Lucas Leung (Tsun-yin)

Temporary holder

About Me

I am currently a DPhil student in the Particle Theory group of the Department of Physics at Oxford under the supervision of Professor Andre Lukas (his personal webpage is here). I was previously a student at the University of Cambridge, having completed Parts I and II of Natural Sciences Tripos (NST) and Part III of Mathematical Tripos. Here is my CV.

Research

Current Research

Broadly speaking, my main research interests lie in the intersection of mathematics and physics. The particular area I am mostly involved in is something known as "String Phemenology". This involves using algebraic and differential geometric techniques to obtain vaible phemenological models of the Standard Model from string theory.

String theory remains the only constructed Quantum Gravity (QG) model that mathematicians and physicists can study and manipulate. Our group is interested in obtaining viable models directly from superstring theory, in a technique called string compactification. This involves reducing the ten dimensions in superstring theory to the four-dimensions we see in our daily life with some hidden dimensional constructions known as Calabi-Yau manifolds. Currently, I am mainly interested in the details of non-pertubative effects that arise in heterotic E8xE8 string compactifications on line bundles of CICYs, as well as ultilising Machine Learning (ML) techniques to search through viable models that can appear in heterotic compactifications.

Reading Group

Starting from Hilary 2023 I have been organising a reading group on AdS/CFT with the other PhD students. The reading group page can be found here.

Teaching

I am currently not teaching this term (Trinity 2023).

In Hilary 2023 I am the teaching assistant (TA) for Strings I. In Michaelmas 2022 I was a tutor for Groups and Representations.

Old Research

I previously completed a project with Dr Michal Kwasigroch, a temporary college lecturer in Trinity on Mean Field Theory analysis of RKKY and Kodo interactions in a Kondo lattice. A temporary detailed report can be found here.

In 2020 I did a summer poject on lubricated icesheet perturbation analysis with Dr Katarzyna Kowal in DAMTP. A short report can be found here.

Outreach

QCPhO Training materials

In the summer of 2020 I taught a short course in my secondary school on Newtonian physics and some mathematical techniques. The course book can be found in the link below:

Problem Book on Classical Mechanics

I was also the tutor and then the advisor for the student-run QCPhO Training Course from 2015-2017. Some notes that I have made throughtout the years can be found below.

Vector Basics

Notes on Simple Harmonic Motion

A Question Paper (hard)

DSE Physics

I have been helping (unofficially) students in my secondary school in their DSE preparation during the COVID-19 pandemic. Here are some useful resources.

Exam Technique Slides

Conceptual Questions Answers will be added soon!

Other Fun Stuff

I am an enthusiastic triathlete (and perhaps one of the only asian faces in the club...)! I am heavily involed in the Oxford University Triathlon Club and am the Treasurer in year 2023-24. Our club webpage can be found here.

I also compose music (here is a link to my Youtube Channel).

I did an Undertale Medley arrangement for an ensemble when I was in Cambridge. I had arranged and orchestrated the pieces we are going to perform. Here is an example.