Valentin Blomer
In the spring I am teaching
Past graduate courses:
- Spectral methods of automorphic forms (Problem sets: Set 1, Set 2, Set 3, Set 4, Set 5)
- Algebra (Problem sets: Set 1, Set 2, Set 3, Set 4, Set 5, Set 6, Set 7, Set 8, Set 9, Set 10, Set 11, Set 12, Set 13, Set 14, Set 15, Set 16, Set 17, Set 18, Set 19)
- Introduction to Modular Forms
- Introduction to Analytic Number Theory (in Göttingen)
- Elliptic Curves and Cryptography (in Göttingen)
Mathematics Research
My favourite area of mathematics is analytic number
theory, in particular the
theory
of quadratic forms and L-functions.
Here's a list of my recent journal articles
- Thin bases of order h, Journal of Number Theory 98 (2003),
34-46 (abstract)
- On cusp forms associated with binary theta series, Archiv der Mathematik 82 (2004), 140-146 (abstract)
- Binary quadratic forms with large discriminants and sums of
two squareful integers,
Crelle's Journal 569 (2004), 213-234 (abstract)
- Uniform bounds for Fourier coefficients of theta series with
arithmetic applications, Acta Arithmetica 114, (2004), 1-21 (abstract)
- Shifted convolution sums and subconvexity bounds for automorphic L-functions, IMRN 2004, no. 73, 3905-3926 (abstract)
- Nonvanishing of class group L-functions at the central point, Annales de l'Institut Fourier 54 (2004), 831-847 (abstract)
- Binary quadratic forms with large discriminants and sums of
two squareful integers
II, J. London Math. Soc. 71 (2005), 69-84 (abstract)
- A three squares theorem with almost primes (with J. Brüdern),
Bulletin of the London Mathematical Society 37 (2005), 507-513 (abstract)
- Rankin-Selberg L-functions on the critical line, manuscripta mathematica 117 (2005), 111-133 (abstract)
- Uniform bounds for the number of integers represented by systems
of Abelian norm forms (with J.-C. Schlage-Puchta), Acta Arith. 123 (2006), 183-199 (abstract)
- Estimates for representation numbers of quadratic forms (with A. Granville), Duke Math. Journal 135 (2006), 261-302 (abstract)
- A Burgess-like subconvex bound for twisted L-functions (with appendix 2 by Z.Mao) (with G. Harcos and P. Michel), Forum Math. 19 (2007), 61-106 (abstract)
- Bounds for modular L-functions in the level aspect (with G.Harcos and P.Michel), Ann. Sci. Ecole Norm. Sup. 40 (2007), 697-740 (abstract)
- The average value of divisor sums in arithmetic progressions, 10pp., to appear in Quart. J. Math. (abstract)
- Ternary quadratic forms, and sums of three squares wth restrcted variables, 15pp., to appear in The anatomy of integers, J.-M. de Koninck, A. Granville, F. Luca (eds.), CRM lecture notes (abstract)
- On the central value of symmetric square L-functions, 20pp., to appear in Math. Z. (abstract)
- Prime paucity for sums of two squares (with J. Brüdern), 5pp., to appear in Bull. Lond. Math. Soc. (abstract)
- Hybrid bounds for twisted L-functions (with G. Harcos), 25pp., to appear in Crelle's Journal (abstract)
- Spectral decomposition of shifted convolution sums (with G.Harcos), 15pp., to appear in Duke Math. J. (abstract)
- A quadric with arithmetic paucity (with J. Brüdern), 10pp., to appear in Quart. J. Math.
and preprints (submitted)
- Lagrange's four squares theorem with smooth variables (with
J. Brüdern and R. Dietmann), 40pp.
(abstract)
- Sums of Hecke eigenvalues over quadratic polynomials, 25pp.
I provide copies of these papers on request (see also here).
- 2003 Research and Thesis Award (University of Stuttgart)
- 2005-09 NSERC Discovery Grant
- 2005 Heinz Maier-Leibnitz Award of the German Reserach Council
- 2006 Connaught New Staff Award
- 2008 Sloan Research Fellowship
Some pictures
Oberwolfach, 2003
Banff, 2004
Johanna (Fall 2007)
Oberwolfach, 2008
Last Update:
Jan 10/2008
