Nathan Dunfield
Nathan Dunfield | |
---|---|
Born | 1975 | (age 46)
Nationality | American |
Citizenship | USA |
Alma mater | Oregon State University University of Chicago |
Known for | SnapPy |
Awards | Fellow of the American Mathematical Society |
Scientific career | |
Fields | geometric group theory low-dimensional topology |
Institutions | Harvard University Caltech University of Illinois at Urbana–Champaign |
Doctoral advisors | Peter Shalen Melvin Rothenberg |
Nathan Michael Dunfield (born 1975) is an American mathematician, specializing in Topology.
Career[]
Dunfield did his undergraduate studies at Oregon State University, obtaining a B.S. in mathematics in 1994. For his graduate studies he went to the University of Chicago, obtaining his Ph.D. in 1999, with a thesis on Cyclic Surgery, Degrees of Maps of Character Curves, and Volume Rigidity for Hyperbolic Manifolds written under the supervision of Peter Shalen and Melvin Rothenberg.[1][2]
He then was a Benjamin Peirce Assistant Professor at Harvard University (1999–2003) and an associate professor at the California Institute of Technology (2003–2007), after which he moved to the University of Illinois at Urbana–Champaign, where he was promoted to professor in 2018.[1]
Work[]
Dunfield is an expert in group theory, low-dimensional topology, three-manifolds, and computational aspects of these fields. He is also, with Marc Culler, one of the key developers of the program SnapPy,[3] the modern version of Jeffrey Weeks' program SnapPea.
Dunfield is an editor for the New York Journal of Mathematics.[4]
Selected publications[]
- Dunfield, Nathan; Gukov, Sergei; Rasmussen, Jake; The superpolynomial for knot homologies. 15 (2006), 129–159. math.GT/0505662.
- Dunfield, Nathan; Calegari, Danny; Laminations and groups of homeomorphisms of the circle. Inventiones Mathematicae 152 (2003) 149–207. math.GT/0203192.
- Dunfield, Nathan; Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds. Inventiones Mathematicae 136 (1999) 3, 623–657. math.GT/9802022.
References[]
- ^ a b "Nathan M. Dunfield CV" (PDF). Retrieved April 2, 2020.
- ^ Nathan Dunfield at the Mathematics Genealogy Project
- ^ SnapPy
- ^ New York Journal of Mathematics
External links[]
- 21st-century American mathematicians
- Topologists
- Sloan Research Fellows
- 1975 births
- Living people
- Fellows of the American Mathematical Society
- Institute for Advanced Study visiting scholars
- Mathematicians from Michigan
- People from Ann Arbor, Michigan
- Oregon State University alumni
- University of Chicago alumni
- California Institute of Technology faculty
- Harvard University faculty
- University of Illinois at Urbana–Champaign faculty