Rosa Winter



FernUni/UniDistance
Faculty of Mathematics and Computer Science
Schinerstrasse 18
3900 Brig
rosa.winter (at) unidistance.ch
RosaWinter
I am a postdoc in number theory at the FernUni Schweiz/UniDistance Suisse.

Previously I was a research associate in the Number Theory Group of King's College London, working with Rachel Newton. Before that I was a postdoctoral researcher in the Nonlinear Algebra group of Bernd Sturmfels 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

    Preprints

  • [10] Generalized Eckardt points on del Pezzo surfaces of degree 1 (with J. Desjardins, Y. Fu and K. Isham). Submitted.
    Link to arXiv (2024).
  • [9] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one (with J. Desjardins). Submitted.
    Link to arXiv (2023), and magma code.




    • Published

  • [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] Recovery from Power Sums (with B. Sturmfels and H. Melánová). Experimental Mathematics (2022), 10pp.
    Link to the journal (open access).
  • [5] 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.
  • [4] 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).
  • [3] 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.
  • [2] 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.
  • [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