Shelly Harvey

Pronouns: she/her/they/them
Professor of Mathematics
Rice University

Workshop on Mentoring in the Mathematical Sciences

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About Me

I am a professor of mathematics at Rice University. My research interests are in low-dimensional topology and geometry, group theory, non-commutative algebra. I am a member of the LGBTQ community and the Faculty Sponsor for the Queer Graduate Student Association at Rice. I am also the faculty sponsor for the Association for Women in Mathematics student group at Rice.

My research is partially supported by the National Science Foundation (DMS-2109308). 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.

Contact Details

Shelly Harvey
Rice University
Herman Brown 446
shelly@rice.edu

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Research Links

My research

Curriculum Vitae
Publications and Preprints (with downloads)
Preprints from arXiv.org
Computer Programs
Google scholar page
Mathematical Reviews at MathSciNet
My mathematical genealogy

Seminars

Topology Seminar
RTG: Math 699 - Current Topics in Topology
Colloquium
Rice Math Calendar

Computing Links

The CompuTop.org Software Archive
Low-Dimensional Topology Conferences

Teaching Spring 2023

Math 354 Honors Linear Algebra
Math 445/540 Algebra Topology



Mentorship

PhD Students

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. May 2017
    Thesis: Derivatives of genus one and three knots
Anthony Bosman, Ph.D. May 2017
    Thesis: Shake slice and shake concordant links
Miriam Kuzbary, Ph.D. May 2019
    Thesis: Link concordance and groups
Sarah Seger, Ph.D. May 2019
    Thesis: Lower order solvability, Seifert forms, and Blanchfield forms of links
Shawn Williams, Ph.D. expected May 2022
    Thesis: Extensions of the Fox-Milnor conditions for knots and links
Alex Manchester, Ph.D. expected May 2024

Postdocs

Keiko Kawamuro, Associate Professor at University of Iowa, 2006--2009.
Elena Pavelescu, Associate Professor at University of South Alabama, 2008--2011.
Danielle O'Donnol, Assistant Professor at Marymount University, 2008--2011.
Prudence Heck, Vice President at Global Valuations Group, 2009--2012.
Eamonn Tweedy, Associate Professor at Widener University, 2011--2014.
Ina Petkova, Assistant Professor at Dartmouth University, 2012--2015.
Allison H. Moore, Assistant Professor at Virginia Commonwealth University, 2013--2016.
David Krcatovich, Machine Learning Scientist at Ford Motor Company, 2014--2017.
Neil Fullarton, Math Curriculum Designer at IXL Learning, 2016--2018.
Allison Miller (NSF Postdoc), Assistant Professor at Swarthmore College, 2018--2021.
Jason Joseph, current, 2020--present.
Nickolas Castro, Associate Professor at University of South Alabama, 2021--present.



Conferences Organized

Mentoring in the Mathematical Sciences, Rice University, November 4--5, 2023.
“Texas Women in Mathematics Symposium, ” Rice University, February 5–6, 2022.
AMS Special Session on “Knots, links, 3-manifolds,... and 4-manifolds” at the Joint Mathematical Meetings, January 2021.
AIM workshop on "Distinguishing smooth concordance classes of topologically slice knots and links," June 3–7, 2019.
2019 AWM Research Symposium, Rice University, April 6-7, 2019.
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 Second Louisiana-Texas-Topology-Retreat (LTTR), February 3-4, 2007
2006 Texas Geometry and Topology Conference at Rice University, Oct 27-29, 2006



Selected Talks

Knotting and Linking in 4-dimensions; Rice Undergraduate Colloquium, Fall 2022.
A non discrete metric on the group of topologically slice knots; Conference on Topology in Dimensions 3, 3.5, and 4 (in honor of Abby Thompson, Marty Scharleman, and Rob Kirby), UC Berkeley, June 2018.
Fractal nature of the space of knotted curves; Colloquium, Monash University, Melbourne, Australia, March 2018.
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.