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.

In recent years, I have explored structural connections between resurgence, arithmetic, and quantum modularity and their applications to non-perturbative phenomena in quantum physics and quantum topology, resulting in the still-evolving research programme of modular resurgence.

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

Modular resurgent structures for vectors

Building on prior results arXiv:2404.11550, we introduce vector-valued modular resurgent series, whose components exhibit a single …

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 …

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 …

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 …

Modular resurgent structures

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

Talks

Resurgence and arithmetic of non-perturbative effects
Resurgent symmetry of quantum mirror curves
Quantum modularity and arithmetic of q-series: lessons from resurgence
Quantum modularity and arithmetic of q-series: lessons from resurgence
Resurgence and arithmetic of q-series: from quantum operators to quantum modular forms

Experience

 
 
 
 
 

Huawei Young Talent Postdoctoral Fellowship in Mathematics

Institut des Hautes Études Scientifiques (IHES)

Oct 2024 – Present Bures-sur-Yvette, France
 
 
 
 
 

Research Internship in High Energy Physics Phenomenology

CERN

Jul 2020 – Sep 2020 Geneva, Switzerland
 
 
 
 
 

Master Class in Mathematical Physics

University of Geneva and NCCR SwissMAP

Sep 2019 – Jun 2020 Geneva, Switzerland
 
 
 
 
 

Research Internship in Experimental Particle Physics

PADME @ INFN – LNF

Sep 2017 – Nov 2017 Frascati, Italy

Contact

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