Publications & preprints

  1. Modular algorithms for Gross-Stark units and Stark-Heegner points
    Contemp. Math., vol. 796, 2024, Amer. Math. Soc., Providence, RI, 261-284 <journal|arxiv> Algorithms for computing Gross-Stark units and Stark-Heegner points using overconvergent modular forms, with implementations in magma and sage.

  2. Diagonal Restrictions of Hilbert Modular Forms
    DPhil Thesis, University of Oxford, 2024 <pdf>
    We extend the results of [DPV21] to ring class characters, or equivalently, to values of analytic theta cocycles at non-fundamental RM points. The main contribution is an explicit adelic construction of Hilbert Eisenstein series transforming with respect to SL2(𝒪) where 𝒪 is a non-maximal order in a real quadratic field.

Code & other projects