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{{short description|American mathematician (1936–)}}
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[[File:Paul Monsky.jpg|thumb|220px|Paul Monsky at [[Mathematical Research Institute of Oberwolfach|Oberwolfach]] in 2009]]
{{Infobox scientist
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'''Paul Monsky''' (born June 17, 1936) is an [[United States|American]] mathematician and professor at [[Brandeis University]].
| name = Paul Monsky
| image = Paul Monsky.jpg
⚫
| caption = Paul Monsky at [[Mathematical Research Institute of Oberwolfach|Oberwolfach]] in 2009
| birth_date = {{Birth date and age|1936|6|17|}}
| birth_place =
| death_date =
| death_place =
| nationality = American
| field = [[Mathematics]]
| work_institution = [[Brandeis University]]
| alma_mater = [[Swarthmore College]]<br />[[University of Chicago]]
| doctoral_advisor = [[Walter Lewis Baily, Jr.]]
| known_for = [[Monsky–Washnitzer cohomology]], [[Monsky's theorem]]
}}
⚫
'''Paul Monsky''' (born June 17, 1936) is an American mathematician and professor at [[Brandeis University]].


After earning a bachelor's degree from [[Swarthmore College]], he received his [[Ph.D.]] in 1962 from the [[University of Chicago]] under the supervision of [[Walter Lewis Baily, Jr.]]<ref>{{mathgenealogy|id=6511}}</ref> He has introduced the [[Monsky–Washnitzer cohomology]] and he has worked intensively on [[Hilbert–Kunz function]]s and Hilbert–Kunz multiplicity. In 2007, Monsky and Holger Brenner gave an example showing that [[tight closure]] does not commute with localization.<ref>{{cite journal| last1 = Brenner | first1 = Holger | last2 = Monsky | first2 = Paul |title=Tight closure does not commute with localization|journal= [[Annals of Mathematics]] | volume=171|year=2010|issue=1| pages=571–588|doi=10.4007/annals.2010.171.571|mr=2630050|arxiv=0710.2913}}</ref>
After earning a bachelor's degree from [[Swarthmore College]], he received his [[Ph.D.]] in 1962 from the [[University of Chicago]] under the supervision of [[Walter Lewis Baily, Jr.]]<ref>{{mathgenealogy|id=6511}}</ref> He has introduced the [[Monsky–Washnitzer cohomology]] and he has worked intensively on [[Hilbert–Kunz function]]s and Hilbert–Kunz multiplicity. In 2007, Monsky and Holger Brenner gave an example showing that [[tight closure]] does not commute with localization.<ref>{{cite journal| last1 = Brenner | first1 = Holger | last2 = Monsky | first2 = Paul |title=Tight closure does not commute with localization|journal= [[Annals of Mathematics]] | volume=171|year=2010|issue=1| pages=571–588|doi=10.4007/annals.2010.171.571|mr=2630050|arxiv=0710.2913| s2cid = 5950298 }}</ref>


[[Monsky's theorem]], the statement that a square cannot be divided into an odd number of [[equidissection|equal-area triangles]], is named after Monsky, who published the first proof of it in 1970.<ref>{{citation
[[Monsky's theorem]], the statement that a square cannot be divided into an odd number of [[equidissection|equal-area triangles]], is named after Monsky, who published the first proof of it in 1970.<ref>{{citation
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| year = 2010}}.</ref>
| year = 2010}}.</ref>


