PhD Student

I am third year PhD student at Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig. I am studying algebraic geometry under the supervision of Daniele Agostini and Bernd Sturmfels.

I am broadly interested in combinatorics, real algebraic geometry, and nonlinear algebra. My current research focuses on algebro-geometric questions in particle physics and integrable systems.I am a maintainer of the repository MathRepo. If you want to know more about MathRepo, check this out!

A detailed copy of my CV is available on request.

2020-current: **Ph.D. studies in Mathematics**

Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

2017-2020: **M.Sc. in Mathematics**

Università degli Studi di Napoli "Federico II", Italy

Master Thesis: *Even Sets of Eight Rational Curves on a K3-surface*

Advisors: Davide Franco
and Marco Ramponi

Spring 2019: **Erasmus+ Exchange Programme**

University of Augsburg, Germany

2013-2017: **B.Sc. in Mathematics**

Università degli Studi della Campania "Luigi Vanvitelli", Italy

2013-2017: **Erasmus+ Exchange Programme**

University of Lisbon, Portugal

8. **Vector Spaces of Generalized Euler Integrals** (2022). Daniele Agostini, Claudia Fevola, Anna-Laura Sattelberger, and Simon Telen.
ArXiv:2208.08967. Auxiliary code

7. **The Hirota Variety of a Rational Nodal Curve** (2022). Claudia Fevola and Yelena Mandelshtam.
ArXiv:2203.00203. Presented at MEGA 2022, Kraków. Submitted to * Journal of Symbolic Computation. * Auxiliary code

6. **The Mathematical Research-Data Repository MathRepo** (2022). Claudia Fevola and Christiane Görgen.
ArXiv:2202.04022. *Der Computeralgebra-Rundbrief* Nr. 70, March 2022.

5. **The Enumerative Geometry of Cubic Hypersurfaces: Point and Line Conditions** (2022). Alessandro Danelon, Mara Belotti, Claudia Fevola, and Andreas Kretschmer.
ArXiv:2201.05424. Submitted to * Collectanea Mathematica. * Auxiliary code.

4. **Likelihood Degenerations** (2023). Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels, and Simon Telen.
ArXiv:2107.10518. * Advances in Mathematics* **414** 108863. Auxiliary code.

3. **KP Solitons from Tropical Limits** (2023). Daniele Agostini, Claudia Fevola, Yelena Mandelshtam, and Bernd Sturmfels.
ArXiv:2101.10392. Presented at MEGA 2021, Tromsø. *Journal of Symbolic Computation* **114** 282-301. Auxiliary MAPLE code

2. **Tangent Quadrics in Real 3-Space** (2021). Taylor Brysiewicz, Claudia Fevola, and Bernd Sturmfels.
ArXiv:2010.10879. * Le Matematiche * **76** 355-367.

1. **Pencils of Quadrics: Old and New** (2021). Claudia Fevola, Yelena Mandelshtam, and Bernd Sturmfels.
ArXiv:2009.04334. * Le Matematiche* **76** 319-335.

Reading Seminar - Feynman Integrals and Moduli Spaces, Online WS 2022-2023

Latin American Geometria Algebraica Real y TrOpical Seminar, Online - March 24, 2023

Regional Workshop in Algebraic Geometry, University of Jena - March 29-31, 2023

SIAM Conference on Applied Algebraic Geometry (AG23), Eindhoven University of Technology - July 10-14, 2023

Algebraic Geometry in Spectral Theory, ICERM, Providence - February 24-26, 2023

String Amplitudes at Finite α′, IAS, Princeton - February 16-17, 2023

Novel Developments in Scattering Amplitudes, MIAPP, Munich - July 18-29, 2022

North German Algebraic Geometry Seminar, Leibniz University, Hannover - May 13, 2022

Graph Complexes and Quantum Field Theory, Humbold University, Berlin - March 28 - April 1, 2022

Foundations of algebraic geometry, MPI MiS Leipzig - Held by Daniele Agostini - SS-WS 2021

Introduction to Toric Geometry, MPI MiS Leipzig - Held by Simon Telen - WS 2021

Research Encounters in Algebraic and Combinatorial Topics - February 15 - March 5, 2021

Riemann Surfaces and Algebraic Curves - Held by Daniele Agostini & Rainer Sinn - WS 2020/2021

Twelve Lectures on Tropical Geometry - September 2020. Here are some HQ recordings of the lectures

Warwick Macaulay 2 Workshop - June 2020

Oberseminar Kombinatorische Algebraische Geometrie Tübingen, University of Tübingen - February 1, 2023

Seminar Algebra and Combinatorics, University of Leipzig - December 1, 2022

The Joint MATHEXP-POLSYS Seminar, Sorbonne University, Paris, Jussieu + online - November 25, 2022

Kolchin Seminar in Differential Algebra, Online - September 30, 2022. Video

Tropical and Convex Geometry and Feynman integrals, Institute for Theoretical Studies, ETH Zürich - September 5-9, 2022

Workshop on Nonlinear Algebra and Combinatorics from Physics, CMSA Harvard University - April 27–29, 2022

Brown Combinatorics Seminar: Combinatorics and Nonlinear Algebra Day at Brown, Brown University - April 26, 2022

Leipzig Lectures on Theta - Replacement, MPI MiS Leipzig - March 15-17, 2022

Feynman integrals and nonlinear algebra, MPI MiS Leipzig - March 10-11, 2022

Mini-Workshop: Scattering Amplitudes, Cluster Algebras, and Positive Geometries (hybrid meeting), Oberwolfach - December 5-11, 2021

Women in Algebra and Symbolic Computations II, December 1, 2021

Workshop Non-Archimedean and Tropical Geometry. December 10, 2021. Video

Mini-Workshop on Curves and Riemann Surfaces, MPI MiS Leipzig - November 25, 2021

Seminar on Nonlinear Algebra, MPI MiS Leipzig - October 7, 2021

Mini-symposium on "Algebraic Approaches to MLE" at SIAM Conference on Applied Algebraic Geometry, Texas A&M University - August 2021. August 19, 2021Ghent Junior Algebra and Geometry Seminar. June 21, 2021

MEGA - Effective Methods in Algebraic Geometry. June 11, 2021 Video

Graduate Inter-university Math Seminar. May 21, 2021. Video

SFU Number Theory and Algebraic Geometry Seminar (SFU - NTAG). March 11, 2021.

Email: claudia.fevola 'at' mis.mpg.de

Address: Max Planck Institute for Mathematics in the Sciences

Inselstraße 22

04103 Leipzig, Germany

Office: F3 06