Welcome

The research group in Noncommutative Geometry and Operator Algebras at Vanderbilt University consists of faculty members, postdocs, visitors and graduate students with scientific interests in noncommutative geometry, the theory of subfactors, von Neumann algebras, K-theory of operator algebras, operator theory, coarse geometry, index theory, analysis on manifolds, controlled topology, stratified spaces, harmonic analysis, quantum computing and quantum information theory. The group organizes a yearly school and international conference on noncommutative geometry and operator algebras. Each year a particular topic will be emphasized and the school will feature several mini-courses by leading experts.

News

April 18-20, 2008
Shanks workshop: Subfactors and Planar Algebras at Vanderbilt
Organizers: Dietmar Bisch (Vanderbilt), Shamindra Ghosh Vanderbilt), Pinhas Grossman (Vanderbilt).
More information: Conference website

May 5 - 14, 2008
The Sixth Annual NCGOA Spring Institute to be held at Vanderbilt University
Topics: KK-theory of operator algebras and Noncommutative Geometry
Director of the Sixth Spring Institute: Alain Connes
Organizing Committee: Dietmar Bisch, Alain Connes, Bruce Hughes, Gennadi Kasparov, Guoliang Yu.
More Information: Conference website.

May 15-18, 2008
Workshop: Noncommutative geometry and geometry over the field with one element
Organizers: Alain Connes (Vanderbilt, IHES, College de France), Katia Consani (Johns Hopkins), Matilde Marcolli (Max-Planck Insitute Bonn, FSU), Henri Moscovici (Ohio State).
More information: Conference website

February 22, 2007
Workshop on Nil Phenomena in Topology, April 14 & 15, 2007
The Workshop on Nil Phenomena in Topology will focus on several topics in the theory of surgery and manifold theory, such as splitting homotopy equivalences between manifolds, controlled topology and Bass's Nil groups, calculation of Waldhausen's Nil groups, calculation of Cappell's UNil groups, the isomorphism conjectures, decomposition of Waldhausen's A-theory, supersimple L-theory. It will be held in SC 4309. The workshop is supported by NSF and the Shanks Endowment of the Department of Mathematics. For more details click here.

February 20, 2007
New NCG blog created
Click here to access the NCG blog.

September 12, 2006
Center for Noncommutative Geometry and Operator Algebras established at Vanderbilt
Provost Nicholas Zeppos approved the establishment of a new center in the Department of Mathematics, the Center for Noncommutative Geometry and Operator Algebras. One of the main activities of the center will be the organization of the annual spring institute on NCGOA, directed by Professor Alain Connes.

September 21 - September 28, 2006
Lecture Series by Stefaan Vaes
Professor Stefaan Vaes from the Katholieke Universiteit Leuven and the CNRS Paris will give a lecture series entitled "Deformation and rigidity results for crossed product II1 factors" at the Vanderbilt math department. The lectures will be accessible to graduate students. Click here for more details.

September 24 - October 5, 2006
Lecture Series by Andreas Thom
Dr. Andreas Thom from the University of Goettingen will give a lecture series entitled "L2-Betti numbers for von Neumann algebras" at the Vanderbilt math department. The lectures will be accessible to graduate students. Click here for more details.

December 2-3, 2005
Lecture Series by Jean Bellissard
Professor Jean Bellissard from Georgia Tech will give a series of 3 lectures entitled ``The Quantum Hall Effect and its Mathematical Aspects'' at the Vanderbilt math department December 2 and 3, 2005. The lectures will be accessible to graduate students. We shall have one lecture on Friday, December 2 from 2:10pm to 3:30 pm and two more on Saturday, December 3, 11:00am-12:30pm and 2:30pm-4:00pm. Click here for more details.

October 20, 2005
Postdoctoral positions and graduate student fellowships in NCGOA

We are currently recruiting several non-tenure-track assistant professors in the areas of noncommutative geometry/topology and operator algebras (beginning fall 2006). Click on the link for the departmental job ad.

