Rachel Bailey

Rachel Bailey

Research Interests

Orthogonal Polynomials, Operator Theory

Professional Memberships

  • Mathematical Association of America 2024-07-01 - Present
  • Society for Industrial and Applied Mathematics 2025-06-03 - Present

    • Awards and Honors

  • Bentley Inclusive Teaching Fellow, Bentley University
  • FAC Teaching Grant, Bentley University Faculty Affairs Committee
  • JMM Poster Award, Association for Women in Mathematics
  • Summer Doctoral Dissertation Fellowship, University of Connecticut
  • Predoctoral Fellowship, University of Connecticut
  • Louis J. Deluca Memorial Award: Excellence in Teaching, University of Connecticut
  • Connie Strange Community Award, University of Connecticut

    • Scholarly Contributions and Creative Productions

    Journal Articles

  • Bailey, R., Derevyagin, M., Costa, S., Findley, C., Zuang, K. (2025). Jacobi matrices that realize perfect quantum state transfer and Early State Exclusion. Quantum Information Processing
  • Bailey, R. (2025). Orthogonal Polynomials and Perfect State Transfer. Philosophical Transactions of the Royal Society A
  • Bailey, R., Derevyagin, M. (2024). DEK-Type orthogonal polynomials and a modification of the Christoffel formula. Journal of Computational and Applied Mathematics 438
  • Bailey, R., Derevyagin, M. (2024). DEK-type orthogonal polynomials and a modification of the Christoffel formula. Journal of Computational and Applied Mathematics, (438) Issue (Link)
  • Bailey, R., Derevyagin, M. (2023). Complex Jacobi Matrices generated by Darboux transformations.. Journal of Approximation Theory, (288)
  • Bailey, R., Derevyagin, M. (2023). Complex Jacobi matrices generated by Darboux transformations. Journal of Approximation Theory, (288) Issue (Link)
  • Bailey, R., Gunawan, E. (2022). Cluster Algebras and Binary Subwords. Order 39
  • Bailey, R., Gunawan, E. (2022). Cluster Algebras and Binary Subwords. Order, (39) 1 (Link)
  • Bailey, R., Teplyaev, A., Rogers, L., Akwei, B., Atkins, B., Dalal, A., Dinin, N., Kerby-White, J., Patricks, T., Romanelli, G., Su, Y. Convergence, optimization and stability of singular eigenmaps. (Link) (In Progress)

    • Conference Proceedings

  • Bailey, R., Gunawan, E. (2019). “Cluster algebras and binary words” FPSAC Slovenia

    • Presentations

  • Bailey, R. (2026). “Orthogonal Polynomials in Quantum Computing” Presented at the Union College Mathematics Seminar Union College
  • Bailey, R. (2025). “Orthogonal Polynomials and Perfect State Transfer” Presented at the SIAM The Third Joint SIAM/CAIMS Annual Meetings Montreal, Canada
  • Bailey, R. (2025). “Jacobi Matrices That Realize Early State Exclusion” Presented at the 2025 Progress in Discrete and Continuous Probability
  • Bailey, R. (2025). “Celebrating Women in Math” Presented at the International Celebration of Women in Math
  • Bailey, R. (2025). “Orthogonal Polynomials and Perfect State Transfer” Presented at the AMS AMS Spring Eastern Sectional Meeting
  • Bailey, R., Cartisano, A., Wormleighton, B., Pallage, H. (2025). “Defining Your Limits: A Discussion on Setting Boundaries in Your Academic Career” Presented at the MAA MAA MathFest Sacramento, CA
  • Bailey, R. (2025). “Early State Exclusion in Quantum Spin Chains” Presented at the Bentley Mathematical Sciences Research Seminar
  • Bailey, R. (2024). “DEK-Type Orthogonal Polynomials (The Extended Version)” Presented at the University of New Mexico Analysis Seminar
  • Bailey, R. (2024). “A Random Walk Along the Theory of Orthogonal Polynomials” Presented at the University of Hartford Mathematics Colloquium
  • Bailey, R. (2024). “A new perspective on an old example” Presented at the AMS JMM Special Session: Numerical Analysis, Spectral Graph Theory, Orthogonal Polynomials, and Quantum Algorithms
  • Bailey, R. (2023). “Orthogonal Polynomials and Quantum Walks on Graphs” Presented at the SIAM Quantum Walks on Graphs Worksho
  • Bailey, R. (2023). “A Modification of the Christoffel Formula” Presented at the AMS JMM Special Session: Orthogonal Polynomials and their Applications III
  • Bailey, R. (2022). “Darboux Transformation and Exceptional Orthogonal Polynomials” Presented at the Bridgewater State University Math Seminar
  • Bailey, R. (2022). “Modification of the Christoffel Formula” Presented at the Advances In Operator Theory and Applications to Mathematical Physics Orange, CA
  • Bailey, R. (2022). “Probability in Quantum Computing” Presented at the SIAM Quantum Computing Workshop
  • Bailey, R. (2022). “The Dubov-Eleonskii-Kulagin Polynomials and a Modification of the Christoffel Formula” Presented at the AMS AMS Spring Eastern Sectional Meeting
  • Bailey, R. (2019). “Cluster Algebras and Binary Words” Presented at the Formal Power Series and Algebraic Combinatorics Ljubljana, Slovenia

    • Reviews

  • Bailey, R., Carter, N. (2026). A Review of OER Math Homework Systems. Scholars @ Bentley (Link)

    • Service

    Service: Department

  • Course Coordinator for MA131 Course Coordinator - Present
  • Committee Member for Teaching Methods Committee - Present
  • Committee Chair for Social Committee 9/1/24 - Present
  • Committee Member for CADS Advisory Board - Present
  • Committee Member for Calculus enrollment working group 1/1/24 - Present

    • Service: University

  • Committee Member for Beyond BASICS Faculty Learning Community - Present
  • Fellow for Inclusive Teaching Fellows Initiative - Present