Peter D. Horn, Ph.D.
Affiliations: | 2009 | Rice University, Houston, TX |
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MathematicsGoogle:
"Peter Horn"Parents
Sign in to add mentor| Tim D. Cochran | grad student | 2009 | Rice University | |
| (Higher-order analogues of genus and slice genus of classical knots.) | ||||
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Publications
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| Cochran TD, Horn PD. (2015) Structure in the bipolar filtration of topologically slice knots Algebraic and Geometric Topology. 15: 415-428 |
| Horn PD. (2014) On computing the first higher-order alexander modules of knots Experimental Mathematics. 23: 153-169 |
| Cochran TD, Harvey S, Horn P. (2013) Filtering smooth concordance classes of topologically slice knots Geometry and Topology. 17: 2103-2162 |
| Cochran TD, Franklin BD, Hedden M, et al. (2013) Knot concordance and homology cobordism Proceedings of the American Mathematical Society. 141: 2193-2208 |
| Cochran TD, Harvey S, Horn PD. (2012) Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders International Mathematics Research Notices. 2012: 3311-3373 |
| Horn PD. (2011) Higher-order analogues of the slice genus of a knot International Mathematics Research Notices. 2011: 1091-1106 |
| Horn PD. (2010) The non-triviality of the grope filtrations of the knot and link concordance groups Commentarii Mathematici Helvetici. 85: 751-773 |
| Horn PD. (2010) A higher-order genus invariant and knot floer homology Proceedings of the American Mathematical Society. 138: 2209-2215 |
| Horn PD. (2009) The first-order genus of a knot Mathematical Proceedings of the Cambridge Philosophical Society. 146: 135-149 |