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Overview

Profile summary

Research interests:
  • Quantum Field Theory - The "Worldline Formalism" of QFT
  • QFT in electromagnetic and gravitational backgrounds - Strong Field QED
  • Non-perturbative aspects of QFT - especially its gauge structure
  • Numerical (Monte-Carlo) simulations of field theory processes
  • New analytic and numerical methods in path integration.
Prior appointments:
  • 2018-2022: Assistant Professor ("Profesor Titular A") - Instituto de Física y Matemáticas 
    Universidad Michoacana de San Nicolás de Hidalgo
  • 2016-2018: Postdoctoral Fellow ("Becario") - CONACyT 
    Instituto de Física y Matemáticas 
    Universidad Michoacana de San Nicolás de Hidalgo 
  • 2015-2016: Researcher and Teaching Fellow
    Mathematical Sciences
    University of Bath

Professional memberships

  • FHEA - Fellow of the Higher Education Academy (now Advance HE)
  • MInstP - Member of the Institute of Physics
  • Individual Member of the sigma Network
  • Member of Red-FAE (Mexican Network in High Energy Physics)
  • Member of SMF (Mexican Physics Society) in the Division for Particles and Field ("DPyC")

Roles on external bodies

  • Member of the LUXE (Laser und XFEL Experiment) collaboration (see collaborating institutes)
  • Member of the PIF (Physics in Intense Fieds) international steering committee
  • Visiting Associate Professor - University of Warwick

Supervised research degrees

2022: Ivan Ahumada - M.Sci. Worldline Monte Carlo - approaching the problem of oversampling

2022: Luis Chacon - M.Sci. Light by light scattering at one-loop order in scalar QED

2021: Alejandro Mora - M.Sci. Photon scattering: gauge invariant amplitudes

2020: Jose Nicasio - M.Sci.Generalisation of the LKF transformations in the worldline formalism

2019: Cesar Mata - M.Sci, Multi-photon amplitudes

2019: Isai Farias - M.Sci. Effective action for an arbitrary Maxwell field interacting with a quantum field

2019: Carlos Servin - M.Sci. A spin-orbit decomposition for photon amplitudes

2017: Maria Anabel Trejo - Ph.D. Bound states in the worldline formalism

2016: Matt Griffith - M.Sci. Planetary motion in Einstein's theory of general relativity

Teaching interests

Current courses:

  • 23/24: Engineering Mathematics (ENGR104) - University of Plymouth
  • 23/24: Differential Equations (MATH2704) - University of Plymouth
  • 23/24: Complex Analysis (MATH2706) - University of Plymouth
  • 23/24: Path integrals in quantum mechanics - University of Modena

Previous courses:

  • 22/23: Ordinary Differential Equations (MATH2603) - University of Plymouth
  • 22/23: Foundation Physics (PHYS050) - University of Plymouth
  • 22/23: Engineering Mathematics (ENGR104 / MATH190) - University of Plymouth
  • 22/23: Real and Complex Analysis (MATH2604) - University of Plymouth
  • 21/22: Ordinary Differential Equations (MATH2603) - University of Plymouth
  • 2022: Advanced Aspects of Quantum Field Theory - Universidad Michoacana
  • 2020-2021: Worldline Formalism of Quantum Field Theory -  Universidad Michoacana 
  • 2020: Quantum Field Theory II - Universidad Michoacana
  • 2020: Introduction to Quantum Field Theory -  Universidad Michoacana 
  • 2020-2021: Mathematical Methods -  Universidad Michoacana 
  • 2019: String Theory and Amplitudes -  Universidad Michoacana 
  • 2018-2019: Quantum Mechanics I -  Universidad Michoacana 
  • 2018: Lie Group Theory for Physicists -  Universidad Michoacana 
  • 2017: Thermodynamics -  Universidad Michoacana 
  • 2017: Applications of the worldline formalism in quantum field theory -  Universidad Michoacana 
  • 2015-2016: Mathematical Methods - University of Bath
  • 2015-2016: Mathematical Analysis II - University of Bath
  • 2015: Calculus for Engineers - University of Bath

Awards and recognition for teaching:

  • 2016: Departmental Teaching Recognition Award - University of Bath
  • 2015: Best student employee of the Year - Mathlab mathematics drop-in - Durham University
  • 2015: Outstanding Support Award - Durham University

Students graduated under my supervision:

  • 2022: Ivan Ahumada - M.Sci. Worldline Monte Carlo - approaching the problem of oversamplingNow Ph.D. University of Plymouth
  • 2022: Luis Chacon - M.Sci. Light by light scattering at one-loop order in scalar QED
    Now Ph.D. University of Cyprus
  • 2021: Alejandro Mora - M.Sci. Photon scattering: gauge invariant amplitudes
    Now Ph.D. UNAM
  • 2020: Jose Nicasio - M.Sci.Generalisation of the LKF transformations in the worldline formalism
    Now Ph.D. Universidad Michoacana 
  • 2019: Cesar Mata - M.Sci, Multi-photon amplitudes
    Now Ph.D. Universidad Michoacana 
  • 2019: Isai Farias - M.Sci. Effective action for an arbitrary Maxwell field interacting with a quantum field
  • 2019: Carlos Servin - M.Sci. A spin-orbit decomposition for photon amplitudes
  • 2017: Maria Anabel Trejo - Ph.D. Bound states in the worldline formalism
    Now Postdoc Helmholtz-Zentrum Dresden-Rossendorf 
  • 2016: Matt Griffith - M.Sci. Planetary motion in Einstein's theory of general relativity
    Now Postdoc University of Bath

External positions

Visiting Associate Professor, University of Warwick

1 Nov 2024 → …

Expertise related to UN Sustainable Development Goals

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    SDG 4 Quality Education
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    SDG 7 Affordable and Clean Energy

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