Preda Mihăilescu

from Wikipedia, the free encyclopedia
Preda Mihăilescu

Preda V. Mihăilescu (* 23. May 1955 in Bucharest ) is a in Switzerland and in Germany acting Romanian mathematician . He achieved worldwide renown especially through the proof of the Catalan conjecture . He is the brother of the Romanian ethnologist Vintilă Mihăilescu .

In 1973 Preda Mihăilescu left Romania for Switzerland. He studied mathematics and computer science at the ETH Zurich . After a long creative period in industry , he received his doctorate relatively late in 1997 at the age of 42 under Erwin Engeler and Hendrik Lenstra . The subject of his dissertation were circular division polynomials , cyclotomic rings and primality tests .

In 2002, Preda Mihăilescu succeeded in proving the Catalan conjecture, which had been unproven for over 150 years, after first encountering it in 1999. The following year he completed his habilitation at the University of Paderborn . Since 2005 he has held a chair at the University of Göttingen .

In 2004 he was invited to speak at the 4th European Congress of Mathematicians ( Reflection, Bernoulli Numbers and the Proof of Catalans Conjecture ).

In 2009 Mihăilescu published an article in arXiv , which is supposed to prove the Leopoldt conjecture (by Heinrich-Wolfgang Leopoldt ) for all number fields.

Publications

  • Preda Mihăilescu: Primary Cyclotomic Units and a Proof of Catalan's Conjecture . In: Journal for pure and applied mathematics . 2004, No. 572, 2004, pp. 167-195. doi : 10.1515 / crll.2004.048 .
  • Preda Mihăilescu: Reflection, Bernoulli Numbers and the Proof of Catalan's Conjecture. In: European Congress of Mathematics. European Mathematical Society, 2005, pp. 325-340.
  • Preda Mihăilescu: The T and T * components of Λ - modules and Leopoldt's conjecture , Preprint (2009). [1]

literature

  • René Schoof: Catalan's Conjecture  (= university text ). Springer, 2008, OCLC 656399081 .

Left