Math 549. Elliptic cohomology . Fall , 2003.
Links to online sources.

For more references, see the bibliography page.
 
Elliptic curves
Elliptic curves in the Mathematical Atlas
This site contains numerous links to other sources
Elliptic Curves by J. S. Milne (158 pages)
Elliptic Curve Handbook by Ian Connell (~250 pages)
Elliptic curve software
Elliptic Curves and Elliptic Functions
by Charles Daney (5 pages)
  Formulaire.m
Mathematica program by Neil Strickland with
formulae for elliptic curves, taken from a paper by Deligne.

 
Elliptic cohomology
Elliptic Cohomology and Chromatic Phenomena
Lecture notes from a conference held at
the Newton Institute in December, 2002
Problems in Elliptic cohomology
by Mark Hovey
Elliptic Cohomology
Slides for a survey talk given by Neil Strickland at
 the 2003 British Mathematical Colloquium in Birmingham.
From elliptic curves to homotopy theory 
Preprint by Mike Hopkins and Mark Mahowald 
D. C. Ravenel,  P. S. Landweber and R. E. Stong
Periodic cohomology theories defined by elliptic curves
in The Cech Centennial: A Conference on Homotopy Theory
(edited by M. Cenkl and H. R. