Publications:
Submitted/Preprint:
W.J. Wesley, An elementary proof of the 2-regularity of Pythagorean triples (preprint)
W.J. Wesley, The Fibonacci numbers are not 3-accessible (preprint)
S. Chung, W. Du, W.J. Wesley, Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment (submitted)
W.J. Wesley, The exact value of the Ramsey number R(K_4-e,K_7) (submitted)
W.J. Wesley, New bounds for some small multicolor Ramsey numbers (submitted)
Published articles:
P. Pudlák, V. Rödl, and W.J. Wesley, A lower bound on the Ramsey number Rk(k+1,k+1) Advances in Combinatorics (2026).
W.J. Wesley, Lower Bounds for Book Ramsey Numbers Discrete Mathematics 349 (2026).
J.A. De Loera and W.J. Wesley, Ramsey Numbers through the Lenses of Polynomial Ideals and Nullstellensätze Electronic Journal of Combinatorics 33 (2026).
W.J. Wesley, Improved Ramsey-type theorems for Fibonacci numbers and other sequences INTEGERS 25 #A29 (2025).
J.A. De Loera, D. Ventura, L. Wang, and W.J. Wesley, Optimization Tools for Computing Colorings of [1,...,n] with Few Monochromatic Solutions on 3-variable Linear Equations Discrete Applied Mathematics 373 (2025).
J.A. De Loera and W.J. Wesley, An Algebraic Perspective on Ramsey Numbers Séminaire Lotharingien de Combinatoire 89B, Proceedings of the 35th Conference on Formal Power Series and Algebraic Combinatorics (2023).
Y. Chang, J.A. De Loera, and W.J. Wesley, Rado numbers and SAT computations, Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation (2022).
M. Barnett, A. Folsom, and W.J. Wesley, Rank generating functions for odd-balanced unimodal sequences, Journal of the Australian Mathematical Society 109(2) (2020).
M. Barnett, A. Folsom, O. Ukogu, W.J. Wesley, and H. Xu, Quantum Jacobi forms and balanced unimodal sequences, Journal of Number Theory 186 (2018).