AMS Sectional Meeting Program by Special Session
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2004 Spring Southeastern Section Meeting
Tallahassee, FL, March 1213, 2004
Meeting #994
Associate secretaries:
John L Bryant, AMS
bryant@math.fsu.edu
Special Session on Knot Theory and Applications

Friday March 12, 2004, 8:30 a.m.10:50 a.m.
Special Session on Knot Theory and Applications, I
Room 202, Rovetta Business Building
Organizers:
Yuanan Diao, University of North Carolina at Charlotte ydiao@uncc.edu

8:30 a.m.
A Fast Algorithm for Computing Ropelength.
Jason H Cantarella*, University of Georgia
Ted Ashton, University of Georgia
(99452144)

9:00 a.m.
Quadrisecants Give New Lower Bounds for Ropelength of a Knot.
Elizabeth J. Denne*, University of Illinois at UrbanaChampaign
Yuanan Diao, University of North Carolina Charlotte
John M. Sullivan, Technische Universitat Berlin
(9945784)

9:30 a.m.
Semidifferential topology and the ropelength problem.
Joseph HG Fu*, University of Georgia
(99449148)

10:00 a.m.
Local structure of knot space near ropelengthminimized knots.
Kenneth Millett, University of California, Santa Barbara
Michael Piatek, Duquesne University
Eric Rawdon*, Duquesne University
(9945776)

10:30 a.m.
Implementing the Gradient of Ropelength.
Michael Piatek*, Duquesne University
Eric Rawdon, Duquesne University
Jason Cantarella, University of Georgia
(9947467)

Friday March 12, 2004, 2:30 p.m.5:50 p.m.
Special Session on Knot Theory and Applications, II
Room 202, Rovetta Business Building
Organizers:
Yuanan Diao, University of North Carolina at Charlotte ydiao@uncc.edu

2:30 p.m.
Topological entanglement of a random $\theta$curve through knots and links.
Tetsuo Deguchi*, Department of Physics, Ochanomizu University
(99482125)

3:00 p.m.
Knots in Linear Random Walks.
Kenneth C Millett*, University of California, Santa Barbara
(99457181)

3:30 p.m.
Knot complexity and the probability of random knotting.
Miyuki K. Shimamura*, Japan
Tetsuo Deguchi, Japan
(9946579)

4:00 p.m.
Random Knotting of selfavoiding polygons on $\mathbb{Z}^3$.
Christine E Soteros*, Univ. of Saskatchewan
(99405184)

4:30 p.m.
The Probability of Knotting after a Local Strand Passage in an Unknotted SAP.
M. L. Szafron*, Department of Mathematics and Statistics, University of Saskatchewan
C. E. Soteros, The Mathematical Sciences Group, University of Saskatchewan
(99482147)

5:00 p.m.
Distribution of knots in lattice polygons.
Stuart G Whittington*, University of Toronto
(9945727)

5:30 p.m.
How long is a knot in a polymer ?
Enzo Orlandini*, INFMDipartimento di Fisica, Universita' di Padova
Boris Marcone, INFMDipartimento di Fisica, Universita' di Padova
Attilio L. Stella, INFMDipartimento di Fisica, Universita' di Padova
Francesco Zonta, INFMDipartimento di Fisica, Universita' di Padova
(99482167)

Saturday March 13, 2004, 8:00 a.m.10:50 a.m.
Special Session on Knot Theory and Applications, III
Room 202, Rovetta Business Building
Organizers:
Yuanan Diao, University of North Carolina at Charlotte ydiao@uncc.edu

8:00 a.m.
Solving Tangle Equations with KnotPlot.
Isabel K Darcy*, University of Iowa
Robert G Scharein, Simon Fraser University
Stephen D Levene, University of Texas at Dallas
(99492193)

8:30 a.m.
A comparison between the scaling of the average crossing number ${\rm ACN}$ of equilateral random polygons with the corresponding ${\rm ACN}$ scaling observed in native proteins.
Akos Dobay*, Laboratory of Ultrastructural Analysis, University of Lausanne
Yuanan Diao, University of North Carolina
Kenneth Millett, University of California Santa Barbara
Rob Kusner, University of Massachusetts at Amherst
Andrzej Stasiak, Laboratory of Ultrastructural Analysis, University of Lausanne
(9946585)

9:00 a.m.
Connectivity and shape of spaces of knots.
Alessandro Flammini, SISSA, Trieste, Italy
Andrzej Stasiak*, University of Lausanne
(9945446)

9:30 a.m.
Unknotting by Type II Topoisomerases.
Jennifer K Mann*, Florida State University
Richard W Deibler, Harvard Medical School
De Witt L Sumners, Florida State University
E. Lynn Zechiedrich, Baylor College of Medicine
(99492187)

10:00 a.m.
Colorability and $n$string Tangles.
Junalyn P. NavarraMadsen*, UTDallas
Isabel K. Darcy, University of Iowa
(9949237)

10:30 a.m.
Generating Large Random Knot Projections.
Claus Ernst*, Western Kentucky University
Yuanan Diao, University of North Carolina at Charlotte
Uta Ziegler, Western Kentucky University
(99455162)

Saturday March 13, 2004, 2:30 p.m.5:50 p.m.
Special Session on Knot Theory and Applications, IV
Room 202, Rovetta Business Building
Organizers:
Yuanan Diao, University of North Carolina at Charlotte ydiao@uncc.edu

2:30 p.m.
The tight Borromean rings.
John M Sulivan*, TU Berlin / U Illinois
(99453105)

3:00 p.m.
Braiding Operators are Universal Quantum Gates.
Louis H. Kauffman*, University of Illinois at Chicago
(9945792)

3:30 p.m.
From the Gehring Link Problem to Gehring Cloth (and Beyond).
Rob Kusner*, MSRI
(9945387)

4:00 p.m.
A Khovanov type homology theory for graphs.
Yongwu Rong*, The George Washington University
Laure HelmeGuizon, The George Washington University
(99405100)

4:30 p.m.
Total curvature and packing of knots.
Jonathan Simon*, University of Iowa
Gregory Buck, St. Anselm College
(99457115)

5:00 p.m.
Computations in knot theory.
Morwen Thistlethwaite*, University of Tennessee
(99457169)

5:30 p.m.
Geometry, Topology and the Entanglement Phase Transition.
Greg Buck*, Saint Anselm College
Jonathan Simon, University of Iowa
(99482202)
Inquiries: meet@ams.org