Robert S. Doran

Robert S. Doran
Born	(1937-12-21)December 21, 1937 Winthrop, Iowa
Fields	Operator Algebras Functional Analysis
Institutions	Texas Christian University Massachusetts Institute of Technology University of Oxford Institute for Advanced Study
Alma mater	University of Iowa University of Washington
Doctoral advisor	J. M. G. Fell Ramesh Gangolli
Doctoral students	A. Wayne Tiller Jerry Fields Josef Wichmann Ronald Morgan

Robert Stuart Doran (born December 21, 1937) is an American mathematician. He holds the John William and Helen Stubbs Potter Professorship in mathematics at Texas Christian University, where he has served as the chair of the mathematics department for 21 years.^[1] He has also held visiting appointments at the Massachusetts Institute of Technology, the University of Oxford, and the Institute for Advanced Study. He was elected to the Board of Trustees of the Association of Members of the Institute for Advanced Study, serving as president of the organization for 10 years.^[2][3] He has been an editor for the Encyclopedia of Mathematics and its Applications, Cambridge University Press since 1988.^[4] Doran is known for his solution of a long-standing open problem due to Irving Kaplansky on a symmetric *-algebra.^[5]

Personal background

Robert Stuart Doran was born on December 21, 1937 in Winthrop, Iowa.^[6] In 1959, he married Shirley Ann Lange. They have two sons, Bruce and Brad.

Military service

In 1956, Doran served in the 82nd Airborne Division at Fort Bragg, North Carolina. He served as a Special Forces Instructor at the US Army Jungle Survival Center at Fort Sherman in Colón, Panama.^[7] He left active duty in the military in 1958 and he served in the US Army reserves until 1964 when he was honorably discharged.

Educational background

Doran studied mathematics at the University of Iowa from 1959 until 1964, earning a Bachelor's degree and a Master of Science degree. He received a Ph.D in mathematics from the University of Washington in 1968, under the direction of J. M. G. Fell and Ramesh Gangolli.^[8] His doctoral dissertation,^[9][10] titled Representations of C*-algebras by Uniform CT-bundles and Operator Theory, dealt with topological representations in spaces of cross-sections of fiber bundles of a non-commutative C*-algebra. This work was motivated in part by the classical Gelfand-Naimark theorem for C*-algebras and by work of M. Takesaki and J. Tomiyama.^[11][12]

Professional background

Doran is The John William and Helen Stubbs Potter Professor of Mathematics at Texas Christian University. He presently is the faculty sponsor of the TCU chapter of Campus Crusade for Christ, now known as Cru.

He has held visiting appointments at the Massachusetts Institute of Technology (1980), Oxford University in England (1988), and the Institute for Advanced Study (1981).^[13] His areas of research involve representation theory, C*-algebra characterizations, the notion of an approximate identity in a Banach algebra, and Banach bundle theory.^[14][15]

Doran teaches at both the undergraduate and graduate levels. In 1988 he published an article titled “A care package for undergraduate mathematics students” that outlines his teaching methods.^[16] He has received national, statewide, and local awards for his teaching.^[17][18]

Doran was chair of the TCU Mathematics Department for 21 years (1990–2011). In 1986 he was elected to the Board of Trustees of AMIAS, the Association of Members of the Institute for Advanced Study.^[19] He was president of AMIAS for 10 years (1990-1999). Doran has been an editor for Cambridge University Press since 1988.^[20] He has also organized American Mathematical Society special sessions and conferences for CBMS, the Conference Board of the Mathematical Sciences. His first such conference was held at TCU in 1970 with Paul Halmos as principal speaker.^[21] The most recent CBMS Conference was held at TCU, June 2011 with Phillip Griffiths, former Director of the Institute for Advanced Study as principal speaker.

Doran is known for his solution^[22] of a long-standing unsolved problem on a symmetric *-algebra left open by Irving Kaplansky in the Duke Mathematical Journal in 1949.^[23]

Published works

Doran has published books, articles, and reviews on a variety of topics, often collaborating with other mathematicians, including J. M. G. Fell, Richard Kadison, Calvin Moore, Jonathan Rosenberg, Paul Sally, Robert Zimmer, and V. S. Varadarajan.

