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Scholarly Interest Report
         
Shelly Harvey
Professor
Professor of Mathematics
 
e-mail:shelly@rice.edu
 
  • B.S. Mathematics (1993) California Polytechnic State University, San Luis Obispo, CA
  • Ph.D. Mathematics (2002) Rice University, Houston, TX
 
Primary Department
   Department of Mathematics
Picture
 
Websites
 Shelly Harvey's Home Page
 
Research Areas
 Knot Concordance, Geometric Topology, Group Theory, Non-commutative Algebra
 
Selected Publications
 Refereed articles
 

Shelly Harvey and Danielle O'Donnol "Heegaard Floer homology of spatial graphs ." Algebraic and Geometric Topology: 59 pages.In Press


http://arxiv.org/abs/1506.04785
 
 

Tim Cochran, Shelly Harvey, and Mark Powell "Grope metrics on the knot concordance set ." J. Topolol. : 32 pages.In Revision


http://arxiv.org/abs/1512.06897
 
 

Tim Cochran, Shelly Harvey, and Peter Horn, "Filtering smooth concordance classes of topologically slice knots.", Geom. Topol. 17 (2013), no. 4, 2103–2162. 

 
 

Tim D. Cochran, Shelly Harvey, and Peter Horn, "Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders." Int. Math. Res. Not. (2012), no. 14, 3311–3373.

 
 

Tim D. Cochran, Shelly Harvey, and Constance Leidy "2-Torsion in the n-solvable filtration of the knot concordance group." Proc. London Math. Soc. (3) 102 (2011), no. 2, 257--290.

 
 

Tim Cochran, Shelly Harvey, and Constance Leidy "Primary Decomposition and the Fractal Nature of Knot Concordance."  Math. Ann. (2011), no. 2, 443--508.

 
 

Tim D. Cochran and Shelly Harvey "Homological stability of series of groups." Pacific J. Math. 246 (2010), no. 1, 31–47.

 
 

Tim Cochran, Shelly Harvey, and Constance Leidy "Derivatives of knots and second-order signatures." Algebr. Geom. Topol. 10 (2010), no. 2, 739–787.

 
 

Shelly Harvey, Keiko Kawamuro and Olga Plamenevskaya "On transverse knots and branched covers." Int. Math. Res. Not. IMRN  (2009),  no. 3, 512--546.

 
 

Tim Cochran, Shelly Harvey, and Constance Leidy "Knot concordance and higher-order Blanchfield duality." Geom. Topol.  13  (2009),  no. 3, 1419--1482.

 
 

Shelly Harvey "Homology Cobordism Invariants and the Cochran-Orr-Teichner Filtration of the Link Concordance Group." Geometry & Topology, 12 (2008) : 387-430.

 
 

Tim Cochran and Shelly Harvey "Homology and Derived Series of Groups II: Dwyer's Theorem." Geometry & Topology, 12 (2008) : 191-232.

 
 

Tim Cochran and Shelly Harvey "Homology and Derived p-Series of Groups." Journal London Math. Soc., 8 (3) (2008) : 677-692.

 
 

Tim Cochran, Shelly Harvey and Constance Leidy "Link Concordance and Generalized Doubling Operators." Algebraic & Geometric Topology, 8 (2008) : 1593-1646.

 
 

Stefan Friedl and Shelly Harvey "Non-commutative Multivariable Reidemeister Torsion and the Thurston Norm." Algebraic & Geometric Topology, 7 (2007) : 755-777.

 
 

Shelly Harvey "Monotonicity of Degrees of Generalized Alexander Polynomials of Groups and 3-Manifolds." Mathematical Proceedings of the Cambridge Philosophical Society, 140, no. 3 (2006) : 431--450.

 
 

Shelly Harvey "Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm." Topology, 44(5) (2005) : 895-945.

 
 

Tim Cochran and Shelly Harvey "Homology and derived series of groups." Geometry & Topology, 9 (2005) : 2159-2191.

