Dr. Tracy Weyand's primary research is in the areas of analysis and mathematical physics, specializing in spectral graph theory. She has authored or co-authored over a dozen papers on spectral graph theory, incorporating modeling in differential equations courses, and integrating mathematics and engineering curriculum. She directed a student research project that has been published. Dr. Weyand is the faculty advisor for the Rose-Hulman Student Chapter of the AWM (Association for Women in Mathematics), and runs Rose's annual Sonia Math Day outreach program for high school students.
Academic Degrees
- Ph.D. Texas A&M University, 2014
- B.S. University of Central Florida, 2008
Awards & Honors
- Association for Women in Mathematics Service Award
Research Interests
- Mathematical Physics
- Spectral Theory
- Quantum Graphs
- Incorporating Mathematical Modeling in Differential Equation Courses
- Integrating Mathematics and Engineering Curriculum
Select Publications
- J. M. Harrison, and T. Weyand, Spectral Determinants of Almost Equilateral Quantum Graphs, Anal. Math. Phys., 15, 71 (2025)
- C. Berry, L. Holder, N. Pfiester, and T. Weyand, Concept Maps Afford Connections from Mathematics and Physics to Electrical Engineering Courses, IEEE Transactions on Education, pp. 1-7 (2024)
- J. M. Harrison, and T. Weyand, Can One Hear the Number of Spanning Trees of a Quantum Graph?, Lett. Math. Phys., 113 (2023)
- J. M. Harrison, T. Weyand, and K. Kirsten, Zeta Functions of the Dirac Operator on Quantum Graphs, J. Math. Phys., 57 (2016)
- R. Band, G. Berkolaiko, and T. Weyand, Anomalous Nodal Count and Singularities in the Dispersion Relation of Honeycomb Graphs, J. Math. Phys., 56 (2015)
- Mathfest Minicourse (for teachers) -- Organizer and Presenter: A Toolbox for Modeling the World in Your Classroom (2024)
Teaching Interests
- Calculus and Differential Equations
- Linear Algebra
- Real and Complex Analysis