Robert Bryant (mathematician): Difference between revisions

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{{Use mdy dates|date=May 2015}}
{{Use mdy dates|date=May 2015}}
{{Infobox scientist
{{Infobox scientist
| name = Robert L. Bryant
| name = Robert L. Bryant
| image = Robert Bryant.jpg
| image = Robert Bryant.jpg
| caption = Bryant at [[Mathematical Research Institute of Oberwolfach|Oberwolfach]] in 2007
| caption = Bryant at [[Mathematical Research Institute of Oberwolfach|Oberwolfach]] in 2007
| birth_name = Robert Leamon Bryant
| birth_name = Robert Leamon Bryant
| birth_date = {{birth date and age|1953|08|30}}
| birth_date = {{birth date and age|1953|08|30}}
| birth_place = [[Kipling, North Carolina]], U.S.
| birth_place = [[Kipling, North Carolina]], U.S.
| nationality = [[United States|American]]
| nationality = [[United States|American]]
| alma_mater = [[North Carolina State University at Raleigh]]<br />[[University of North Carolina at Chapel Hill]]
| alma_mater = [[North Carolina State University at Raleigh]]<br />[[University of North Carolina at Chapel Hill]]
| doctoral_advisor = [[Robert Brown Gardner]]
⚫
| field = Mathematics
| doctoral_advisor = [[Robert Brown Gardner]]
| doctoral_students = [[Jeanne N. Clelland]]
| known_for = [[Bryant surface]]<br>[[Ricci flow#Ricci soliton|Byant soliton]]
| thesis_title = Some Aspects of the Local and Global Theory of Pfaffian Systems
| thesis_title = Some Aspects of the Local and Global Theory of Pfaffian Systems
| thesis_year = 1979
| thesis_year = 1979
⚫
| workplaces = [[Duke University]]<br />[[University of California at Berkeley]]<br />[[Rice University]]<br />[[Mathematical Sciences Research Institute]]
⚫
| fields = [[Mathematics]]
⚫
| website = {{URL|http://fds.duke.edu/db/aas/math/bryant}}
⚫
| workplaces = [[Duke University]]<br />[[University of California at Berkeley]]<br />[[Rice University]]<br />[[Mathematical Sciences Research Institute]]
| awards = [[Sloan Research Fellowship]], 1982
⚫
| website = {{URL|http://fds.duke.edu/db/aas/math/bryant}}
}}
}}
[[File:BoysSurfaceTopView.PNG|thumb|Robert Bryant, working with R. Kusner, found this [[parameterization]] of [[Boy's surface]] which minimizes the [[Willmore energy]]]]
[[File:BoysSurfaceTopView.PNG|thumb|Robert Bryant, working with R. Kusner, found this [[parameterization]] of [[Boy's surface]] which minimizes the [[Willmore energy]]]]
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== Research ==
== Research ==
Bryant's research interests cover many areas in [[Riemannian geometry]], [[Partial differential equation|geometry of PDEs]] and [[mathematical physics]]. In particular, he is known for his works in [[differential system|exterior differential systems]],<ref>{{Cite book|last=Bryant|first=Robert L.|url=http://link.springer.com/10.1007/978-1-4613-9714-4|title=Exterior Differential Systems|last2=Chern|first2=S. S.|last3=Gardner|first3=Robert B.|last4=Goldschmidt|first4=Hubert L.|last5=Griffiths|first5=P. A.|date=1991|publisher=Springer New York|isbn=978-1-4613-9716-8|series=Mathematical Sciences Research Institute Publications|volume=18|location=New York, NY|doi=10.1007/978-1-4613-9714-4}}</ref> [[holonomy|special holonomy]]<ref>{{Cite journal|last=Bryant|first=Robert L.|date=1987|title=Metrics with Exceptional Holonomy|url=https://www.jstor.org/stable/1971360|journal=Annals of Mathematics|volume=126|issue=3|pages=525–576|doi=10.2307/1971360|issn=0003-486X}}</ref>, and [[Finsler geometry]].
Bryant's research interests cover many areas in [[Riemannian geometry]], [[Partial differential equation|geometry of PDEs]] and [[mathematical physics]].