In the mid-1970s, Monsky stopped paying U.S. federal income tax in protest against military spending. He resisted income tax withholding by claiming extra exemptions, and this led to a criminal conviction on tax charges in 1980.<ref>“Professor to Face Trial In Antiwar Tax Protest” ''New York Times'' 10 March 1980, p. D8; Syre, Steven W. “More Individuals, Groups Refuse to Pay Taxes” (UPI dispatch as found in) ''The Bryan Times'' 10 April 1980, p. 12</ref>
In the mid-1970s, Monsky stopped paying U.S. federal income tax in protest against military spending. He resisted income tax withholding by claiming extra exemptions, and this led to a criminal conviction on tax charges in 1980.<ref>{{cite news|title=Professor to Face Trial In Antiwar Tax Protest|newspaper=New York Times|date=10 March 1980|page=D8}}
* {{cite news|last=Syre|first=Steven W.|title=More Individuals, Groups Refuse to Pay Taxes|newspaper=The Bryan Times|date=10 April 1980|page=12}}</ref>


== References ==
== References ==
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== External links ==
== External links ==
* [http://www.brandeis.edu/facultyguide/person.html?emplid=26ce9ab0b1a3cc04877478777137c25bb4a5282d Monsky's home page at Brandeis University]
* {{cite web | title=Paul Monsky | website=Brandeis University | url=https://www.brandeis.edu/facultyguide/person.html?emplid=26ce9ab0b1a3cc04877478777137c25bb4a5282d }}
* [http://front.math.ucdavis.edu/0710.2913 Preprint on the example of Monsky and Brenner that tight closure does not commute with localization.]
* {{cite arXiv | last1=Brenner | first1=Holger | last2=Monsky | first2=Paul | title=Tight closure does not commute with localization | date=October 15, 2007 | class=math.AC | eprint=0710.2913v3 }}


{{Authority control}}
{{Authority control}}
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[[Category:20th-century American mathematicians]]
[[Category:20th-century American mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:Algebraists]]
[[Category:American algebraists]]
[[Category:American tax resisters]]
[[Category:American tax resisters]]


{{US-academic-bio-stub}}
{{US-mathematician-stub}}

Latest revision as of 18:44, 25 November 2024

Paul Monsky
Paul Monsky at Oberwolfach in 2009
Born (1936-06-17) June 17, 1936 (age 88)
NationalityAmerican
Alma materSwarthmore College
University of Chicago
Known forMonsky–Washnitzer cohomology, Monsky's theorem
Scientific career
FieldsMathematics
InstitutionsBrandeis University
Doctoral advisorWalter Lewis Baily, Jr.

Paul Monsky (born June 17, 1936) is an American mathematician and professor at Brandeis University.

After earning a bachelor's degree from Swarthmore College, he received his Ph.D. in 1962 from the University of Chicago under the supervision of Walter Lewis Baily, Jr.[1] He has introduced the Monsky–Washnitzer cohomology and he has worked intensively on Hilbert–Kunz functions and Hilbert–Kunz multiplicity. In 2007, Monsky and Holger Brenner gave an example showing that tight closure does not commute with localization.[2]

Monsky's theorem, the statement that a square cannot be divided into an odd number of equal-area triangles, is named after Monsky, who published the first proof of it in 1970.[3]

In the mid-1970s, Monsky stopped paying U.S. federal income tax in protest against military spending. He resisted income tax withholding by claiming extra exemptions, and this led to a criminal conviction on tax charges in 1980.[4]

References

[edit]
  1. ^ Paul Monsky at the Mathematics Genealogy Project
  2. ^ Brenner, Holger; Monsky, Paul (2010). "Tight closure does not commute with localization". Annals of Mathematics. 171 (1): 571–588. arXiv:0710.2913. doi:10.4007/annals.2010.171.571. MR 2630050. S2CID 5950298.
  3. ^ Aigner, Martin; Ziegler, Günter M. (2010), "One square and an odd number of triangles", Proofs from The Book (4th ed.), Berlin: Springer-Verlag, pp. 131–138, doi:10.1007/978-3-642-00856-6_20.
  4. ^ "Professor to Face Trial In Antiwar Tax Protest". New York Times. 10 March 1980. p. D8.
    • Syre, Steven W. (10 April 1980). "More Individuals, Groups Refuse to Pay Taxes". The Bryan Times. p. 12.
[edit]
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