Claudia Fevola
Claudia Fevola is a tenure-track Assistant Professor in the Department of Mathematics at CUNEF Universidad in Madrid since January 2026. Previously, she was a Marie Skłodowska-Curie Fellow (MathInGreaterParis Programme) in the MATHEXP team at INRIA Saclay (2023-2026), and a postdoctoral researcher and PhD student at the Max Planck Institute for Mathematics in the Sciences in Leipzig supervised by Daniele Agostini and Bernd Sturmfels. She received the Otto Hahn Medal of the Max Planck Society in 2024
Research
I am interested in algebraic geometry and its connections with combinatorics, real algebraic geometry and nonlinear algebra. She is particularly interested in algebro-geometric questions arising in particle physics and theoretical cosmology, such as Feynman integrals, their singularities and cosmological integrals. She also works on integrable systems, in particular KP solitons, tropical curves and the Schottky problem.
About me
Indie folk and moody music are my favorite soundtrack while working. Bon Iver, Bahamas, Beirut, Kings of Convenience, Venerus, FKJ and Billie Eilish are on repeat, and sad songs somehow cheer me up.
Publications
Publications
- Euler Discriminant of Complements of Hyperplanes. with Saiei-Jaeyeong Matsubara-Heo. arXiv:2411.19696. To appear in SIAM Journal on Applied Algebra and Geometry. arXiv DOI: https://doi.org/10.48550/arXiv.2411.19696
- Algebraic and Positive Geometry of the Universe: From Particles to Galaxies. with Anna-Laura Sattelberger. Notices of the American Mathematical Society 72, no. 8 (2025). DOI: https://doi.org/10.1090/noti3220
- Algebraic Approaches to Cosmological Integrals. with Guilherme L. Pimentel, Anna-Laura Sattelberger, and Tom Westerdijk. Le Matematiche 80, no. 1 (2025), 303–324. DOI: https://doi.org/10.4418/2025.80.1.12
- Principal Landau Determinants. with S. Mizera and S. Telen. Computer Physics Communications 303 (2024), 109278. DOI: https://doi.org/10.1016/j.cpc.2024.109278
- Vector Spaces of Generalized Euler Integrals. with D. Agostini, A.-L. Sattelberger, and S. Telen. Communications in Number Theory and Physics 18, no. 2 (2024), 327–370. DOI: https://doi.org/10.4310/CNTP.2024.v18.n2.a2
- Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals. with S. Mizera and S. Telen. Physical Review Letters 132 (2024), 101601. DOI: https://doi.org/10.1103/PhysRevLett.132.101601
- Hirota Varieties and Rational Nodal Curves. with Y. Mandelshtam. Journal of Symbolic Computation 120 (2024), 102239. DOI: https://doi.org/10.1016/j.jsc.2023.102239
- The Enumerative Geometry of Cubic Hypersurfaces: Point and Line Conditions. with M. Belotti, A. Danelon, and A. Kretschmer. Collectanea Mathematica 75 (2024), 593–627. DOI: https://doi.org/10.1007/s13348-023-00401-z
- Likelihood Degenerations. with D. Agostini, T. Brysiewicz, L. Kühne, B. Sturmfels, and S. Telen. Advances in Mathematics 414 (2023), 108863. DOI: https://doi.org/10.1016/j.aim.2023.108863
- KP Solitons from Tropical Limits. with D. Agostini, Y. Mandelshtam, and B. Sturmfels. Journal of Symbolic Computation 114 (2023), 282–301. DOI: https://doi.org/10.1016/j.jsc.2022.04.009
- Tangent Quadrics in Real 3-Space. with T. Brysiewicz and B. Sturmfels. Le Matematiche 76 (2021), 355–367. DOI: https://doi.org/10.4418/2021.76.2.4
- Pencils of Quadrics: Old and New. with Y. Mandelshtam and B. Sturmfels. Le Matematiche 76 (2021), 319–335. DOI: https://doi.org/10.4418/2021.76.2.2
Preprints
- Tropical KP Theory on Banana Curves. with Simonetta Abenda, Türkü Özlüm Çelik, and Yelena Mandelshtam. arXiv:2512.13366. arXiv DOI: https://doi.org/10.48550/arXiv.2512.13366
