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American mathematician From Wikipedia, the free encyclopedia
Emmy Murphy is an American mathematician and a professor at the University of Toronto, Mississauga campus.[1] Murphy also maintains an office at the Bahen Centre for Information Technology.[2] Murphy works in the area of symplectic topology, contact geometry and geometric topology. [3]
Emmy Murphy | |
---|---|
Nationality | American |
Alma mater | Stanford University |
Known for | symplectic topology, contact geometry and geometric topology |
Scientific career | |
Fields | Mathematics |
Institutions | |
Thesis | Loose Legendrian Embeddings in High Dimensional Contact Manifolds (2012) |
Doctoral advisor | Yakov Eliashberg |
Murphy graduated from the University of Nevada, Reno in 2007,[3] She completed her doctorate at Stanford University in 2012; her dissertation, Loose Legendrian Embeddings in High Dimensional Contact Manifolds, was supervised by Yakov Eliashberg.[3][4]
She was a C. L. E. Moore instructor and assistant professor at the Massachusetts Institute of Technology[3] before moving in 2016 to Northwestern University, where she became an associate professor of mathematics. She moved to Princeton University in 2021 as a full professor;[5] and later moved to the University of Toronto in 2023.[6][1]
Murphy is recognized for her contribution to symplectic and contact geometry. She won the New Horizons in Mathematics Prize in 2020[7] for "the introduction of notions of loose Legendrian submanifolds"[8], and "overtwisted contact structures in higher dimensions", which is joint work with Matthew Strom Borman and Yakov Eliashberg[8].
Murphy was invited to the International Congress of Mathematicians in 2018 and she gave a talk related to some results on h-principle phenomena.[9] Apart from using h-principle to study the flexibility of local geometric models, Murphy's work uses cut-and-paste/surgery techniques from smooth topology. She also works on exploring the interaction of symplectic/contact topology with geometric invariants, such as those coming from pseudo-holomorphic curves or constructible sheaves[3].
Murphy received the grants from National Science Foundation for the period 2019–2022 on the topic "Flexible Stein Manifolds and Fukaya Categories". [10]
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