 
 Articles
 

J. Elisenda Grigsby, Shelly Harvey, Kent Orr, Danielle Ruberman "Tim Cochran." Journal of Knot Theory and its RamificationsIn Press

 
 Conference papers
 

Tim Cochran and Shelly Harvey "The Geometry of the Knot Concordance Space." Oberwolfach Reports, 26 (2014) : 1428--1428.

 
 

Shelly Harvey and Danielle O'Donnol, "Combinatorial Spatial Graph Floer Homology." Oberwolfach Reports, Volume 9, Issue 2 (2012), 1740-1742.

 
 

Tim Cochran, Shelly Harvey and Constance Leidy "Knot Concordance and Blanchfield Duality." Oberwolfach Reports, Volume 3, Issue 2 (2006)

 
Presentations
 Conference Committee Member
 

Lead organizer of “Topology in Dimension 3.5: A conference in memory of Tim Cochran,” Rice University, June 1–4, 2016.

 
 

Member of the organizing committee for the AWM Research Symposium 2015, University of Maryland, College Park, April 11 -12, 2015.

 
 

Co-organizer of the Special Session on Low-Dimensional Topology at the AWM Research Symposium, University of Maryland, College Park, April 11–12, 2015.

 
 Invited Talks
 

Presenter.  "A rational valued metric on the knot concordance group coming from gropes.." Conference on 4-manifolds and knot concordance, Max-Planck-Institut fur Mathematik, Bonn, Germany. (October 20, 2016) With Tim Cochran and Mark Powell

 
 

Presenter.  "Cut number of homology handlebodies." Seminar on knot concordance and 4-manifolds, Hausdorff Research Institute for Mathematics, Bonn, Germany. (October 24, 2016)

 
 

Presenter.  "A rational valued metric on the knot concordance group coming from gropes.." Colloquium, Syracuse University, (March 6, 2015) With Tim Cochran and Mark Powell

 
 

Presenter.  "A rational valued metric on the knot concordance group coming from gropes.." Brandeis Topology Seminar, (April 14, 2015) With Tim Cochran and Mark Powell

 
 

Presenter.  "Heegaard Floer homology of spatial graphs." Special Session on Spatial Graphs, AMS Fall Western Sectional Meeting, Fullerton, CA. (October 24, 2015)

 
 

Plenary Speaker.  "The Geometry of knot concordance space." Knots and Low-Dimensional Manifolds, A Satellite Conference of Seoul ICM 2014, Busan, Korea. (August 24, 2014) With Tim Cochran

 
 

Presenter.  "A rational valued metric on the knot concordance group coming from gropes." University of Texas Topology Seminar, (October 27, 2014) With Tim Cochran and Mark Powell

 
 

Presenter.  "Metric aspects of knot concordance." Special Session on Invariants in Low-Dimensional Topology, AMS Spring Eastern Sectional Meeting , Baltimore, MD. (March 30, 2014) With Tim Cochran

 
 

Presenter.  "The geometry of knot concordance spaces." Special Session on Knot Concordance and 4-Manifolds, AMS Fall Central Section Meeting, University of Wisconsin, Eau Claire. (September 20, 2014) With Tim Cochran

 
 

Presenter.  "The geometry of the knot concordance space." Algebraic Structures in Low-Dimensional Topology, Mathematische Forschungsinstitut, Oberwolfach, Germany. (May 26, 2014) With Tim Cochran

 
 

Presenter.  "Non-commutative knot Floer homology," Rolfsenfest - Conference on Low Dimensional Topology, Knots, and Orderable Groups in honor of Dale Rolfsen, Luminy-Marseille, France.  (July 2, 2013) with Tim Cochran, Peter Horn, and Constance Leidy

 
 

Presenter.  "Filtering Smooth Concordance classes of Topologically Slice Knots," Special session on Low-Dimensional Topology at the 2012 AMS Spring Southeastern Sectional Meeting at the University of South Florida, Tampa, FL. (March 10, 2012) with Tim Cochran and Peter Horn

