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 Chenyang Xu |
| Notable awards |
Cole Prize (2006) Nemmers Prize in Mathematics (2016) |
János Kollár (born June 7, 1956) is a Hungarian mathematician, specializing in algebraic geometry.
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.
Kollár is known for his contributions to the minimal model program for threefolds and hence the compactification of moduli of algebraic surfaces, for pioneering the notion of rational connectedness (i.e. extending the theory of rationally connected varieties for varieties over the complex field to varieties over local fields), and finding counterexamples to a conjecture of John Nash. (In 1952 Nash conjectured a converse to a famous theorem he proved, and Kollár was able to provide many 3-dimensional counterexamples from an important new structure theory for a class of 3-dimensional algebraic varieties.)
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