János Kollár
| János Kollár | |
|---|---|
| Born | June 7, 1956 Budapest |
| Nationality |  Hungary |
| Fields | Mathematics |
| Institutions | Princeton University University of Utah |
| Alma mater | Brandeis University Eötvös University |
| Doctoral advisor | Teruhisa Matsusaka |
| Doctoral students | Alessio Corti Sándor Kovács |
| Notable awards | Cole Prize (2006) |
János Kollár (born June 7, 1956) is a Hungarian mathematician, specializing in algebraic geometry. He is a member of the National Academy of Sciences since 2005 and received the Cole Prize in 2006.
Kollár began his studies at the Eötvös University in Budapest and later received his PhD at Brandeis University in 1984 under the direction of Teruhisa Matsusaka with a thesis on canonical threefolds. He was Junior Fellow at Harvard from 1984 to 1987 and Professor at the University of Utah from 1987 until 1999. Currently, he is professor at Princeton University.[1] He is an external member of the Hungarian Academy of Sciences (1995).[2]
Kollár is known for his contributions to the minimal model program for threefolds and hence the compactification of moduli of surfaces, for pioneering the notion of rational connectedness and finding counterexamples to a conjecture of John Nash.
Kollár also gave the following effective version of Hilbert's Nullstellensatz. Let f1,...,fm be polynomials of degree at most d≥3 in n≥2 variables. If they have no common zero, then g1f1+...+gmfm=1 has a solution such that each gj has degree at most dn-d. The value dn-d is sharp.
[edit] References
- ^ "Mathematics Department Directory". Princeton University. http://www.math.princeton.edu/directory/. Retrieved 23 January 2010.
- ^ "HAS: Members of HAS". Hungarian Academy of Sciences. http://www.mta.hu/index.php?id=members&LANG=e&TID=388&cHash=f8d2b29101. Retrieved 23 January 2010.
