• 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.

• 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

• 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")

• 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

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

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