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

My CV


Papers:

(1) "Some differentials on Khovanov-Rozansky homology" (preprint). arXiv

(2) "Khovanov-Rozansky homology of two-bridge knots and links," to appear in Duke Math. Journal. arXiv

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

(4) "Khovanov's invariant for closed surfaces" (unpublished note).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

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

(6) "Khovanov homology and the slice genus," to appear in Inventiones Mathematicae . arXiv

(7) "Lens space surgeries and a conjecture of Goda and Teragaito," Geometry and Topology 8 (2004), 1013-1031. arXiv

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

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


Courses I am teaching:

Geometry (Part IB)

Example Sheet 1

Example Sheet 2

Example Sheet 3

Geodesic polar coordinates

Knots and 4-Manifolds (Part III)

Example Sheet 1

Example Sheet 2

Example Sheet 3

Example Sheet 4

Sample Exam Figures forSample Exam

Old Courses:

Algebraic Topology (part II)

Example Sheets

Seifert Van-Kampen

Algebraic Topology (part III)

Example Sheet 1

Example Sheet 2

Example Sheet 3

Example Sheet 4

Four-Manifolds

Example Sheet 1

Solution Sheet 1

Example Sheet 2

Example Sheet 3

What's Examinable; What's Not


Links:

Dror Bar-Natan's excellent Knot Atlas

Iliad A