Luis García

I am a Lecturer in the Department of Mathematics at UCL.

Department of Mathematics
University College London
Gower Street
London WC1E 6BT, UK


Jointly with Pierre Charollois I am organising the Workshop "Eisenstein days at UCL", on December 18-19, 2023. The website is here.


  • Elliptic units for complex cubic fields (with N. Bergeron and P. Charollois) [pdf]


  • Kudla-Millson forms and one-variable degenerations of Hodge structure [pdf]


  • On the values of some singular currents on Shimura varieties of orthogonal type [pdf]


  • Papers

    PDF files may differ slightly from their published or arXiv versions.

  • Cocycles de groupe pour GL(N) et arrangements d'hyperplans (with N. Bergeron and P. Charollois) [pdf, published version]

    CRM Monograph Series (AMS) Volume 39, 2023.

  • Eisenstein cohomology classes for GL(N) over imaginary quadratic fields (with N. Bergeron and P. Charollois) [pdf, published version]

    Journal für die reine und angewandte Mathematik (Crelles Journal) Volume 2023, Issue 797, 1-40.

  • Counting abelian varieties over finite fields via Frobenius densities (with J. Achter, J. Gordon and A. Altug and an appendix by W-W. Li and T. Rüd) [pdf, published version]

    Algebra & Number Theory 17 (2023), no. 7, 1239-1280.

  • Transgressions of the Euler class and Eisenstein cohomology of GL(N,Z) (with N. Bergeron and P. Charollois) [pdf, published version]

    Japanese Journal of Mathematics (Special Feature: the Takagi lectures) 15 (2020), 311–379.

  • Green forms and the arithmetic Siegel-Weil formula (with S. Sankaran) [pdf, published version]

    Inventiones mathematicae 215 (2019), no. 3, 863–975.

    (There is a minor error in the published version that is corrected in the pdf version above. The error involves the constant κ(T) appearing in the computation of degenerate Fourier coefficients of Siegel Eisenstein series. All the results in the paper, and their proofs, remain unchanged.)
  • Superconnections, theta series, and period domains [pdf, published version]

    Advances in Mathematics 329 (2018), 555–589.

  • Regularized theta lifts and (1,1)-currents on GSpin Shimura varieties [pdf, published version]

    Algebra & Number Theory 10 (2016), no. 3, 597-644.