Jan Hendrik Bruinier

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2014 in Oberwolfach

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

  1. ^ Mathematics Genealogy Project
  2. ↑ Published Inventiones Mathematicae, Volume 138, 1999, pp. 51-83
  3. ^ Bruinier, Ono Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms , Arxiv Preprint 2011
  4. ^ Adriana Salerno: Road to Partition: Unveiling the Fractal Structure of Partition Numbers, MAA, April, May 2011
personal data
SURNAME Bruinier, Jan Hendrik
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH October 21, 1971
PLACE OF BIRTH Wiesbaden