 
 

Presenter.  "4-Dimensional Equivalence Relations on Knots," Colloquium, University of Iowa.  (May 3, 2012) with Tim Cochran and Peter Horn

 
 

Presenter.  "Combinatorial Spatial Graph Floer Homology," Special Session on Combinatorial Methods in Knot Theory at the Fall Southeastern Sectional Meeting, Tulane University, New Orleans, LA.  (October 13, 2012) with Danielle O'Donnol

 
 

Presenter. "Combinatorial Spatial Graph Floer Homology," Topology Seminar at Michigan State University. (October 31, 2012) with Danielle O'Donnol

 
 

Presenter. "Combinatorial spatial graph Floer homology," Columbia Symplectic Geometry, Gauge Theory, and Categori cation Seminar, Columbia University. (March 30, 2012) with Danielle O'Donnol

 
 

Presenter.  "Combinatorial spatial graph Floer homology," Special Session on Knot Theory and 4-Manifolds, AMS sectional meeting, Akron, Ohio. (October 20, 2012) with Danielle O'Donnol

 
 

Presenter. "Combinatorial spatial graph Floer homology," Workshop on Invariants in Low-Dimensional Topology and Knot Theory," Mathematische Forschungsinstitut, Oberwolfach, Germany. (June 3 - 9, 2012) with Danielle O'Donnol

 
 

Presenter.  "Filtering Smooth Concordance classes of Topologically Slice Knots,"  Midwest Topology Conference, East Lansing, Michigan. (October 27, 2012) with Tim Cochran and Peter Horn

 
 

Presenter. "Filtering smooth concordance classes of topologically slice knots ." UC Berkeley Topology Seminar, Berkeley, CA. (April 14, 2012) With Tim Cochran and Peter Horn 

 
 

Speaker.  "Filtering Smooth Concordance classes of Topologically Slice Knots." The first annual Tech Topology Conference, Georgia Tech, Atlanta, GA. (December 9, 2011) With Tim Cochran and Peter Horn

 
 

Speaker.  "Combinatorial Floer homology for spatial graphs." Special session on Invariants in Knot Theory and Low-Dimensional Topology at the 2011 AMS Central Sectional Meeting, Lincoln, NE. (October 15, 2011) With Danielle O'Donnol

 
 

Coauthor.  "Filtering Smooth Concordance Classes of Topologically Slice Knots." MAA/AMS Joint Mathematics Meetings, New Orleans, LA. (January 8, 2011) With Tim Cochran and Peter Horn

 
 

Speaker.  "Filtering smooth concordance classes of topologically slice knots." Special Session on Knots, Surfaces and 3-manifolds at the 2011 AMS Western Sectional Meeting, Las Vegas, NV. (April 30, 2011) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Invariants of spatial graphs." AMS/MAA Joint Mathematics Meeting, New Orleans, LA. (January 8, 2011) With Danielle O'Donnol

 
 

Coauthor.  "Invariants of spatial graphs: graph Floer homology." Special Session of Geometric Topology at the 46th Annual Spring Topology and Dynamics Conference, University of Texas at Tyler. (March 18, 2011) With Danielle O'Donnol

 
 

Coauthor.  "The fractal nature of knot concordance." Special Session on Knots, Surfaces and 3-manifolds at the 2011 AMS Western Sectional Meeting, Las Vegas, NV. (April 30, 2011) With Tim Cochran and Constance Leidy

 
 

Coauthor. "Filtering Smooth Concordance classes of Topologically Slice Knots." Knot Concordance and Homology Cobordism, Wesleyan University, Middletown, Connecticut. (Jul 23, 2010) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Filtering Smooth Concordance classes of topologically Slice knots." Topology Seminar Brandeis University, Waltham , Mass. (December 2010) With Tim Cochran and Peter Horn

