May 23, 1955 |
|Institutions||University of Göttingen|
|Alma mater||ETH Zürich|
|Doctoral advisor||Erwin Engeler
After leaving Romania in 1973, he settled in Switzerland. He studied mathematics and computer science in Zürich, receiving a Ph.D. from ETH Zürich in 1997. His Ph.D. 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 the French and Belgian mathematician Eugène Charles Catalan in 1844, had stood unresolved for 158 years. Mihăilescu's proof appeared in Crelle's Journal in 2004. The result is now occasionally known as Mihăilescu's theorem.
- Mihăilescu 1997.
- Metsänkylä 2004.
- Schoof 2008.
- Bilu et al. 2014.
- Mihăilescu 2009.
- Bilu, Yuri F.; Bugeaud, Yann; Mignotte, Maurice (2014). The Problem of Catalan. Springer. OCLC 893117743.
- Metsänkylä, Tauno (2004). "Catalan's Conjecture: Another old Diophantine problem solved" (PDF). Bull. Amer. Math. Soc. 41: 43–57. doi:10.1090/s0273-0979-03-00993-5. MR 2015449.
- Mihăilescu, Preda (1997). Cyclotomy of rings and primality testing (Ph.D. thesis). ETH Zurich.
- Mihăilescu, Preda (2005). Reflection, Bernoulli Numbers and the Proof of Catalan’s Conjecture. European Congress of Mathematics. Stockholm, Sweden: Eur. Math. Soc. pp. 325–340. doi:10.4171/009-1/21. MR 2185753.
- Mihăilescu, Preda (2009). The T and T* components of Λ – modules and Leopoldt's conjecture (Technical report). arXiv:.
- Schoof, René (2008). Catalan's Conjecture. Universitext. Springer. OCLC 656399081.