Valentin Blomer

Department of Mathematics

Bahen Centre, 40 St. George St.

University of Toronto

Toronto, Ontario, Canada M5S 2E4

email: vblomer@math.toronto.edu

Mathematics Research

My area of research is analytic number theory, in particular

- automorphic forms and L-functions, and
- quadratic forms and their arithmetic applications.

Selected publications

Estimates for representation numbers of quadratic forms (with A. Granville), Duke Math. Journal 135 (2006), 261-302 (abstract)
Spectral decomposition of shifted convolution sums (with G. Harcos), Duke Math. Journal 144 (2008), 321-339 (abstract, arxiv)
Bounding sup-norms of cusp forms of large level (with R. Holowinsky), Invent. Math. 179 (2010), 645-681 (abstract, arxiv)
On the Ramanujan conjecture over number fields (with F. Brumley), Annals of Math. 174 (2011), 581-605 (arxiv)
Application of the Kuznetsov formula on GL(3), Invent. Math., 55pp., to appear (arxiv)