Giovanny Andres JARAMILLO PUENTES

Fixed-term Assistant Professor (RTDB) of Geometry [MATH-02/B]

Following their studies in Paris, they earned their Doctor of Philosophy degree at the Institut de Mathématiques de Jussieu – Paris Rive Gauche of Sorbonne Université under the supervision of Ilia Itenberg. Their doctoral research addressed a modern instance of Hilbert’s 16th problem, culminating in a complete classification of the main strata of the moduli space of real rational plane quintics.

They subsequently held a series of postdoctoral positions across Europe and Israel. At Tel Aviv University, under the supervision of Eugenii Shustin, they worked in real singularity theory, where they classified morsifications of trigonal quasihomogeneous singularities, obtaining a complete classification for a non-mild family. They then moved to the Université de Nantes (Laboratoire de Mathématiques Jean Leray), working with Erwan Brugallé on polynomial properties of refined tropical invariants. This was followed by a European Research Council postdoctoral fellowship at Universität Duisburg-Essen under Marc Levine, focusing on the development of tropical methods in A¹-enumerative geometry. They later held a research position at the Università degli Studi di Napoli Federico II with Roberto Pirisi, working on cohomological invariants, and most recently were a postdoctoral fellow funded by the German Research Foundation at Universität Tübingen, collaborating with Hannah Markwig on A¹-enumerative tropical geometry.

They are currently an assistant professor (RTDb) at the Dipartimento di Matematica e Informatica of the Università di Catania. Their research lies at the intersection of A¹-enumerative geometry, real algebraic geometry, and tropical geometry. Their current work focuses on the use of tropical methods in A¹-homotopy theory, including the computation of motivic Gromov–Witten invariants, as well as the study of cohomological invariants and related enumerative problems.

Education

  • Sorbonne Université. Diplôme de Docteur 2017. 
  • Université Pierre et Marie Curie, Sorbonne Université. Master Mathématiques fondamentales 2013.
  • Universidad de los Andes, Bogotá, Colombia. Maestría en Matemáticas 2012.
  • Universidad Nacional de Colombia, Matematico 20210.


Employment

  • Università degli Studi di Catania, Researcher 2025 - 
  • Eberhard Karl Universität Tübingen, 2024 - 2025
  • Università degli Studi di Napoli Federico II, 2023 - 2024
  • Universität Duisburg-Essen, 2020 - 2023.
  • Université de Nantes, 2018 - 2020.
  • Tel Aviv University, 2017 - 2018.

Articles

A Quadratically Enriched Correspondence Theorem. Journal of the European Mathematical Society (2025), published online first. Joint with Sabrina Pauli.

Quadratically Enriched Tropical Intersections. Journal für die reine und angewandte Mathematik (Crelles Journal), 2025. Joint with Sabrina Pauli.

Arithmetic counts of tropical plane curves and their properties. Advances in Geometry, 24(4):553–576, 2024. Joint with Hannah Markwig, Sabrina Pauli, and Felix Röhrle.

Polynomiality properties of tropical refined invariants. Combinatorial Theory 2(2)(2022). Joint with Erwan Brugallé.

Rigid isotopy classification of generic rational curves of degree 5 in the real projective plane. Geometriae Dedicata 211, 1–70 (2021).

Generic pointed quartic curves in ℝℙ2 and uninodal dessins. Mathematische Zeitschrift. 299, 2483–2517 (2021).

Uniformización de curvas algebraicas reales. Lecturas Matemáticas Vol 33 [2] (2012). 107-131.

 

Preprints

Tropical Methods for Counting Plane Curves -- Complex, Real and Quadratically Enriched. arXiv:2601.14216. Joint with Hannah Markwig, Sabrina Pauli, Felix Röhrle.

Cohomology classes on moduli of curves from Theta Characteristics. arXiv:2502.21305. Joint with Roberto Pirisi.

Quadratically Enriched Plane Curve Counting via Tropical Geometry. arXiv:2502.02569, Oberwolfach Preprints. Joint with Hannah Markwig, Sabrina Pauli, and Felix Röhrle.

A Wall Crossing Formula for Motivic Enumerative Invariants arXiv:2403.17681

Trigonal Morsifications on Hirzebruch Surfaces with an appendix by E. Shustin. arXiv:1810.02206.

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