Masters thesis: The Brumer-Stark conjecture (pdf), ALGANT program, 2021.
Undergraduate Thesis: Local Class Field Theory (pdf), National University of Singapore, 2019.
Application of Dirichlet polynomials to zero density estimates for the Riemann zeta function, learning seminar on Dirichlet polynomials, University of Warwick, 28th February 2025
Weyl's criterion for spheres and half-weight integral modular forms, learning seminar on Duke's equidistribution theorem, University of Warwick, 15th November 2024.
Distribution of Frobenius traces, learning seminar on Murmurations of Arithmetic L-functions, University of Warwick, 2nd February 2024.
Polarizations and the dual abelian variety, learning seminar on Abelian Varieties, University of Warwick, 14th November 2023.
Kolyvagin's derived classes, Euler systems seminar (online), 22nd September 2023
Automorphic L-functions, learning seminar on Tate's thesis, University of Warwick, 30th June, 2023.
Brauer groups of elliptic surfaces, online seminar on elliptic curves over functions fields, 17th June 2023.
The Shioda--Tate formula, online seminar on elliptic curves over functions fields, 27th May 2023.
Buzzard's eigenvariety machinery, Eigenvarieties learning seminar, University of Warwick, 9th February 2023.
Elliptic curves have no rational points of order 13, online seminar on Mazur's Torsion theorem, 30th December 2022.
Structure of Hecke algebras, online seminar on Mazur's Torsion theorem, 9th November 2022.
Introduction to quaternion algebras, learning seminar on Isogeny-based crytopgraphy, University of Warwick, 2nd November 2022.
Etale cohomology and the Weil conjectures (slides), learning seminar on Hasse-Weil zeta functions, University of Warwick, 10th June, 2022.
Heegner Points (slides), learning seminar on CM and RM theory, University of Warwick, 29th October 2021
The Absolute Galois Group of C(t) (notes) , learning seminar on Galois groups and Fundamental groups, University of Regensburg, 12th July 2021.
The Atiyah--Janich Theorem (notes) , learning seminar on Topological K-theory, University of Regensburg, 5th July 2021.
Transformation formulae and Theta Relations (notes), learning seminar on complex abelian varieties, theta functions and their moduli spaces, University of Regensburg, June 2021
The Commutativity theorem (notes), learning seminar on intersection theory, University of Regensburg, December 2020.
Segre and Chern classes of vector bundles (slides) , learning seminar on intersection theory, University of Regensburg, 12th January 2021.
Representations of sl(2,C) (slides), learning seminar on Lie theory , University of Regensburg, 13th January, 2021.
Simply Connected Lie Groups & the Exponential Map (notes), learning seminar on Lie Theory , University of Regensburg, November 2020.
Stokes' theoem (notes), learning seminar on de Rham cohomology, University of Regensburg, 30th November 2020
Orientation & Integration (notes), learning seminar on de Rham cohomology, 23rd November 2020.
ABC Implies Mordell, Warwick Junior Number Theory seminar, 18th November, 2024.
The Hilbert--Polya dream: finding determinant expressions for zeta functions, Warwick Junior Number Theory seminar, 23rd October, 2023.
Introduction to special values of L-functions, 2nd ALGANT Alumni Network Symposium, Bretagne, 3rd October, 2023.
Introduction to explicit reciprocity laws, Young Researchers in Algeraic Number Theory (YRANT-V), University of Cambridge, 6th September 2023.
Introduction to the abc conjecture, WMS Talk Series, Warwick Mathematics Society, 28th February, 2023.
Introduction to special values of zeta functions, Warwick Postgraduate Seminar, 25th January 2023.
p-adic variation of Euler systems, London Junior Number Theory seminar, Kings College London, 15th March, 2022.
A Historical Introduction to Transcendental Number Theory (slides), Warwick Postgraduate Seminar, 2nd March 2022.
The Brumer-Stark Conjecture (slides) , ALGANT Graduation ceremony, 15th July, 2021
The Kronecker-Weber Theorem, NUS Undergraduate Research Opportunties Program, May 2018.
Fractal Geometry with Aplications, NUS Undergraduate Research Opportunities Program, April 2017.
Exploring a Type-Theoretic Library for Python Environment (with Ryan Brill, Tianyu Liu and Yutong Zou), Research in Industrial Projects for Students (RIPS), Institute for Mathematical Sciences, Singapore, July 2019.
D
iMMstribution of Frobenius traces, learning seminar on Murmurations of Arithmetic L-functions, University of Warwick, 2nd February 2024.