Jan Hendrik Bruinier
Jan Hendrik Bruinier (born October 21, 1971 in Wiesbaden ) is a German mathematician .
Bruinier completed his diploma in 1997 with his diploma thesis "Module forms half-weight and relationships to Dirichlet series" under the supervision of Winfried Kohnen at the Ruprecht-Karls-Universität Heidelberg . A year later he received his doctorate there under Eberhard Freitag (and Winfried Kohnen) ( Borcherds Products and Chern Classes of Hirzebruch-Zagier Divisors ). In 2000 he completed his habilitation in Heidelberg ( Borcherds products on O (2, l) and Chern classes of Heegner divisors ). He was a professor at the University of Cologne and has been a professor at the Technical University of Darmstadt since 2007 .
Bruinier deals with number theory , modular forms ( e.g. Borcherd's products), and complex and algebraic geometry.
In 2011, together with Ken Ono , he gave a finite algebraic formula for the values of the partition function . Both achieved a major breakthrough.
Fonts
- with Gerard van der Geer , Günter Harder , Don Zagier The 1-2-3 of modular forms , Springer Verlag 2008 (therein by Bruinier Hilbert modular forms and their applications )
- Borcherds products on O (2, l) and Chern classes of Heegner divisors , Lecture Notes in Mathematics, Volume 1780, Springer Verlag 2002 (Habilitation)
- Infinite products in number theory and geometry , Annual Report DMV, Volume 106, 2004, pp. 151-184 (on Borcherd's products)
- Nonvanishing modulo l of Fourier coefficients of half-integral weight modular forms. Duke Math. J. 98 (1999), no. 3, 595-611.
- Borcherds products and Chern classes of Hirzebruch-Zagier divisors. Invent. Math. 138 (1999), no. 1, 51-83.
- with spark: On two geometric theta lifts. Duke Math. J. 125 (2004), no. 1, 45-90.
- with Burgos, Kühn: Borcherds products and arithmetic intersection theory on Hilbert modular surfaces. Duke Math. J. 139 (2007) no. 1, 1-88.
- with Ono: Heegner divisors, L -functions and harmonic weak Maass forms. Ann. of Math. (2) 172 (2010), no. 3, 2135-2181.
Web links
Individual evidence
- ^ Mathematics Genealogy Project
- ↑ Published Inventiones Mathematicae, Volume 138, 1999, pp. 51-83
- ^ Bruinier, Ono Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms , Arxiv Preprint 2011
- ^ Adriana Salerno: Road to Partition: Unveiling the Fractal Structure of Partition Numbers, MAA, April, May 2011
personal data | |
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SURNAME | Bruinier, Jan Hendrik |
BRIEF DESCRIPTION | German mathematician |
DATE OF BIRTH | October 21, 1971 |
PLACE OF BIRTH | Wiesbaden |