Research
Research
Application of spectral theory to the Riemann Zeta function and distribution of primes in large arithmetic progressions and quadratic polynomials
Number theoretical applications of higher rank symmetries.
Asymptotic Montgomery-Hooley variance results for general sequences
Higher Order Fourier analysis
I have previously worked on:
Binary additive problems in (subsets of) the primes
The Fourier-Analytic transference principle
The Circle Method
The divisor function along arithmetic progressions and binary cubic polynomials (with J. Merikoski) ArXiv
The Exceptional Set in Goldbach's Problem with two Chen Primes (with J. Teräväinen) ArXiv
On the greatest prime factor and uniform equidistribution of quadratic polynomials (with J. Merikoski). Arxiv
Weighted averages of SL_2(R) automorphic kernel, Part I: non-oscillatory functions (with J. Merikoski). Arxiv
Twisted correlations of the divisor function via SL_2(R) Poincaré series (with J. Merikoski). ArXiv
On a conjecture of Elliott concerning a probabilistic variant of Titchmarsh's divisor problem (with O. Gorodetsky). Q.J. Math (2024), ArXiv
The exceptional set in Goldbach's Problem with Almost Twin Primes (with J. Teräväinen). ArXiv
Additive Problems in Almost Prime Squares (with V. Blomer, J. Li, S. Myerson). GAFA (2023), ArXiv
Goldbach Numbers in Short Intervals. Ann. Sc. Norm. Super. Pisa Cl. Sci (2022), ArXiv
Vinogradov's Theorem with Fouvry-Iwaniec Primes. Algebra and Number Theory (2022), ArXiv
Representation of Squares by nonsingular Cubic Forms (with W. Sawin). Israel Journal of Mathematics (2021), ArXiv
Modern Applications of the Circle Method, PhD Thesis (2019). Available online