 
 

Coauthor. "Filtering Smooth Concordance Classes of Topologically Slice Knots." Topology/Geometry Seminar, Rutgers University, New Brunswick, New Jersey. (November 16, 2010) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Higher-order signature cocycles for subgroups of mapping class groups." Topology Seminar, California Institute of Technology , (February 12, 2010) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Higher-order signature cocycles for subgroups of the mapping class group." Special Session on Invariants of Knots, Links, and 3-Manifolds, AMS Eastern Sectional Meeting, New Jersey Institute of Technology. (May 22, 2010) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Higher-order signature cocycles for subgroups of the mapping class group." Knot Concordance and Homology Cobordism, Wesleyan University, Middletown, Connecticut. (July 19,2010) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Higher-order signature cocycles for subgroups of the mapping class group ." Geometry and Topology Seminar, CUNY. (April 29, 2010) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Higher-order signature cocycles for subgroups of the mapping class group ." Topology Seminar, University of Virginia. (April 8, 2010) With Tim Cochran and Peter Horn

 
 

Presenter.  "Knot and Link Concordance." Connections for Women: Homology Theories of Knots and Links, Mathematical Sciences Research Institute, Berkeley, CA. (January 21, 2010)

 
 

Coauthor .  "The secret algebraic lives of hyperbolic 3-manifolds." Number theory and Topology, Oberwolfach Math Institute, Oberwolfach, Germany. (August 20, 2010) With Tim Cochran and Constance Leidy

 
 

Presenter. "Towards a primary decomposition of the n-solvable quotients of the knot concordance group." Knot Concordance and Homology Cobordism, Wesleyan University, Middletown, Connecticut. (Jul 20, 2010) With Shelly Harvey and Constance Leidy

 
 

Presenter.  "Filtrations of the Knot Concordance Group." Los Angeles Joint Topology Seminar, California Institute of Technology. (12/4/2009) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Groups associated to knots and 3-manifolds." More Examples of Groups, Ohio State University. (5/11/2009 and 5/13/2009)

 
 

Coauthor.  "Knots and the fourth dimension." University of Connecticut Math Club, University of Connecticut. (9/23/2009) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Subgroups of the mapping class group and higher-order signature cocycles." Mathematics Colloquium, University of Indiana, Bloomington. (3/7/2009) With Tim Cochran and Peter Horn

 
 

Presenter.  "Subgroups of the mapping class group and higher-order signature cocycles." Texas Geometry and Topology Conference, University of Houston. (2/21/2009) With Tim Cochran and Peter Horn

 
 

Coauthor.  "The complexity of the structure of the knot concordance group." Geometry-Topology Seminar, University of Pennsylvania. (1/29/2009) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "The complexity of the structure of the knot concordance group." Geometry & Topology seminar, Dartmouth College. (10/27/2009) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Torsion in the knot concordance group." 2009 Georgia International Topology Conference, University of Georgia. (5/26/2009 ) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Torsion in the knot concordance group." Cascade Topology Conference, University of Oregon. (10/24/2009) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Filtrations of the Knot Concordance Group." University of California, Riverside Colloquium, (12/03/2008) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Filtrations of the knot concordance group." 50 years since Fox and Milnor: a conference in honor of the memory of Jerry Levine, Brandeis University. (06/04/2008) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "Higher-Order Signature Cocycles for Subgroups of the Torelli Group." Finite Type Invariants, Fat Graphs, and Torelli-Johnson-Morita Theory Workshop, Center for the Topology and Quantization of Moduli Spaces, University of Aarhus, Denmark. (04/04/2008) With Tim Cochran and Peter Horn

 
 

Presenter.  "Higher-Order Signature Cocycles for Subgroups of the Torelli Group." 2008 AMS Spring Southeastern Meeting, Baton Rouge, LA. (03/30/2008) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Second-Order signatures of Knots." 50 Years since Fox and Milnor: a conference in honor of the memory of Jerry Levine, Brandeis University. (06/02/2008) With Tim Cochran and Constance Leidy

