncation error bound and sign parameters from arrowhead realizations. Advances in Computational Mathematics, 50:10. 10.1007/s10444-024-10105-y

Conference Proceedings

  • [C1] Reiter, S., and Werner, S. W. R. (2025). Interpolatory model reduction of dynamical systems with root mean squared error. IFAC-PapersOnLine, 59(1):385–390. 10.1016/j.ifacol.2025.03.066

Submitted (arXiv Preprints)

  • [P4] Reiter, S., Gosea, I. V., Pontes Duff, I., and Gugercin, S. (2025). $H_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation. arXiv preprint arXiv:2505.03057. 10.48550/arXiv.2505.03057
  • [P3] Reiter, S., and Werner, S. W. R. (2025). Data-driven balanced truncation for second-order systems with generalized proportional damping. arXiv preprint arXiv:2506.10118. 10.48550/arXiv.2506.10118
  • [P2] Reiter, S., Embree, M., Gugercin, S., and Kekatos, V. (2025). Interpolatory Approximations of PMU Data: Dimension Reduction and Pilot Selection. arXiv preprint arXiv:2510.20116. 10.48550/arXiv.2510.20116
  • [P1] Ackermann, M. S., Reiter, S., and Trefethen, L. N. (2025). $L_2$ and $L_\infty$ rational approximation. arXiv preprint arXiv:2512.23357. 10.48550/arXiv.2512.23357

Theses

  • [D] Reiter, S. J. (2025). Dimension Reduction in Structured Dynamical Systems: Optimal-$H_2$ Approximation, Data-Driven Balancing, and Real-Time Monitoring. Ph.D. dissertation, Virginia Polytechnic Institute and State University. hdl:10919/134223
  • [M] Reiter, S. J. (2022). On the Tightness of the Balanced Truncation Error Bound with an Application to Arrowhead Systems. M.S. thesis, Virginia Polytechnic Institute and State University. hdl:10919/107999

Teaching

I have a strong commitment to mathematics education at both the undergraduate and graduate levels. My teaching statement (as of August 2025) describes my philosophy and approach in detail.

Instructor of Record MATH-UA 4424: Numerical Analysis New York University, New York NY Spring 2026
Instructor of Record MATH-UA 352: Numerical Analysis New York University, New York NY Fall 2025
Graduate Teaching Assistant MATH 4864: Computational Modeling and Data Analytics Capstone Virginia Tech, Blacksburg VA Fall 2024
Graduate Instructor of Record MATH 2534: Intro to Discrete Math Virginia Tech, Blacksburg VA Fall 2023
Graduate Instructor of Record CMDA 1634: Discovering Computational Modeling and Data Analytics Virginia Tech, Blacksburg VA Fall 2022
Graduate Instructor of Record MATH 1225: Calculus of a Single Variable Virginia Tech, Blacksburg VA Fall 2021
Graduate Teaching Assistant CMDA 1984: First-year Experience Virginia Tech, Blacksburg VA Fall 2019, 2020
Urban Teachers Resident Teacher College and Career Readiness Math New Era Academy, Baltimore MD Fall 2018