Joseph H. Silverman: Difference between revisions

Joseph H. Silverman
Joseph H. Silverman
Born	March 27, 1955 (age 69); New York City
Nationality	American
Alma mater	Harvard University
Awards	Leroy P. Steele Prize (1998)
	Scientific career
Fields	Mathematics
Institutions	Brown University
Doctoral advisor	John Tate
Doctoral students	Michelle Manes; Katherine E. Stange

Browse history interactively

← Previous edit Next edit →

Content deleted Content added

VisualWikitext

Inline

Revision as of 17:08, 7 July 2024

Joseph Hillel Silverman (born March 27, 1955, New York City)^[1] is a professor of mathematics at Brown University^[2] working in arithmetic geometry, arithmetic dynamics, and cryptography.

Biography

Joseph Silverman received an Sc.B. from Brown University in 1977 and a Ph.D. from Harvard University in 1982 under the direction of John Tate. He taught at M.I.T. (1982–1986) and at Boston University (1986–1988) before taking a position at Brown in 1988.^[3]

Silverman has published more than 100 research articles, written or coauthored six books, and edited three conference proceedings; his work has been cited more than 5000 times, by over 2000 distinct authors.^[4] He has served on the editorial boards of Algebra and Number Theory and New York Journal of Mathematics.^[5]^[6]

Industrie

In 1996, Silverman, along with Jeffrey Hoffstein, Jill Pipher and Daniel Lieman, founded NTRU Cryptosystems, Inc. to market their cryptographic algorithms, NTRUEncrypt and NTRUSign.

Awards

In 2012 he became a fellow of the American Mathematical Society.^[7]

Books

Silverman has written two graduate texts on elliptic curves, The Arithmetic of Elliptic Curves (1986) and Advanced Topics in the Arithmetic of Elliptic Curves (1994). For these two books he received a Steele Prize for Mathematical Exposition from the American Mathematical Society, which cited them by saying that “Silverman's volumes have become standard references on one of the most exciting areas of algebraic geometry and number theory.” Silverman has also written three undergraduate texts: Rational Points on Elliptic Curves (1992, co-authored with John Tate), A Friendly Introduction to Number Theory (3rd ed. 2005), and An Introduction to Mathematical Cryptography (2008, co-authored with Jeffrey Hoffstein and Jill Pipher). Additional graduate-level texts authored by Silverman are Diophantine Geometry: An Introduction (2000, co-authored with Marc Hindry) and The Arithmetic of Dynamical Systems (2007).

Publications

———; Hindry, M. (23 March 2000), Diophantine geometry: An introduction, Springer, ISBN 0-387-98981-1.^[8]
———; Cornell, G.; Stevens, G. (1997), Modular forms and Fermat's Last Theorem, Springer, ISBN 0-387-94609-8.^[9]
———; Hoffstein, J.; Pipher, J. (12 August 2008), An introduction to mathematical cryptography, Springer, ISBN 978-0-387-77993-5.
——— (1986), The arithmetic of elliptic curves, 世界图书出版公司, ISBN 0-387-96203-4.^[10]^[11] Silverman, Joseph H. (2009). 2nd edition. Springer. ISBN 9780387094946.
——— (1994), Advanced topics in the arithmetic of elliptic curves, Springer, ISBN 0-387-94328-5.
——— (5 May 2010), The arithmetic of dynamical systems, Springer, ISBN 978-0-387-69903-5.^[12]
——— (2006), A friendly introduction to number theory, Pearson Prentice Hall, ISBN 978-0-13-186137-4.
———; Tate, J. (18 November 1994), Rational points on elliptic curves, Springer, ISBN 0-387-97825-9. Silverman, Joseph H.; Tate, John T. (2015). 2nd edition. Springer. ISBN 9783319185880.^[11]

