Oliver T. Dasbach

 

• Classes Fall 2008
• Talks
• The Geometric Topology Group@LSU and Topology Seminar @ LSU
  
• Conferences:
  • Third annual Louisiana-Texas-Topology Retreat: February 9/10, 2008
  • Special Session on Knot and 3-Manifold Invariants: AMS Meeting, Baton Rouge, March 28-30, 2008

Recent preprints

• Mahler measure under variations of the base group
  

  (with Matilde Lalin), to appear in: Forum Mathematicum

• Alternating Sum Formulae for the Determinant and other Link Invariants

  (with David Futer, Effie Kalfagianni, Xiao-Song Lin and Neal Stoltzfus) submitted, 2006

Publications in Knot and Group Theory

1. The Jones polynomial and graphs on surfaces

   (with David Futer, Effie Kalfagianni, Xiao-Song Lin and Neal Stoltzfus)
   Journal of Combinatorial Theory, B, 98(2), March 2008, pp. 384-399

   
   
2. A Natural Series for the Natural Logarithm,
   

   The Electronic J. of Comb., Volume 15 (1), March 2008, Note 5, pp. 7

   
   
3. A volume-ish theorem for the Jones polynomial of alternating knots

   (with Xiao-Song Lin) Pacific Journal of Mathematics, Vol. 231 (2) 2007, 279-291

   
   
4. On the Head and the Tail of the Colored Jones Polynomial

   (with Xiao-Song Lin) Compositio Math., Vol 142 (2006), No. 5, pp 1332-1342

   
   
5. Property P for Knots admitting Certain Gabai Disks.

   (with Tao Li) Topology Appl., Vol 142 (2004), No. 1-3, pp 113-129
   

   
   
6. The Automorphism Group of a Free Group is not Subgroup Separable

   (with Brian Mangum )
   Knots, Braids, and Mapping Class Groups-Papers Dedicated to Joan S. Birman,
   AMS/IP Studies in Advanced Mathematics, Volume 24, 2002
   
   

7. The Bennequin number of n-trivial closed n-braids is negative

   (with Xiao-Song Lin),
   Math. Research Letters, Vol. 8 (2001), No. 5-6, pp. 629-636
   
   

8. On McMullen's and other inequalities for the Thurston norm of link complements

   (with Brian Mangum),
   Algebraic and Geometric Topology, Vol. 1 (2001), pp. 321-347
   
   

9. Quantum Morphing and the Jones Polynomial

   (with Thang D. Le and Xiao-Song Lin),
   Commun. Math. Phys., 224 (2001) 2, 427-442
   
   

10. On the Combinatorial Structure of Primitive Vassiliev Invariants III - A Lower Bound,
    

    Communications in Contemporary Mathematics, Vol. 2, No. 4, 2000, pp. 579-590
    
    

11. A Note on Doubles of Groups

    (with Nadia Benakli, Yair Glasner and Brian Mangum)
    

    Journal Pure and Applied Algebra, 156 (2-3) (2001) pp. 147-151
    
    

12. A Faithful Representation of the Singular Braid Monoid on Three Strands

    (with Bernd Gemein), KNOTS IN HELLAS '98 - Proc. Intern. Conf. on Knot Theory and Ramif.,

    Series on Knots and Everything, Vol. 24, pp. 48-58, World Scientific, 2000
    
    

13. On the Combinatorial Structure of Primitive Vassiliev Invariants II,
    

    Journal Combinatorial Theory, Ser. A,
    Vol. 81, No. 2, 1998, pp. 127 - 139
    
    

14. Does the Jones Polynomial Detect Unknottedness?
    

    (with Stefan Hougardy),

    Experimental Mathematics, Vol. 6, No. 1, 1997, pp. 51 - 56
    
    

15. A Conjecture of Kauffman on Amphicheiral Alternating Knots

    (with Stefan Hougardy),
    

    Journal of Knot Theory Ramif. Vol. 5, No. 5, 1996, pp. 629-635
    
    

16. On Subspaces of the Space of Vassiliev invariants,
    

    Shaker Verlag, Aachen, 1997

Co-Organizer of Previous Conferences/Special Sessions

• Special Session "Low Dimensional Topology", AMS Sectional Meeting, Baton Rouge, March 2003
• First Louisiana-Texas-Topology-Retreat (LTTR), LSU, March 25-26. 2006
• Around the Volume Conjecture, FRG-Conference, Columbia University, March 13-19, 2006
• Second Louisiana-Texas-Topology Retreat, LSU, February 3-4, 2007
• Special Session on Knots, 3-manifolds and Their Invariants, National AMS Meeting, New Orleans, January 5-6, 2007
• A second time around the Volume Conjecture, FRG-Conference, LSU, May 30 - June 3, 2007

Links

• Dror Bar-Natan's Bibliography of Vassiliev Invariants
• Mark Brittenham's Low-dimensional topology links
• UC Davis front for the ArXiv