May 23, 1955 |
|Institutions||University of Göttingen|
|Alma mater||ETH Zürich|
|Doctoral advisor||Erwin Engeler
Born in Bucharest, he is the brother of Vintilă Mihăilescu. After leaving Romania in 1973, he settled in Switzerland. He studied mathematics and computer science in Zürich, receiving his Ph.D. from ETH Zürich in 1997. His thesis, titled Cyclotomy of rings and primality testing, was written under the direction of Erwin Engeler and Hendrik Lenstra.
In 2002, Mihăilescu proved Catalan's conjecture. This number-theoretical conjecture, formulated by French mathematician Eugène Charles Catalan in 1844, had stood unresolved for over a century. Mihăilescu's proof appeared in Crelle's Journal in 2004. The result is now occasionally known as Mihăilescu's theorem.
- Tauno Metsänkylä, "Catalan's Conjecture: Another old Diophantine problem solved", Bull. Amer. Math. Soc. 41 (2004), 43–57. MR 2015449
- Preda Mihăilescu, "Primary cyclotomic units and a proof of Catalan's conjecture", J. Reine Angew. Math. 572 (2004), 167–195. MR 2076124
- Preda Mihăilescu, "Reflection, Bernoulli numbers and the proof of Catalan's conjecture", European Congress of Mathematics, 325–340, Eur. Math. Soc., Zürich, 2005. MR 2185753
- René Schoof, "Catalan's Conjecture", Universitext, Springer-Verlag, 2008.
- Preda Mihăilescu at the Mathematics Genealogy Project
- Web page at Göttingen
- Web page at Paderborn (no more updated)