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Paul Vojta

Paul Vojta
Vojta Paul.jpg
Born (1957-09-30) September 30, 1957 (age 59)
Nationality American
Fields Mathematics
Institutions University of California, Berkeley
Alma mater Harvard University
University of Minnesota
Doctoral advisor Barry Mazur
Doctoral students David McKinnon
Xiangjun Song
Known for Vojta's conjecture
Notable awards Cole Prize (1992)
Putnam Fellow

Paul Alan Vojta (born September 30, 1957) is an American mathematician, known for his work in number theory on diophantine geometry and diophantine approximation.

In formulating a number of striking conjectures, he pointed out the possible existence of parallels between the Nevanlinna theory of complex analysis, and diophantine analysis. This was a novel contribution to the circle of ideas around the Mordell conjecture and abc conjecture, suggesting something of large importance to the integer solutions (affine space) aspect of diophantine equations. It has been taken up in his own work, and that of others.

Vojta has also written the popular .dvi-previewer xdvi.

He was an undergraduate student at the University of Minnesota, where he was a Putnam Fellow, and a doctoral student at Harvard University (1983). He currently is a professor in the Department of Mathematics at the University of California, Berkeley.

In 2012 he became a fellow of the American Mathematical Society.



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