Notes

^ "Biographies of Candidates 2007" (PDF), Notices of the American Mathematical Society, 54 (8): 1043–1057, September 2007, retrieved 2009-05-25
^ Brown University Mathematics Faculty, retrieved 2020-01-13.
^ [1]
^ MathSciNet author citations
^ Editorial board of Algebra and Number Theory, retrieved 2020-01-13.
^ Editorial Board of New York Journal of Mathematics, retrieved 2020-01-13.
^ List of Fellows of the American Mathematical Society, retrieved 2013-07-20.
^ Gross, Robert (2001). "Review: Diophantine geometry: an introduction, by M. Hindry and J. H. Silverman". Bull. Amer. Math. Soc. New Series. 38 (3): 379–381. doi:10.1090/s0273-0979-01-00907-7.
^ Buzzard, Kevin (1999). "Review: Modular forms and Fermat's Last Theorem, by G. Cornell, J. H. Silverman, and G. Stevens". Bull. Amer. Math. Soc. New Series. 36 (2): 261–266. doi:10.1090/s0273-0979-99-00778-8.
^ Cassels, J. W. S. (1987). "Review: The arithmetic of elliptic curves, by J. H. Silverman". Bull. Amer. Math. Soc. New Series. 17 (1): 148–149. doi:10.1090/s0273-0979-1987-15544-3.
^ ^a ^b Silverman, Joseph (2017). "Rational points on, and the arithmetic of, elliptic curves: A tale of two books (and an article)" (PDF). Bulletin of the American Mathematical Society. New Series. 54 (4): 591–594. doi:10.1090/bull/1542.
^ Benedetto, Robert L. (January 2009). "Review of The arithmetic of dynamical systems by Joseph H. Silverman" (PDF). Bull. Amer. Math. Soc. New Series. 46 (1): 157–164. doi:10.1090/s0273-0979-08-01216-0.

External links

This article about an American mathematician is a stub. You can help Wikipedia by expanding it.

[Bios2007-1] "Biographies of Candidates 2007" (PDF), Notices of the American Mathematical Society, 54 (8): 1043–1057, September 2007, retrieved 2009-05-25

[2] Brown University Mathematics Faculty, retrieved 2020-01-13.

[3] [1]

[4] MathSciNet author citations

[5] Editorial board of Algebra and Number Theory, retrieved 2020-01-13.

[6] Editorial Board of New York Journal of Mathematics, retrieved 2020-01-13.

[7] List of Fellows of the American Mathematical Society, retrieved 2013-07-20.

[8] Gross, Robert (2001). "Review: Diophantine geometry: an introduction, by M. Hindry and J. H. Silverman". Bull. Amer. Math. Soc. New Series. 38 (3): 379–381. doi:10.1090/s0273-0979-01-00907-7.

[9] Buzzard, Kevin (1999). "Review: Modular forms and Fermat's Last Theorem, by G. Cornell, J. H. Silverman, and G. Stevens". Bull. Amer. Math. Soc. New Series. 36 (2): 261–266. doi:10.1090/s0273-0979-99-00778-8.

[10] Cassels, J. W. S. (1987). "Review: The arithmetic of elliptic curves, by J. H. Silverman". Bull. Amer. Math. Soc. New Series. 17 (1): 148–149. doi:10.1090/s0273-0979-1987-15544-3.

[Taleoftwobooks-11] Silverman, Joseph (2017). "Rational points on, and the arithmetic of, elliptic curves: A tale of two books (and an article)" (PDF). Bulletin of the American Mathematical Society. New Series. 54 (4): 591–594. doi:10.1090/bull/1542.

[12] Benedetto, Robert L. (January 2009). "Review of The arithmetic of dynamical systems by Joseph H. Silverman" (PDF). Bull. Amer. Math. Soc. New Series. 46 (1): 157–164. doi:10.1090/s0273-0979-08-01216-0.

