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math.NT2026
Jacobian graphs
Arthur Forey, Javier Fresán, Emmanuel Kowalski +1
We introduce jacobian graphs, which are explicit families of regular graphs that are spectrally indistinguishable from random graphs, but whose local structure is very different fr…
math.NT2025
Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution
Arthur Forey, Javier Fresán, Emmanuel Kowalski
We study the arithmetic Fourier transforms of trace functions on general connected commutative algebraic groups. To do so, we first prove a generic vanishing theorem for twists of…