Dr Rainer Dietmann
Lecturer in Mathematics
Address:
Department of Mathematics
Royal Holloway, University of London
Egham, Surrey TW20 0EX
United Kingdom
Room C239
Tel +44 (0)1784 276582
email: first name dot last name at rhul.ac.uk
Research interests:
- Analytic Number Theory
- Diophantine equations
Publications:
My Erdös number is is 2.
- Small solutions of additive cubic congruences , Archiv der Mathematik 75 (2000), 195--197.
- Small solutions of quadratic diophantine equations , Proc. London Math. Soc. 86 (2003), 545--582.
- (with T. D. Wooley) Pairs of cubic forms in many variables , Acta Arith. 110 (2003), 125--140.
- Cubic forms modulo one , Bull. Lond. Math. Soc. 36 (2004), 198--204.
- Systems of rational quadratic forms , Archiv der Mathematik 82 (2004), 507--516.
- (with C. Elsholtz, K. Gyarmati and M. Simonovits)
Shifted products that are coprime pure powers , J. of Comb. Th. Ser. A 111 (2005), 24--36. - Linear spaces on the intersection of quadratic hypersurfaces, and systems of p-adic quadratic forms , Monatsh. Math. 146 (2005), 175--178.
- Probabilistic Galois theory for quartic polynomials , Glasgow Math. J. 48 (2006), 553--556.
- Polynomial bounds for equivalence of quadratic forms with cube-free determinant , Math. Proc. Cambridge Philos. Soc. 143 (2007), 521--532.
- (with T. D. Browning) On the representation of integers by quadratic forms , Proc. London Math. Soc. 96 (2008), 389--416.
- Systems of cubic forms , J. London Math. Soc. 77 (2008), 666--686.
- Simultaneous Diophantine approximation by square-free numbers , Quart. J. of Math. (Oxford) 59 (2008), 311--319.
- (with Christian Elsholtz) Sums of two squares and one biquadrate , Functiones et approximatio 38 (2008), 233--234.
- Small zeros of quadratic forms avoiding a finite set of prescribed hyperplanes , Canadian Math. Bull. 52 (2009), 63--65.
- (with T.D. Browning) Solubility of Fermat equations , Quadratic Forms--Algebra, Arithmetic, and Geometry, Contemporary Mathematics 493 (2009), 99--106
- (with V. Blomer and J. Brüdern) Sums of smooth squares , Compositio Math. 145 (2009), 1401--1441.
- (with J. Brüdern, J.Y. Liu and T.D. Wooley) A Birch-Goldbach theorem , Archiv der Mathematik 94 (2010), 53--58.
- Linear spaces on rational hypersurfaces of odd degree , Bull. London Math. Soc. 42 (2010), 891--895.
- (with J. Brüdern) On the gaps between values of binary quadratic forms , Proc. Edinb. Math. Soc. 54 (2011), 25--32.
- (with T.D. Browning and P.D.T.A. Elliott) Least zero of a cubic form, to appear in Math. Annalen
- (with Christian Elsholtz) Hilbert cubes in progression-free sets and in the set of squares, accepted in Israel J. of Math.