Research by Gabe Udell

If you have questions or ideas relating to anything I have done, don't hesitate to reach out!

Publications

• A degeneration of the brick variety and a mixed subdivision of the associahedron into cubes[with Raj Gandhi]
  (Accepted to FPSAC 2025 conference proceedings)
  Presented at: CMS winter meeting 2023, CAAC 2024, MAAGC 2025, Fields institute algebraic combinatorics seminar
• Inversions in Parking Functions[with Kyle Celano, Jennifer Elder, Kimberly P. Hadaway, Pamela E. Harris, and Amanda Priestley]
  (Accepted to FPSAC 2025 conference proceedings)
• Interpolating between ordinary and bumpless pipe dreams [with Allen Knutson]
  FPSAC 2023 conference proceedings
  Presented at: Online Schubert Seminar (2022), Graduate Student Combinatorics Conference (2023), Cornell Discrete Geometry and Combinatorics Seminar (2023), FPSAC 2023, Dartmouth Combinatorics Seminar (2024)
• Factorization length distribution for affine semigroups V: explicit asymptotic behavior of weighted factorization lengths on numerical semigroups [with Stephan Ramon Garcia]
  (submitted)
• Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups [with Stephan Ramon Garcia and Christopher O'Neill]
  Communications in Algebra, 2022
• Characterizing finite groups whose enhanced power graphs have universal vertices [with David G. Costanzo, Mark L. Lewis, Stefano Schmidt, and Eyob Tsegaye]
  Czechoslovak Mathematical Journal , 2024
• The cyclic graph (deleted enhanced power graph) of a direct product [with David G. Costanzo, Mark L. Lewis, Stefano Schmidt, and Eyob Tsegaye]
  Involve, a Journal of Mathematics , 2021
  Presented at: Young Mathematicians Conference (2019)
• The Cyclic Graph of a Z-Group [with David G. Costanzo, Mark L. Lewis, Stefano Schmidt, and Eyob Tsegaye]
  Bulletin of the Australian Mathematics Society, 2021
  Presented at: Young Mathematicians Conference (2019)
• A Tauberian Approach to Weyl's law for the Kohn Laplacian on spheres [with Henry Bosch, Tyler Gonzales, Kamryn Spinelli, and Yunus E. Zeytuncu]
  Canadian Mathematical Bulletin, 2022
  Presented at: Joint Mathematics Meeting (2020)
• CR embeddability of quotients of the Rossi sphere via spectral theory [with Henry Bosch, Tyler Gonzales, Kamryn Spinelli, and Yunus E. Zeytuncu]
  International Journal of Mathematics , 2022
  Presented at Joint Mathematics Meeting (2020)
• Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples [with Stephan Ramon Garcia and Jiahui Yu]
  Journal of Number Theory, 2021
• Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function [with Stephan Ramon Garcia, Florian Luca, and Kye Shi]
  Journal of Number Theory, 2020
  Presented at Young Mathematicians COnference (2019), Claremont Center for Mathematical Sciences student poster session (2019)