Emmy Murphy

Emmy Murphy is an American mathematician who studies symplectic geometry and symplectic and geometric topology.

Emmy Murphy studied mathematics at the University of Nevada, Reno , with a bachelor's degree in 2007 and received her PhD in 2012 with Yakov Eliashberg at Stanford University ( Loose Legendrian Embeddings in High Dimensional Contact Manifolds ). Then she was Moore Instructor and from 2014 Assistant Professor at the Massachusetts Institute of Technology . From 2016 she was an Assistant Professor at Northwestern University , where she became an Associate Professor in 2018.

In 2015 she became a Sloan Research Fellow and received a prize from the Royal Belgian Academy of Sciences for work on contact structures, she was a 2016/17 Radcliffe Institute Fellow at Harvard and she received the Joan & Joseph Birman Research Prize in Topology and Geometry from the Association for Women in Mathematics. For 2020 she received the New Horizons in Mathematics Prize for work on symplectic geometry and contact geometry and especially the introduction of loose Legendre's submanifolds and with Matthew Strom Borman and Yakov Eliashberg she introduced overtwisted contact structures in higher dimensions. In 2019 she was a Neumann Fellow at the Institute for Advanced Study .

Fonts (selection)

• Loose Legendrian embeddings in high dimensional contact manifolds, Arxiv 2012
• with Yakov Eliashberg: Lagrangian caps, Geometric and Functional Analysis, Volume 23, 2013, pp. 1483-1514, Arxiv
• with Tobias Ekholm, Y. Eliashberg, Ivan Smith: Constructing exact Lagrangian immersions with few double points, Geometric and Functional Analysis, Volume 23, 2013, pp. 1772–1803, Arxiv
• with K. Niederkrüger, O. Plamenevskaya, A. Stipsicz: Loose Legendrians and the plastikstufe, Geometry & Topology, Volume 17, 2013, pp. 1791–1814, Arxiv
• with R. Casals, F. Presas: Geometric criteria for overtwistedness, Arxiv 2015
• with Matthew Strom Borman, Yakov Eliashberg: Existence and classification of overtwisted contact structures in all dimensions, Acta Mathematica, Volume 215, 2015, pp. 281–361, Arxiv 2014
• with Yakov Eliashberg: Making cobordisms symplectic, Arxiv 2015 https://arxiv.org/abs/1503.06221
• with Roger Casals: Legendrian Fronts for Affine Varieties, Duke Math. J., Volume 168, 2019, pp. 225–323, Arxiv

Web links

• Website at Northwestern University
• Radcliffe Institute Fellow

Individual evidence

1. ↑ Emmy Murphy in the Mathematics Genealogy Project (English)
2. ^ Breakthrough Prize , 2019
3. ^ IAS, Emmy Murphy