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

@@ Line 1: / Line 1: @@
-{{About|the mathematician|the American Reform rabbi|Joseph Silverman}}
+{{short description|American mathematician}}
+{{About|the mathematician|the American Hispanist scholar|Joseph H. Silverman (Hispanist)|the American Reform rabbi|Joseph Silverman}}
 {{Infobox scientist
 | name              = Joseph H. Silverman
@@ Line 9: / Line 10: @@
 | death_date        =
 | death_place       =
-| nationality       = {{flag|United States}}
+| nationality       = [[United States|American]]
 | fields            = [[Mathematics]]
 | workplaces        = [[Brown University]]
 | alma_mater        = [[Harvard University]]
-| doctoral_advisor  = [[John Tate]]
+| doctoral_advisor  = [[John Tate (mathematician)|John Tate]]
-| doctoral_students =
+| doctoral_students = [[Michelle Manes]]<br> [[Katherine E. Stange]]
 | known_for         =
 | awards            = [[Leroy P. Steele Prize]] (1998)
 }}
 '''Joseph Hillel Silverman''' (born March 27, 1955, [[New York City]])<ref name=Bios2007>
-{{Citation |date=September 2007 |title=Biographies of Candidates 2007 |journal=Notices of the American Mathematical Society |volume=54 |issue=8 |pages=1043–1057 |url=http://www.ams.org/notices/200708/tx070801043p.pdf |accessdate=2009-05-25 }}</ref>
+{{Citation |date=September 2007 |title=Biographies of Candidates 2007 |journal=Notices of the American Mathematical Society |volume=54 |issue=8 |pages=1043–1057 |url=https://www.ams.org/notices/200708/tx070801043p.pdf |access-date=2009-05-25 }}</ref> is a professor of mathematics at [[Brown University]]<ref>[https://www.brown.edu/academics/math/faculty Brown University Mathematics Faculty], retrieved 2020-01-13.</ref> working in [[arithmetic geometry]], [[arithmetic dynamics]], and [[cryptography]].
-is a professor of mathematics at [[Brown University]].  Joseph Silverman received an [[Bachelor of Science|Sc.B.]] from Brown University in 1977 and a [[Doctor of Philosophy|Ph.D.]] from [[Harvard University]] in 1982 under the direction of [[John Tate]].  He taught at [[Massachusetts Institute of Technology|M.I.T.]] (1982-1986) and at [[Boston University]] (1986-1988) before taking a position at Brown in 1988.
+==Biography==
-Silverman's work has been in [[number theory]], [[arithmetic geometry]], [[arithmetic dynamics]] and [[cryptography]].  He has published more than 100 research articles, written or coauthored six books, and edited three conference proceedings.
+Joseph Silverman received an [[Bachelor of Science|Sc.B.]] from Brown University in 1977 and a [[Doctor of Philosophy|Ph.D.]] from [[Harvard University]] in 1982 under the direction of [[John Tate (mathematician)|John Tate]].  He taught at [[Massachusetts Institute of Technology|M.I.T.]] (1982–1986) and at [[Boston University]] (1986–1988) before taking a position at Brown in 1988.<ref>[https://vivo.brown.edu/docs/j/johsilve_cv.pdf?dt=231315106]</ref>
+Silverman has published more than 100 research articles, written or coauthored six books, and edited three conference proceedings; his work has been cited more than 5000 times, by over 2000 distinct authors.<ref>[https://mathscinet.ams.org/mathscinet/2006/mathscinet/search/author.html?mrauthid=162205 MathSciNet author citations]</ref>  He has served on the editorial boards of [[Algebra and Number Theory]] and [[New York Journal of Mathematics]].<ref>[https://msp.org/ant/about/journal/editorial.html Editorial board of Algebra and Number Theory], retrieved 2020-01-13.</ref><ref>[http://nyjm.albany.edu/edboard.htm Editorial Board of New York Journal of Mathematics], retrieved 2020-01-13.</ref>
