Publications

  • (with M. Lee and A. Strömbergsson) Effective equidistribution of primitive rational points on expanding horospheres, preprint [arXiv]

  • (with C. Aistleitner and M. Munsch) Difference sets and the metric theory of small gaps, International Mathematics Research Notices (2021) [arXiv] [IMRN]

  • (with C. Aistleitner and M. Munsch) A pair correlation problem, and counting lattice points with the zeta function, Geometric and Functional Analysis 31 (2021) 483-512 [arXiv] [GAFA]

  • (with C. Pagano) Diameters of random Cayley graphs of finite nilpotent groups, Journal of Group Theory 24, no. 5 (2021) 1043-1053 [arXiv] [JGT]

  • (with D. Loughran and E. Sofos) Multivariate normal distribution for integral points on varieties, Transactions of the American Mathematical Society 375 (2022) 3089-3128 [arXiv] [TAMS]

  • (with B. Huang and M. Lee) Effective joint equidistribution of primitive rational points on expanding horospheres, Journal of the European Mathematical Society (2022) [arXiv] [JEMS]

  • An analogue of the Erdős-Kac theorem for the special linear group over the integers, Acta Arithmetica 192 (2020) 181-188 [arXiv] [AA]

  • (with B. Huang) Equidistribution of the lengths of the primitive vectors in integer lattices, Appendix to Uniform distribution of saddle connection lengths, by J. Chaika and D. Robertson, Journal of Modern Dynamics 15 (2019) 329-343 [arXiv] [JMD]

  • Spherical equidistribution in the space of adelic lattices and its applications, preprint [arXiv]

  • (with J. Marklof and I. Vinogradov) The two-point correlation function of the fractional parts of sqrt(n) is Poisson, Proceedings of the American Mathematical Society 143 (2015) 2815-2828 [arXiv] [PAMS]

  • (with J. Marklof and I. Vinogradov) The distribution of directions in an affine lattice: two-point correlations and mixed moments, International Mathematics Research Notices 2015 (2015) 1371-1400 [arXiv] [IMRN]

  • (with I. Boreico and T. Stoll) On a conjecture of Dekking : The sum of digits of even numbers, Journal de Théorie des Nombres de Bordeaux 26 no. 1 (2014) 17-24 [arXiv] [JTNB]