Bachelor Thesis - 2023/2024
My thesis was a review of Foundations of the \(\small\text{AdS}_5\times S^5\) Superstring in which
I reproduced many of the results from the first two chapters. It involved learning about basic string theory, superalgebras, the Green-Schwarz superstring
in \(\small\text{AdS}_5\times S^5\), and how one could go about quantising it in the light-cone gauge. It turns out to be difficult to quantise the model
directly so one resorts to a perturbative approach in the limit as the string length goes to infinity.
Here is my thesis as well as the slides and poster to go along with it.
|
|
Research Experience - Summer 2023
Received the
Naughton Fellowship to do an REU at the University of Notre Dame.
Worked with Prof. Ragnar Stroberg on
spurious isospin symmetry breaking in the IMSRG formalism of ab initio many-body nuclear theory.
See report and presentation slides.
|
|
Interactive Potts Model - 2023
Following an independent reading project on statistical field theory, my interest
in critical behaviour led to this visual showcase of the square lattice Potts model.
To play around with the physics, see this interactive gallery (best on desktop).
If you want to skip straight to the theory behind it, see the report.
|
|
Solitons in 1+1 dimensions - Nov 2023
Learned about basic soliton theory with Eliza Somerville and wrote a
short introduction to solitons in 1+1 dimensions, namely solutions to the KdV equation and kink solitons for a \(\small\phi^4\) potential and a sine-Gordon potential.
See some satisfying animations and our report.
|
|
Physics Communication - 2023
Wrote and filmed a video series introducing index notation, the Levi-Civita symbol and Einstein summation
convention for the Theoretical Physics Student Association (TPSA). Recently made a video on the critical
temperature of the Ising Model with Mikey Whelan.
- Einstein Summation Convention #1
- Einstein Summation Convention #2
- Einstein Summation Convention #3 - Classical Field Theory
- Critical Temperature of the 2D Ising Model
|
|
Electoral Redistricting - May 2023
Sparked by the Real World Mathematical Modelling
hackathon event, applied multi-objective optimisation and data science techniques to the elecotral
redistricting of Ireland. I worked with Eliza Somerville,
Ben McGloin and Mikey Whelan.
See report and
code repository.
|
|