-In 1996, Silverman, along with [[Jeffrey Hoffstein]], [[Jill Pipher]] and [[Daniel Lieman]], founded [[NTRU Cryptosystems, Inc.]] to market their cryptographic algorithms, [[NTRUEncrypt]] and [[NTRUSign]].
+==Industry==
-In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-07-20.</ref>
+In 1996, Silverman, along with [[Jeffrey Hoffstein]], [[Jill Pipher]] and [[Daniel Lieman]], founded NTRU Cryptosystems, Inc. to market their cryptographic algorithms, [[NTRUEncrypt]] and [[NTRUSign]].
+==Awards==
+In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-07-20.</ref>
 ==Books==
-Silverman has written two graduate texts on elliptic curves, ''The Arithmetic of Elliptic Curves'' (1986) and ''Advanced Topics in the Arithmetic of Elliptic Curves'' (1994).  For these two books he received a [[Steele Prize]] for Mathematical Exposition from the [[American Mathematical Society]], which cited them by saying that “Silverman's volumes have become standard references on one of the most exciting areas of algebraic geometry and number theory.” Silverman has also written three undergraduate texts: ''Rational Points on Elliptic Curves'' (1992, co-authored with [[John Tate]]),  ''A Friendly Introduction to Number Theory'' (3rd ed. 2005), and  ''An Introduction to Mathematical Cryptography'' (2008, co-authored with [[Jeffrey Hoffstein]] and [[Jill Pipher]]). Additional graduate-level texts authored by Silverman are ''Diophantine Geometry: An Introduction'' (2000, co-authored with [[Marc Hindry]]) and ''The Arithmetic of Dynamical Systems'' (2007).
+Silverman has written two graduate texts on elliptic curves, ''The Arithmetic of Elliptic Curves'' (1986) and ''Advanced Topics in the Arithmetic of Elliptic Curves'' (1994).  For these two books he received a [[Steele Prize]] for Mathematical Exposition from the [[American Mathematical Society]], which cited them by saying that “Silverman's volumes have become standard references on one of the most exciting areas of algebraic geometry and number theory.” Silverman has also written three undergraduate texts: ''Rational Points on Elliptic Curves'' (1992, co-authored with [[John Tate (mathematician)|John Tate]]),  ''A Friendly Introduction to Number Theory'' (3rd ed. 2005), and  ''An Introduction to Mathematical Cryptography'' (2008, co-authored with [[Jeffrey Hoffstein]] and [[Jill Pipher]]). Additional graduate-level texts authored by Silverman are ''Diophantine Geometry: An Introduction'' (2000, co-authored with [[Marc Hindry]]) and ''The Arithmetic of Dynamical Systems'' (2007).
 ==Publications==
-*{{Citation |first2=M. |last2=Hindry |first=J. H. |last=Silverman |authormask=3 |title=Diophantine geometry: An introduction |isbn=0-387-98981-1 }}.<ref>{{cite journal|author=Gross, Robert|title=Review: ''Diophantine geometry: an introduction'', by M. Hindry and J. H. Silverman|journal=Bull. Amer. Math. Soc. (N.S.)|year=2001|volume=38|issue=3|pages=379–381|url=http://www.ams.org/journals/bull/2001-38-03/S0273-0979-01-00907-7/}}</ref>
+*{{Citation |first2=M. |last2=Hindry |first1=J. H. |last1=Silverman |author-mask=3 |title=Diophantine geometry: An introduction |date=23 March 2000 |publisher=Springer |isbn=0-387-98981-1 }}.<ref>{{cite journal|author=Gross, Robert|title=Review: ''Diophantine geometry: an introduction'', by M. Hindry and J. H. Silverman|journal=Bull. Amer. Math. Soc. |series=New Series|year=2001|volume=38|issue=3|pages=379–381|url=https://www.ams.org/journals/bull/2001-38-03/S0273-0979-01-00907-7/|doi=10.1090/s0273-0979-01-00907-7|doi-access=free}}</ref>
