Department of Mathematics

Alheydis Geiger

Alheydis Geiger.jpg
Since July 2022 I am a post-doc in the  "Nonlinear Algebra"-group at Max-Planck-Institut for Mathematics in the Sciences in Leipzig. My current homepage is here.
I was a PhD student of Prof. Hannah Markwig at Eberhard Karls Universität Tübingen. I work in the area of tropical enumerative geometry.


Mathematisches Institut
Eberhard Karls Universität Tübingen
Auf der Morgenstelle 10
72076 Tübingen


  • Since April 2020 PhD studies (Universität Tübingen)
  • March 2020 Master of Science (Universität Tübingen)
    Masterthesis: Tropical Cubic Surfaces - Enumeration and Lines, supervisor: Prof. Hannah Markwig.
  • Sep. 2018 Master of Science (University of Warwick) Masterthesis: Realisability of infinite families of tropical lines on general smooth cubic surfaces, supervisor: Prof. Diane Maclagan
  • Oct. 2016 Bachelor of Science (Universität Tübingen)

Publications & Preprints

Self-dual matroids from canonical curves (mit Sachi Hashimoto, Bernd Sturmfels und Raluca Vlad), arXiv:2212.05910

Towards tropically counting binodal surfaces (joint with Madeline Brandt), arxiv:2112.10626, accepted for publication in La Matematica. Official Journal of the Association for Women in Mathematics

A tropical count of real bitangents to plane quartic curves (joint with Marta Panizzut), arXiv:2112.04433

Computing tropical bitangents to smooth quartic curves in polymake (joint with Marta Panizzut), arXiv:2112.04447, accepted for presentation at MEGA 2022

A tropical count of binodal cubic surfaces (joint with Madeline Brandt), Le Matematiche, Vol 75 No 2 (2020)

On Realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form, Le Matematiche, Vol 75 No 2 (2020)

Conferences, Seminars and Talks

  • Up-coming: 01.08.-05.08.2022 "Young Researchers Conference in Non-Archimedean and Tropical Geometry", Regensburg, Introductory Lecture: "Applications of tropical geometry"
  • Up-coming: 20.06.-24-06.2022 "MEGA", Kraków, Poland
  • 15.03.-17.03.2022, "Lectures on Theta - Replacement", MPI MiS Leipzig
  • 29.11.-1.12.2021 „Women in Algebra and Symbolic Computation II“, SFB-TRR 195, Bad Dürkheim, Talk: „Towards counting tropical binodal surfaces“
  • 24.-30.10.2021, Oberwolfach Seminar: Tropical Curves, Logarithmic Structures, and Enumerative Geometry
  • 13.-16.09.2021, Fifth annual conference of the SFB-TRR 195, RWTH Aachen, Talk: "Counting tropical binodal surfaces" and Joint Talk: "A tropical proof of Plücker's Theorem" with Marta Panizzut
  • 16.08.-20.08.2021 SIAM Conference on Algebraic Geometry, Talk: "Deformations of Bitangent Classes of Tropical Quartic Curves"
  • 07.06.-11.06.2021 MEGA Conference, University Tromsø - The Artic University of Norway, Online.
  • 11.05.2021 Seminar Talk: "Deformations of Bitangent Classes of Tropical Quartic Curves", Tübingen.
  • 22.01.2021 "TGIZ-Tropical geometry in Zoom", Goethe Universität Frankfurt am Main, Talk: "Deformations of bitangent classes of tropical quartic curves"
  • 13.07.-16.07.2020 "International Congress on Mathematical Software", TU Braunschweig, Online Conference, Talk: "Tropical Algebraic Geometry - A tropical count of binodal cubic surfaces"
  • 09.12.-11.12.2019 „Women in Algebra and Symbolic Computation“, SFB-TRR 195, Bad Dürkheim, Talk: „Tropical Cubic Surfaces“
  • 29.07.-02.08.2019 „Young Researchers Conference in Non-Archimedean and Tropical Geometry“, Universität Regensburg, Talk: „Relative Realisability of infinite families of tropical lines on general smooth tropical cubic surfaces“
  • 08.05.2019 Researchseminar, TU Berlin, Talk: "Realisability of infinite families of tropical lines on general smooth cubic surfaces"

Workshops and more

Summer Schools

  • Up-coming: 05.09.-09.09.2022 "Combinatorial Methods in Algebraic Geometry", Cambridge, England
  • Up-coming: 23.05.-27.05.2022 "International Summer School on Tropical Geometry", Valladolid, Spain
  • 06.09.-10.09.2021 "Computeralgebra", RWTH Aachen
  • 23.08.-27.08.2021 "Tropical homology and Hodge theory", online format
  • 26.07.-06.08.2021 "Combinatorial Algebraic Geometry",LMs-Bath Symposium, University of Bath, virtual format
  • 28.06.-02.07.2021 "Tropical Moduli Spaces", EWM/EMS Mittag Leffler summer school, virtual format
  • 06.2020-07.2020 "Algebraic and Tropical Online Meetings"
  • 03.06.2019-07.06.2019 „New Perspectives in Gromov-Witten Theory“, Summer School at Sorbonne Université, Paris


  • winter term 2021/2022: teaching assistant for "Commutative Algebra", Lecturer: Thomas Markwig
  • Since winter term 2020/21: Conductor of the training for mentors in the mentoring programm for first year students (in the winter term 2020/21 together with Sophia Jahns, since summer term 2021 single-handedly)
  • winter term 2020/2021: teaching assistant for "Introduction to algebraic geometry and commutative algebra", Lecturer: Hannah Markwig
  • summer term 2020: teaching assistant for "Algebra", Lecturer: Hannah Markwig
  • 2014-2020: support class teacher for different lectures