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Professor John E. Jayne
Professor John E. Jayne
Born29 May 1943
Davenport, Iowa, USA
NationalityAmerican–British
Known forPresident and Founder: International Mathematics Competition for University Students, 1994 - present. Contributions to topology, real and functional analysis, and mathematical analysis.

Professor John E. Jayne

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John E. Jayne (born 29 May 1943) is a British-American mathematician and Professor Emeritus at University College London, known for his contributions to mathematical logic, topology, real and functional analysis, descriptive set theory, convex analysis, and the theory of Banach spaces. Professor Jayne has authored 54 published articles in peer reviewed scolarly journals, and co-authored 64 other publications including 2 books.[1] Professor Jayne holds the title of Professor Emeritus in the Department of Mathematics at University College London (UCL), where he has been a faculty member since 1972.

Early Life and Education

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Professor Jayne was born on 29 May 1943 in Davenport, Iowa. He earned his A.B. from the University of California at Berkeley in 1965, followed by an M.A. (1967) and a Ph.D. (1971) from Columbia University under the direction of Professor E R Lorch. He later received a Doctor of Science (D.Sc.) from the University of London in 1986, and honorary D.Sc. degrees from the Sofia University "St. Kliment Ohridski" (1996) and Shumen University "Bishop Konstantin of Preslav" (1998), both in Bulgaria.

Academic Career

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Professor Jayne began his academic career with visiting appointments at prestigious institutions across Europe, including the Scuola Normale Superiore (Pisa), the Czechoslovak Academy of Sciences (Prague), the Steklov Institute of Mathematics (Moscow), the University of Paris VI, the Polish Academy of Sciences (Warsaw), the University of Rome II, and Johannes Kepler University (Linz).

He has also held visiting positions at universities in the United States and Spain, including the University of Washington, the University of Iowa, and the University of Murcia.

At University College London, Jayne served as a Lecturer from 1972 to 1983, became a Reader in 1983, and was promoted to Professor in 1994. He was appointed Professor Emeritus in 2008.

Contributions and Publications

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Professor Jayne's research spans descriptive set theory, topology, and functional analysis. He has authored over 54 publications in peer-reviewed journals[1], often in collaboration with C.A. Rogers. He is best known for his research and and published scholarly book, Selectors, co-authored with C..A. Rogers, which explores selection theorems related to the axiom of choice.[2] He serves on the editorial board of the Journal of Convex Analysis.[3] Other notable works include contributions to Analytic Sets (1980) — co-authored with several prominent mathematicians.[4]

As a Professor at University College London (UCL) Professor Jayne made significant contributions to the TEMPUS initiative in Bulgaria through his leadership of the Joint European Project S_JEP-11087-96, titled "Modular Education in Mathematics and Informatics." This project, funded under the TEMPUS-PHARE programme, aimed to modernize and harmonize mathematics and informatics curricula across Bulgarian universities.[5] Professor Jayne's role as coordinator and managing director was pivotal in aligning Bulgarian higher education with European standards, fostering academic exchange, and supporting Bulgaria's integration into the European educational framework.

Connection to the International Mathematics Competition (IMC)

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Professor Jayne's involvement with Bulgaria extended beyond curriculum reform. In 1998, under his coordination, the 5th International Mathematics Competition (IMC) for University Students was relocated to Blagoevgrad, Bulgaria. This move was facilitated by the TEMPUS project and hosted by both South-West University "Neofit Rilski" and the American University in Bulgaria. The competition attracted 80 participants from nine countries, marking a significant milestone in its history.[6]

These efforts underscore Professor Jayne's commitment to enhancing mathematics education and fostering international academic collaboration.

Honors

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D.Sc., University of London (1986)

D.Sc. (Hon.), Sofia University "St. Kliment Ohridski" (1996)

D.Sc. (Hon.), Shumen University "Bishop Konstantin of Preslav" (1998)

Personal life

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Professor Jayne is married to Professor Chrisina Jayne. They have one child John Jayne.

  1. ^ a b "John E. Jayne - Author Profile - zbMATH Open". zbmath.org. Retrieved 2025-05-26.
  2. ^ Jayne, John E. (2009). Selectors. C. Ambrose Rogers, John E. E. Jayne, C. Ambrose Ambrose Rogers. Princeton: Princeton University Press. ISBN 978-0-691-09628-5.
  3. ^ "Editors of the Journal of Convex Analysis".
  4. ^ Rogers, C. A.; London Mathematical Society, eds. (1980). Analytic sets: developed from lectures given at the London Mathematical Society Instructional Conference on Analytic Sets, University College London, July 1978. London: Acad. Press. ISBN 978-0-12-593150-2.
  5. ^ "Bulgaria Mathematics and Computer Science Tempus-Phare Joint European Projects with BULGARIA".
  6. ^ "Mathematics Competition (IMC) for University Students)".
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