Rosa Winter - Research Associate



King's College London
Strand Campus, Office S5.43
Strand, London, WC2R 2LS
rosa.winter (at) kcl.ac.uk
RosaWinter
I am a research associate in the Number Theory Group of King's College London, working with Rachel Newton.

From 2020 until 2021 I was a postdoctoral researcher in the Nonlinear Algebra group of Bernd Sturmfels at MPI-MiS in Leipzig. Before this I was a PhD student under the supervision of Martin Bright and Ronald van Luijk at Universiteit Leiden.

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

  • Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces (with J. Demeio and S. Streeter).
    Link to arXiv (2023).
  • Campana points on diagonal hypersurfaces (with F. Balestrieri, J. Brandes, M. Kaesberg, M. Pieropan, and J. Ortmann). Submitted.
    Link to arXiv (2023).
  • Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one (with J. Desjardins). Submitted.
    Link to arXiv (2022), and magma code.




    • Published

  • 6. Recovery from Power Sums (with B. Sturmfels and H. Melánová). Experimental Mathematics (2022).
    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).
    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

  • Summer 2022: Supervision of two master's students, King's College London
  • Fall 2016 - Fall 2019: Calculus (Teacher), Leiden University College, The Hague
  • Spring 2018: Elliptic curves (Teaching assistant), Dutch Mastermath course
  • Fall 2013: Rational Points on Varieties (Teaching assistant), Dutch Mastermath course
  • From 2014 until 2016 I was a mathematics teacher at Calandlyceum Amsterdam, as part of the traineeship Eerstde Klas.