Faculty Profiles

Colleges and Departments

Dr. William Nelson Boney

  • Associate Professor - Mathematics
Portrait of Dr. William Nelson Boney

Education

Doctorate Degree

PhD in Mathematical Sciences

Mathematical Logic

Carnegie Mellon University, 2014

Master's Degree

MS in Mathematical Sciences

Carnegie Mellon University, 2010

Bachelor's Degree

BS in Mathematics

Grinnell College, 2008

  • Boney, William Nelson. AMS Epsilon Fund Grants for Young Scholars Programs (2025), American Mathematical Society, Private / Foundation / Corporate, $2500. (Funded: June 2026 - Present). Grant.
  • Boney, William Nelson. AMS Epsilon Fund Grants for Young Scholars Programs (2024), American Mathematical Society, Private / Foundation / Corporate, $2500. (Funded: June 2025 - Present). Grant.
  • Boney, William Nelson. CAREER: Compactness in Incompact Worlds, National Science Foundation, Federal, $503145. (Submitted: July 2023, Funded: July 1, 2024 - June 30, 2029). Grant.
  • Boney, William Nelson. AMS Epsilon Fund Grants for Young Scholars Programs (2023), American Mathematical Society, Private / Foundation / Corporate, $2500. (Funded: March 2024 - Present). Grant.
  • Boney, William Nelson. AMS Epsilon Fund Grants for Young Scholars Programs (2022), American Mathematical Society, Private / Foundation / Corporate, $5000. (Submitted: December 3, 2022, Funded: June 2023 - July 2023). Grant.
View all grants
  • Boney, W. N. (n.d.). Definable Coherent Ultrapowers and Elementary Extensions. Zeitschrift Für Mathematische Logik Und Grundlagen Der Mathematik. Retrieved from https://arxiv.org/abs/1609.02970
  • Boney, W. N. (n.d.). \Sigma_1-Stationary Logic as an \aleph_1-Abstract Elementary Class. Journal of Symbolic Logic.
  • Boney, W. N. (n.d.). A Module-Theoretic Introduction to Abstract Elementary Classes. In Functor and Tensor Categories, Models, and Systems; Satellite Conference of the 9th European Congress of Mathematics, Santiago de Compostela, Spain, June 3-7, 2024, Invited and Selected Contributions. Springer. Retrieved from https://arxiv.org/abs/2503.10528
  • Boney, W. N. (2025). Cofinality quantifiers in Abstract Elementary Classes and beyond. Journal of Symbolic Logic, 90(1). https://doi.org/10.1017/jsl.2023.34
  • Boney, W. N., & VanDieren, M. (2024). Limit models in strictly stable Abstract Elementary Classes. Mathematical Logic Quarterly, 70(4), 438–453. https://doi.org/10.1002/malq.202200075
View all scholarly/creative works
  • Award / Honor Recipient: Department of Mathematics Teaching Award, Department of Mathematics. December 2023
  • Award / Honor Nominee: Department of Mathematics Research Award, Department of Mathematics. December 2023
  • Award / Honor Nominee: Department of Mathematics Teaching Award, Department of Mathematics. December 2022
  • Award / Honor Recipient: Department of Mathematics Research Award, Department of Mathematics. December 2022
  • Award / Honor Recipient: Teaching Award of Honor (shared), Texas State Alumni Associate. August 2020
View all awards
  1. Member

    2025 Mathematical Congress of the Americas Travel Grants Selection Committee (2025)

  2. Member

    AMS-Simons Research Enhancement Grants for PUI Faculty Committee

  3. Chair

    Committee on Committees

  4. Co-Chair

    Assistant Director for Research Projects, Texas Mathworks

  5. Reviewer / Referee

    Annals of Pure and Applied Logic, Bolet´ın de Matem´aticas, Israel Journal of Mathematics, Journal of the European Mathematical Society, Journal of Mathematical Logic, Journal of Symbolic Logic, Mathematical Logic Quarterly, MathReviews

  6. Participant

    Undergraduate Marshall, Summer Commencement

  7. View all activities