Photo by Yvonne Feece Photography
Professor of Mathematics
office: Herman Brown 446
My schedule for spring 2016
This research is partially supported by the National Science Foundation (DMS-1309070). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author, and do not necessarily reflect the views of the National Science Foundation.
|Research Funding from the National Science Foundation|
Low-dimensional topology and geometry, group theory, non-commutative algebra.
Publications and Preprints from arXiv.org
Publications from MathSciNet
Google scholar page
Carolyn Otto, Ph.D. May 2011
Thesis: The (n)-solvable filtration of the link concordance group and Milnor's invariants
Taylor Martin, Ph.D. May 2013
Thesis: Lower order solvabilty of links
Taylor McNeill, Ph.D. May 2013
Thesis: A new filtration of the Magnus kernel
Katherine Vance, Ph.D. May 2016
Thesis: Tau invariants of spatial graphs
JungHwan Park, Ph.D. expected May 2017
Anthony Bosman, Ph.D. expected May 2017
Miriam Kuzbary, Ph.D. expected May 2018
Sarah Seger, Ph.D. expected May 2018
VIGRE: Math 699 - Current Topics in Topology
Rice Math Calendar
Conferences or special sessions coorganized
Topology in Dimension 3.5: A conference in memory of Tim Cochran, June 1-4, 2016
AWM Research Symposium 2015, University of Maryland, College Park, April 11-12, 2015.
Special Session on Low-Dimensional Topology at the AWM Research Symposium, University of Maryland, College Park, April 11-12, 2015.
AMS Special Session on Knot Theory at the Joint Math Meetings, San Antonio, TX, January 12–13, 2015.
"Hempelfest" 3-Manifolds: Heegaard Splittings, the Curve Complex, and Hyperbolic geometry, Rice University, April 19-21, 2013.
Special Session on Low-Dimensional Topology at the AWM Research Symposium, Santa Clara, CA, March 16-17, 2013
AMS Special Session on Knot Theory at the Joint Math Meetings, Boston, MA, January 4-7, 2012.
Special Session on Low Dimensional Topology and Geometry at the AMS Fall Southeastern Section Meeting, Winston-Salem, NC, September 24-25, 2011.
AMS Special Session on Knot Theory at the Joint Math Meetings, New Orleans, LA, January 8-9, 2011.
Special Session on Low Dimensional Topology at the AMS Fall Eastern Section Meeting, Middletown, CT, October 11-12, 2008.
3rd Annual Louisiana Texas Topology Retreat, Rice University, February 9-10, 2008 (Pictures)
Second Louisiana-Texas-Topology-Retreat (LTTR), February 3-4, 2007
2006 Texas Geometry and Topology Conference at Rice University, Oct 27-29, 2006
Selected Research Talks:
The geometry of knot concordance spaces; Topology Seminar, UC Berkeley, September 2014.
4-dimensional equivalence relations on knots; Invited Address at the AMS Southeastern Sectional Meeting in Winston-Salem, NC, September 2011.
Knots and link concordance; Connections for Women: Homology Theories of Knots and Links at MSRI, January 2010.
Torsion in the knot concordance group; Cascade Topology Seminar, University of Oregon, October 2009.
Torsion in the knot concordance group; 2009 Georgia International Topology Conference, May 2009.
A survey of knot theory and its combinatorial invariants; CombinaTexas: Combinatorics in the South-central US conference, University of Houston, April 2009.
Subgroups of the mapping class group and higher-order signature cocycles; Colloquium, University of Indiana, Bloomington, March 2009.
Subgroups of the mapping class group and higher-order signature cocycles; Texas Geometry and Topology Conference, University of Houston, February 2009.
Filtrations of the Knot Concordance Group; Colloquium at University of Riverside, December 2008.
Classical Knot Concordance and Blanchfield Duality; "Geometric Topology Conference," Beijing 2007.
New Phenomena in Knots and Links; "4-Dimensional Manifolds," Oberwolfach 2006.
Group theoretic invariants of links and 3-manifolds; "3-manifolds after Perelman," Edinburgh, Scotland, March 2006.
Homology Equivalence of Groups and Spaces; "Knots and their manifold stories" held at BIRS in May 2004.
Math 304 - Elements of Knot Theory (Spring 2016)
Math 445/540 - Algebraic Topology (Spring 2016)
Math 304 - Elements of Knot Theory (Spring 2014)
Math 445/540 - Algebraic Topology (Spring 2014)
Math 356 - Abstract Algebra I (Spring 2013)
Math 445/540 - Algebraic Topology (Spring 2013)
Math 304 - Elements of Knot Theory (Spring 2012)
Math 445/540 - Algebraic Topology (Spring 2012)
Math 445/540 - Algebraic Topology (Spring 2010)
Math 542 - Topics in Advanced Topology: Advanced Algebraic Topology (Spring 2010)
Math 543 - Topics in Low-Dimensional Topology [Topic: 4-Manifolds] (Spring 2010)
Math 300 - Knot Theory (Fall 2009)
Math 543 - Topics in Low-Dimensional Topology: Products in Legendrian Contact Homology (Fall 2009)
Math 445 - Algebraic Topology (Spring 2009)
Math 542 - Topics in Advanced Topology: Knot Homologies (Spring 2009)
Math 356 - Abstract Algebra I (Spring 2008)
Math 445 - Algebraic Topology (Spring 2008)
Math 445 - Algebraic Topology (Spring 2007)
Math 102 - Single Variable Calculus II (Spring 2006)
Math 542 - Symplectic Geometry and Topology (Spring 2006)
Math 401 - Differential Geometry (Fall 2005)
(MIT)18.904 Undergraduate Seminar in Topology (Spring 2005)
(MIT)18.905 Algebraic Topology (Fall 2004)