Jack D. Cowan
Also known as Jack Cowan, Jack David Cowan
Jack D. Cowan was a British mathematician whose Wilson–Cowan equations, written with Hugh Wilson in 1972, became a mainstay of neural network research. As a graduate student at MIT in 1962, he asked Warren McCulloch, Walter Pitts and Norbert Wiener how best to study the brain with mathematics, and he earned a PhD at Imperial College London under Dennis Gabor in 1967. In 1967, he joined the University of Chicago as chair of the Committee on Mathematical Biology; he and his students were the first to apply dynamical systems and bifurcation theory to neural field equations. He was general chair of the NIPS*93 neural information processing conference in Denver, became professor emeritus in 2022 and died in 2025 at the age of 91.
Timeline
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1933–1955
Physics at Edinburgh
Jack David Cowan is born in Leeds, England, in 1933, and moves with his family to Edinburgh at age six. He studies physics at the University of Edinburgh, graduates in 1955, and works on early computing projects at Ferranti Labs in Edinburgh.
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1962–1967
MIT and an Imperial PhD
In 1962, as a graduate student in electrical engineering at MIT, he asks Warren McCulloch, Walter Pitts and Norbert Wiener which mathematics best suits the study of the brain, and he follows Pitts's advice toward differential equations. He earns a PhD at Imperial College London in 1967 with the dissertation A Mathematical Theory of Central Nervous Activity, advised by Dennis Gabor.
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1967
Mathematical biology chair at Chicago
In 1967, he joins the University of Chicago faculty and succeeds Nicolas Rashevsky as chair of the Committee on Mathematical Biology.
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1972–1977
The Wilson–Cowan equations
In 1972, he and postdoctoral fellow Hugh Wilson formulate the Wilson–Cowan equations for interacting populations of excitatory and inhibitory neurons, which become a mainstay of neural network research. He and his students are the first to apply dynamical systems and bifurcation theory to neural field equations. In 1977, he is a visiting researcher at the Max Planck Institute for Biophysical Chemistry in Göttingen and receives the Humboldt Senior Scientist Award.
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1993
General chair of NIPS*93
He serves as general chair of NIPS*93, the seventh Neural Information Processing Systems meeting, held in Denver in 1993. The conference brings together neuroscientists, engineers, computer scientists, cognitive scientists, physicists and mathematicians interested in neural processing and computation.
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2008
Phase transitions in the brain
In February 2008, as a professor in mathematics and neurology at Chicago, he organizes a session on mathematics and the brain at the AAAS annual meeting in Boston and argues that brain activity follows the physics of phase transitions. With former graduate student Michael Buice, he shows an analogy between chemical reaction networks and neural networks.
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2014–2016
A Festschrift at Banff
In July 2014, the Banff International Research Station hosts the workshop Stochastic Network Models of Neocortex in his honor, on the occasion of his 81st birthday. A Festschrift special issue of The Journal of Mathematical Neuroscience follows in 2016.
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2022–2025
Professor emeritus at Chicago
He becomes professor emeritus at the University of Chicago in 2022. He dies in 2025 at the age of 91, and colleagues announce his death to the mathematical neuroscience community in July 2025.
Sources and credits
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- Jack D. Cowan - Wikipedia
- Cowan discovers analogy between behavior of chemical reaction networks, neural networks of brain
- Stochastic Network Models in Neuroscience: A Festschrift for Jack Cowan. Introduction to the Special Issue - PMC
- Jack Cowan - The Mathematics Genealogy Project
- NIPS*93 (Connectionists mailing list)
- Brain waves pattern themselves after rhythms of nature | University of Chicago News
- [ICMNS] Jack Cowan’s obituary