
Paul Monsky
    
    Encyclopedia
    
        Paul Monsky is an American
mathematician and professor at Brandeis University
.
After earning a Bachelors degree from Swarthmore College
, he received his Ph. D. in 1962 from the University of Chicago
under the supervision of Walter Bailey. He has introduced the Monsky-Washnitzer cohomology and he has worked intensively on Hilbert-Kunz functions and Hilbert-Kunz multiplicity. In 2007, Monsky and Brenner gave an example showing that tight closure
does not commute with localization.
United States
The United States of America  is a federal constitutional republic comprising fifty states and a federal district...
mathematician and professor at Brandeis University
Brandeis University
Brandeis University  is an American private research university with a liberal arts focus. It is located in the southwestern corner of Waltham, Massachusetts, nine miles  west of Boston. The University has an enrollment of approximately 3,200 undergraduate and 2,100 graduate students. In 2011, it...
.
After earning a Bachelors degree from Swarthmore College
Swarthmore College
Swarthmore College is a private, independent, liberal arts college in the United States with an enrollment of about 1,500 students. The college is located in the borough of Swarthmore, Pennsylvania, 11 miles  southwest of Philadelphia....
, he received his Ph. D. in 1962 from the University of Chicago
University of Chicago
The University of Chicago  is a private research university in Chicago, Illinois, USA.  It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
under the supervision of Walter Bailey. He has introduced the Monsky-Washnitzer cohomology and he has worked intensively on Hilbert-Kunz functions and Hilbert-Kunz multiplicity. In 2007, Monsky and Brenner gave an example showing that tight closure
Tight closure
In mathematics, in the area of commutative algebra, tight closure is an operation defined on ideals in positive characteristic.  It was introduced by Mel Hochster and Craig Huneke in the 1980s....
does not commute with localization.