 
 

Presenter.  "The (n)-Solvable Filtration of the Knot Concordance Group." 2008 AMS Spring Southeastern Meeting,, Baton Rouge, LA. (03/28/2008) With Tim Cochran and Constance Leidy

 
 

Presenter.  "The complexity of the structure of the knot concordance group." Wesleyan University Colloquium, Middletown, CT. (08/22/2008)

 
 

Coauthor.  "The complexity of the structure of the knot concordance group." Valley Geomtry Seminar, U. Mass Amherst. (11/21/2008) With Tim Cochran and Constance Leidy

 
 

Co-author.  "Generalizations of Gropes." Geometric Topology Conference, Peking University, Beijing, China. (06/19/2007) With Tim Cochran, Carol Gee, and Constance Leidy

 
 

Co-author.  "Generalizations of Gropes." AMS Special Session on Knots, 3-Manifolds, and their Invariants, New Orleans, LA. (01/05/2007) With Tim Cochran, Carol Gee, and Constance Leidy

 
 

Presenter.  "Homology and Derived p-series of Groups." Workshop on 3-Manifold Geometry and Topology, Warwick Mathematics Institute, Coventry, England. (07/10/2007) With Tim Cochran

 
 

Co-author.  "Homology and p-series of Groups." William Rowan Hamilton Geometry and Topology Workshop, Hamilton Mathematics Institute, Trinity College, Dublin, Ireland. (09/07/2007) With Tim Cochran

 
 

Presenter.  "Iterated Torsion-free Abelian Covers and L2-Betti Numbers of 3-Manifolds." William Rowan Hamilton Geometry and Topology Workshop, Hamilton Mathematics Institute, Trinity College, Dublin, Ireland. (09/07/2007)

 
 

Presenter.  "Knot Concordance and Blanchfield Duality." AMS Special Session on Knots, 3-Manifolds, and their Invariants, New Orleans, LA. (01/06/2007) With Tim Cochran and Constance Leidy

 
 

Presenter.  "The (n)-Solvable Filtration of the Knot Concordance Group." Louisiana Texas Topology Retreat (LSU), Baton Rouge, LA. (02/03/2007) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Group Theoretic Invariants of Links and 3-Manifolds." 3-Manifolds After Perelman, Edinburgh, Scotland. (March 14, 2006)

 
 

Presenter.  "New Phenomena in Knot and Link Concordance." 4-Dimensional Manifolds, Mathematische Forschungsinstitut, Oberwolfach, Germany. (August 7, 2006) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "Concordance of Classical Links and Homology Cobordism of 3-Manifolds." 3-Manifolds and Knot Theory: GordonFest, University of Texas, Austin. (May 21, 2005) With Tim Cochran

 
 

Speaker.  "Homology Cobordism of Manifolds and L2 Signatures." Conference on "Submanifolds, Singular Varieties and Stratified Spaces" in honor of Julius Shaneson, Courant Institute, NYC. (March 2005)

 
 Keynote Speaker
 

Keynote Speaker.  "Using gropes to define a non-discrete metric on the knot concordance group." Texas Women in Mathematics Symposium, University of Texas at Austin, (November 5, 2016)

 
 

Co-author. "Knots in 4­-dimensions: non-commutative algebra and fractals.," Colloquium, Syracuse University.  (February 15, 2013) with Tim Cochran

 
 

Co-author.  "Knots, 4-­Dimensions and Fractals," Fall Central Sectional Meeting, University of Akron, Akron, OH.  (October 20, 2012) with Tim Cochan (speaker) and Peter Horn

 
 

Plenary Speaker.  "4-dimensional equivalence relations on knots." Fall Southeastern Section Meeting at Wake Forest University, Winston-Salem, NC . (September 24, 2011) With Tim Cochran and Peter Horn

 
 

