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Jane Cronin Scanlon

Summary

Jane Smiley Cronin Scanlon (July 17, 1922 – June 19, 2018) was an American mathematician and an emeritus professor of mathematics at Rutgers University. Her research concerned partial differential equations and mathematical biology.[1][2]

Jane Cronin Scanlon
BornJuly 17, 1922
Manhattan
DiedJune 19, 2018
Alma materUniversity of Michigan
SpouseJoseph Scanlon
Children4
Scientific career
FieldsMathematics
InstitutionsRutgers University
Thesis (1949)
Doctoral advisorsErich Rothe

Education and career edit

Scanlon earned a bachelor's degree in mathematics from Wayne University (now Wayne State University).[3] She completed her Ph.D. in mathematics at the University of Michigan in 1949, under the supervision of Erich Rothe. Her dissertation was Branch Points of Solutions of Equations in Banach Space.[1][2][4]

After working for the United States Air Force and the American Optical Company, she returned to academia as a lecturer at Wheaton College (Massachusetts) and then Stonehill College. She moved to the Polytechnic Institute of Brooklyn in 1957, and to Rutgers in 1965. In 1974 Scanlon was elected as an AMS Member at Large and held the position until 1976.[5] She retired in 1991.[1][2][6] During her twenty-six years at Rutgers, she supervised seven doctoral students.[7]

She died in June 2018 at the age of 95.[3]

Recognition edit

Scanlon was a Noether Lecturer in 1985,[1] and Pi Mu Epsilon J. Sutherland Frame Lecturer in 1989.[8] Her talks concerned "entrainment of frequency" and the application of this principle to mathematical models of the Purkinje fibers in the heart.[1][8] In 2012, she became one of the inaugural fellows of the American Mathematical Society.[9]

Personal life edit

She married the physicist Joseph Scanlon in 1953. The two divorced in 1979.[7] Upon her death, she was survived by four children and seven grandchildren.[3]

Selected publications edit

Articles edit

  • Cronin, Jane (1950). "The existence of multiple [sic] solutions of elliptic differential equations". Transactions of the American Mathematical Society. 68: 105–131. doi:10.1090/S0002-9947-1950-0032891-3.
  • —— (1950). "Branch points of solutions of equations in Banach space". Transactions of the American Mathematical Society. 69 (2): 208–231. doi:10.1090/S0002-9947-1950-0040578-6. hdl:2027.42/182251.
  • —— (1953). "Analytic Functional Mappings". Annals of Mathematics. 58 (1): 175–181. doi:10.2307/1969827. JSTOR 1969827.
  • —— (1954). "Branch points of solutions of equations in Banach space. II". Transactions of the American Mathematical Society. 76 (2): 207–222. doi:10.1090/S0002-9947-1954-0062949-8.
  • —— (1956). "Some mappings with topological degree zero". Proceedings of the American Mathematical Society. 7 (6): 1139–1145. doi:10.1090/S0002-9939-1956-0083724-1.
  • —— (1961). "Families of solutions of a perturbation problem". Proceedings of the American Mathematical Society. 12: 84–91. doi:10.1090/S0002-9939-1961-0131017-8.
  • ——; Richards, Paul B.; Russell, Lawrence H. (1964). "Some periodic solutions of a four-body problem". Icarus. 3 (5–6): 423–428. Bibcode:1964Icar....3..423C. doi:10.1016/0019-1035(64)90003-X.
  • ——; McAuley, L. F. (1966). "Whyburn's conjecture for some differentiable maps". Proceedings of the National Academy of Sciences. 56 (2): 405–412. Bibcode:1966PNAS...56..405C. doi:10.1073/pnas.56.2.405. ISSN 0027-8424. PMC 224386. PMID 16591368.
  • —— (1971). "Quasilinear systems with several periodic solutions". Proceedings of the American Mathematical Society. 30: 107–111. doi:10.1090/S0002-9939-1971-0280803-9.
  • —— (1973). "Equations with bounded nonlinearities" (PDF). Journal of Differential Equations. 14 (3): 581–596. Bibcode:1973JDE....14..581C. doi:10.1016/0022-0396(73)90069-7.
  • —— (1973). "Biomathematical model of aneurysm of the circle of Willis: A aqualitative analysis of the differential equation of Austin". Mathematical Biosciences. 16 (3–4): 209–225. doi:10.1016/0025-5564(73)90031-X.
  • —— (1977). "Some Mathematics of Biological Oscillations". SIAM Review. 19: 100–138. doi:10.1137/1019007.

Books edit

  • Advanced Calculus, Boston, Heath 1967
  • Differential equations: Introduction and Qualitative Theory, Dekker 1980, 2nd edition 1994, 3rd edition CRC/Chapman and Hall 2008[10]
  • Fixed points and topological degrees in nonlinear analysis, American Mathematical Society 1964; 1995 pbk edition of 1972 reprint with corrections
  • Mathematical aspects of the Hodgkin-Huxley neural theory, Cambridge University Press 1987[11]
  • Mathematics of Cell Electrophysiology, Dekker 1981

as editor edit

  • Cronin, Jane; O'Malley Jr., Robert E., eds. (1999). Analyzing Multiscale Phenomena Using Singular Perturbation Methods: American Mathematical Society Short Course, January 5-6, 1998, Baltimore, Maryland. American Mathematical Soc. ISBN 978-0-8218-0929-7.

References edit

  1. ^ a b c d e "Jane Cronin Scanlon", Profiles of Women in Mathematics, Association for Women in Mathematics, archived from the original on 2008-09-07, retrieved 2018-11-01.
  2. ^ a b c Riddle, Larry, "Jane Cronin Scanlon", Biographies of Women Mathematicians, Agnes Scott College, retrieved 2014-12-25.
  3. ^ a b c Obituary for Dr. Jane Cronin Scanlon
  4. ^ Jane Smiley Cronin Scanlon at the Mathematics Genealogy Project
  5. ^ "AMS Committees". American Mathematical Society. Retrieved 2023-03-28.
  6. ^ Bart, Jody (2000), Women Succeeding in the Sciences: Theories and Practices Across Disciplines, Purdue University Press, p. 92, ISBN 9781557531216.
  7. ^ a b Aboufadel, Edward F. (October 2019). "In Memoriam: Jane Smiley Cronin Scanlon" (PDF). Notices of the AMS. 66 (9): 1448–1452. doi:10.1090/noti1948.
  8. ^ a b J. Sutherland Frame Lectures, Pi Mu Epsilon
  9. ^ List of Fellows of the American Mathematical Society, retrieved 2014-12-25.
  10. ^ Ricardo, Henry (July 27, 2010). "Review of Differential equations: Introduction and Qualitative Theory, 3rd edition". MAA Reviews.
  11. ^ Starmer, C. Frank (1989). "Review of Mathematical Aspects of Hodgkin-Huxley Neural Theory by Jane Cronin". The Quarterly Review of Biology. 64 (1): 95. doi:10.1086/416197. ISSN 0033-5770.

External links edit

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