Steven Groen
Profile
Since September 2019, I'm a PhD student in the number theory group under the supervision of Dr Damiano Testa. My interests include arithmetic geometry and algebraic number theory. Currently I'm researching p-torsion of abelian varieties in characteristic p.
Contact information
Email: [first name].[last name]@warwick.ac.uk
Office: B0.16, Zeeman Building.
Publications and preprints
Doubly isogenous genus-2 curves with D4-action, joint with Vishal Arul, Jeremy Booher, Everett W. Howe, Wanlin Li, Vlad Matei, Rachel Pries and Caleb Sringer, February 2021, https://arxiv.org/abs/2102.11419 (under review).
A parametrized set of explicit elements of $\Sha(E/\mathbb{Q})[3]$, joint with Jaap Top, November 2020, https://arxiv.org/abs/2102.11737 (under review).
Teaching
2021-2022: MA426 Elliptic Curves, supervision of first year students.
2020-2021: MA3D5 Galois Theory.
Talks given
The p-torsion of Jacobians of Artin-Schreier curves, Young Researchers in Algebraic Number Theory conference, University of Bristol (online), 2021/08/19
A postgrad presentation on p-torsion in characteristic p, postgraduate seminar, University of Warwick, 2021/05/12
A unique pair of triangles, postgraduate seminar, University of Warwick, 2020/02/26.
Descent by 3-isogeny on elliptic curves, Young Researchers in Algebraic Number Theory conference, University of Warwick, 2019/11/07.
Descent by 3-isogeny on elliptic curves, master's thesis presentation, University of Groningen, 2019/07/11.
Matiyasevich's Theorem: diophantine descriptions of recursively enumerable sets, bachelor's thesis presentation, University of Groningen, 2017/07/03.
Conferences attended
Young researchers in Algebraic Geometry, University of Bristol (online), 18-20 March 2021
Arithmetic, Geometry, Cryptography and Coding Theory, online, 31 May - 4 June 2021
Algorithmic Number Theory Symposium, online, 30 June - 4 July 2020.
ICERM Workshop on Arithmetic Geometry, Providence USA, 1-6 June 2020.
ROW seminar, University of Oxford, 28 January 2020.
Young Researchers in Algebraic Number Theory conference, University of Warwick, 8-11 November 2019.
CMI-HIMR Summer School in Computational Number Theory, University of Bristol, 17-28 June 2019.
Reading groups
Mukai's classification of Fano 3-folds, 2021
Modular forms, 2021
Class field theory, 2020
Algebraic groups, 2020
Derived category, 2020
Perfectoid spaces, 2020
Lazarsfeld's Positivity in Algebraic Geometry, 2020
Tao's algebraic regularity lemma, 2020
Hodge-Tate representations, 2019
Heights, 2018-2019