Donal O'Shea

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Donal O'Shea

Donal Bartholomew O'Shea (* 1952 in Canada ) is a Canadian-American mathematician who studies algebraic geometry .

O'Shea attended Harvard University until 1974 (bachelor's degree) and obtained his master's degree (An Exposition of catastrophe theory and its applications to phase transitions) at Queen's University in Kingston (Ontario) in 1977, where he graduated in 1981 received his doctorate from Albert Coleman (On μ-Equivalent Families of Singularities). From 1980 he was Assistant Professor at Mount Holyoke College , from 1986 Associate Professor and from 1991 Professor and from 1990 to 1993 he was director of the Five Colleges Regional Geometry Institute. From 1993 to 1996 he was the Faculty of Mathematics at Mount Holyoke and from 1996 was Elizabeth T. Kennan Professor . From 1998 to 2012 he was Dean of the Mathematics Faculty and Vice President for Academic Affairs (2015). He has been President of the New College of Florida since 2012 .

He deals with the theory of singularities of real and complex hypersurfaces and computational methods of algebraic geometry. He also worked on algorithms for the detection of polyps in the intestine in computed tomography, functional computed tomography of the human brain and mathematics education. His thesis was on the classification of phase diagrams of statistical mechanics with catastrophe theory .

He was visiting scholar at the University of Cambridge (2011), the University of Edinburgh (2005), the University of Miami (2004), the University of Kaiserslautern (1988/89), the University of Hawaii in Manoa (1997/98, 1991 / 92), the University of Massachusetts at Amherst (1984/85) and the IHES (1983/84).

In 2016 he was awarded the American Mathematical Society's Leroy P. Steele Prize for Mathematical Exposition, along with David A. Cox and John B. Little for their introductory textbooks on algebraic geometry.

O'Shea also wrote a popular book about solving the Poincare conjecture by Grigori Perelman and its history that the Peano Prize was awarded (2008). He also translates from Russian (for the AMS) and French.

He is a Canadian, Irish, and US citizen.

O'Shea is married and has four children.

Fonts

Books:

  • An Exposition of catastrophe theory and its applications to phase transitions, Queen's Papers in Pure and Applied Mathematics, 47, 1977 (introduction by Albert J. Coleman)
  • with David Cox, John Little: Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra, 4th edition, Springer Verlag 2015
  • with David A. Cox, John Little: Using algebraic geometry , 2nd edition, Springer Verlag 2005
  • with J. Callahan, D. Cox, K. Hoffman, H. Pollatsek, L. Senechal: Calculus in Context , New York: WH Freeman, 1995 (Instructors' Manual 1996).
  • An Introduction to Dynamical Systems and Mathematical Modeling , Stony Brook: Sloan NLA Monographs, 1992
  • with JW Bruce and Mount Holyoke College Math Department, Laboratories in Mathematical Experimentation: A Bridge to Higher Mathematics , New York: Springer Verlag, 1997
  • Poincaré's Conjecture: The Story of a Mathematical Adventure , S. Fischer 2007

Some essays:

  • Computing Invariants of Hypersurface Singularities, in S. Sertöz (Ed.), Algebraic Geometry, Marcel Dekker 1997, pp. 296-347
  • Limits of Tangent Spaces: Effective Computation in Singularity Theory, in DTLê, K. Saito, B. Teissier (Eds.), Singularity Theory, Cambridge: World Scientific Publishing, 1995, pp. 549-573
  • with PJ Giblin: The bitangent sphere problem, Amer. Math. Monthly, Vol. 97, 1990, pp. 5-23.

Web links

Individual evidence

  1. CV of O´ Shea at the New College of Florida ( Memento of the original from November 17, 2015 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.  @1@ 2Template: Webachiv / IABot / www.ncf.edu
  2. O'Shea: Elementary catastrophes, phase transitions and singularities, Math. Modeling, 7 (1986) 397-411
  3. ^ AJ Coleman, O'Shea: The local classification of phase diagrams, Phys. Rev. B, 22 (1980) 3428-3442