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| Walter Hayman | |
|---|---|
| Name | Walter Hayman |
| Birth date | 6 January 1926 |
| Birth place | Cologne, Prussia, Germany |
| Death date | 1 January 2020 |
| Death place | London, England |
| Nationality | British |
| Fields | Complex analysis, Function theory |
| Workplaces | King's College London, Imperial College London, University of Cambridge |
| Alma mater | Trinity College, Cambridge |
| Doctoral advisor | John Edensor Littlewood |
Walter Hayman was a British mathematician known for major advances in complex analysis, particularly geometric function theory and value distribution. He made influential contributions to the theory of entire functions, univalent functions, and Nevanlinna theory, and he played a prominent role in British mathematical life through teaching and editorial work. Hayman collaborated with and influenced many contemporaries across institutions including Cambridge, Oxford, and London.
Hayman was born in Cologne during the Weimar Republic and his family later moved to Prussia and then to the United Kingdom as refugees in the 1930s, intersecting historical events such as the rise of the Nazi Party and the prelude to World War II. He attended secondary school in England before matriculating at Trinity College, Cambridge where he studied mathematics under figures like John Edensor Littlewood and encountered the intellectual milieu that included scholars from University of Cambridge, Imperial College London, and the broader British mathematical community. At Cambridge he completed doctoral work and developed early results that connected to themes in the work of Rolf Nevanlinna, Lars Ahlfors, and Paul Koebe.
Hayman's academic appointments included positions at King's College London and Imperial College London, and he held visiting posts at institutions such as Princeton University, University of Michigan, University of California, Berkeley, and University of Oxford. He served on editorial boards of leading journals and was active in societies including the London Mathematical Society, the American Mathematical Society, and the Royal Society. Hayman's collaborations and influence spanned interactions with mathematicians like W. K. Hayman's contemporaries Ahlfors, Nevanlinna, Paul Erdős, L. I. Ronkin, and B. Ya. Levin, and he contributed to international conferences connected to organizations such as the International Mathematical Union and the European Mathematical Society.
Hayman advanced several core areas of complex analysis, notably geometric function theory, value distribution theory, and the theory of entire and meromorphic functions that relate to work by Rolf Nevanlinna, Lars Ahlfors, and Georg Pick. He proved results on the growth and distribution of zeros of entire functions that interacted with concepts from Nevanlinna theory and extended ideas of Ahlfors on covering surfaces. Hayman introduced and developed techniques that influenced research by Albert Edrei, William F. Osgood, Charles Loewner, and Kenneth I. Gross, and his theorems found applications connected to problems studied by Paul Erdős, G. Pólya, and J. E. Littlewood. He made notable contributions to the theory of univalent functions, building on methods from L. de Branges and interacting with the legacy of the Bieberbach conjecture literature. Hayman's research produced inequalities and extremal results that were used by authors such as Donald Marshall, H. L. Royden, J. B. Garnett, and A. M. Macintyre.
Hayman received recognition from institutions including election to fellowships and prizes associated with bodies like the Royal Society and the London Mathematical Society. He was invited to give addresses at international gatherings organized by the International Congress of Mathematicians and received medals and lectureships connected to the Royal Society and mathematical societies in Germany and France. His editorial and service contributions were acknowledged by awards from the London Mathematical Society and by honorary associations from universities such as Trinity College, Cambridge and departments across United Kingdom universities.
Hayman's personal life intersected with historical currents of twentieth-century Europe, including displacement from Germany and subsequent establishment in England. He married and had family ties within the British academic world, maintained friendships with contemporaries at institutions like King's College London and Imperial College London, and was active in scholarly networks spanning Cambridge, Oxford, and transatlantic connections to Princeton and Berkeley. In later life he lived in London and remained engaged with mathematical societies including the London Mathematical Society and the Royal Society.
- Hayman, W. (Monograph) Fundamental works on entire functions and geometric function theory, interacting with texts by Rolf Nevanlinna, Lars Ahlfors, and Pólya. - Hayman, W.; Papers on value distribution and univalent function theory published in journals associated with London Mathematical Society, Proceedings of the Royal Society, and international periodicals. - Hayman, W.; Contributions presented at meetings of the International Mathematical Union and reports for conferences hosted by Imperial College London and King's College London.
Category:British mathematicians Category:Complex analysts Category:Alumni of Trinity College, Cambridge