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| Abraham Taub | |
|---|---|
| Name | Abraham Taub |
| Birth date | June 8, 1911 |
| Birth place | Chicago, Illinois |
| Death date | March 23, 1999 |
| Death place | New York City |
| Fields | Mathematics, General Relativity, Differential Geometry |
| Workplaces | Princeton University, New York University, Institute for Advanced Study |
| Alma mater | University of Illinois at Urbana–Champaign, University of Chicago |
| Doctoral advisor | Earl Raymond Hedrick |
| Doctoral students | Peter D. Lax |
Abraham Taub was an American mathematician and mathematical physicist noted for contributions to differential geometry, the theory of relativity, and partial differential equations. He produced influential work on space–time structure, characteristic initial value problems, and shock wave formation that connected techniques from Henri Poincaré, Bernhard Riemann, and Albert Einstein to later developments by John von Neumann and Sergei Sobolev. Taub's research and teaching at institutions such as Princeton University, New York University, and the Institute for Advanced Study shaped mid‑20th‑century mathematical physics.
Taub was born in Chicago, Illinois and raised during a period when American mathematics was institutionalizing through universities and research institutes associated with figures like Oswald Veblen and Earle Raymond Hedrick. He earned undergraduate and graduate credentials at the University of Illinois at Urbana–Champaign and completed a Ph.D. at the University of Chicago under the supervision of Earl Raymond Hedrick, working in analysis and differential equations in the milieu that included scholars such as Salomon Bochner and Marshall Stone. His early studies intersected with the broader U.S. mathematical development led by departments at Harvard University, Yale University, and Columbia University, and with the influx of émigré scholars from Germany, Austria, and Russia.
Taub held academic positions and visiting appointments that placed him at the center of American mathematical physics. After his doctorate he worked at Princeton University and spent periods at the Institute for Advanced Study, interacting with researchers such as John von Neumann, Albert Einstein, and Nathan Rosen. He later joined the faculty of New York University where he taught and supervised students in analysis and relativity, contributing to the growth of the department alongside colleagues like James R. Newman and Courant Institute researchers. Taub also collaborated with mathematicians and physicists at institutions including Massachusetts Institute of Technology, California Institute of Technology, and international centers such as the International Mathematical Union meetings where he engaged with contemporaries like André Lichnerowicz and Roger Penrose.
Taub's research spanned differential geometry, the theory of partial differential equations, and general relativity; his work influenced both pure mathematicians and theoretical physicists including Richard Courant and Lev Landau. He is particularly known for results on exact solutions of Einstein's field equations, analysis of space‑time singularities, and the study of characteristic initial value problems associated with nonlinear hyperbolic equations, building on techniques developed by Bernhard Riemann and Sergio Alinhac. His investigations of plane symmetric gravitational waves and homogeneous cosmological models linked to the Einstein field equations connected with the work of George F. R. Ellis and Andrzej Krasiński. Taub analyzed the formation of shock waves in relativistic fluids, which drew on methods from Lax–Wendroff theory and results by Peter D. Lax and Kurt Friedrichs; these studies helped bridge classical hyperbolic PDE theory with applications in relativistic hydrodynamics treated by Lev Landau and Isaac Khalatnikov.
Taub also contributed to the mathematical understanding of isometry groups of Lorentzian manifolds and the global structure of solutions, engaging with foundational problems addressed by E. A. Milne, Roy Kerr, and Subrahmanyan Chandrasekhar. His technical innovations in energy estimates and characteristic methods anticipated later advances by researchers such as Demetrios Christodoulou and Sergiu Klainerman in nonlinear stability and global existence theorems. Taub's papers on cosmological models and plane wave solutions remain cited in literature on exact space‑time geometries, gravitational collapse, and the initial value formulation of general relativity developed further at centers like the Max Planck Institute for Gravitational Physics.
Throughout his career Taub received recognition from American and international mathematical organizations connected with luminaries such as Norbert Wiener and Emmy Noether. His work earned invitations to lecture at conferences organized by the American Mathematical Society, the Society for Industrial and Applied Mathematics, and at international congresses associated with the International Congress of Mathematicians. He held visiting fellowships and research appointments at the Institute for Advanced Study and other leading centers, and his students and collaborators received prizes and fellowships reflecting Taub's mentoring influence comparable to accolades conferred on contemporaries like John von Neumann and Salomon Bochner.
Taub's personal life intersected with academic networks in New York City and Princeton, New Jersey, where he maintained professional relationships with figures such as Albert Einstein, John Wheeler, and J. Robert Oppenheimer. He mentored students who became prominent mathematicians and physicists, contributing to academic lineages that include Peter D. Lax and others in analysis and relativity. Taub's body of work endures in modern research on exact solutions, relativistic fluid dynamics, and the PDE techniques used in mathematical relativity; his influence is reflected in contemporary programs at institutions like the Courant Institute of Mathematical Sciences, the Perimeter Institute, and university departments that continue to develop the analytic foundations he helped advance. His papers and correspondence are part of archival collections consulted by historians tracing the transfer of mathematical ideas through mid‑20th‑century American and European networks.
Category:American mathematicians Category:20th-century mathematicians Category:People from Chicago