CV available on request, please email gc602 at cam dot ac dot uk. I am considering roles in quantitative research, AI, data science and machine learning. For general questions please email cootegeorge15 at gmail dot com.
Bio
I’m George, I am a third year CMI student supervised by Matthew Colbrook and Anders Hansen. Prior to coming to Cambridge I did a BSc in Maths at Warwick.
My interests are fairly broad, but my research lies on the interface between spectral theory and computability theory. I show that universal algorithms cannot exist for many spectral problems by embedding classic non-computable problems such as the halting problem.
Outside of my research, I have (or have had) mathematical interests in Banach space theory, C*-algebras, convex optimisation, set theory, probability/stochastic calculus (doing both courses in Part III) and machine learning.
Content on this blog will fall in three broad categories:
- Compilations of results that are hard to find with proof in literature, (or hard to find in one place, etc.) or interesting results that are rarely covered in structured university study of a subject.
- Expositions about my own research, though original work will only appear after it is on arXiv.
- Tripos past paper solutions: I decided to start this blog the day before my Part III Functional Analysis exam in order to deposit typed solutions for most of Zsak’s past papers. I am open to writing solutions for other courses as well, drop me a line if you’d be interested.
Publications and Preprints
- Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation – arxiv:2606.29083
- Sharp Computational Bounds for Spectral Types of Schrödinger Operators – arxiv:2609.08945
Pages
Part III Functional Analysis Past Paper Solutions (11/06/2023)
How I have seen models evolve over time (06/10/2026)
A timeline of LLMs in maths (11/10/2026)