I have done very little research, as I am only a first year masters student. However, there was a cute result that I proved as a bonus question in one of my undergraduate classes. Here it is:
An exceptional equinumerosity of lattice paths and Young tableaux (with Liam Ayres, Evan Bialo, Aidan Cook, Alwin Chen, Erica Liu, Maryam Mohammadi Yekta, Oliver Pechenik, and Benjamin Wong)
Journal of Integer Sequences 28, 2025, Article No. 25.5.2, 9 pages.
arXiv:2506.03116
I will (hopefully) be sure to update this list as I do more research!