People



4 recent unread papers on desk:
1. Calculus and Cohomology, arXiv
2. Blowup and non-uniqueness, arXiv
3. Geometrization of the Local Langlands Correspondence, Motivically, arXiv
4. On the irrationality of certain series, paper
5. Introduction to Homotopy Type Theory, arXiv

Recent talks:
1. Geometric Langlands Duality with generalised coefficients, youtube
2. Math experiments, pdf
3. Ramsey Numbers, youtube.
4. Langlands program, youtube.
5. Irrationality of a specific form of L-function, youtube.

Favourite papers:
1. Geometrisation of local langlands correspondence, motivically, arXiv
2. Motivating motives, arXiv
3. Arithmetic groups and Automorphic forms, arXiv

List of all collaborators:

  1. Physical systems:
    a) Prof. Ian Wilson
    b) Prof. Angkur Shaikeea
  2. Complex systems:
    a) Prof. Walter Federle
    b) Prof. Andrew Adamatzky
    c) Dr Giuseppe Tarabella
    d) Dr Victor Kang
  3. Computing with neural networks:
    a) Dr Giulia Marcucci
    b) Adnan Mahmud
    c) Rishav Karki
    d) Rishit Mohan Ahuja
    e) Haydn Cheong
Other blogs

Catalogue
Seminars

1. IAS
2. Oberwolfach
3. INI1, INI2
4. ICMS
5. Fields Institute
6. Virtual

Some handy tools
1. https://hasanyone.com/
2. https://axi.lims.ac.uk/

Problem Sets

  1. Advanced Problem Solving
  2. Mathematical Problem Solving

Favourite Quotes

John H. Conway, mathematician, and his quote in an interview,
“And then, when the ICM opened, no French delegation. That was the terrible thing. I am tearing up now. Because after a time, French team marched in with Poincare holding together and about 20 people came in, and everybody burst into spontaneous ovation. Anyway, that’s an aspect of Cantor’s influence on mathematics that you might not have been aware of“.

Letters/Notes/Pictures

  1. Commentary article on “Path Induction and the Indiscernibility of Identicals”, Hardy Lecture 2025 (pdf)
  2. Big Proof, June 2025
  3. Equivariant Homotopy Theory, Jan 2025



3. Letter on the potential connection between Sarnak’s conjecture and an error function (21st Dec, 2024).

4.Lecture Notes, Fluid Dynamics Barcelona September 2024 (notes here and blog here)


5. Giulia Marcucci and Jeremy Delhommeau, September 2024.

6.Twistors in Geometry and Physics September 2024

7. “It from bits: Fluids” art exhibition in the “Navier-Stokes regularity, fluid computing & machine learning workshop” with guest Hardy lecturer Prof. Eva Miranda June 2023



8. JFM Batchelor Centenary 2021

Some old papers on the desk:

  1. How the continuum hypothesis could have been a fundamental axiom, J.D. Hamkins, arXiv
  2. Non-uniqueness in the Leray-Hopf class for a dyadic Navier-Stokes model, Stan Palasek, arXiv