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Steven Groen, visiting assistant professor of mathematics at Lehigh University

Steven Groen

C.C. Hsiung Visiting Assistant Professor

stg323@lehigh.edu
Education:

PhD in Mathematics at the University of Warwick, 2023

MSc in Mathematics at the University of Groningen, 2019

BA in Philosophy at the University of Groningen, 2017

BSc in Mathematics at the University of Groningen, 2017

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Additional Interests

  • Number theory
  • Algebraic geometry
  • Arithmetic geometry
  • Abelian varieties
  • Abelian varieties in characteristic p
  • Ekedahl-Oort strata
  • Newton strata

Biography

I’m from the Netherlands, where I studied mathematics and philosophy at the University of Groningen, under the supervision of Jaap Top. In 2023, I obtained my PhD at the University of Warwick in England, under the supervision of Damiano Testa. After that I started as a C.C. Hsiung Visiting Assistant Professor at Lehigh University. In my free time, I like to play the piano, swim, cycle, take walks in nature and play card/board games with friends.

Accepted papers:

2. Doubly isogenous genus-2 curves with D4-action, joint with Vishal Arul, Jeremy Booher, Everett Howe, Wanlin Li, Vlad Matei, Rachel Pries and Caleb Springer. To appear in Mathematics of Computation. https://arxiv.org/abs/2102.11419

1. A parametrized set of explicit elements of $\Sha(E/\Q)[3]$. Published in INTEGERS, http://math.colgate.edu/~integers/w108/w108.pdf

Preprints: 

2. a-numbers of cyclic degree p^2 covers of the projective line, joint with Huy Dang. https://arxiv.org/abs/2309.12153

1. Powers of the Cartier operator on Artin-Schreier covers. https://arxiv.org/abs/2208.06504

Teaching

Fall 2023: Math 21, Calculus.