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Walter Bridges

Assistant Professor

University of North Texas

Department of Mathematics

Email: Walter.Bridges@unt.edu

Education

  • PhD, Louisiana State University, 2020
    Major: Mathematics
    Dissertation: Combinatorial and Asymptotic Statistical Properties of Partitions and Unimodal Sequences
  • MS, Louisiana State University, 2018
    Major: Mathematics

Teaching

Teaching Experience

    University of North Texas

  • MATH 1710 - Calculus I, 2 courses.
  • MATH 1720 - Calculus II, 2 courses.
  • MATH 4050 - Advanced Study of the Secondary Mathematics Curriculum, 1 course.

Research

Published Intellectual Contributions

    Journal Article

  • Bridges, W., Bringmann, K. (2024). A Rademacher-type exact formula for partitions without sequences. Quarterly Journal of Mathematics. 75
  • Bridges, W., Bringmann, K., Franke, J., Brindle, B. (2024). Asymptotic expansions for partitions generated by infinite products. Mathematische Annalen. 390
  • Bridges, W., Bringmann, K., Franke, J. (2024). On the number of irreducible representations of $\mathfrak{su}(3)$. Acta Arithmetica. 215
  • Bridges, W., Males, J., Franke, J. (2024). Sign changes in statistics for plane partitions. Journal of Mathematical Analysis and Applications. 530
  • Bridges, W., Bringmann, K. (2024). Taylor coefficients of false Jacobi forms and ranks of unimodal sequences. Advances in Mathematics. 426
  • Bridges, W. (2023). Limit shapes for unimodal sequences. International Journal of Number Theory. 19
  • Bridges, W., Bringmann, K. (2023). Log concavity for unimodal sequences. Research in Number Theory. 6
  • Bridges, W., Garnowski, T., Franke, J. (2022). Asymptotics for the twisted eta-product and applications to sign changes in partitions. Research in the Mathematical Sciences. 426
  • Bridges, W., Bringmann, K. (2022). Statistics for unimodal sequences. Advances in Mathematics. 401
  • Bridges, W., Uncu, A. (2022). Weighted cylindric partitions. Journal of Algebraic combinatorics. 56
  • Bridges, W. (2020). Partitions into distinct parts with bounded largest part. Research in Number Theory. 6

Presentations Given

    Invited Talk

  • Bridges, W. (Author & Presenter), Algebra and Number Theory Seminar, The Proportion of Coprime Fractions in Number Fields, Louisiana State University, United States of America. (2025).
  • Bridges, W. (Author & Presenter), Vanderbilt Number Theory Seminar, Zero Attractor and Sign Changes in Partition Polynomials, Vanderbilt University, United States of America. (2024).
  • Bridges, W. (Author & Presenter), University of North Texas Algebra Seminar, Integer Partitions, Automorphic Forms, and Random Representations of Lie Algebras, University of North Texas, United States of America. (2024).
  • Bridges, W. (Author & Presenter), AMS Fall Central Section Meeting, Statistics for Representations of $\mathfrak{sl}_3(\mathbb{C})$, University of Texas at San Antonio, United States of America. (2024).
  • Bridges, W. (Author & Presenter), Mini Symposium on Algebra and Applications, Statistics for Integer Partitions, Kutaisi International University, Georgia. (2024).
  • Bridges, W. (Author & Presenter), The legacy of Ramanujan: Celebrating the 85th Birthdays of George Andrews and Bruce Berndt, Statistics for representations of $\mathfrak{sl}_3(\mathbb{C})$, Pennsylvania State University, United States of America. (2024).
  • Bridges, W. (Author & Presenter), Texas-Oklohoma Representations and Automorphic Forms XIII, TORA XIII, False modularity and partition statistics, University of North Texas, United States of America. (2024).
  • Bridges, W. (Author & Presenter), AMS Joint Mathematics Meetings: Special Session on Partition Theory and q-Series, Limit shapes for Andrews--Gordon partitions, San Fransisco, United States of America. (2024).
  • Bridges, W. (Author & Presenter), Number Theory and Combinatorics Seminar, Methods in asymptotic statistics for partitions, University of Texas at Tyler, United States of America. (2023).
  • Bridges, W. (Author & Presenter), Specialty Seminar in Partition Theory, q-Series and Related Topics, Methods in asymptotic statistics for partitions, Michigan Technological University, United States of America. (2023).
  • Bridges, W. (Author & Presenter), Mini Symposium on Algebra and Applications, Log concavity for unimodal sequences, Kutaisi International University, Georgia. (2023).
  • Bridges, W. (Author & Presenter), 35th Automorphic Forms Workshop, False modularity and ranks for unimodal sequences, Louisiana State University, United States of America. (2023).
  • Bridges, W. (Author & Presenter), Algorithmic Combinatorics and Computer Algebra Seminar, Statistics for partitions and unimodal sequences, Research Institute for Symbolic Computation, Johannes Kepler Universität, Austria. (2023).
  • Bridges, W. (Author & Presenter), Workshop on Cylindric Partitions, Weighted cylindric partitions, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austria. (2022).
  • Bridges, W. (Author & Presenter), Ramanujan and Euler: Partitions, Mock Theta Functions and q-Series, Weighted cylindric partitions, online (unaffiliated), Germany. (2022).
  • Bridges, W. (Author & Presenter), 100 Years of Mock Theta Functions: New Directions in Partitions, Modular Forms and Mock Theta Functions, False modularity and ranks for unimodal sequences, Vanderbilt University, United States of America. (2022).
  • Bridges, W. (Author & Presenter), Early Number Theory Researchers Seminar (ENTR), False theta functions and asymptotic series for ranks of unimodal sequences, Technische Universität Darmstadt, Germany. (2022).
  • Bridges, W. (Author & Presenter), AMS Joint Mathematics Meetings: Special Session on Early Career Number Theory Research with Combinatorics, Product-sum identities from restricted plane partitions, Seattle, United States of America. (2022).
  • Bridges, W. (Author & Presenter), AMS Joint Mathematics Meetings: Special Session on Modular Forms and Combinatorics, Asymtotics for coeffcients of twisted eta-products and applications to sign changes in integer partitions, Seattle, United States of America. (2022).
  • Bridges, W. (Author & Presenter), University of Cologne Number Theory Seminar, Statistics for partitions and unimodal sequences, University of Cologne, Germany. (2021).
  • Bridges, W. (Author & Presenter), Specialty Seminar in Partition Theory, q-Series and Related Topics, Weighted cylindric partitions, Michigan Technical University, United States of America. (2021).
  • Bridges, W. (Author & Presenter), Number Theory Lunch Seminar, Statistics for unimodal sequences, Max Plank Institute for Mathematics, Bonn, Germany. (2021).

    • Lecture

  • Bridges, W. (Presenter), (5 summer school lectures on asymptotic methods), Nesin Mathematics Village, Turkey. (2022).

Service

University Service

  • Committee Member, Complex Analysis Qualifying Exam Committee. (August 1, 2024 - December 31, 2024).

Professional Service

  • Reviewer, Journal Article, Several Mathematics Journals. (January 2024 - December 2024).
  • Reviewer, Journal Article, Several Mathematics Journals. (January 2023 - December 2023).
  • Reviewer, Journal Article, Several Mathematics Journals. (January 2022 - December 2022).
  • Reviewer, Journal Article, Several Mathematics Journals. (January 2021 - December 2021).