Presenter.  "Classical Knot Concordance and Blanchfield Duality." Geometric Topology Conference, Peking University, Beijing, China. (06/19/2007) With Tim Cochran

 
 

Keynote Speaker.  "I. Non-commutative Invariants of 3-manifolds giving Lower Bounds for the Thurston Norm II. Homology and Derived Series of Groups and Rank Invarants of Links III. Homology Cobordism of Invariants of Links and 3-manifolds via L2-rho Invariants." The Third KAIST Geometric Topology Fair, Gyeongju and Taejon (KAIST), South Korea. (June 29-July 2, 2005)

 
 Lectures
 

Co-author.  "Untying Knots in 4-Dimensions." Dean of Natural Sciences Lecture Series, Rice University, Houston, TX. (04/19/2007) With Tim Cochran and Constance Leidy

 
 

co-author.  "Grope Filtrations of Homology Cobordism." Louisiana-Texas Topology Retreat, Baton Rouge, Louisiana. (March 25, 2006) With Tim Cochran

 
 

co-author.  "Groping Around Link Concordance." PCMI Low-Dimensional Topology, Park City, Utah. (July 7, 2006) With Tim Cochran

 
 

co-author.  "Group Theoretic Invariants of Homology Equivalence and Homology Cobordism." Columbia University Gauge Theory Seminar, New York, New York. (April 14, 2006) With Tim Cochran

 
 

presenter.  "Group Theoretic Invariants of Links and 3-Manifolds." Knots, Groups and 3-Manifolds, Marseille, France. (May 22, 2005)

 
 

Lecturer.  "Knot Theory in K-12 Education." Rice's Mathematical Leadership Institute's Summer Lecture Series, Houston, TX. (June 2005)

 
 

Lecturer.  "Knot, Braids and Links." MIT Math Club, Massachusetts Institute of Technology. (Spring 2005)

 
 Other
 

Semi-plenary speaker.  "Filtering smooth concordance classes of topologically slice knots." 46th Annual Spring Topology and Dynamics Conference, University of Texas at Tyler. (March 18, 2011) With Tim Cochran and Peter Horn

 
 Seminar Speaker
 

Coauthor.  "Filtering Topologically Slice Knots." Topology Seminar, Weslayan University. (November 2, 2011) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Filtering Topologically Slice Knots." Thursday Topology Seminar, SUNY Stony Brook. (October 6, 2011) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Filtering smooth concordance classes of topologically slice knots." Princeton University Topology Seminar, (February 3, 2011) With Tim Cochran and Peter Horn

 
 

Coauthor.  "Commutator series and the derived series localized at P." Algebra Seminar, Wesleyan University. (9/2009) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "Knots and the fourth dimension." Math Lunch Talk, Smith College. (3/2009) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "New Characteristic Series for Groups and the Fractal Nature of Knot Concordance." Topology Seminar, Indiana University. (3/6/2009) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "Torsion in the knot concordance group." Wesleyan Math Department, Wesleyan University. (9/2009) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "Derivatives of Knots and Second-order signatures." U. Cal. Berkeley, (04/24/2008) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "Derivatives of Knots and Second-order signatures." Columbia University, New York. (03/28/2008) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "Knot Concordance and Blanchfield Duality." Boston College, Boston, MA. (03/28/2008) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Signature Cocycles for the Torelli Group." Brandeis University Topology Seminar, Waltham, MA. (11/11/2008) With Tim Cochran and Constance Leidy

 
 

Coauthor.  "The complexity of the structure of the knot concordance group." CUNY Graduate Center, New York. (08/29/2008) With Tim Cochran and Constance Leidy

 
 

