Harald Niederreiter

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Harald Niederreiter

Harald Niederreiter (born June 7, 1944 in Vienna ) is an Austrian mathematician.

Niederreiter received his doctorate in 1969 under Edmund Hlawka at the University of Vienna sub auspiciis praesidentis rei publicae ( discrepancy in compact Abelian groups ).

From 1969 to 1978 Niederreiter worked as a professor and scientist at universities and research institutes in the USA (Southern Illinois University, University of Illinois at Urbana-Champaign, Institute for Advanced Study Princeton, University of California at Los Angeles). In 1978 he followed a call to the Chair of Pure Mathematics at the University of the West Indies in Kingston (Jamaica). He returned to Austria in 1981 and worked at the Austrian Academy of Sciences in Vienna, in particular as director of the Institute for Information Processing and as Director of the Institute for Discrete Mathematics. From 2001 to 2009 he was Professor of Mathematics and Computer Science at the National University of Singapore. Since 2009 he has been a Senior Scientist at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) in Linz. From 2010 to 2011 he was KFUPM Chair Professor of Mathematics at the King Fahd University of Petroleum & Minerals in Dhahran (Saudi Arabia). He also stayed as a visiting professor in many countries (Australia, China, Germany, France, Saudi Arabia, Switzerland, Singapore, Taiwan, USA). He has been an honorary professor at the University of Vienna since 1986.

Niederreiter mainly dealt with finite fields and their applications (for example in coding theory ), about which he wrote several standard works, and also with cryptography , generation of pseudo-random numbers, number theory, numerical analysis and algebraic geometry. Some important mathematical methods that he developed are also named after him, such as the Niederreiter cipher system with public keys, the Niederreiter algorithm for factoring polynomials over finite fields, the Niederreiter sequences with small discrepancies and the Niederreiter Xing - Consequences with a small discrepancy.

Niederreiter is a member of the German Academy of Sciences Leopoldina (since 1996, member of the Presidium from 1999 to 2000), the New York Academy of Sciences and the Austrian Academy of Sciences (corresponding member since 1993, full member since 1996). He received the Cardinal Innitzer Appreciation Award for Natural Science in 1998 and the National Science Award in Singapore in 2003. In 1998 he was invited speaker at the International Congress of Mathematicians (ICM) in Berlin ( Nets, (t, s) -Sequences and Algebraic Curves over Finite Fields with Many Rational Points ). In 2003 he was plenary speaker at the International Congress of Industrial and Applied Mathematics (ICIAM) in Sydney ( High-Dimensional Numerical Integration ). In 2012 he was made a Fellow of the American Mathematical Society and an honorary member of the Austrian Mathematical Society . In 2014 he was awarded an honorary doctorate from the Johannes Kepler University in Linz.

He was and is co-editor of many international mathematical journals such as Mathematics of Computation , Acta Arithmetica , Journal of Complexity , ACM Transactions on Modeling and Computer Simulation , Finite Fields and Their Applications , Journal of Algebra and Its Applications , Monte Carlo Methods and Applications , International Journal of Number Theory and International Journal of Computer Mathematics . He was the initiator and often co-organizer of the conference series Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing .

Fonts

  • with Rudolf Lidl : Finite Fields , Encyclopedia of Mathematics and Its Applications Vol. 20, Addison-Wesley 1983 (also translated into Russian); 2nd ed., Cambridge University Press 1997
  • with Rudolf Lidl: Introduction to Finite Fields and Their Applications , Cambridge University Press 1986; revised ed., Cambridge University Press 1994
  • with Lauwerens Kuipers Uniform Distribution of Sequences , Interscience Tracts, Wiley 1974 (also translated into Russian); Reprinted, Dover Publications 2006
  • Random Number Generation and Quasi-Monte Carlo Methods , Soc. Industr. Applied Math. 1992
  • with Chaoping Xing Rational Points on Curves over Finite Fields: Theory and Applications , Cambridge University Press 2001
  • with Chaoping Xing Algebraic Geometry in Coding Theory and Cryptography , Princeton University Press 2009
  • with Arne Winterhof Applied Number Theory , Springer-Verlag 2015
  • with Peter Jau-Shyong Shiue (editor) Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing , Springer-Verlag 1995
  • with Stephen D. Cohen (Editor) Finite Fields and Applications , London Mathematical Society Lecture Note Series No. 233, Cambridge University Press 1996
  • with Peter Hellekalek, Gerhard Larcher and Peter Zinterhof (editors) Monte Carlo and Quasi-Monte Carlo Methods 1996 , Springer-Verlag 1998
  • with Cunsheng Ding and Tor Helleseth (editors) Sequences and Their Applications , Springer-Verlag 1999
  • with Jerome Spanier (editor) Monte Carlo and Quasi-Monte Carlo Methods 1998 , Springer-Verlag 2000
  • with Dieter Jungnickel (editor) Finite Fields and Applications , Springer-Verlag 2001
  • with Kai-Tai Fang and Fred J. Hickernell (editors) Monte Carlo and Quasi-Monte Carlo Methods 2000 , Springer-Verlag 2002
  • (Editor) Coding Theory and Cryptology , World Scientific Publishing 2002
  • (Editor) Monte Carlo and Quasi-Monte Carlo Methods 2002 , Springer-Verlag 2004
  • with Keqin Feng and Chaoping Xing (editors) Coding, Cryptography and Combinatorics , Birkhäuser-Verlag 2004
  • with Denis Talay (editor) Monte Carlo and Quasi-Monte Carlo Methods 2004 , Springer-Verlag 2006
  • with Alexander Keller and Stefan Heinrich (editors) Monte Carlo and Quasi-Monte Carlo Methods 2006 , Springer-Verlag 2008
  • with Yongqing Li, San Ling, Huaxiong Wang, Chaoping Xing and Shengyuan Zhang (editors) Coding and Cryptology , World Scientific Publishing 2008
  • with Peter Kritzer, Friedrich Pillichshammer and Arne Winterhof (editors) Uniform Distribution and Quasi-Monte Carlo Methods , de Gruyter 2014
  • with Alina Ostafe, Daniel Panario and Arne Winterhof (editors) Algebraic Curves and Finite Fields , de Gruyter 2014

Web links

Individual evidence

  1. Almanac of the Austrian Academy of Sciences 1999
  2. Harald Niederreiter in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. Member entry of Harald Niederreiter at the German Academy of Natural Scientists Leopoldina , accessed on July 15, 2016.