Paul Vojta

Paul Vojta
Born	(1957-09-30) September 30, 1957
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.

Contributions

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.

Education and career

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.

Awards and honors

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

Selected publications

• Diophantine Approximations and Value Distribution Theory, Lecture Notes in Mathematics 1239, Springer Verlag, 1987, ISBN 978-3-540-17551-3

External links

• Vojta's home page
• Paul Vojta's results at the International Mathematical Olympiad