The Global Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. James's work contributes towards the following SDG(s):
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