Curriculum Vitae

Personal information

Veronica FANTINI

email: fantini@ihes.fr

website:https://sites.google.com/view/vfantini/home-page

Nationality: Italian

Languages: Italian (mother tongue), English (fluent), and French (fluent).

Current Position

1st October 2024 - present: postdoc FMJH at Laboratoire Mathematique Orsay (LMO), Orsay, (France)

Past Position

1st September 2024 - 31st Octobre 2024: Visiting researcher at IHÉS, Bures-sur-Yvettes, (France)

1st September 2021 - 31st August 2024: Postdoc at IHÉS, Bures-sur-Yvettes, (France), supported by ERC ReNEw Quantum (Recursive and Exact Quantum Theory)

23rd October 2020 - 31st August 2021: Visiting researcher at IHÉS, Bures-sur-Yvettes, (France)

Education

2016-2020 PhD in geometry and mathematical physics at SISSA (Trieste), under the supervision of professor Jacopo Stoppa.

2014-2016 Master degree in Mathematics at Univeristà La Sapienza di Roma, 110/110 magna cum laude.

2011-2014 Bachelor degree in Mathematics at Università La Sapienza di Roma, 110/110 magna cum laude.

List of Publications and Preprints

1. Deformations of holomorphic pairs and 2d-4d wall-crossing, Adv. Theor. Math. Phys., Vol. 26, No. 6 (2022), pp. 1705-1769, arXiv:1912.09956.

2. The extended tropical vertex group, PhD thesis, arXiv:2012.05069.

3. Scattering diagrams in mirror symmetry, Boll Unione Mat Ital., (2023), arXiv:2302.13120.

4. Regular singular Volterra equations on complex domains, with A. Fenyes, SIAM Journal on Mathematical Analysis, 57(1):336–363, 2025, arXiv:2309.00603.

5. Effective-one-body waveform model for non-circularized, planar, coalescing black hole binaries: the importance of radiation reaction, with A. Nagar, R. Gamba, P. Rettegno, and S. Bernuzzi, Phys. Rev. D 110, 084001, (2024).

6. Strong-weak symmetry and quantum modularity of resurgent topological strings on local P2, with C. Rella, Commun. Num. Theor. Phys. , Vol. 19, No. 1 (2025), pp. 1-73, arXiv:2404.10695.

7. Effective-one-body waveform model for noncircularized, planar, coalescing black hole binaries II: high accuracy by improving logarithmic terms in resummations, with A. Nagar, D. Chiaramello, R. Gamba, S. Albanesi, S. Bernuzzi, M. Panzeri, P. Rettegno, Phys. Rev. D. 111, 064050, (2025).

8. Modular resurgent structures, arXiv:2404.11550, with C. Rella, submitted.

9. The regularity of ODEs and thimble integrals with respect to Borel summation, arXiv:2407.01412, with A. Fenyes, submitted.

10. Summability for State Integrals of hyperbolic knots, arXiv:2401.20973, with C. Wheeler, submitted.

11. Resurgence, Habiro elements and strange identities, with S. Crew, A. Goswami, R. Osburn and C. Wheeler, Commun. Num. Theor. Phys., Vol. 19, No. 2 (2025), pp. 289-317, arXiv:2304.07001.

12. Modular resurgence, q-Pochhammer symbols, and quantum operators from mirror curves, arXiv:2506.08265, with C. Rella.

Invited research talks and poster sessions

2025: Modular resurgence - Mathematical physics seminar, Nagoya University, June

2025: Modular resurgence - Integrable systems seminar, Tokyo University, June

2025: Resurgence of fermionic traces in toric Calabi-Yau threefolds - Workshop on Painlevé equations, higher Teichmüller theory and quantization, Universitat Politècnica de Catalunya, March

2025: Modular resurgent series - Algebra and number theory seminar, UCD, Dublin, January

2025: Summability for state integrals of hyperbolic knots - Workshop on Resurgence, wall-crossing and geometry, Les Diablerets, Switzerland, January

2024: Classical and new perspectives of the theory of resurgence - Séminaire d'Analyse Harmonique, LMO, Université Paris Saclay, December

2024: Borel regularity for ODEs - Séminaire de physique mathématique, Lyon, November

2024: Summability for state integrals of hyperbolic knots - Seminario di fisica matematica, Università di Torino, November

2024: A journey in resurgence and summability - Seminario di fisica matematica, Università di Torino, November

2024: L-functions from fermionic traces of local P2 - Online talk at the Geometry, Arithmetic and Differential Equations of Periods (GADEPs), November

2024: Strong-weak symmetry and resurgent fermionic traces of local P2 - Duality, Geometry and Physics, EPFL, Lausanne, September

2024: Strong-weak resurgent symmetry and the beauty of L functions - Contributed talk, Eurostring 2024, Southampton, September

