Biography

I am a PhD candidate in Mathematical Physics in the research group of Prof. Marcos Mariño at the University of Geneva, Switzerland, funded by the ERC Synergy Grant ReNewQuantum and affiliated with the National Centre of Competence in Research SwissMAP. I plan to complete my doctoral studies in Summer 2024.

I am a member of the Scientific Council of the International Conference Centre SwissMAP Research Station in Les Diablerets, Switzerland, since September 2020.

I am interested in the many facets of theoretical high-energy physics – particularly the mathematical structures and dualities arising in quantum field theory and string theory. My most recent work focuses on the non-perturbative aspects of topological string theory and complex Chern–Simons theory and the interplay of resurgence, strong-weak duality, and modularity.

Other topics of interest are number-theoretic properties of Calabi–Yau manifolds, algebraic and geometric structures in scattering amplitudes, effective field theory techniques, and model-building and physics probes beyond the Standard Model.

Here are my CV and a list of attended events.

Education

  • PhD in Mathematical Physics

    University of Geneva (in progress)

  • MSc in Mathematical and Theoretical Physics

    University of Oxford (2019)

  • BSc in Physics

    Sapienza University of Rome (2018)

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

Oct 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. Attended courses on Random Matrix Theory.
 
 
 
 
 

Business Consulting Internship

Pangea Formazione

Jul 2019 – Aug 2019 Rome, Italy
Contributed to a Deep Learning predictive model for 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).

Talks

Resurgence and Calabi-Yau geometries

The theory of resurgence provides powerful tools to access the non-perturbative sectors of the factorially divergent asymptotic series …

Strong-weak duality and quantum modularity of resurgent topological strings

Quantizing the mirror curve of a toric Calabi-Yau threefold gives rise to quantum-mechanical operators. Their fermionic spectral traces …

Strong-weak duality and quantum modularity of resurgent topological strings

Quantizing the mirror curve of a toric Calabi-Yau threefold gives rise to quantum-mechanical operators. Their fermionic spectral traces …

Resurgence, Stokes constants, and arithmetic functions in topological string theory

The quantization of the mirror curve to a toric Calabi-Yau threefold gives rise to quantum-mechanical operators. Their fermionic …

Resurgence, Stokes constants, and arithmetic functions in topological string theory

The quantization of the mirror curve to a toric Calabi-Yau threefold gives rise to quantum-mechanical operators. Their fermionic …

Publications

On the structure of wave functions in complex Chern-Simons theory

We study the structure of wave functions in complex Chern-Simons theory on the complement of a hyperbolic knot, emphasizing the …

Resurgence, Stokes constants, and arithmetic functions in topological string theory

The quantization of the mirror curve to a toric Calabi–Yau three-fold gives rise to quantum-mechanical operators, whose fermionic …

Searching for muonphilic dark sectors with proton beams

Proton beam-dump experiments are a high-intensity source of secondary muons and provide an opportunity to probe muon-specific dark …

An introduction to motivic Feynman integrals

This article gives a short step-by-step introduction to the representation of parametric Feynman integrals in scalar perturbative …

Contact

  • claudia.rella@unige.ch
  • C/O Département de Physique Théorique, Université de Genève, Quai Ernest Ansermet 24, 1205 Genève, Switzerland