Jacob Rasmussen

Contact Information:

Office: CMS E.2.02
Phone: (+44) 1223 764287
Email: J.Rasmussen@dpmms.cam.ac.uk

Research Interests:

Low-dimensional topology
Heegaard Floer homology
Khovanov homology


Papers and Preprints:

(1) "Torus Knots and the rational DAHA," with Eugene Gorsky, Alexei Oblomkov, and Vivek Shende, to appear in Duke Math. Journal. arXiv

(2) "On stable Khovanov homology of torus knots," with Eugene Gorsky and Alexei Oblomkov, Experimental Mathematics 22 (2013), 265-281. arXiv

(3) "The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link," with Alexei Oblomkov and Vivek Shende, arXiv

(4) "Sutured Floer homology and hypergraphs," with András Juhász and Tamás Kálmán, Math. Res. Lett. 19 (2012), 1309-1328 . arXiv

(5) "The decategorification of sutured Floer homology," with Stefan Friedl and András Juhász, J. Top. 4 (2011), 431-478. arXiv

(6) "Odd Khovanov homology," with Peter Ozsváth and Zoltán Szabó, Alg. Geom. Top. 13 (2013), 1465-1488. arXiv

(7) "Lens space surgeries and L-space homology spheres," arXiv

(8) "Some differentials on Khovanov-Rozansky homology," arXiv

(9) "Khovanov-Rozansky homology of two-bridge knots and links," Duke Math. Journal 136 (2007), 551-583. arXiv

(10) "The superpolynomial for knot homologies," with Nathan Dunfield and Sergei Gukov, Experimental Mathematics 15 (2006), 129-161. arXiv

(11) "Khovanov's invariant for closed surfaces" (unpublished note). arXiv

(12) "Knot homologies," in Geometry and Topology of Manifolds , Boden et. al. eds., Fields Institute Communications 47 , (2005), 261-280. arXiv

(13) "Khovanov homology and the slice genus," Inventiones Mathematicae . arXiv

182 , (2010), 419-447. (14) "Lens space surgeries and a conjecture of Goda and Teragaito," Geometry and Topology 8 (2004), 1013-1031. arXiv

(15) "Floer homology and knot complements" (my thesis). arXiv

(16) "Floer homology of surgeries on two-bridge knots," Algebraic and Geometric Topology 2 (2002), 757-89. arXiv

Courses I am teaching:

Algebraic Topology (Part III)

Course Information

Example Sheet 1

Example Sheet 2

Example Sheet 3

Handout on Subdivision Lemma

Handout on Fundamental Class

Old Courses


Dror Bar-Natan's excellent Knot Atlas

Iliad A