I am a fourth year PhD student in algebraic number theory, under the supervision of Prof. Samir Siksek. My current research interests include studying both elliptic and hyperelliptic curves and their Jacobians, although I've also enjoyed playing around with various aspects of computational and analytic number theory.

E-mail address: robin.visser@warwick.ac.uk

Background: After finishing my B.Sc. (Hons) degree at Stellenbosch University in 2018, I completed my MASt (Part III) at the University of Cambridge in 2020, where I also wrote a short essay on large prime gaps. For more information on my background, see my CV.

Teaching:

• Teaching assistant for MA4H8 Ring Theory (Term 2, 22/23)
• Teaching assistant for MA252 Combinatorial Optimisation (Term 2, 22/23)
• Teaching assistant for MA3E1 Groups & Representations (Term 1, 22/23)
• Supervisor to first year maths undergraduates (21/22)
• Teaching assistant for MA4H9 Modular Forms (Term 2, 21/22)
• Teaching assistant for MA3A6 Algebraic Number Theory (Term 1, 21/22)
• Supervisor to first year maths undergraduates (20/21)

Writing:

• The Effective Shafarevich Conjecture (draft).
• Curves with few bad primes over cyclotomic $\mathbb{Z}_\ell$-extensions (joint with Samir Siksek) (arXivLink opens in a new window), February 2023.
• Potential good reduction of hyperelliptic curves (arXivLink opens in a new window), January 2022.
• Calculating L-values of elliptic curves twisted by Grossencharacters (draft), 2022.
• First year projects on Reduction of Hyperelliptic Curves and L-values of Twisted Elliptic Curves, September 2021.
• A short mini-project on the Abel-Jacobi map, January 2021.
• Some of my (very rough) Part III notes on Elliptic Curves, Modular Forms, Algebraic Number Theory, Analytic Number Theory.
• Computing dimensions of spaces of modular forms (pdf), BSc project, 2018.

Talks:

• Computing genus 2 curves over $\mathbb{Q}$ whose Jacobians have good reduction away from 2 (slides), June 2024.
• The Effective Shafarevich Conjecture (slides), February 2024.
• Murmurations in Arithmetic (slides), January 2024.
• Gaps between primes (slides), October 2023.
• Abelian surfaces with good reduction away from 2 (slides), September 2023.
• Kronecker's limit formula and L-functions of elliptic curves with CM (Euler Systems seminar) (notes), September 2023.
• Curves with few bad primes over cyclotomic $\mathbb{Z}_\ell$-extensions (slides), July 2023.
• A survey of applications to Matomäki-Radziwiłł's theorem (slides), March 2023.
• Genus 2 Isogeny Cryptography (slides), December 2022.
• Eichler-Shimura and the Shimura representation (Mazur's Torsion Theorem) (linkLink opens in a new window), November 2022.
• Sums of three cubes (slides), November 2022.
• Hilbert's Tenth Problem (slides), October 2022.
• Jacobians (Mazur's Torsion Theorem) (linkLink opens in a new window), May 2022.
• Cluster pictures for hyperelliptic curves (slides), May 2022.
• A proof of Bary-Soroker & Kozma’s irreducibility theorem (slides), February 2022.

Random stuff probably no one cares about:

• My Erdős number is n, but more importantly, my Erdős lap number is 3 (proof)!
• My OEIS contributionsLink opens in a new window!

(click here for a more human photo)