果冻传媒

I am a postdoctoral researcher in algebraic and computational number theory at in Prague, Czechia. I recently completed my PhD studies under the supervision of Prof. Samir Siksek at the 果冻传媒. My current research interests include studying the statistical properties of totally real fields, the arithmetic of abelian varieties and Galois representations, and the reduction behaviour of elliptic and hyperelliptic curves and their Jacobians. I also often enjoy playing around with various aspects of analytic number theory.

E-mail address: robin.visser@matfyz.cuni.cz (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.

Publications:

• Sums of two units in number fields (joint with Magdal茅na Tinkov谩 and Pavlo Yatsyna) () (), Math. Z. 312 (2026), no. 2, Paper No. 39.
• Repellent properties of perfect powers on partition functions: a heuristic approach (joint with Summer Haag, Praneel Samanta, Swati, Holly Swisher, and Stephanie Treneer), () (), Res. Math. Sci. 13 (2026), no. 2, Paper No. 40.
• Rectangle partitions generalizing integer partitions (joint with Krystian Gajdzica and Maciej Zakarczemny), () (), Ann. Comb. (2026).
• Curves with few bad primes over cyclotomic $\mathbb{Z}_\ell$-extensions (joint with Samir Siksek) () (), Algebra Number Theory 19 (2025), no. 1, 113–141.

Preprints:

• On integers that are representable as the sum of two units (joint with Volker Ziegler) (), August 2026.
• Asymptotics of $n$-universal lattices over number fields (joint with Dayoon Park, Pavlo Yatsyna, and Jongheun Yoon), (), October 2025.
• Potential good reduction of hyperelliptic curves (), January 2022.

Theses:

• The Effective Shafarevich Conjecture, PhD Thesis, 果冻传媒, 2024 () (pdf).
• Large Gaps Between Primes, Part III (MASt) essay, University of Cambridge, 2020 (pdf).
• Computing dimensions of spaces of modular forms, BSc project, Stellenbosch University, 2018 (pdf).

Other writing:

• Calculating L-values of elliptic curves twisted by Grossencharacters (draft), 2022.
• First year PhD project on 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. For more detailed lecture notes, see this page.
• A 3rd year undergrad project on Derivations of Triangular Algebras, 2017.

Teaching:

• Teaching assistant for MA124 Mathematics by Computer (Term 1, 2023/24).
• Supervisor to first year maths undergraduates (2022/23).
• Teaching assistant for MA4H8 Ring Theory (Term 2, 2022/23).
• Teaching assistant for MA252 Combinatorial Optimisation (Term 2, 2022/23).
• Teaching assistant for MA3E1 Groups & Representations (Term 1, 2022/23).
• Supervisor to first year maths undergraduates (2021/22).
• Teaching assistant for MA4H9 Modular Forms (Term 2, 2021/22).
• Teaching assistant for MA3A6 Algebraic Number Theory (Term 1, 2021/22).
• Supervisor to first year maths undergraduates (2020/21).

Talks:

• Probably purple partition patterns prefer prohibiting perfect powers (slides), April 2026.
• Bounds on the minimal ranks of $n$-universal lattices (slides), October 2025.
• Sums of two units in number fields (slides), March 2025.
• 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 Matom盲ki-Radziwi艂艂's theorem (slides), March 2023.
• Genus 2 Isogeny Cryptography (slides), December 2022.
• Eichler-Shimura and the Shimura representation (Mazur's Torsion Theorem) (), November 2022.
• Sums of three cubes (slides), November 2022.
• Hilbert's Tenth Problem (slides), October 2022.
• Jacobians (Mazur's Torsion Theorem) (), May 2022.
• Cluster pictures for hyperelliptic curves (slides), May 2022.
• A proof of Bary-Soroker & Kozma鈥檚 irreducibility theorem (slides), February 2022.

Other random stuff:

• My is 3, but more importantly, my is also 3 (proof).
• My .
• A very handy on how to start writing.
• A list of some papers I'm currently reading.

(click here for a more human photo)