Nathan Broaddus

L.E. Dickson Instructor

- Contact Info
- - Email: broaddus@math.uchicago.edu
  - Office: Eckhart 411
  - Office Phone: +1 (773) 702-7394
  - Department Fax: +1 (773) 702-9787
  - Office Hours: Fridays 1:30-2:30

- Postal Address
- Department of Mathematics
  University of Chicago
  5734 S. University Ave.
  Chicago, IL 60637
  USA
- Research Interests
- Geometric group theory, Low-dimesional topology, Mapping class groups
- Education and Employment
- - L.E. Dickson Instructor - University of Chicago, Current
  - NSF Postdoc - University of Chicago, 2005-2006
  - NSF Postdoc - Cornell University, 2003-2005
  - Ph.D. Math - Columbia University, 1997-2003
  - B.S. Math - University of Chicago, 1993-1997
- Teaching
- - Fall 2008
    - Honors Calculus I - Math 163 Sections 41 and 51
  - Spring 2008
    - Honors Calculus III - Math 163 Section 41
  - Winter 2008
    - Honors Calculus II - Math 162 Section 41
  - Fall 2007
    - Honors Calculus I - Math 161 Section 41
    - Intro to Analysis and Linear Algebra - Math 199 Section 53
  - Spring 2007
    - Homology of the curve complex (graduate course)
    - Elem Algebraic Topology - Math 263 Section 50
  - Winter 2007
    - Undergraduate research project on triangulations of polygons
  - Fall 2006
    - Honors Calculus I - Math 161 Section 31
    - Intro to Analysis and Linear Algebra - Math 199 Section 53
- Papers and Preprints
- - Noncyclic covers of knot complements
  - Calculating the image of the second Johnson-Morita representation
    - with Joan Birman and Tara Brendle
    - J. S. Birman, T. E. Brendle and N. Broaddus, Calculating the image of the second Johnson-Morita representation, in Groups of Diffeomorphisms, Tokyo 2006—in honor of Shigeyuki Morita, 119—134, Adv. Stud. Pure Math., 52, Math. Soc. Japan, Tokyo.
    - arXiv:0708.3861
  - The Casson invariant and the word metric on the Torelli group
    - with Benson Farb and Andrew Putman
    - N. Broaddus, B. Farb and A. Putman, The Casson invariant and the word metric on the Torelli group, C. R. Math. Acad. Sci. Paris 345 (2007), no. 8, 449—452.
    - Published version doi:10.1016/j.crma.2007.09.018
    - MathSciNet review
    - arXiv:0707.2264
  - Irreducible Sp-representations and subgroup distortion in the mapping class group (submitted)
    - with Benson Farb and Andrew Putman
    - arXiv:0707.2262
  - Homology of the curve complex and the Steinberg module of the mapping class group (submitted)
    - arXiv:0711.0011
  - The Johnson-Morita representations of the mapping class group and invariants of 3-manifolds (preprint in preparation)
    - with Joan Birman and Tara Brendle
  - Area distortion in extensions of automatic groups (preprint in preparation)
    - with Hanna Bennett
- Links
- - MathSciNet
  - AMS MRef
  - arXiv [GT]
  - University of Chicago Math Department
  - Geometry/Topology seminar at the University of Chicago
  - Jon McCammond's geometric group theory page
  - Jesse Johnson's blog
  - Hanna Bennett, University of Chicago
  - Joan Birman, Columbia University
  - Tara Brendle, University of Glasgow (formerly LSU)
  - Benson Farb, University of Chicago
  - Andrew Putman, MIT