About James
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.
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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
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
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