Biography

I am a postdoctoral researcher in mathematical physics at the Institut des Hautes Études Scientifiques (IHES), working in the group of Prof. Maxim Kontsevich. I am supported by the Huawei Young Talents Program and am an associated member of the UNIVERSE+ collaboration.

My research focuses on the mathematical structures and dualities arising in quantum field theory and string theory and their interplay with several areas of mathematics, such as algebraic geometry, number theory, and quantum topology.

My recent work explores structural connections between resurgence, arithmetic, and quantum modularity and their applications to non-perturbative phenomena.

You can find my CV here and a list of attended events here.

Education

  • PhD in Mathematical Physics

    University of Geneva (2024)

  • MSc in Mathematical and Theoretical Physics

    University of Oxford (2019)

  • BSc in Physics

    Sapienza University of Rome (2018)

Publications

Mini-Workshop: Resurgence, Difference Equations and Quantum Modularity

The resurgent analysis of asymptotic series has found diverse applications and led to profound insights into our understanding of …
DOI

Modular resurgence, $q$-Pochhammer symbols, and quantum operators from mirror curves

Building on the results of arXiv:2404.11550 and arXiv:2404.10695, we study the resurgence of $q$-Pochhammer symbols and determine their …
DOI arXiv

On the arithmetic of resurgent topological strings

Quantizing the mirror curve to a toric Calabi-Yau threefold gives rise to quantum operators whose fermionic spectral traces produce …
DOI

Modular resurgent structures

The theory of resurgence uniquely associates a factorially divergent formal power series with a collection of non-perturbative, …
arXiv

Strong-weak symmetry and quantum modularity of resurgent topological strings on local $ℙ^2$

Quantizing the mirror curve to a toric Calabi-Yau threefold gives rise to quantum operators whose fermionic spectral traces produce …
DOI arXiv
See all publications

Talks

Resurgence and arithmetic of non-perturbative effects
Mar 25, 2026 09:15 Erwin Schrödinger International Institute for Mathematics and Physics (ESI), University of Vienna, Austria
Resurgent symmetry of quantum mirror curves
Nov 18, 2025 16:00 University of Southampton, UK
Quantum modularity and arithmetic of q-series: lessons from resurgence
Oct 30, 2025 09:00 Mathematisches Forschungsinstitut Oberwolfach (MFO), Germany
Quantum modularity and arithmetic of q-series: lessons from resurgence
Aug 20, 2025 11:30 Centre for Quantum Mathematics, University of Southern Denmark (SDU), Odense, Denmark
Resurgence and arithmetic of q-series: from quantum operators to quantum modular forms
May 27, 2025 16:00 Mathematical Institute, University of Oxford, UK
See all talks

Experience

 
 
 
 
 

Research Internship in High Energy Physics Phenomenology

CERN

Jul 2020 – Sep 2020 Geneva, Switzerland
Contributed to the design of an experimental framework for detecting muon-specific light Dark Sector particles produced via muons bremsstrahlung in proton beam-dump experiments. Implemented a simulation of the proposed scenario exploiting the secondary muon flux from the proton beam dump. Predicted the sensitivity reach in the parameter space of the exotics for the experiment NA62 in beam-dump mode and the proposed experiment SHiP using programming language C++, data analysis software ROOT, and simulation software MadGraph5_aMC@NLO. Supervised by Dr Babette Döbrich (CERN).
 
 
 
 
 

Master Class in Mathematical Physics

University of Geneva and NCCR SwissMAP

Sep 2019 – Jun 2020 Geneva, Switzerland
Collaborated with Prof Francis Brown (University of Oxford) on the application of motivic Galois theory to the study of Feynman integrals in perturbative QFT, specifically investigating the motivic Galois coaction and factorisation theorems for scalar Feynman graphs with non-generic kinematics. Collaborated with Prof Francesco Riva (University of Geneva) on EFT constraints arising from fundamental assumptions of UV consistency, specifically investigating the restrictions placed by (beyond-)positivity bounds on (beyond-)Horndeski theories of modified gravity.
 
 
 
 
 

Business Consulting Internship

Pangea Formazione

Jul 2019 – Aug 2019 Rome, Italy
Contributed to a Deep Learning predictive model for the preventative maintenance of large infrastructures equipped with alarm nets. Project implemented using Bayesian Neural Networks and programming language R and customized to fit the specific needs of the commissioning telecom company. Pangea Formazione is a Big Data Analytics and AI company providing customised software for management consulting and training.
 
 
 
 
 

Research Internship in Experimental Particle Physics

PADME @ INFN – LNF

Sep 2017 – Nov 2017 Frascati, Italy
Contributed to the development of a Monte Carlo optical simulation of the Small-Angle Calorimeter of PADME’s detector using simulation software Geant4 and programming language C++. Characterised the performance of a single PbF2 crystal attached to a Hamamatsu R13478UV photomultiplier tube with focus on time and energy resolutions using data analysis software ROOT. PADME (Positron Annihilation into Dark Matter Experiment) is a positron-on-target collision experiment searching for dark photon production at high intensity at the DAFNE Beam Test Facility. Supervised by Prof Mauro Raggi (Sapienza University of Rome).

Contact

  • rella@ihes.fr
  • IHES, 35 route de Chartres, 91440 Bures-sur-Yvette, France