William Abikoff (born 1944) is an American mathematician. He has been a professor of mathematics at the University of Connecticut since 1981.
Abikoff earned his Ph.D. in 1971 from the New York University Polytechnic School of Engineering under the supervision of Georges Gustave Weill. In 2012, Abikoff became a Fellow of the American Mathematical Society.
Research In 1975, Abikoff introduced the idea of an "augmented Teichmüller space", which is obtained as a Teichmüller space along with regular b-groups on its boundary. He showed that every element of the Teichmüller modular group can be extended to an automorphism of the corresponding augmented Teichmüller space.
Selected works
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