Person: Floer, Andreas
Andreas Floer was a German mathematician best known for his work in symplectic topology and mathematical physics.
Mathematical Profile (Excerpt):
 Floer was appointed as a research assistant at the University of California at Berkeley and he returned to the United States in early 1985 to take up the appointment.
 Back in Berkeley he began to develop a fundamental theory which is now named Floer homology.
 Floer obtained a postdoctoral fellowship in mathematical physics at the State University of New York at Stony Brook where he worked for a year before being appointed Courant Instructor at New York University where he spent the following two years.
 Floer developed a new method for "counting" the solutions of maximumminimum problems arising in geometry.
 Andreas realized that the difference between the indices of any two solutions could still be defined and could be used where the index itself was useless.
 Combining this observation with detailed, careful analysis, and using work of many other mathematicians as well as his own, Andreas developed a theory that led to the solution of a number of outstanding problems.
 The value of his work was grasped immediately by specialists in differential geometry, topology, and mathematical physics, for whom "Floer homology" has become an essential part of their problemsolving toolkit.
 In 1987 Floer published Morse theory for fixed points of symplectic diffeomorphisms in the Bulletin of the American Mathematical Society.
 After reviewing Morse theory in finite dimensions, Floer went on to outline applications to symplectic geometry, working on the loop space on a symplectic manifold.
 In particular he looks there at Floer's progress on the Arnol'd conjecture and instanton homology, and at Floer's instanton homology and 4dimensional cobordisms.
Born 23 August 1956, Duisburg, Germany. Died 15 May 1991, Bochum, Germany.
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References
Adapted from other CC BYSA 4.0 Sources:
 Oâ€™Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive