Anders Södergren

Address: Department of Mathematical Sciences
Chalmers University of Technology
SE-412 96 Gothenburg
Sweden
Office: H4030
Email: andesod at chalmers dot se


I am an Associate Professor (Docent) at Chalmers University of Technology. I have previously worked at Örebro University (senior lecturer), the University of Copenhagen (postdoc), the Institute for Advanced Study in Princeton (postdoc) and Uppsala University (PhD student).

My research interests are in (analytic) number theory and related fields. I'm particularly interested in (zeros of) L-functions and zeta functions, the geometry of numbers and automorphic forms and functions.

I organize, together with Christian Johansson, the Seminar in Algebraic Geometry and Number Theory at Chalmers and the University of Gothenburg.

Preprints

  1. A. Strömbergsson, A. Södergren, On a mean value formula for multiple sums over a lattice and its dual, preprint 2022 (preliminary version).

  2. P. Meisner, A. Södergren, Low-lying zeros in families of elliptic curve L-functions over function fields, preprint 2021.

  3. A. Shankar, A. Södergren, N. Templier, Central values of zeta functions of non-Galois cubic fields, preprint 2021.

  4. P. Cho, D. Fiorilli, Y. Lee, A. Södergren, Omega results for cubic field counts via lower-order terms in the one-level density, preprint 2021.

  5. L. Devin, D. Fiorilli, A. Södergren, Low-lying zeros in families of holomorphic cusp forms: the weight aspect, preprint 2019, accepted for publication in Quarterly Journal of Mathematics.



Publications

  1. O. Balkanova, B. Huang, A. Södergren, Non-vanishing of Maass form L-functions at the central point,
    Proceedings of the American Mathematical Society 149 (2021), 509-523.
    Paper Preprint

  2. J. Andersson, A. Södergren, On the universality of the Epstein zeta function,
    Commentarii Mathematici Helvetici 95 (2020), no. 1, 183-209.
    Paper Preprint

  3. A. Shankar, A. Södergren, N. Templier, Sato-Tate equidistribution of certain families of Artin L-functions,
    Forum of Mathematics, Sigma 7 (2019), e23 (62 pages).
    Paper Preprint

  4. A. Strömbergsson, A. Södergren, On the generalized circle problem for a random lattice in large dimension,
    Advances of Mathematics 345 (2019), 1042-1074.
    Paper Preprint

  5. D. Fiorilli, J. Parks, A. Södergren, Low-lying zeros of quadratic Dirichlet L-functions: A transition in the Ratios Conjecture,
    Quarterly Journal of Mathematics 69 (2018), no. 4, 1129-1149.
    Paper Preprint

  6. A. Strömbergsson, A. Södergren, On the location of the zero-free half-plane of a random Epstein zeta function,
    Mathematische Annalen 371 (2018), no. 3-4, 1191-1227.
    Paper Preprint Related computer files

  7. D. Fiorilli, J. Parks, A. Södergren, Low-lying zeros of quadratic Dirichlet L-functions: Lower order terms for extended support,
    Compositio Mathematica 153 (2017), 1196-1216.
    Paper Preprint

  8. M. S. Risager, A. Södergren, Angles in hyperbolic lattices: The pair correlation density,
    Transactions of the American Mathematical Society 369 (2017), no. 4, 2807-2841.
    Paper Preprint

  9. D. Fiorilli, J. Parks, A. Södergren, Low-lying zeros of elliptic curve L-functions: Beyond the Ratios Conjecture,
    Mathematical Proceedings of the Cambridge Philosophical Society 160 (2016), no. 2, 315-351.
    Paper Preprint

  10. A. Södergren, On the value distribution of the Epstein zeta function in the critical strip,
    Duke Mathematical Journal 162 (2013), no. 1, 1-48.
    Paper Preprint

  11. A. Södergren, On the uniform equidistribution of closed horospheres in hyperbolic manifolds,
    Proceedings of the London Mathematical Society (3) 105 (2012), no. 2, 225-280.
    Paper Preprint

  12. A. Södergren, On the distribution of angles between the N shortest vectors in a random lattice,
    Journal of the London Mathematical Society (2) 84 (2011), no. 3, 749-764.
    Paper Preprint

  13. A. Södergren, On the Poisson distribution of lengths of lattice vectors in a random lattice,
    Mathematische Zeitschrift 269 (2011), no.3-4, 945-954.
    Paper Preprint

  14. A. Södergren, On the value distribution and moments of the Epstein zeta function to the right of the critical strip,
    Journal of Number Theory 131 (2011), no.7, 1176-1208.
    Paper Preprint

Phd Thesis

  1. A. Södergren, Asymptotic problems on homogeneous spaces,
    Uppsala Dissertations in Mathematics 68, Department of Mathematics, Uppsala University, Uppsala, 2010.