-*{{Citation |first2=M. |last2=Cornell |first2=G. |last3=Stevens |first3=G.|last=Silverman |authormask=3 |title=Modular forms and Fermat's Last Theorem |isbn=0-387-94609-8 }}.<ref>{{cite journal|author=Buzzard, Kevin|authorlink=Kevin Buzzard|title=Review: ''Modular forms and Fermat's Last Theorem'', by G. Cornell, J. H. Silverman, and G. Stevens|journal=Bull. Amer. Math. Soc. (N.S.)|year=1999|volume=36|issue=2|pages=261–266|url=http://www.ams.org/journals/bull/1999-36-02/S0273-0979-99-00778-8/}}</ref>
+*{{Citation |first2=G. |last2=Cornell |last3=Stevens |first3=G.|author-link3=Glenn H. Stevens|last1=Silverman |author-mask=3 |title=Modular forms and Fermat's Last Theorem |year=1997 |publisher=Springer |isbn=0-387-94609-8 }}.<ref>{{cite journal|author=Buzzard, Kevin|author-link=Kevin Buzzard|title=Review: ''Modular forms and Fermat's Last Theorem'', by G. Cornell, J. H. Silverman, and G. Stevens|journal=Bull. Amer. Math. Soc. |series=New Series|year=1999|volume=36|issue=2|pages=261–266|url=https://www.ams.org/journals/bull/1999-36-02/S0273-0979-99-00778-8/|doi=10.1090/s0273-0979-99-00778-8|doi-access=free}}</ref>
-*{{Citation |first2=J. |last2=Hoffstein |first3=J. |last3=Pipher |first=J. H. |last=Silverman |authormask=3 |title=An introduction to mathematical cryptography |isbn=978-0-387-77993-5 }}.
+*{{Citation |first2=J. |last2=Hoffstein |first3=J. |last3=Pipher |first1=J. H. |last1=Silverman |author-mask=3 |title=An introduction to mathematical cryptography |date=12 August 2008 |publisher=Springer |isbn=978-0-387-77993-5 }}.
-*{{Citation |first=J. H. |last=Silverman |authormask=3 |title=The arithmetic of elliptic curves |isbn=0-387-96203-4 }}.<ref>{{cite journal|author=Cassels, J. W. S.|authorlink=J. W. S. Cassels|title=Review: ''The arithmetic of elliptic curves'', by J. H. Silverman|journal=Bull. Amer. Math. Soc. (N.S.)|year=1987|volume=17|issue=1|pages=148–149|url=http://www.ams.org/journals/bull/1987-17-01/S0273-0979-1987-15544-3/}}</ref>
+*{{Citation |first=J. H. |last=Silverman |author-mask=3 |title=The arithmetic of elliptic curves |year=1986 |publisher=世界图书出版公司 |isbn=0-387-96203-4 }}.<ref>{{cite journal|author=Cassels, J. W. S.|author-link=J. W. S. Cassels|title=Review: ''The arithmetic of elliptic curves'', by J. H. Silverman|journal=Bull. Amer. Math. Soc. |series=New Series|year=1987|volume=17|issue=1|pages=148–149|url=https://www.ams.org/journals/bull/1987-17-01/S0273-0979-1987-15544-3/|doi=10.1090/s0273-0979-1987-15544-3|doi-access=free}}</ref><ref name=Taleoftwobooks>{{cite journal|author=Silverman, Joseph|title=Rational points on, and the arithmetic of, elliptic curves: A tale of two books (and an article)|journal=Bulletin of the American Mathematical Society |series=New Series|volume=54|issue=4|year=2017|pages=591–594|url=https://www.ams.org/journals/bull/2017-54-04/S0273-0979-2017-01542-X/S0273-0979-2017-01542-X.pdf|doi=10.1090/bull/1542|doi-access=free}}</ref> {{cite book|title=2nd edition|year=2009|isbn=9780387094946|url=https://books.google.com/books?id=Z90CA_EUCCkC|last1=Silverman|first1=Joseph H.|publisher=Springer }}
-*{{Citation |first=J. H. |last=Silverman |authormask=3 |title=Advanced topics in the arithmetic of elliptic curves |isbn=0-387-94328-5 }}.
