Daniel Altman

I am currently a postdoc at Stanford. Before this I was at Michigan for a year after finishing my PhD in 2023 under Ben Green at Oxford. Before that I was an undergraduate at UNSW Sydney.
From my first day in Oxford

Research Interests

I have fairly broad research interests, scattered around the areas of number theory and combinatorics. Of late, I have found myself spending a lot of my time thinking about higher order Fourier analysis.

Papers

  1. Deterministic polynomial factorisation modulo many primes
    Altman, D
    arxiv:2509.12705

  2. On polynomial progressions via transference
    Altman, D, Sawhney, M
    arxiv:2506.13010

  3. On the uncommonness of minimal rank-2 systems of linear equations
    Altman, D, Liebenau, A
    Bulletin of the London Mathematical Society, (2025), https://doi.org/10.1112/blms.70135

  4. Local aspects of the Sidorenko property for linear equations
    Altman, D
    Forum of Mathematics, Sigma, accepted.

  5. On the smallest gap in a sequence with Poisson pair correlations
    Altman, D, Chase, Z
    Combinatorics, Probability and Computing, 34 (2025), no. 2, 283–297.

  6. On a question of Alon, a.k.a. On a common-extendable, non-Sidorenko linear system
    Altman, D
    Combinatorial Theory, 3 (2023), no. 3, Paper No. 5, 12 pp.

  7. A non-flag arithmetic regularity lemma and counting lemma
    Altman, D
    Compositio Mathematica, 161 (2025), no. 3, 635-679.

  8. On a conjecture of Gowers and Wolf
    Altman, D
    Discrete Analysis, 2022, Paper No. 10, 13 pp.
    editorial introduction

  9. On Szemerédi's theorem with differences from a random set
    Altman, D
    Acta Arithmetica, Volume 195, 2020, Pages 97-108.

  10. A threshold result for loose Hamiltonicity in random regular uniform hypergraphs
    Altman, D, Greenhill, C, Isaev, M, Ramadurai, R
    Journal of Combinatorial Theory (Series B), Volume 142, May 2020, Pages 307-373.

Italy; between Michigan and Stanford

Contact Details

Office: 384F
E-mail: can be found in my papers; see links above.

Other

I like cricket. Here is a video of the final day of our match against Cambridge in 2022. Here is a clip of a straight drive against arguably the best XI that Mark Ramprakash has ever coached.


Thanks to Ofir Gorodetsky for letting me steal his html.
Last updated: Oct. 2025.