2024: Resurgence and modularity for fermionc spectral traces of local P2 - New Aspects in Topological Recursion, Resurgence and Related Topics, RIMS, Kyoto, July

2024: Modular resurgent structures and spectral traces of local P2 - Contributed talk, String Math 2024, ICTP, Trieste, June

2024: Wall-crossing formulas and Maurer--Cartan equation - Web-seminar on Painleve Equations and related topics, June

2024: Strong-Weak duality and resurgent topological strings - Physics seminar, INFN Turin, Mai

2024: Modular resurgent structures of fermionic spectral traces of local P2- Workshop Resurgence and Modularity in QFT and String Theory, Galileo Galilei Institute (Florence), Mai

2024: Résurgence et EDO singulières irrégulières - Séminaire de Géométrie analytique, Université de Rennes, April

2024: Resurgence and Irregular singular ODEs - Séminaire de Équations différentielles motiviques et au–delà, IHP, April

2024: Résolution d'équations de Volterra avec des singularités régulières - Séminaire de Mathématique-Physique, Université de Bourgogne, Dijon, March

2024: Invariants de Stokes en P2 local et modularité - Séminaire de géométrie énumérative, Jussieu, March

2024: Introduction to Resurgence - Seminars on Resurgence and Quantum Modularity, IHES, February

2024: Solving regular singular Volterra equations - Integrable system seminar, SISSA, Trieste, January

2024: A bit of resurgence - Analysis seminar, Università Statale di Milano, January

2023: Stokes invariants for local P2 and modularity - Journées thématiques de Cergy-Pointoise: Moduli spaces of vector bundles and curves, Cergy-Pointoise, December

2023: The effectiveness of Borel-Laplace summability for Lefschetz thimble integrals - Geometry, Symmetry and Physics seminar, Yale University, October

2023: Quantum modularity from resurgence of the spectral trace of local P2 - Mathematical Physics seminar, Geneva University, October

2023: Resurgent structure and quantum modularity - 29th Nordic Congress of Mathematicians, Aalborg, July

2023: q-series, resurgence and modularity - IHES, June

2022: Resurgence and Borel regularity for ODEs - Birmingham University, December

2022: Wall-Crossing structures in mirror symmetry - Dublin Mathematics Colloquium, Trinity College Dublin, November

2022: Resurgence and Borel regularity for ODEs - Mathematical Physics retreat, Matamzee, Hiddensee, October

2022: 2d-4d Wall-Crossing and deformation of holomorphic pairs - BPS states, mirror symmetry and exact WKB II, University of Sheffiled, September

2022: Infinitesimal deformations and the extended tropical vertex group - First UMI meeting of PhD students, Padova, May

2022: Borel regularity and resurgence for exponential integrals - Internal seminar ERC ReNewQuantum (online), May

2022: Resurgence of the Airy function: a journey from analysis to geometry - SISSA Colloquium, SISSA women in mathematics (online), May

2022: Enumerative geometry in the Extended tropical vertex group - Nottingham algebraic geometry seminars (online), May

2021: On the reconstructing problem in mirror symmetry - Geometry seminars, SISSA, Trieste, June

2021: Diagrammi di scattering tra deformazioni infinitesime e invarianti di Gromov--Witten - Seminario di geometria, Università La Statale, Milano, May

2021: Deformations of holomorphic pairs and scattering diagrams - poster at the LMS Women in Mathematics Day 2021 (University of Plymouth), March

2021: The extended tropical vertex group - AMS Spring Eastern Sectional Meeting (formerly at Brown University), March

2021: Scattering diagrams and deformations of holomorphic pairs - Yale University, March

2021: Scattering diagrams in the tropical vertex - Geometry and Topology seminars at Imperial College, London, February

2019: What are Higgs Bundles - Junior Geometry Seminars at Imperial College, London, 08 February

2018: Maurer-Cartan equation and scattering diagrams: the work of Chan, Leung and Ma and possible extensions - poster at the Conference D-modules, Quantum Geometry and related topics, RIMS, Kyoto, December

2018: Conformal Limit for Higgs Bundles - poster at the Conference VBAC, Gauge theory and complex geometry, CIRM, Luminy, June

Some Conferences and Workshops attended

2025 · Workshop on Painlevé equations, higher Teichmüller theory and quantization, Universitat Politècnica de Catalunya, Spain, 18th-21st March

2025 · Workshop on Resurgence, wall-crossing and geometry, Les Diablerets, Switzerland, 12th-17th January

2024 · Duality, Geometry and Physics, EPFL, Lausanne, 24th-27th September

2024 · Eurostring 2024, Southampton, 2nd-6th September

2024 · Topologically recursive behaviors, Les Diablerets, Switzerland, 26th-30th August

