My research interests range over low-dimensional topology and knot theory. Most of my recent work has focused on 4-manifolds, using tools of gauge theory.

**Research**

Here are

- My CV.
- A complete list of publications.
- Links to recent preprints and a list of older papers.
- A brief research description.
- Slides and videos from a few talks.
- Notes from my lectures at the FRG Graduate workshop on 4-manifolds at the Simons Center..

**Teaching**

Most of my courses no longer have home pages; information about assignments, etc., can be found on Latte.

Courses from previous years |
Home pages |

Math 221b Spring '12: Foliations and contact structures |
Syllabus |

Math 221b Spring '10: Heegaard-Floer theory |
Syllabus, Heegaard-Floer flow chart |

My Calendar Boston Topology Seminars Calendar

So you want me to write a recommendation ...

Will you accept me as your student....?

I co-organize (with Ruth Charney and Kiyoshi Igusa) the Topology Seminar, and I am the webmaster for the Math Department web page.

Here is my mathematical ancestry, courtesy of the Mathematics Genealogy Project, now run at North Dakota State University.

Former PhD students:

1991 | Hans Boden | Representations of Orbifold Groups and Parabolic Bundles |

1994 | Su-Ming Wu | A Connected Sum Theorem for Kuranishi Vector Fields on 3-Manifolds |

1996 | Luc Patry | Points of Structural Transitions of Dirichlet Domains and Applications to Flat 3-Manifolds and Lens Spaces |

1998 | Benoit Gérard | Singular Connections on Three-Manifolds and Manifolds with Cylindrical Ends |

2001 | Saso Strle | Genus Bounds for Divisible Two-dimensional Homology Classes in Four-manifolds |

2002 | The Khoi Vu | A Cut and Paste Method for Computing Seifert Volume |

2005 | Hee Jung Kim | Modifying Surfaces in 4-Manifolds by Twist-Spinning |

2007 | Sridhar Rajagopalan | Heegaard Floer homology and symmetries of knots and links in the three sphere |

2007 | Georgi Gospodinov | Relative invariants of Legendrian knots |

2010 | Mark Radosevich | Concave spin fillings of contact 3-manifolds |

2012 | Matt Graham | Studying Embedded Surfaces Using Heegaard-Floer Theory |

2013 | Alyson Burchardt | The Hausmann-Weinberger 4-manifold invariant of right-angled Artin groups |

And now I'm a grandfather (academically speaking)!

2011 | George Dragomir, McMaster University (Hans Boden) | Closed Geodesics on Compact Developable Orbifolds |

Current PhD students:

Tynan Kelly |

Biji Wong |

Katherine Raoux |

My collaborators over the years

- Adam Levine, Princeton University
- Dave Auckly, Kansas State University
- Paul Melvin, Bryn Mawr College
- Matt Hedden, Michigan State University
- Eli Grigsby, Boston College
- Chuck Livingston, Indiana University
- Jae Choon Cha, Pohang University of Science and Technology (POSTECH), Korea
- Taehee Kim, Konkuk University, Korea
- Nikolai Saveliev, University of Miami
- Saso Strle, University of Ljubjlana
- Ron Stern, University of California, Irvine
- Hee Jung Kim, POSTECH
- David Jaffe, Broad Institute, MIT
- Paul Kirk, Indiana University
- Eric Klassen, Florida State University
- John Morgan, Columbia University
- Tom Mrowka, MIT
- Rob Meyerhoff, Boston College
- Tim Cochran, Rice University
- Sylvain Cappell, Courant Institute, NYU

**Contact information:**

Daniel Ruberman

Department of Mathematics

MS 050

Brandeis University

Waltham, MA 02454-9110

310 Goldsmith Hall

Telephone: (781) 736-3074

Email: ruberman@brandeis.edu

Fax: (781) 736-3085

The Math Departmental Homepage. I'm the webmaster; send me email if you have suggestions about the site.

Directions to the Brandeis University Mathematics Department

**Acknowledgement:** This material is based upon work supported by the National Science Foundation under Grants No. 1105234, 1065827, and 1068620.

Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).

URL: http://people.brandeis.edu/~ruberman/