Reinhard Bölling

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Reinhard Bölling (2016)

Reinhard Bölling (born October 19, 1944 in Berlin ) is a German mathematician ( number theory ) and mathematician.

Bölling studied mathematics from 1962 at the Friedrich Schiller University in Jena and from 1963 at the Humboldt University in Berlin (among others with Hans Reichardt and Helmut Koch ), where he obtained his diploma in 1967. From 1968 to 1970 he was with Igor Schafarewitsch at Lomonossow University in Moscow, from which his doctoral thesis arose from the arithmetic theory of elliptic curves at Humboldt University (1973). In doing so, he proved that the orders of the Tate-Schafarewitsch groups of elliptic curves can be arbitrarily large, at a time when this group was not known for any single elliptic curve, and that it was never certain that it was finite (or infinite) . He then worked at the Karl Weierstrasse Institute of the Academy of Sciences of the GDR in Berlin. From the mid-1980s he turned to the history of mathematics. Specifically, it dealt with the Berlin history of mathematics in the second half of the 19th century, especially Karl Weierstrass and Sofya Kovalevskaya , and gave the correspondence between Weierstrass and his student Sofya Kovalevskaya out where he is since 1990 several times at the Mittag-Leffler Institute in Stockholm, where extensive parts of the estate of Weierstrass and Kovalevskaya are located.

From 1997 until his retirement in 2009 he worked at the University of Potsdam (lectures on analysis, algebra, number theory, history of mathematics). Even after that, he held lectures on the history of mathematics at the Humboldt University (until 2015), the University of Potsdam and the Beuth University of Applied Sciences in Berlin .

From 1970 to 1990 he also led courses for selected, mathematically particularly gifted students at the mathematics special school "Heinrich Hertz" (today Heinrich-Hertz-Gymnasium ) in Berlin-Friedrichshain.

Fonts (selection)

About mathematics:

  • On Ranks of Class Groups of Fields in Dihedral Extensions of Q with Special Reference to Cubic Fields . In: Mathematische Nachrichten 135 (1988), pp. 275-310
  • The class number is not Galois body in Diedererweiterungen over Q with special focus cubic body, I . In: Mathematische Nachrichten 118 (1984), pp. 271-284
  • Notes on class numbers and sums of Jacobi symbols . In: Mathematische Nachrichten 90 (1979), pp. 159-172
  • Elliptic curves with prime guide . In: Mathematische Nachrichten 80 (1977), pp. 253-278
  • About the 3rd rank of quadratic number fields and the rank of certain elliptic curves . In: Mathematische Nachrichten 73 (1976), pp. 155-170
  • The order of the Schafarewitsch-Tate group can be of any size . In: Mathematische Nachrichten 67 (1975), pp. 157-179

On the history of mathematics:

  • On the biography of Karl Weierstrass and on some aspects of his mathematics . In: W. König and J. Sprekels (eds.): Karl Weierstraß (1815–1897). Wiesbaden: Springer Spectrum 2016, pp. 53–121
  • From Reciprocity Laws to Ideal Numbers: An (Un) Known Manuscript by EE Kummer . In: C. Goldstein (ua) (ed.): The Shaping of Arithmetic after CF Gauss's Disquisitiones Arithmeticae. Berlin, Heidelberg: Springer-Verlag 2007, pp. 271–290
  • Georg Cantor - Selected Aspects of His Biography . In: Annual report of the German Mathematicians Association 99 (1997), pp. 49–82
  • Sorrow before the invention of the "ideal complex numbers": The year 1844 . In: Acta historica Leopoldina 27 (1997), pp. 145-157
  • Karl Weierstraß - Stations in a Life . In: Annual report of the German Mathematicians Association 96 (1994), pp. 56–75
  • The photo album for Weierstrass . Edited and commented by Reinhard Bölling, Vieweg 1994
  • The correspondence between Karl Weierstrass and Sofja Kowalewskaja . Edited, introduced and commented on by Reinhard Bölling. Berlin: Akademie Verlag 1993
  • A birthday present , In: The Mathematical Intelligencer, Vol. 11, Heft 4 (1989), pp. 20-25 (on Weierstrass)

Web links

Commons : Reinhard Bölling  - Collection of images, videos and audio files

Individual evidence

  1. ^ Olaf Neumann: Reinhard Bölling for his 60th birthday . In: Journal for the History of Science, Technology and Medicine 14 (2006), pp. 56–57 ( [1] )
  2. ↑ Klaus Altmann: Böllings WPA . In: Mitteilungen der Deutschen Mathematiker-Vereinigung 16 (2008), pp. 48–51, doi : 10.1515 / dmvm-2008-0022
  3. ↑ Alexander Schmidt: Introduction to algebraic number theory . Berlin, Heidelberg: Springer-Verlag 2007, foreword
personal data
SURNAME Bölling, Reinhard
BRIEF DESCRIPTION German mathematician (number theory) and mathematician
DATE OF BIRTH October 19, 1944
PLACE OF BIRTH Berlin