Peter Ozsváth
Encyclopedia
Peter Steven Ozsváth is a professor of mathematics at Princeton University
. He created, along with Zoltán Szabó
, Heegaard Floer homology, a homology theory
for 3-manifold
s.
He received his Ph.D. from Princeton in 1994 under the supervision of John Morgan
; his dissertation was entitled, On Blowup Formulas For SU(2) Donaldson Polynomials.
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
. He created, along with Zoltán Szabó
Zoltán Szabó
Zoltán Szabó is a professor of mathematics at Princeton University. He created, along with Peter Ozsváth, Heegaard Floer homology, a homology theory for 3-manifolds. For this contribution to the field of topology, Ozsváth and Szabó were awarded the 2007 Oswald Veblen Prize in Geometry.He got his...
, Heegaard Floer homology, a homology theory
Homology theory
In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. It can be broadly defined as the study of homology theories on topological spaces.-The general idea:...
for 3-manifold
3-manifold
In mathematics, a 3-manifold is a 3-dimensional manifold. The topological, piecewise-linear, and smooth categories are all equivalent in three dimensions, so little distinction is made in whether we are dealing with say, topological 3-manifolds, or smooth 3-manifolds.Phenomena in three dimensions...
s.
He received his Ph.D. from Princeton in 1994 under the supervision of John Morgan
John Morgan (mathematician)
John Willard Morgan is an American mathematician, well known for his contributions to topology and geometry. He is currently the director of the Simons Center for Geometry and Physics at Stony Brook University.-Life:...
; his dissertation was entitled, On Blowup Formulas For SU(2) Donaldson Polynomials.