Preda Mihăilescu
| Preda Mihăilescu | |
|---|---|
| Born |
May 23, 1955 Bucharest, Romania |
| Nationality | Romanian |
| Fields | Mathematics |
| Institutions | University of Göttingen |
| Alma mater | ETH Zürich |
| Doctoral advisor |
Erwin Engeler Hendrik Lenstra |
| Known for |
proving Catalan's conjecture |
Preda V. Mihăilescu (born May 23, 1955) is a Romanian mathematician, best known for his proof of the 158-year-old Catalan's conjecture.
History
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 a Ph.D. from ETH Zürich in 1997. His Ph.D. thesis, titled Cyclotomy of rings and primality testing,[1] was written under the direction of Erwin Engeler and Hendrik Lenstra.
For several years, he did research at the University of Paderborn, Germany. Since 2005, he has held a professorship at the Georg-August University of Göttingen.
Main results
In 2002, Mihăilescu proved Catalan's conjecture.[2][3][4] 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.
In 2009, Mihăilescu announced a proof of Leopoldt's conjecture for all number fields.[5]
Notes
References
- 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:0905.1274
. - Schoof, René (2008). Catalan's Conjecture. Universitext. Springer. OCLC 656399081.
External links
- Preda Mihăilescu at the Mathematics Genealogy Project
- Web page at Göttingen
- Former Web page at Paderborn (no longer updated)