2024 · New aspects in topological recursion, resurgence and related topics , RIMS Kyoto University, 8th-12th July

2024 · Contemporary trends in integrable systems, Faculty of Science of the University of Lisbon (FCUL), Lisbon, 1st-5th July

2024 · BPS Dynamics and Quantum Mathematics, Galileo Galilei Institute, 17th-21th June

2024 · StringMath 2024, ICTP, Trieste, 10th-14th June

2024 · Resurgence and Modularity in QFT and String Theory, Galileo Galilei Institute, 6th-10th Mai

2023 · Quantisation of moduli spaces from different perspectives, Les Diablerets, Switzerland, 24th-29th Oct 2023

2023 · 29th Nordic Congress of Mathematicians, Aalborg, 3rd-7th Jul 2023

2023 · Mini school Wall-crossing structures, analyticity, and resurgence, IHES, Jun 2023

2022 · BPS states, mirror symmetry and exact WKB II, University of Sheffiled, Sept 2022

2022 · Internal meeting ERC ReNewQuantum, (SDU, Denmark), 22nd -26th Aug 2022

2021 · LMS Women in Mathematics Day 2021, (University of Plymouth), 24th Mar 2021

2021 · AMS Spring Eastern Sectional Meeting (formerly at Brown University), 20th - 21st Mar 2021

2021 · Virtual Workshop "Donaldson-Thomas Invariants and Resurgence", 11th–15th Jan 2021

2020 · 3CinG2020, online workshop, 16th -18th Sept 2020

2019 · Mirror Symmetry and Cluster Algebras, Cambridge, 15th - 18th Jul 2019

2019 · Calabi-Yau and geometry, Universita La Sapienza, Roma, 29th June -1st Jul 2019

2019 · Workshop on Mirror Symmetry and Stability, Harvard University, Boston, 18th-20th Mar 2019

2018 · D-modules, Quantum Geometry and related topics, RIMS, Kyoto, 3rd-7th Dec 2018

2018 · Current trends on spectral data for Higgs bundles IV, Oxford, 17th-18th Nov 2018

2018 · Conference VBAC, Gauge Theory and Complex Geometry, CIRM, Luminy. 18th -22th Jun 2018

2017 · Summer school on Current topics in Mathematical Physics, Univeristy of Zurich, 17th -21th Jul 2017

2017 · Trieste Quantum days, SISSA, Trieste, 20th- 24th Feb 2017

2016 · Trieste Quantum days, “solid state et al“, SISSA, Trieste, 21st -23rd Jun 2016

Teaching

2025: TD analyse L1, Laboratoire Mathématique d'Orsay

2024: Mini course, "Introduction to summability and resurgence for irregular singular ODEs", from July 1st to 5th, 2024, Faculty of Science of the University of Lisbon (FCUL), in Lisbon, Link to lectures.

2023: Two lectures, "New Perspectives on Borel Summation", July 18th and 20th, 2023, at IHES, joint with A. Fenyes, Lecture 1, Lecture 4.

2018: Corsi di recupero di matematica presso il liceo scientifico A. Righi di Cesena, Italy (teaching Math to High School students)

Organized events

2025: Co-organizer of the workshop Networks in Physics and Geometry, Laboratoire Mathématique d'Orsay, website.

2025: Co-organizer with Frédéric Menous of the Journée Résurgence, Laboratoire Mathématique d'Orsay, website.

2025: Co-organizer of the Seed Annual Workshop, website.

2024: Co-organizer of the Seed Seminar, website.

2024: Co-organizer with Campbell Wheeler of the seminars Resurgence and Quantum modularity, IHES (Bures-sur-Yvette), website.

2022: Co-organizer with Alex Takeda of the Workshop on Quantum Geometry, 25th -29th April 2022, IHES (Bures-sur-Yvette), website.

2019: Co-organizer with Emanuele Caputo, Francesco Nobili and Alessandro rubin of Junior Math Days 15th- 18th December 2019, SISSA (Trieste), attended by 31 students, https://people.sissa.it/~vfantini/JMD2019/ScuolaMate.html.

2018: Co-organizer with Maicol Caponi, Emanuele Caputo, Matteo Gallone and Alessandro Rubin of Junior Math Days, SISSA (Treiste), 16th-19th December 2018, attended by 28 students, https://people.sissa.it/~vfantini/JMD2018w/ScuolaMate.html.

2018: Founder with Matteo Caorsi, and co-organizer with Maicol Caponi, Matteo Gallone of Junior Math Days, SISSA (Trieste), 7th -10th May 2018, attended by 26 students.

Other informations

2019-2020 · Member of the SISSA Colloquia Committee.

2017- 2019 · PhD student representative in the Area Council at SISSA, Trieste.

2017-2019 · Library collaborator at SISSA, Trieste.

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