Co-author.  "Derivatives of Knots and Higher-Order Signature Invariants." Topology Seminar, UT Austin, Austin, TX. (11/26/2007) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Infinite Generation in the COT Filtration of the Knot Concordance Group." Topology Seminar, UT Austin, Austin, TX. (11/26/2007) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Knot Concordance and Blanchfield Duality." Columbia University Geometric Topology Seminar, New York, NY. (10/12/2007) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Knot Concordance and Blanchfield Duality." University of Chicago Geometry and Topology Seminar, Chicago, IL. (05/24/2007) With Tim Cochran and Constance Leidy

 
 

Co-author.  "Knots and the Fourth Dimension." Bryn Mawr/Haverford Math Colloquium at Bryn Mawn College, Bryn Mawr, PA. (01/29/2007) With Tim Cochran and Constance Leidy

 
 

Presenter.  "On the Enormity of the Knot Concordance Group." Colloquium, Mathematics Department, Weslayen University, Middletown, CT. (10/18/2007) With Tim Cochran and Constance Leidy

 
 

Presenter.  "Structure in The Knot Concordance Group." MIT Geometry Seminar, Cambridge, MA. (10/22/2007) With Tim Cochran and Shelly Harvey

 
Editorial Positions
 Editor for Special Issue, Journal of Knot Theory and its Ramifications. (2015 - 2015)

 Editor for Special Issue, Journal of Knot Theory and Its Ramifications . (2016 - 2016)

Supervised Theses & Dissertations
 Jamie Jorgensen, Ph.D. Surface Homeomorphisms That Do Not Extend to Any Handlebody and the Johnson Filtration. (2008) (Thesis Committee Member)

 Peter Horn, Ph.D. Higher-order Analogues of Genus and Slice Genus of Classical Knots. (2009) (Thesis Committee Member)

 Andrew Elliot, Ph.D. State cycles, Quasipositive modification, and constructing H-thick knots in Khovanov homology. (2010) (Thesis Committee Member)

 Carolyn Otto, Ph.D. Milnor's Invariants and the (n)-Solvable Filtration of the Link Concordance Group. (2011) (Thesis Director)

 Bridget Franklin, Ph.D. The Effect of Infection on Knot Concordance. (2012) (Thesis Committee Member)

 Christopher Davis, Ph.D. L^2 Signature Invariants and Knot Concordance. (2012) (Thesis Committee Member)

 Daniel Tanner, Ph.D. Homology Cobordism of 3-Manifolds. (2013) (Thesis Committee Member)

 Reagin Taylor McNeill, Ph.D. A New Filtration of the Magnus Kernel. (2013) (Thesis Director)

 Taylor Martin, Ph.D. Lower order solvability of links. (2013) (Thesis Director)

 Arunima Ray, Ph.D. Satellite Operations in Knot Concordance. (2014) (Thesis Committee Member)

 Diego Vela, Ph.D. Infection by a string link. (2015) (Thesis Committee Member)

 Kenan Ince, Ph.D. Generalized unknotting number of knots. (2016) (Thesis Committee Member)

 Katherine Poulsen, Ph.D. Tau invariants of spatial graphs. (2016) (Thesis Director)

 Anthony Bosman, Ph.D. Shake slice links. (2017) (Thesis Committee Member)

 Jung Hwan Park, Ph.D. Knot Concordance and the Seifert surface. (2017) (Thesis Director)

 Anthony Bosman, PhD Shake slice links. (2017) (Thesis Director)

 Sarah Seger, Ph.D. 0.5 Solvability and the Blanchfield form. (2018) (Thesis Director)

 Miriam Kuzbary, Ph.D. Concordance Invariants of String Links. (2018) (Thesis Director)

Awards, Prizes, & Fellowships
 Simons Fellow in Mathematics, Simons Foundation (7/1/14)

 Fellow of the American Mathematical Society, (November 2012)

 NSF Faculty Early Career Development (CAREER) Award, National Science Foundation (05/15/2008)

 Sloan Research Fellowship, Alfred P. Sloan Foundation (March 2006)

Positions Held
 Member of the American Mathematical Sciences Nominating Committee, American Mathematical Society. (2016 - 2016)