WILLIAM DANIEL GILLAM


(Picture)



Office: 408 Mathematics
Phone: (212)-854-5881
Fax: (212)-854-8962
Address:
Department of Mathematics
Columbia University
2990 Broadway, MC 4406
New York, NY 10027
Email:
wgillam@math.columbia.edu

PUBLICATIONS AND PREPRINTS



Cleanliness of geodesics in hyperbolic 3-manifolds.
(with C. Adams, A. Colestock, J. Fowler, and E. Katerman)
Pacific J. Math. 213 (2004), no. 2, 201-211.
[Download .PS] [Download .PDF]

Cusp size bounds from singular surfaces in hyperbolic 3-manifolds.
(with C. Adams, A. Colestock, J. Fowler, and E. Katerman)
Trans. Amer. Math. Soc. 358 (2006) 727-741.

The embeddability ordering of topological spaces.
Wesleyan University Master's Thesis. Advisor: W. W. Comfort

The embeddability ordering of topological spaces.
(with W. W. Comfort)
Top. App. 153 (2006) 2192-2198.
[Download .PS] [Download .PDF]

Embeddability properties of countable metric spaces.
Top. App. 148 (2005) 63-82.
[Download .PS] [Download .PDF]

Computability of a topological poset.
Top. App. 153 (2006) 1132-1140.
[Download .PS] [Download .PDF]
Some calculations for this paper were carried out by computer.
This C++ program should compile on most systems without difficulty.
[Download .CPP]


A sheaf-theoretic description of Khovanov's knot homology.
[Download .PDF]

Knot homology of (3,m) torus knots.
[Download .PDF]

Computations of Heegaard Floer knot homology.
(with John A. Baldwin)
[Download .PDF]
Also see my related website where you can find a few computer programs.

The Crepant Resolution Conjecture for an involution of 3d flags.
Submitted to J. Alg. Geom.
[Download .PDF]

Hyperelliptic Gromov-Witten Theory.
[Download .PDF]


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W. D. Gillam