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Stanley Osher

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Stanley Osher
NameStanley Osher
Birth date1942
Birth placeBrooklyn, New York
FieldsApplied Mathematics, Computational Science
InstitutionsUniversity of California, Los Angeles; University of California, Irvine; University of California, Berkeley
Alma materBrooklyn College; New York University
Doctoral advisorPeter D. Lax
Known forLevel set methods, total variation denoising, ENO/WENO schemes, numerical analysis

Stanley Osher is an American mathematician and computational scientist known for foundational work in numerical analysis, partial differential equations, and imaging science. He has been a major figure at institutions such as the University of California, Los Angeles, University of California, Irvine, and collaborations with researchers at New York University, Princeton University, and Massachusetts Institute of Technology. Osher's contributions span methods used in image processing, computational fluid dynamics, and optimization, influencing researchers at the Courant Institute of Mathematical Sciences, Lawrence Berkeley National Laboratory, and industrial labs such as Bell Labs and IBM Research.

Early life and education

Born in Brooklyn, Osher attended Brooklyn College before moving to graduate study at New York University's Courant Institute of Mathematical Sciences. Under the supervision of Peter D. Lax, a leading figure connected to the Institute for Advanced Study and the International Congress of Mathematicians, he completed a dissertation rooted in topics resonant with the American Mathematical Society and the broader Society for Industrial and Applied Mathematics community. During this period he interacted with scholars from Princeton University, Columbia University, and Yale University.

Academic career

Osher held faculty positions at institutions including the University of California, Los Angeles and the University of California, Irvine, and has held visiting appointments at New York University, Stanford University, Harvard University, and the California Institute of Technology. He collaborated with researchers at national laboratories such as Los Alamos National Laboratory and Lawrence Berkeley National Laboratory, and engaged with centers like the Mathematical Sciences Research Institute and the Banff International Research Station. Osher served on editorial boards for journals published by the American Mathematical Society, Society for Industrial and Applied Mathematics, and Institute of Electrical and Electronics Engineers.

Research contributions

Osher co-developed numerical algorithms widely used across communities including computational fluid dynamics, computer vision, medical imaging, and inverse problems. He is a principal author of the level set method in collaboration with researchers connected to the University of California, Berkeley and Los Alamos National Laboratory, which has links to work by scholars at the Max Planck Institute for Mathematics in the Sciences and the French National Centre for Scientific Research. His work on total variation denoising connects to methods advanced at IBM Research, Bell Labs, and groups at the University of Oxford and the University of Cambridge. Osher contributed to the development of ENO and WENO schemes alongside teams associated with Courant Institute, Massachusetts Institute of Technology, and Princeton University. These techniques influenced studies at the European Centre for Medium-Range Weather Forecasts, Jet Propulsion Laboratory, and in collaborations related to NASA missions. He pioneered hybrid approaches combining variational methods popularized by researchers at ETH Zurich and Ecole Polytechnique with iterative solvers from Argonne National Laboratory and preconditioners used by communities at Sandia National Laboratories. Osher's algorithms have been applied in projects at Siemens, General Electric, Philips, and hospitals linked to Mayo Clinic and Johns Hopkins Hospital. His collaborations extend to mathematicians at the University of Chicago, Brown University, Cornell University, and University of California, San Diego.

Awards and honors

Osher has received recognition from organizations such as the Society for Industrial and Applied Mathematics, the American Mathematical Society, and national academies including the National Academy of Engineering and the National Academy of Sciences through allied citations. He has been honored with prizes and fellowships associated with the MacArthur Foundation, the Guggenheim Foundation, and awards conferred by institutions like Princeton University and Stanford University. Professional societies that have acknowledged his work include the Institute of Mathematical Statistics and the IEEE through society-level distinctions. He has delivered invited lectures at venues such as the International Congress of Mathematicians, the SIAM Annual Meeting, and symposia held by the Royal Society.

Mentorship and students

Osher supervised doctoral students and postdoctoral researchers who later joined faculties at institutions including University of California, Berkeley, Columbia University, New York University, University of Michigan, and Carnegie Mellon University. His mentees have become leaders at research centers such as the Center for Computational Mathematics at Flatiron Institute and in industry positions at Google, Microsoft Research, and Facebook AI Research. Collaborators and former students have received fellowships from entities like the National Science Foundation, the Simons Foundation, and the European Research Council, and have presented at conferences organized by SIAM, AMS, and IEEE.

Selected publications

Osher authored and coauthored influential papers and monographs published in venues associated with the American Mathematical Society, Society for Industrial and Applied Mathematics, and IEEE Transactions on Image Processing. Notable collaborative works include foundational papers on level set methods coauthored with researchers linked to University of California, Berkeley and Los Alamos National Laboratory; seminal articles on total variation methods appearing alongside contributors from Courant Institute and Bell Labs; and papers on ENO/WENO schemes with authors affiliated with Massachusetts Institute of Technology and Princeton University. He coedited volumes and conference proceedings circulated by the Mathematical Sciences Research Institute and the International Centre for Theoretical Physics, and contributed chapters to books published by Springer and Cambridge University Press.

Category:American mathematicians Category:Numerical analysts