Publications

1. Near coincidences and nilpotent division fields,
   joint with Jeremy Rouse
   (arXiv version)
   
   
2. Minimal Subgroups of GL₂(Z_S),
   joint with Jeremy Rouse
   (arXiv version)
   
   
3. Towards a classification of entanglements of Galois representations attached to elliptic curves,
   joint with Álvaro Lozano-Robledo and Jackson S. Morrow
   (Rev. Mat. Iberoam.39(2023), no.3, 803–844.)
   
   
4. A group theoretic perspective on entanglements of division fields,
   joint with Jackson S. Morrow
   (Trans. Amer. Math. Soc. Ser. B9(2022), 827–858., Magma Code)
   
   
5. Coincidences of division fields,
   joint with Álvaro Lozano-Robledo
   (Ann. Inst. Fourier (Grenoble)73(2023), no.1, 163–202., Magma Code)
   


6. Corrigendum to: Torsion subgroups of rational elliptic curves over the compositum of all D4 extensions of the rational numbers,
   (J. Algebra 575 (2021), 274–284, Magma Code)
   


7. Torsion groups of elliptic curves over Z_p-extensions of Q,
   joint with Michael Chou, Ivan Krijan, and Filip Najman
   (New York J. Math. 27 (2021) 99–123, Magma Code)
   


8. Bounds of the rank of the Mordell-Weil group of jacobians of hyperelliptic curves,
   joint with Álvaro Lozano-Robledo and Erik Wallace
   (J. Théor. Nombres Bordeaux 32 (2020), no. 1, 231–258, Magma Code and Data)


9. Serre's constant of elliptic curves over the rationals,
   joint with Enrique González Jiménez
   (Exp. Math. (2020), no. 0, 1–19, Magma Code)


10. On the torsion of rational elliptic curves over sextic fields,
    joint with Enrique González Jiménez
    (Math. Comp. 89 (2020), 411-435 , Magma Code)


11. Groups of generalized G-type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q,
    joint with Maarten Derickx and Jeffrey Hatley
    (Trans. London Math. Soc. 6(1) (2019), 22-52 , Magma Code)


12. Torsion subgroups of rational elliptic curves over the compositum of all D₄-extensions of the rational numbers,
    (J. Algebra 509 (2018), 535–565, Magma Code)


13. Torsion points on rational elliptic curves over the compositum of all cubic fields,
    joint with Álvaro Lozano-Robledo, Filip Najman, and Andrew V. Sutherland
    (Math. Comp. 87 (2018), 425-458, Magma Code)


14. On the ranks of elliptic curves with isogenies,
    joint with Hannah Goodwillie
    (Int. J. Number Theory 13 (2017), no. 9, 2215–2227, Data)


15. What is... an elliptic curve,
    joint with Álvaro Lozano-Robledo
    (Notices Amer. Math. Soc. 64 (2017), no. 3, 241–243)


16. Elliptic curves with maximally disjoint division fields,
    joint with Jeffrey Hatley and James Ricci
    (Acta Arith., Vol. 175, No. 3 (2016), 211-223)


17. On the number of isomorphism classes of CM elliptic curves defined over a number field,
    joint with Álvaro Lozano-Robledo
    (J. Number Theory 157 (2015), 367–396)


18. An infinite family of Serre curves,
    (J. Number Theory 155 (2015), 226–247–247)


19. Siegel functions, modular curves, and Serre's uniformity problem,
    (Albanian J. Math. 9 (2015), no. 1, 3–29 )