Department of Mathematics
PEOPLE: Faculty

Qingtao Chen

Assistant Professor (NTT) of Mathematics

Contact Information
E-mail: qingtaoc@usc.edu
Phone: (213) 740-3755
Office: KAP 406H

 

Education

  • B.S. Mathematics, Fudan University, 7/2004
  • Ph.D. Mathematics, University of California at Berkeley, 5/2009

Academic Appointment, Affiliation, and Employment History

  • Busemann Assistant Professor, University of Southern California, 08/2009-05/2012  

Description of Research

Research Specialties
Representation Theory, Quantum Groups, Topological Quantum Field Theory, Low Dimensional Topology, Differential Geometry, K-theory, Elliptic Genera, Atiyah-Singer Index Theorem and their relation with Quantum Field Theory, String Theory and Supersymmetry.

Conferences and Other Presentations

Conference Presentations
  • "Representation of Quantum Groups and new invariants of links", Topology of Algebraic Varieties, Talk/Oral Presentation, Abstract, Jaca, Spain, Invited, 06/22/2009-06/26/2009  
  • "Representations of Quantum Groups and new invariants for links", International Conference on Geometry and Analysis on Manifolds, Talk/Oral Presentation, Abstract, UC-Santa Barbara, Invited, 03/15/2008-03/19/2008  
  • "Some Applications of Modular Forms in Topology", Geometric Topology Conference, Talk/Oral Presentation, Abstract, Beijing, Invited, 06/18/2007-06/22/2007  
  • "Miraculous Cancellation Formula for Odd dimension and Modular Invariants", Third Pacific Rim Conference on Mathematics, Talk/Oral Presentation, Abstract, Shanghai, Invited, 08/17/2005-08/21/2005  
Other Presentations
  • "Quantum invariants of links", Claremont Topology Seminar, Pomona College, Claremont, CA, Fall 2009   
  • "Quantum invariants of links", Differential Geometry Seminar, UC-San Diego, La Jolla, CA, Fall 2009   
  • "Quantum invariants of links", Lie Theory Seminar, UC-Riverside, Riverside, Fall 2009   
  • "Representation of Quantum Groups and new invariants of links", Topology Seminar, Mathematical Institute, University of Oxford, Oxford, UK, Spring 2009   
  • "Representation of Quantum Groups and new invariants of links", Geometry and Physics Seminar, Hausdorff Research Institute for Mathematics, Bonn, Germany, 07/2008  
  • "Representations of Quantum Groups and new invariant of links", Representation Theory, Geometry and Combinatorics -Graduate Student Seminar, UC-Berkeley, Berkeley, CA, Fall 2007   
  • "Some Applications of Modular Forms in Topology", Representation Theory, Geometry and Combinatorics -Graduate Student Seminar, UC-Berkeley, Berkeley, CA, Spring 2007   
  • "Modular Invariance and Characteristic Forms", Department Colloquium, Fudan University, Shanghai, Fall 2006   

Publications

Journal Article
  • Chen, Q., Han, F. (2009). Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers. Transactions of the American Mathematical Society. Vol. 361, pp. 1463-1493.
  • Chen, Q., Han, F. (2009). Elliptic Genera, Transgression and Loop Space Chern-Simons Forms. Communications in Analysis and Geometry. Vol. 17 no.1, pp. 73-106.
  • Chen, L., Chen, Q., Reshetikhin, N. Orthogonal Quantum Group Invariants of Links.
  • Chen, Q., Reshetikhin, N. Recursion Formulas for Quantum Group Invariants.
  • Chen, Q., Han, F., Zhang, W. (2009). String^c Manifolds and Modular Characteristic Numbers. Comptes rendus – Mathematics Acad. Sci. Paris.
  • Chen, Q., Han, F., Zhang, W. Vanishing Results for Modular Characteristic Numbers on Complete Intersections.
  • Chen, Q., Han, F. (2008). Witten Genus and String Complete Intersections. Pacific Journal of Mathematics. Vol. 234 no.2, pp. 249-259.

Honors and Awards

  • Three-years Busemann Assistant Professorship, Department of Mathematics, University of Southern California, 8/2009-5/2012  
  • Three-years Simons Center Fellowship, Simons Center for Geometry and Physics at SUNY-Stony Brook (Declined), 8/2009-5/2012  
  • Invited for three-months visit, (2010-2012) Institut des Hautes Études Scientifiques, Paris, Spring 2009   
  • Walter L. Hill Fellowship, Department of Mathematics, UC-Berkeley, Spring 2008   
  • Invited as a Reviewer for Mathematical Reviews, American Mathematical Society, Spring 2007   
  • Excellent undergraduate student (Graduating with Honor), Fudan University, 2003-2004   
  • First prize (Three Times), Fudan University Scholarship, 9/2001-1/2004  
  • Second prize, National Mathematical modeling contest, Shanghai Area, 2002-2003   
  • Second prize (Fall) & First prize (Spring), Fudan University People’s Scholarship, 2001-2002   
  • First prize, Freshman Fellowship, Fudan University, 2000-2001   
  • Best Score for Experimental Session (Nan Yang Cup), National Physics Olympiad, Shanghai Area, 1999-2000   
  • Best Score of First prize (Champion, Ying Cai Cup), National Physics Olympiad, Shanghai Area, 1999-2000   
  • Member of 2000 International Physics Olympiad China Preliminary Team, 1999-2000