In particular, he is known for his works in [[differential system|exterior differential systems]], [[holonomy|special holonomy]], and [[Finsler geometry]]. [[Bryant surface]]s, surfaces of unit constant [[mean curvature]] in [[hyperbolic space]], are named after him.<ref>{{citation|last=Rosenberg|first=Harold|title=The global theory of minimal surfaces in flat spaces (Martina Franca, 1999)|volume=1775|pages=67–111|year=2002|series=Lecture Notes in Math.|contribution=Bryant surfaces|location=Berlin|publisher=Springer|doi=10.1007/978-3-540-45609-4_3|mr=1901614}}.</ref> The [[Ricci flow|Bryant soliton]] is also named after him.<ref name="homepage" />
In 1987 he proved several properties of surfaces of unit constant [[mean curvature]] in [[hyperbolic space]], which are now called [[Bryant surface]]s in his honour.<ref>{{Cite journal|last=Bryant|first=Robert|date=1987|title=Surfaces of mean curvature one in hyperbolic space|url=http://www.numdam.org/item/?id=AST_1987__154-155__321_0|journal=[[Astérisque]]|volume=154-155|pages=27|zbl=0635.53047}}</ref> The [[Ricci flow|Bryant soliton]] is also named after him.<ref name="homepage" />


He is author of 7 books and more than 60 papers,<ref>{{Cite web|title=MR: Bryant, Robert L. - 42675|url=https://mathscinet.ams.org/mathscinet/MRAuthorID/42675|access-date=2021-08-06|website=mathscinet.ams.org}}</ref><ref>{{Cite web|title=Publications of Robert L. Bryant|url=https://www.msri.org/people/staff/bryant/RLBpubs.html|access-date=2021-08-06|website=www.msri.org}}</ref> and he has supervised 26 PhD students.<ref name=":0" />
He is author of 7 books and more than 60 papers,<ref>{{Cite web|title=MR: Bryant, Robert L. - 42675|url=https://mathscinet.ams.org/mathscinet/MRAuthorID/42675|access-date=2021-08-06|website=mathscinet.ams.org}}</ref><ref>{{Cite web|title=Publications of Robert L. Bryant|url=https://www.msri.org/people/staff/bryant/RLBpubs.html|access-date=2021-08-06|website=www.msri.org}}</ref> and he has supervised 26 PhD students.<ref name=":0" />
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* editor with David Bao, [[S. S. Chern]], Zhongmin Shen: ''A sampler of Riemann-Finsler Geometry'', Cambridge University Press 2004
* editor with David Bao, [[S. S. Chern]], Zhongmin Shen: ''A sampler of Riemann-Finsler Geometry'', Cambridge University Press 2004
* ''Bochner-Kähler metrics'', Journal of the American Mathematical Society, vol. 14 no. 3, 2001, pp.&nbsp;623–715 {{arxiv|math/0003099}}
* ''Bochner-Kähler metrics'', Journal of the American Mathematical Society, vol. 14 no. 3, 2001, pp.&nbsp;623–715 {{arxiv|math/0003099}}
* with Robert Brown Gardner, [[S. S. Chern]], H. L. Goldschmidt, [[Phillip Griffiths]]: ''Exterior Differential Systems'', MSRI Publ. 18, Springer Verlag 1991
*with Robert Brown Gardner, [[S. S. Chern]], H. L. Goldschmidt, [[Phillip Griffiths]]: ''Exterior Differential Systems'', MSRI Publ. 18, Springer Verlag 1991
* with Phillip Griffiths, Dan Grossmann: ''Exterior Differential Systems and Euler-Lagrange Partial Differential Equations'', Chicago Lectures in Mathematics, University of Chicago Press 2003<ref>{{cite journal |author=Olver, Peter J. |author-link=Peter J. Olver |title=Review: ''Exterior differential systems and Euler-Lagrange partial differential equations'', by R. L. Bryant, P. A Griffiths, and D. A. Grossman |journal=Bull. Amer. Math. Soc. (N.S.) |year=2005 |volume=42 |issue=3 |pages=407–412 |url=https://www.ams.org/journals/bull/2005-42-03/S0273-0979-05-01062-1/S0273-0979-05-01062-1.pdf |doi=10.1090/s0273-0979-05-01062-1|doi-access=free }}</ref>
*with Phillip Griffiths, Dan Grossmann: ''Exterior Differential Systems and Euler-Lagrange Partial Differential Equations'', Chicago Lectures in Mathematics, University of Chicago Press 2003<ref>{{cite journal |author=Olver, Peter J. |author-link=Peter J. Olver |title=Review: ''Exterior differential systems and Euler-Lagrange partial differential equations'', by R. L. Bryant, P. A Griffiths, and D. A. Grossman |journal=Bull. Amer. Math. Soc. (N.S.) |year=2005 |volume=42 |issue=3 |pages=407–412 |url=https://www.ams.org/journals/bull/2005-42-03/S0273-0979-05-01062-1/S0273-0979-05-01062-1.pdf |doi=10.1090/s0273-0979-05-01062-1|doi-access=free }}</ref>
* editor with [[Victor Guillemin]], [[Sigurdur Helgason (mathematician)|Sigurdur Helgason]], R. O. Wells: ''Integral Geometry'', Contemporary Mathematics 63, AMS 1987
*editor with [[Victor Guillemin]], [[Sigurdur Helgason (mathematician)|Sigurdur Helgason]], R. O. Wells: ''Integral Geometry'', Contemporary Mathematics 63, AMS 1987
* ''Metrics with exceptional holonomy'', Annals of Mathematics, vol. 126, 1987, pp.&nbsp;525–567
* ''Metrics with exceptional holonomy'', Annals of Mathematics, vol. 126, 1987, pp.&nbsp;525–567
* ''An introduction to Lie groups and symplectic geometry'', in ''Geometry and quantum field theory'', IAS/Park City Math. Series 1, American Mathematical Society 1995, pp.&nbsp;5–181
* ''An introduction to Lie groups and symplectic geometry'', in ''Geometry and quantum field theory'', IAS/Park City Math. Series 1, American Mathematical Society 1995, pp.&nbsp;5–181
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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:Differential geometers]]
[[Category:1953 births]]
[[Category:Living people]]
[[Category:Living people]]
[[Category:Differential geometers]]
[[Category:Members of the United States National Academy of Sciences]]
[[Category:Members of the United States National Academy of Sciences]]
[[Category:Fellows of the American Academy of Arts and Sciences]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Presidents of the American Mathematical Society]]
[[Category:Presidents of the American Mathematical Society]]
[[Category:1953 births]]
[[Category:Mathematicians from North Carolina]]
[[Category:Mathematicians from North Carolina]]
[[Category:LGBT scientists from the United States]]
[[Category:LGBT scientists from the United States]]
[[Category:LGBT mathematicians]]
[[Category:LGBT mathematicians]]
[[Category:University of North Carolina at Chapel Hill alumni]]
[[Category:Sloan Research Fellows]]
[[Category:Rice University faculty]]
[[Category:Duke University faculty]]
[[Category:University of California, Berkeley faculty]]

