In her early years after her graduate studies, McDuff, in her thesis classified type II_1 algebras. However, in more recent memory, specifically after her time with Gelfand, McDuff became interested in Topology and Geometry. That said, her body of work deals with Symplectic Topology and Geometry. Through various internet sources as well as her own web-page (now at Columbia University), her research looks at Hamiltonian Structures, Group Actions, and more. One might be interested in looking at her book with Salamon, Introduction to Symplectic Topology to really see how she likes to give initial implications of the subject, but moreover read over her bibliography. This might not be the best answer to your question, but none-the-less, should give you some indication how what she works on.
Chat with our AI personalities
What was pythagoras most famous for related to science?
Pythagoras became famous for proving that Pythagoras' theorem was correct, making other famous Greeks like Plato and Aristotle inspired to be a mathematician.
Nicholas Copernicus was famous because he discovered that the earth was not in the center of the universe, but instead the sun was.
what else was happening in history when wilhelm conrad rontgen was famous
What made him famous was the fact that he discovered the Fibonacci Spiral which appears almost everywhere in nature