Alex Pascadi

pascadi @ math.uni-bonn.de

I'm currently a postdoctoral researcher at University of Bonn, working with Valentin Blomer. This is my research group.

Previously, I was a PhD student at University of Oxford, supervised by James Maynard.

I completed my Bachelor's and Master's at University of California, Los Angeles, where I was advised by Terence Tao.

I'm mainly interested in analytic number theory, using inputs from the spectral and L-function theory of automorphic forms, Fourier analysis, and combinatorics.

Here is my CV, and below is a list of my papers (ordered by first preprint appearance, most recent first).

Publications and Preprints

Large sieves for GLn and applications, with J. Thorner. Preprint (2025).
On the exponents of distribution of primes and smooth numbers. Preprint (2025).
Density theorems for GLn via Rankin–Selberg L-functions, with J. D. Lichtman. Preprint (2024).
Large sieve inequalities for exceptional Maass forms and the greatest prime factor of n^2+1. Forum Math. Pi, to appear. Preprint (2024).
Smooth numbers in arithmetic progressions to large moduli. Compos. Math. (2025), 161(8), 1923-1974. See also this related Quanta article.
The sparse regularity method with Schatten norms and Shannon entropy. Electron. J. Comb., to appear. Preprint (2023).
Several new product identities in relation to Rogers–Ramanujan type sums and mock theta functions. Res. Math. Sci. (2021), 8(1), 1-58.
Patterns of primes in the Sato–Tate conjecture, with N. Gillman, M. Kural, J. Peng, and A. Sah. Res. Number Theory (2020), 6(1), 1-30.
Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra. Ramanujan J. (2022), 57(1), 1-36.

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