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Burton Rodin

From Wikipedia, the free encyclopedia
Burton Rodin
Alma materUniversity of California, Los Angeles
Known forThurston conjecture for circle packings
AwardsFellow of the American Mathematical Society (2012)
Scientific career
FieldsMathematics
InstitutionsUniversity of California, San Diego
Thesis Reproducing Formulas on Riemann Surfaces  (1961)
Doctoral advisorLeo Sario

Burton Rodin is an American mathematician known for his research in conformal mappings and Riemann surfaces. He is a professor emeritus at the University of California, San Diego.

Education

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Rodin received a Ph.D. at the University of California, Los Angeles in 1961. His thesis, titled Reproducing Formulas on Riemann Surfaces, was written under the supervision of Leo Sario.[1]

Career

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He was a professor at the University of California, San Diego from 1970 to 1994. He was chair of the Mathematics Department from 1977 to 1981, and became professor emeritus in June 1994.[2]

Research

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Rodin's 1968 work on extremal length of Riemann surfaces, together with an observation of Mikhail Katz, yielded the first systolic geometry inequality for surfaces independent of their genus.[3][4]

In 1980, Rodin and Stefan E. Warschawski solved the Visser–Ostrowski problem for derivatives of conformal mappings at the boundary.[5] In 1987 he proved the Thurston conjecture for circle packings, jointly with Dennis Sullivan.[6]

Awards and honors

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In 2012, Rodin was elected fellow of the American Mathematical Society.[7]

Selected books

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  • B. Rodin and L. Sario, Principal Functions, D. Van Nostrand Co., Princeton, N.J., 1968, 347 pages.
  • B. Rodin, Calculus and Analytic Geometry, Prentice-Hall, Inc. Englewood Cliffs, N.J., 1970, 800 pages.

References

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  1. ^ "Burton Rodin - The Mathematics Genealogy Project". www.genealogy.ams.org.
  2. ^ "Department history". UCSD Mathematics Department. Retrieved 2024-04-10. See list of department chairs, and changes in personnel 1993-1994
  3. ^ "Website for systolic geometry and topology". www.cs.biu.ac.il.
  4. ^ The method of extremal length: invited hour address presented at the 705th meeting of the American Mathematical Society. Bull. Amer. Math. Soc. 80, 1974, 587–606
  5. ^ B. Rodin and S. E. Warschawski, “On the derivative of the Riemann mapping function near a boundary point and the Visser-Ostrowski problem”, Mathematische Annalen, 248, (1980), 125–137.
  6. ^ B. Rodin and D. Sullivan, “The convergence of circle packings to the Riemann mapping”, Journal of Differential Geometry, 26 (1987), 349–360.
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
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