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{{short description|American mathematician (1936–)}}
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'''Paul Monsky''' (born June 17, 1936) is an [[United States|American]] mathematician and professor at [[Brandeis University]].
{{Infobox scientist
| 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]]
}}
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'''Paul Monsky''' (born June 17, 1936) is an American mathematician and professor at [[Brandeis University]].


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 (see [[Crystalline cohomology]]) and he has worked intensively on Hilbert-Kunz functions and Hilbert-Kunz multiplicity.
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
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==References==
| last1 = Aigner | first1 = Martin | author1-link = Martin Aigner
* “Professor to Face Trial In Antiwar Tax Protest” ''New York Times'' 10 March 1980, p. D8
| last2 = Ziegler | first2 = Günter M. | author2-link = Günter M. Ziegler
| contribution = One square and an odd number of triangles
| doi = 10.1007/978-3-642-00856-6_20
| edition = 4th
| location = Berlin
| pages = 131–138
| publisher = Springer-Verlag
| title = Proofs from The Book
| 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>{{cite news|title=Professor to Face Trial In Antiwar Tax Protest|newspaper=New York Times|date=10 March 1980|page=D8}}
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==External links==
* {{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>
* [http://www.math.brandeis.edu/homepages/monsky/ Monsky's home page at Brandeis University]

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== References ==
{{reflist}}

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== External links ==
* {{cite web | title=Paul Monsky | website=Brandeis University | url=https://www.brandeis.edu/facultyguide/person.html?emplid=26ce9ab0b1a3cc04877478777137c25bb4a5282d }}
* {{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}}


{{DEFAULTSORT:Monsky, Paul}}
{{DEFAULTSORT:Monsky, Paul}}
[[Category:1936 births]]
[[Category:1936 births]]
[[Category:Living people]]
[[Category:Living people]]
[[Category:American mathematicians]]
[[Category:20th-century American mathematicians]]
[[Category:20th-century mathematicians]]
[[Category:21st-century American mathematicians]]
[[Category:21st-century mathematicians]]
[[Category:American algebraists]]
[[Category:Algebraists]]
[[Category:American tax resisters]]
[[Category:American tax resisters]]


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

[[ht:Paul Monsky]]

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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