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.
- Kirby's list of Problems from 1993-97.

**Teaching**

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

Math 221b Spring '16: Instanton Floer Theory |
Unofficial home page; official page is the course LATTE page, which requires a Brandeis login. |

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

Rubermania! (and the other rubermania)

So you want me to write a recommendation ...

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

I co-organize (with Carolyn Abbott, Ruth Charney and Kiyoshi Igusa) the Topology Seminar, which is also listed on the Boston Topology Seminars Calendar. Along with Martha Lagace, 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 Hildum (Burchardt) | The Hausmann-Weinberger 4-manifold
invariant of right-angled Artin groups |

2015 | Tynan Kelly | Twisted Linking Numbers and Casson-Gordon Invariants |

2017 | Katherine Raoux | τ-invariants for knots in rational homology spheres |

2017 | Biji Wong | Torsion Invariants of 3-orbifolds, Equivariant Corks, &
Heegaard Floer Homology |

2020 | Langte Ma | Gluing and Surgery for the Casson-Seiberg-Witten Invariant of Integral Homology S^{1} x S^{3} |

2020 | McKee Krumpak | Twisted h-invariants |

2023 | Ian Montague | Seiberg-Witten Floer K-Theory and Cyclic Group Actions |

2023 | Charles Stine | Surfaces and Corks in Knot Traces |

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

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

2014 | Eva Horvat, University of Ljubljana (Saso Strle) | Double Plumbings of Disk Bundles over Spheres |

2016 | Lindsay White, McMaster University (Hans Boden) | Alexander invariants of periodic virtual knots |

2018 | Homayun Karimi, McMaster University (Hans Boden) | Alternating virtual knots |

2023 | Jie Chen, McMaster University (Hans Boden) | Flat knots and invariants |

Current PhD students:

Haochen Qiu |

My collaborators over the years

- Selman Akbulut, Michigan State University
- Dave Auckly, Kansas State University
- Sylvain Cappell, Courant Institute, NYU
- Jae Choon Cha, Pohang University of Science and Technology (POSTECH), Korea
- Tim Cochran, Rice University
- Eli Grigsby, Boston College
- Matt Hedden, Michigan State University
- Sam Hughes, University of Oxford
- David Jaffe, Broad Institute, MIT
- Demetre Kazaras, Stonybrook University
- Hee Jung Kim, Western Washington University
- Taehee Kim, Konkuk University, Korea
- Paul Kirk, Indiana University
- Eric Klassen, Florida State University
- Adam Levine, Princeton University
- Jianfeng Lin, Tsinghua University
- Chuck Livingston, Indiana University
- Paul Melvin, Bryn Mawr College
- Rob Meyerhoff, Boston College
- John Morgan, Simons Center
- Tom Mrowka, MIT
- Juanita Pinzón Caicedo, Notre Dame University
- Steve Rosenberg, Boston University
- Nikolai Saveliev, University of Miami
- Hannah Schwartz, Princeton University
- Marko Slapar, University of Ljubjlana
- Saso Strle, University of Ljubjlana
- Laura Starkston, University of California, Davis
- Ron Stern, University of California, Irvine
- Steve Tschantz, Vanderbilt
- Jie (Frank) Xu, Northeastern University

**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

Why I didn't become an accountant.

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. 1811111, 1506328, 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/