Equiangular tight frames in real symplectic space: Zauner's conjecture and the skew Hadamard conjecture 

K. Fallon arxiv: 2509.14463 

preprint 

On the optimal arrangement of 2d lines in C^d 

K. Fallon,  J. W. Iverson, Inf. and Inference, Vol 14(2) iaaf008, (2025). 

preprint | journal article 

Rainbow numbers of [m] x [n] for x1 + x_2 = x_3 

K. Fallon, E. Manhart, J. Miller, H. Rehm, N. Warnberg, L. Zinnel, Integers, Vol 23, A47 (2023). preprint | journal article

Anti-Schur numbers for x_1+x_2+...+x_k-1 = x_k 

K. Fallon, C. Giles, H. Rehm, S. Wagner and N. Warnberg, Australas. J. Combin. Vol. 77, No. 1, 1-8 (2020).  

preprint | journal article