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

  • 14/11/2022 Number Theory Seminar, University of Warwick.
  • 22/11/2022 Cambridge Number Theory Seminar, University of Cambridge.


Papers

    Preprints

  • 1. Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one (with J. Desjardins). arXiv (2022).




    • 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 (2022).
    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.