Dan Cristofaro-Gardiner

TitleAssistant Professor
DivisionPhysical & Biological Sciences
DepartmentMathematics Department
Phone831-459-4162
Email
Web Site https://dancg.sites.ucsc.edu
OfficeMcHenry Building Room 4174
Campus Mail StopMathematics Department
Dan Cristofaro-Gardiner

Research Interests

Daniel's research is about symplectic geometry, and its connections with dynamics, low-dimensional topology, and combinatorics.  Much of his research to date has been centered around two related questions:  What can we say about the dynamics of Reeb vector fields?  And what can we say about whether or not one symplectic manifold can be symplectically embedded into another?  To study these questions, Daniel uses techniques from gauge theory, contact homology, combinatorics, and the theory of pseudoholomorphic curves. His joint work about length and volume for three-dimensional Reeb flows was an important piece in recent progress on the 10th problem in Smale's famous list of unsolved questions for the 21st century.  Daniel's research has been supported by the National Science Foundation, the Institute for Advanced Study, and the Fondation Sciences Mathématiques de Paris. 


 

Biography, Education and Training

AB, Harvard University; PhD, University of California, Berkeley