+*{{Citation |first=J. H. |last=Silverman |author-mask=3 |title=Advanced topics in the arithmetic of elliptic curves |year=1994 |publisher=Springer |isbn=0-387-94328-5 }}.
+*{{Citation |first=J. H. |last=Silverman |author-mask=3 |title=The arithmetic of dynamical systems |date=5 May 2010 |publisher=Springer |isbn=978-0-387-69903-5 |url=https://books.google.com/books?id=siIu5PjyXk0C }}.<ref>{{cite journal|author=Benedetto, Robert L.|title=Review of ''The arithmetic of dynamical systems'' by Joseph H. Silverman|journal=Bull. Amer. Math. Soc. |series=New Series|date=January 2009|volume=46|issue=1|pages=157–164|url=https://www.ams.org/journals/bull/2009-46-01/S0273-0979-08-01216-0/S0273-0979-08-01216-0.pdf|doi=10.1090/s0273-0979-08-01216-0|doi-access=free}}</ref>
-*{{Citation |first=J. H. |last=Silverman |authormask=3 |title=The arithmetic of dynamical systems |isbn=978-0-387-69903-5 }}.
-*{{Citation |first=J. H. |last=Silverman |authormask=3 |title=A friendly introduction to number theory |isbn=978-0-13-186137-4 }}.
+*{{Citation |first=J. H. |last=Silverman |author-mask=3 |title=A friendly introduction to number theory |year=2006 |publisher=Pearson Prentice Hall |isbn=978-0-13-186137-4 }}.
-*{{Citation |first2=J. |last2=Tate |first=J. H. |last=Silverman |authormask=3 |title=Rational points on elliptic curves |isbn=0-387-97825-9 }}.
+*{{Citation |first2=J. |last2=Tate |first1=J. H. |last1=Silverman |author-mask=3 |title=Rational points on elliptic curves |date=18 November 1994 |publisher=Springer |isbn=0-387-97825-9 }}. {{cite book|title=2nd edition|year=2015|isbn=9783319185880|url=https://books.google.com/books?id=2_PLCQAAQBAJ|last1=Silverman|first1=Joseph H.|last2=Tate|first2=John T.|publisher=Springer }}<ref name=Taleoftwobooks/>
 ==Notes==
@@ Line 46: / Line 51: @@
 ==External links==
 * {{MathGenealogy |id=4597}}
-*[http://math.brown.edu/~jhs/ Joseph Silverman's home page]
+*[https://web.archive.org/web/20060421020742/http://www.math.brown.edu/~jhs/ Joseph Silverman's home page]
-*[http://www.ams.org/notices/199804/comm-steele-prizes.pdf/ 1998 Steele Prizes awarded by the American Mathematical Society]
+*[https://www.ams.org/notices/199804/comm-steele-prizes.pdf 1998 Steele Prizes awarded by the American Mathematical Society]
-{{Authority control|VIAF=32062058}}
+{{Authority control}}
-{{Persondata
-| NAME              = Silverman, Joseph H.
-| ALTERNATIVE NAMES =
-| SHORT DESCRIPTION = American mathematician
-| DATE OF BIRTH     = March 27, 1955
-| PLACE OF BIRTH    = [[New York City]]
-| DATE OF DEATH     =
-| PLACE OF DEATH    =
-}}
 {{DEFAULTSORT:Silverman, Joseph H.}}
 [[Category:Living people]]
 [[Category:1955 births]]
-[[Category:American mathematicians]]
+[[Category:20th-century American mathematicians]]
-[[Category:Number theorists]]
+[[Category:21st-century American mathematicians]]
+[[Category:Arithmetic geometers]]
 [[Category:Brown University alumni]]
 [[Category:Harvard University alumni]]
 [[Category:Brown University faculty]]
-[[Category:20th-century mathematicians]]
-[[Category:21st-century mathematicians]]
 [[Category:Fellows of the American Mathematical Society]]
+[[Category:Massachusetts Institute of Technology School of Science faculty]]
-[[Category:Guggenheim Fellows]]

Authority control databases
International	ISNI VIAF WorldCat
National	Norwegen Spanien Frankreich BnF data Catalonia Deutschland Italien Israel Vereinigte Staaten Lettland Japan Tschechische Republik Australien Korea Niederlande Polen
Academics	CiNii DBLP MathSciNet Mathematics Genealogy Project ORCID zbMATH
Menschen	Trove
Other	SNAC IdRef