Books

• Approximate identities and factorization in Banach modules, vol. 768, (with J. Wichmann), Springer-Verlag, Berlin Heidelberg New York 1979. ISBN 3-540-09725-2
• Characterization of C*-algebras: The Gelfand–Naimark Theorems, vol. 101, (with V. Belfi), Marcel-Dekker, 1986. ISBN 0-8247-7569-4
• Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles,125, vol. I, (with J. M. G. Fell),Academic Press, 1988. ISBN 0-12-252721-6^[24]
• Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles, 126, vol. II, (with J. M. G. Fell), Academic Press, 1988. ISBN 0-12-252722-4^[24]
• Self-adjoint and non-self-adjoint operator algebras and operator theory, (ed.) vol. 120, Contemporary Mathematics,American Mathematical Society, 1990. ISBN 0-8218-5127-6
• C*-algebras: 1943–1993 (A fifty year celebration), (ed.) vol. 120, Contemporary Mathematics,American Mathematical Society, 1994. ISBN 0-8218-5175-6
• Automorphic forms, automorphjic representations and arithmetic. I. (ed. with Z. Dou and G.Gilbert), 66, vol. 1, Symposia for Pure Mathematics, American Mathematical Society, 1999. ISBN 0-8218-1050-2
• Automorphic forms, automorphjic representations and arithmetic. II. (ed. with Z. Dou and G.Gilbert), 66, vol. 2, Symposia forPure Mathematics, American Mathematical Society, 1999. ISBN 0-8218-1051-0
• The mathematical legacy of Harish-Chandra: A celebration of representation theory and harmonic analysis, (ed. with V. S. Varadarajan), vol. 68,Symposia for Pure Mathematics, American Mathematical Society, 2000. ISBN 0-8218-1197-5
• Operator algebras, quantization, and non-commutative geometry, (ed. with R. V. Kadison), vol. 365, Contemporary Mathematics, American Mathematical Society, 2004. ISBN 0-8218-3402-9
• Group representations, ergodic theory and mathematical physics, (ed. with C. C Moore and R. J.Zimmer), vol. 449, Contemporary Mathematics, American Mathematical Society, 2008. ISBN 978-0-8218-4225-6
• Superstrings, geometry, topology, and C*-algebras, (ed. with G. Friedman and J. Rosenberg), vol. 81, Symposia for Pure Mathematics,American Mathematical Society, 2010. ISBN 978-0-8218-4887-6
• Harmonic analysis and reductive p-adic groups, (ed. with P. J. Sally and L. Spice), vol. 543, Contemporary Mathematics, American Mathematical Society, 2011. ISBN 978-0-8218-4985-9
• Hodge theory, complex geometry, and representation theory, (ed. with G. Friedman and S.Nollet), vol. 608, American Mathematical Society in 2014. ISBN 978-0-8218-9415-6

In addition to research articles and books, Doran has published nearly 400 reviews for the Mathematical Reviews.^[25]

Honors and awards

• 1989 National CASE-Carnegie Gold Medalist for outstanding teaching (awarded by CASE, the Council for Advancement and Support of Education based in Washington DC). He and ten others received this award.^[26][27]
• 1989 CASE-Carnegie Texas Professor of the Year (awarded by CASE)^[28]
• 1992 Texas MAA Professor of the Year (awarded by MAA, the Mathematical Association of America).^[29]
• 1993 TCU Honors Professor of the Year (awarded by the TCU Honors College)^[30]
• 1989 Piper Professor (Texas state-wide award; given by the Minnie Stevens Piper Foundation, San Antonio,Texas)^[31][32]
• 1988 Chancellor’s Award at TCU for Distinguished Teaching, the top faculty honor at TCU^[33]
• 1986 Burlington Northern Faculty Achievement Award, awarded by the Burlington Northern Corporation^[34]

References

External links

• http://faculty.tcu.edu/doran/
• http://www.endeavors.tcu.edu/spring2010/default.asp?pid=3
• http://www.unige.ch/math/EnsMath/EM_MONO/m36.html