Revision as of 21:09, 7 August 2021

Robert L. Bryant
Bryant at Oberwolfach in 2007
Born
Robert Leamon Bryant

(1953-08-30) August 30, 1953 (age 70)
Kipling, North Carolina, U.S.
NationalityAmerican
Alma materNorth Carolina State University at Raleigh
University of North Carolina at Chapel Hill
Known forBryant surface
Byant soliton
AwardsSloan Research Fellowship, 1982
Scientific career
FieldsMathematics
InstitutionsDuke University
University of California at Berkeley
Rice University
Mathematical Sciences Research Institute
Thesis Some Aspects of the Local and Global Theory of Pfaffian Systems  (1979)
Doctoral advisorRobert Brown Gardner
Doctoral studentsJeanne N. Clelland
Websitefds.duke.edu/db/aas/math/bryant
Robert Bryant, working with R. Kusner, found this parameterization of Boy's surface which minimizes the Willmore energy

Robert Leamon Bryant (born August 30, 1953, Kipling) is an American mathematician and Phillip Griffiths Professor of Mathematics at Duke University.[1] He specializes in differential geometry.

Education and career

Bryant obtained a bachelor's degree at North Caroline State University at Raleigh in 1974 and a PhD at University of North Carolina at Chapel Hill. His thesis was entitled "Some Aspects of the Local and Global Theory of Pfaffian Systems" and was written under the supervision of Robert Gardner.[2]

He worked at Rice University for seven years, as assistant professor (1979-1981), associate professor (1981-1982) and full professor (1982-1986). He then moved to Duke University, where he worked for twenty years as J. M. Kreps Professor. Since 2007 he is professor at University of California at Berkeley.

Bryant was awarded in 1982 a Sloan Research Fellowship.[3] In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley.[4]

He was elected in 2002 a fellow of the American Academy of Arts and Sciences[5], in 2007 a member of the National Academy of Sciences[6] and in 2013 a fellow of the American Mathematical Society.[7]

Bryant served as the director of the Mathematical Sciences Research Institute (MSRI) from 2007 to 2013[8] and as the president of the American Mathematical Society for the 2-years term 2015-2016.[9][10]

Bryant is on the board of directors of EDGE, a transition program for women entering graduate studies in the mathematical sciences.[11] He is also a board member of Spectra, an association for LGBT mathematicians.[12]

Research

Bryant's research interests cover many areas in Riemannian geometry, geometry of PDEs and mathematical physics. In particular, he is known for his works in exterior differential systems,[13] special holonomy[14], and Finsler geometry.

