My research lies in number theory, with a focus on p-adic Galois representations and automorphic forms. Broadly speaking, I study how deep symmetries in arithmetic can be described through linear algebra. A central theme of my work is the emerging mod-p Langlands program, which seeks to connect two worlds: algebraic objects called Galois representations and analytic objects called automorphic representations, after reducing them modulo a prime number p. While this correspondence is fully understood only in one case—G_2(Q_p)—many questions remain open in more general settings. My projects aim to shed light on these questions by analyzing candidates for such correspondences, with a focus on phenomena such as the weight part of Serre’s conjecture, the Breuil–Mézard conjecture, mod-p local–global compatibility, and the Gelfand–Kirillov dimension. In this way, my work provides new evidence and tools for advancing the mod-p Langlands program.