In addition we are seeking one non-tenure-track assistant professors in the areas of noncommutative geometry/topology and operator algebras (beginning fall 2006) supported by our NSF RTG grant. This position is intended for recent Ph.D.'s who are U.S. citizens or residents with demonstrated research potential and a strong commitment to excellence in teaching. Moreover we are offering stipends for graduate students interested in noncommutative geometry and stipends for summer research experiences for undergraduate students (note: same eligibility criteria as for the assistant professor positions). Please click on the links below for information on
  • the non-tenure track assistant professor position
  • the graduate fellowships
  • the fellowships for summer research experiences for undergraduate students

  • If you require further information please send a message to the group's email address below.

    October 7-9, 2005
    Lecture Series by Yan Soibelman
    Professor Yan Soibelman from Kansas State University will give a series of 6 lectures entitled ``Commutative and noncommutative geometry of mirror symmetry" at the Vanderbilt math department October 7, 8 and 9, 2005. The lectures will be accessible to graduate students. We shall have two lectures on Friday, October 7 from 3 to 5 pm, Saturday October 8, 10-12:30 am, and Sunday October 9, 10-12:30 am. Click here for more details.

    August 8, 2005
    Sapir and Yu Invited Speakers at ICM 2006
    Mark Sapir and Guoliang Yu have been invited to deliver a 45-minute lecture at the ICM in Madrid in August 2006. Congratulations to Guoliang and Mark! See the news flash on the math department's web page.

    April 4, 2005
    Lecture series "Noncommutative geometry: from Quantum Physics to Motives" by Alain Connes and Matilde Marcolli in April 2005


    Alain Connes (Collège de France, IHES & Vanderbilt) and Matilde Marcolli (Max-Planck Institute Bonn) will give a mini-course ``Noncommutative geometry: from Quantum Physics to Motives'' at Vanderbilt from April 5 to April 15, 2005. Please click here to view the times and location of these lectures. The course is intended for graduate students with some basic background in noncommutative geometry and operator algebras. We have some funds to support graduate students or postdocs to participate in this lecture series (only US citizens or US residents are eligible for these funds). To apply for funding please send an email to the NCGOA research group (see email address at the bottom of this page).

    February 16, 2005
    Alain Connes receives Gold Medal of the CNRS


    Alain Connes received in November 2004 the prestigious Gold Medal of the Centre National de la Recherche Scientifique. See the news release of Vanderbilt's Daily Register.

    November 15, 2004
    NCGOA research group in the news


    Vanderbilt's The Daily Register published a story on the NSF RTG grant which was awarded to Vanderbilt's research group in noncommutative geometry and operator algebras, see http://www.vanderbilt.edu/register/articles?id=15574.


    May 10, 2004
    NSF awards RTG grant to the NCGOA research group at Vanderbilt University


    The National Science Foundation has recently awarded a Research Training Group (RTG) grant to Vanderbilt's research group in noncommutative geometry. The Co-PI's on the grant are Guoliang Yu, Dietmar Bisch, Alain Connes, Bruce Hughes and Gennadi Kasparov. We are currently recruiting two non-tenure-track assistant professors in the areas of noncommutative geometry/topology and operator algebras (beginning fall 2005). These positions are supported by the RTG grant. They are intended for recent Ph.D.'s who are U.S. citizens or residents with demonstrated research potential and a strong commitment to excellence in teaching. Moreover we are offering stipends for graduate students interested in noncommutative geometry and stipends for summer research experiences for undergraduate students (note: same eligibility criteria as for the assistant professor positions). Please click on the links below for information on
  • the non-tenure track assistant professor positions
  • the graduate fellowships
  • the fellowships for summer research experiences for undergraduate students

  • If you require further information please send a message to the group's email address below.


    Noncommutative Geometry and Operator Algebras
    Department of Mathematics
    Vanderbilt University
    Stevenson Center 1326
    Nashville, TN 37240
    U.S.A.
    Phone: (615) 322-6672
    Fax: (615) 343-0215
    E-mail: ncgoa[at]vanderbilt[dot]edu
    Department of Mathematics at Vanderbilt
    Vanderbilt homepage