[2] After graduating in 2012, Julian received his Ph.D. in 2017 under the supervision of Béla Bollobás at the University of Memphis.

is monochromatic, demonstrating the partition regularity of complex exponential patterns.

This work marks a crucial development in understanding the structure of numbers under partitioning.

In 2023, Sahasrabudhe submitted a paper titled An exponential improvement for diagonal Ramsey along with Marcelo Campos,[6] Simon Griffiths,[7] and Robert Morris.

[8] Sahasrabudhe has also worked with Marcelo Campos,[6] Matthew Jenssen,[9] and Marcus Michelen[10] on random matrix theory with the paper The singularity probability of a random symmetric matrix is exponentially small.

In 2020, Sahasrabudhe published a paper named Flat Littlewood Polynomials exists,[12] which he co-authored with Paul Ballister,[13] Bela Bollobás, Robert Morris, and Marius Tiba.

that are flat, meaning their magnitudes remain bounded within a specific range on the complex unit circle.

This achievement not only validates a hypothesis made by Littlewood in 1966 but also contributes significantly to the field of mathematics, particularly in combinatorics and polynomial analysis.

[15] They confirmed and provided a stronger proof of a conjecture proposed by Micheal Filaseta,[16] Kevin Ford, Sergei Konyagin, Carl Pomerance, and Gang Yu,[17][15][18] which states that for distinct moduli within the interval

Furthermore, the authors establish a condition on the moduli that provides an optimal lower bound for the density of the uncovered set.

In October 2023, Julian Sahasrabudhe was awarded with the Salem Prize[20] for his contribution to harmonic analysis, probability theory, and combinatorics.

[1][19] Sahasrabudhe is a 2024 recipient of the Whitehead Prize, given "for his outstanding contributions to Ramsey theory, his solutions to famous problems in complex analysis and random matrix theory, and his remarkable progress on sphere packings".