Peter D. Horn
NSF Postdoc
Papers
My research interests are low-dimensional topology, knot theory, and the pertinent group theory. I am here at Columbia to study what implications Heegaard Floer homology has in knot concordance.
For more information, visit my research page.
- Filtering smooth concordance classes of topologically slice knots
joint with Tim Cochran and Shelly Harvey
available at arXiv: 1201.6283 - Knot concordance and homology cobordism
joint with Tim Cochran, Bridget Franklin and Matt Hedden
To appear in Proceedings of the American Mathematical Society.
available at arXiv: 1102.5730 - Higher-order Signature Cocycles for Subgroups of Mapping Class Groups and Homology Cylinders
joint with Tim Cochran and Shelly Harvey
International Mathematics Research Notices, 2011, doi:10.1093/imrn/rnr14
Available through the publisher or at arXiv: 1003.4977 - A Higher-order Genus Invariant and Knot Floer Homology
Proceedings of the American Mathematical Society, 138, (2010), 2209-2215.
Available through the publisher or at arXiv: 0901.2095 - Higher-order Analogues of the Slice Genus of a Knot
International Mathematics Research Notices, 2011, no. 5, 1091-1106.
Available through the publisher or at arXiv: 0807.0434 - The Non-triviality of the Grope Filtrations of the Knot and Link Concordance Groups
Commentarii Mathematici Helvetici, 85, (2010), no. 4, 751-773.
Available through the publisher or at arXiv: 0804.2661 - The First-order Genus of a Knot
Mathematical Proceedings of the Cambridge Philosophical Society, 146, (2009), 135-149.
Available through the publisher or at arXiv: 0712.1010 - Modeling the Impact of Forest Fragmentation on Predator-Prey Systems
with Ryan Westbrook
Pi Mu Epsilon Journal, 12 (2004), no. 1.