I'm a Postdoctoral Research Fellow at University College London. My research is supported by the EPSRC Doctoral Prize Fellowship (EP/W524335/1).
Previously, I was a PhD student at the University of Warwick, supervised by Prof. Samir Siksek and Dr Damiano Testa.
My research interests are in number theory and arithmetic geometry.
Contact: e.lupoian@ucl.ac.uk or elupoian@gmail.com
9. On Ranks of Jacobians of Twists of Hyperelliptic Curves (with Stephanie Chan, Seoyoung Kim, Riya Parankimamvila Mamachan, Tian Wang, Zoe Yvon) pdf
8. Cuspidal Class Number Formulae for Intermediate Modular Curves of Prime Level pdf
7. Intersections of the Ekedahl-Oort and Newton strata of A_5 (with Steven Groen and Mychelle Parker) arxiv
6. Modular Units on X1(p) and Quotients of the Cuspidal Group arxiv
5. Ceresa Cycles of X0(N) (with James Rawson) arxiv
4. Three-Torsion Subgroups and Wild Conductor Exponents of Plane Quartics (with James Rawson) arxiv (to appear in Research in Number Theory)
3. Computing the Cuspidal Subgroup of the Modular Jacobian J_H(p) arxiv (Publications mathématiques de Besançon)
2. Three-Torsion Subgroups and Wild Conductors of Genus 3 Hyperelliptic Curves arxiv (Journal of Number Theory)
Two-Torsion Subgroups of Some Modular Jacobians arxiv (International Journal of Number Theory)
I organised the London Number Theory study group: Models of Curves and Arithmetic Applications
I was a co-organiser of Modular Curves and their Arithmetic
In October 2023, I organised a study group on Moduli Problems of Elliptic Curves
In 2023, I was a co-organiser of the Warwick Junior Number Theory Seminar