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Academic Experience

Skills & Techniques

Teaching

## Academic Experience

- Successfully published in a variety of journals on a number of subjects, see my publications.
- Worked in collaboration with both experimentalists and theorists:
- Dr G. M. Klemencic (Cardiff University)
- Dr J. M. Fellows (University of Bristol)
- Dr C. M. Muirhead (University of Birmingham)
- Dr R. A. Smith (University of Birmingham)

- Attended conferences and presented my own research
**IoP TCM group meeting**(13^{th}June 2019): presented a poster entitled,

“Fluctuation Spectroscopy in Superconducting Granular Boron-doped Diamond Films”**WE Heraeus Seminar – Superconductivity in Low Dimensional and Interacting Systems**(3^{rd}– 6^{th}June 2019): presented a poster entitled,

“Fluctuation Spectroscopy in Superconducting Granular Boron-doped Diamond Films”**IoP TCM group meeting**(7^{th}June 2018): presented a poster entitled,

“Exactness of Bohr-Sommerfeld Quantisation for Non-Central Potentials”

- Attended Physics by the lake summer school (29
^{th}July – 10^{th}August)**Topics covered**- Statistical mechanics
- Mesoscopics
- Electrons in solids
- Correlated quantum fliuds
- Strongly correlated systems
- Density functional theory (DFT)
- Topological phases of matter
- Soft condensed matter
- Quantum information processing
- Physics of biological evolution

- Internship with the University of Birmingham’s gravitational wave group (2016)
- Supervised by Professor Ilya Mandel
- Worked collaboratively with current PhD students
- Focused on analysing the final states of millions of binary star systems that were evolved from main sequence onwards
- Contributed to a publication in nature communications, see my publications

- Internship with the University of Birmingham’s theoretical physics group (2015)
- Supervised by Dr Robert Smith
- Learnt methods within supersymmetric quantum mechanics, specifically how to generate new potentials given an original, and how to find the new wavefunctions of the new potentials
- Created a GUI in MATLAB that allowed the user to play with the parameters that defined the original potential, and so altered the shape of the new potentials

Skills & Techniques

#### Mathematical Methods

Here is a list of the methods I use most commonly in my research.

- Quantum Field Theory (QFT)
- Green’s function methods
- Matsubara Green’s functions
- Diagrammatic & path integral QFT
- Perturbation theory
- Disorder distribution averaging
- Ginzburg-Landau theory
- Mean field theory
- Complex analysis
- Lagrangian and Hamiltonian mechanics
- Supersymmetric quantum mechanics
- Bohr-Sommerfeld quantisation

#### Computer Language Proficiencies

- MATLAB
- C++
- Python

#### Studies

Below is a short list of a few topics that I have studied during my time at university, and have a degree of familiarity with.

- QFT in condensed matter physics and particle physics
- Superconductivity
- Bose-Eistein condensation
- Superfluidity
- Classical and quantum phase transitions
- Physical chemistry
- Group theory
- Chaos in dynamical systems
- Relativistic and non-relativistic quantum mechanics
- Lagrangian and Hamiltonian mechanics
- General relativity
- Special relativity in mechanical and radiative systems

## Teaching

During my time as a PhD student at the University of Birmingham, I had a position as a Postgraduate Teaching Associate (PTA). As a PTA I taught 1st and 2nd year undergraduate physicists via examples/problems classes, and marked their weekly assessed problems.

#### 2^{nd} year undergraduate physics

**Lagrangian & Hamiltonian mechanics examples classes**

Helped students understand problems that required the methods underlying the principles of Lagrangian and Hamiltonian mechanics. This included,- The Euler-Lagrange equation
- The importance of symmetry
- Computing small oscillations
- Calculus of variations
- Canonical transformations

**Lagrangian & Hamiltonian mechanics marking****Eigenphysics marking**

The Eigenphysics module focused on explaining the more mathematical aspects of physics to undergraduate physicists. Topics covered included,- Linear independence and orthogonality
- Vector spaces
- Special functions
- Representations of special functions (e.g: Rodrigues formula)
- Matrix representation of operators
- Eigenvalue equations and Sturm-Liouville eigenvalue equations

**Mathematics for Physicists 2 examples classes**

During these classes we helped students with problems set by the lecturer, in order to solidify their understanding of the material covered in lecture. The topics covered included:- Vector calculus
- Distributions and generalised functions
- Fourier series and Fourier transforms
- Matrices and linear algebra
- Partial differential equations

**Mathematics for Physicists 2 collator**

As the collator for this module, I had to organise the marking of the assessed problems. I made certain that the submitted work was recorded appropriately and returned to the students on time. I ensured that the work load was spread fairly amongst the markers. To help average out the difference in marking style between each marker, I rotated script batches between markers. This meant all students would be marked by all markers.

#### 1^{st} year undergraduate physics

- Mathematics for Physicists 1 examples classes

Much like the other examples classes, I guided students through problems set by the lecturer to improve their understanding of the module’s content. Topics covered included:- Trigonometry
- Elementary functions – exponentials, logarithms, and hyperbolics
- Calculus – single variable integration and differentiation
- Taylor series
- Complex numbers
- Vectors
- Differential equations – 1
^{st}order and linear 2^{nd}order - Multivariate calculus – integration and differentiation

Credit: Photo taken, edited, and supplied by Chris Oliver