Rosa Winter



Albert-Ludwigs-Universität Freiburg
Mathematisches Institut
Ernst-Zermelo-Straße 1
79104 Freiburg
rosa.winter (at) math.uni-freiburg.de
RosaWinter
I am a Marie Skłodowska-Curie Postdoctoral Fellow at Albert-Ludwigs-Universität Freiburg.

Previously I held postdoc positions in the number theory groups of Unidistance Suisse and King's College London, and in the Nonlinear Algebra group at MPI-MiS in Leipzig. I obtained my PhD under the supervision of Martin Bright and Ronald van Luijk at Universiteit Leiden in 2021.

My research interests are mainly in arithmetic geometry, more specifically, in the arithmetic of surfaces. I mostly focus on low-degree del Pezzo surfaces, and study their arithmetic, geometric, and combinatorial aspects. More broadly, I like to explore applications of algebraic geometry and number theory to other areas of mathematics.


Upcoming talks



Papers

  • [10] Generalized Eckardt points on del Pezzo surfaces of degree 1 (with J. Desjardins, Y. Fu and K. Isham). Accepted for publication in Research Directions in Number Theory - Women in Numbers 6, Springer.
    Link to arXiv (2024).

  • [9] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one (with J. Desjardins). Canadian Mathematical Bulletin, Vol 68 No 2 (2025), pp. 634-652.
    Link to the journal (open access), and magma code.
  • [8] Campana points on diagonal hypersurfaces (with F. Balestrieri, J. Brandes, M. Kaesberg, M. Pieropan, and J. Ortmann). Women in Numbers Europe IV: Research Directions in Number Theory. Springer, Association for Women in Mathematics Series, Vol 32 (2024), pp. 63-92.
    Link to the book, and to the accepted version on arXiv.
  • [7] Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces (with J. Demeio and S. Streeter). Proceedings of the London Mathematical Society, Vol 128 No 5 (2024), 28pp.
    Link to the journal (open access).
  • [6] Concurrent exceptional curves on del Pezzo surfaces of degree one (with R. van Luijk). Mathematics of Computation, Vol 92 (2023), pp. 451-481.
    Link to the journal, and to the accepted version on arXiv, with magma code 1 and magma code 2.
  • [5] Recovery from Power Sums (with B. Sturmfels and H. Melánová). Experimental Mathematics, Vol 33 No 2 (2022), pp. 225–234.
    Link to the journal (open access).
  • [4] Density of rational points on a family of del Pezzo surfaces of degree one (with J. Desjardins). Advances in Mathematics, Vol 405 (2022), 20pp.
    Link to the journal (open access), and magma code.
  • [3] Linear Spaces of Symmetric Matrices with Non-Maximal Maximum Likelihood Degree (with Y. Jiang and K. Kohn). Le Matematiche, Vol 76 No 2 (2021), pp. 461-481.
    Link to the journal (open access).
  • [2] Fields of definition of elliptic fibrations on covers of certain extremal rational ellipic surfaces (with V. Cantoral-Farfán, A. Garbagnati, C. Salgado, and A. Trbović). Women in Numbers Europe III: Research Directions in Number Theory. Springer, Association for Women in Mathematics Series, Vol 24 (2021), pp. 171-205.
    Link to the book, and to the accepted version on arXiv.
  • [1] The action of the Weyl group on the E8 root system (with R. van Luijk). Graphs and Combinatorics, Vol 37 No 6 (2021), pp. 1965-2064.
    Link to the journal (open access), and to the accepted version on arXiv, with magma code.


    • Theses

  • PhD thesis: Geometry and arithmetic of del Pezzo surfaces of degree 1 (2021).
  • Master thesis: Concurrent exceptional curves on del Pezzo surfaces of degree one (2014).
  • Bachelor thesis: Elliptic curves over Qp (2011).


Code





Seminars I organized



Teaching