In 1987 he proved several properties of surfaces of unit constant mean curvature in hyperbolic space, which are now called Bryant surfaces in his honour.[15] The Bryant soliton is also named after him.[1]

He is author of 7 books and more than 60 papers,[16][17] and he has supervised 26 PhD students.[2]

Selected publications

  • editor with David Bao, S. S. Chern, Zhongmin Shen: A sampler of Riemann-Finsler Geometry, Cambridge University Press 2004
  • Bochner-Kähler metrics, Journal of the American Mathematical Society, vol. 14 no. 3, 2001, pp. 623–715 arXiv:math/0003099
  • with Robert Brown Gardner, S. S. Chern, H. L. Goldschmidt, Phillip Griffiths: Exterior Differential Systems, MSRI Publ. 18, Springer Verlag 1991
  • with Phillip Griffiths, Dan Grossmann: Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, Chicago Lectures in Mathematics, University of Chicago Press 2003[18]
  • editor with Victor Guillemin, Sigurdur Helgason, R. O. Wells: Integral Geometry, Contemporary Mathematics 63, AMS 1987
  • Metrics with exceptional holonomy, Annals of Mathematics, vol. 126, 1987, pp. 525–567
  • An introduction to Lie groups and symplectic geometry, in Geometry and quantum field theory, IAS/Park City Math. Series 1, American Mathematical Society 1995, pp. 5–181
  • with Lucas Hsu, Phillip Griffiths: Hyperbolic exterior differential systems and their conservation laws, Parts 1,2, Selecta Mathematica, 1, 1995, 21-112, 265-323
  • with Griffiths: Characteristic Cohomology of Differential Systems, Parts 1,2, Journal of the AMS, vol. 8, 1995, pp. 507–596, Duke Math. J., vol. 78, 1995, pp. 531–676
  • with Hsu, Griffiths: Toward a Geometry of Differential Equations, in: Geometry, Topology & Physics, Conf. Proc. Lecture Notes Geom. Topology, VI, International Press, Cambridge, MA, 1995, pp. 1–76

Bryant and David Morrison are the editors of vol. 4 of the Selected Works of Phillip Griffiths.

References

  1. ^ a b http://fds.duke.edu/db/aas/math/faculty/bryant
  2. ^ a b "Robert Bryant - The Mathematics Genealogy Project". www.mathgenealogy.org. Retrieved August 6, 2021.
  3. ^ "Past Fellows | Alfred P. Sloan Foundation". sloan.org. Retrieved August 6, 2021.
  4. ^ Gleason, Andrew, ed. (1987). Proceedings of the International Congress of Mathematician 1986 (PDF). Berkley. p. 505.{{cite book}}: CS1 maint: location missing publisher (link)
  5. ^ "Robert L. Bryant". American Academy of Arts & Sciences. Retrieved August 6, 2021.
  6. ^ "Robert L. Bryant". www.nasonline.org. Retrieved August 6, 2021.
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
  8. ^ "Biography: Robert Bryant". MSRI. 2008. Archived from the original on September 17, 2009.
  9. ^ "Bryant Begins Term as AMS President". American Mathematical Society, Homepage. February 3, 2015.
  10. ^ "AMS Presidents: Robert Bryant". American Mathematical Society. Retrieved August 6, 2021.
  11. ^ "Board of Directors". EDGE Foundation. Retrieved August 6, 2021.{{cite web}}: CS1 maint: url-status (link)
  12. ^ "Spectra". Retrieved September 30, 2019.
  13. ^ Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A. (1991). Exterior Differential Systems. Mathematical Sciences Research Institute Publications. Vol. 18. New York, NY: Springer New York. doi:10.1007/978-1-4613-9714-4. ISBN 978-1-4613-9716-8.
  14. ^ Bryant, Robert L. (1987). "Metrics with Exceptional Holonomy". Annals of Mathematics. 126 (3): 525–576. doi:10.2307/1971360. ISSN 0003-486X.
  15. ^ Bryant, Robert (1987). "Surfaces of mean curvature one in hyperbolic space". Astérisque. 154–155: 27. Zbl 0635.53047.
  16. ^ "MR: Bryant, Robert L. - 42675". mathscinet.ams.org. Retrieved August 6, 2021.
  17. ^ "Publications of Robert L. Bryant". www.msri.org. Retrieved August 6, 2021.
  18. ^ Olver, Peter J. (2005). "Review: Exterior differential systems and Euler-Lagrange partial differential equations, by R. L. Bryant, P. A Griffiths, and D. A. Grossman" (PDF). Bull. Amer. Math. Soc. (N.S.). 42 (3): 407–412. doi:10.1090/s0273-0979-05-01062-1.

External links

Retrieved from "https://en.wikipedia.org/w/index.php?title=Robert_Bryant_(mathematician)&oldid=1037647279"