Luis Garcia

I am a Lecturer in the maths department at UCL. I am interested in the geometry and arithmetic of locally symmetric spaces.

My CV is here.

Office

404

Address

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

Email

l.e.garcia@ucl.ac.uk

Papers

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

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

  Japanese Journal of Mathematics (Special Feature: the Takagi lectures), to appear.

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

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

• 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.

Preprints

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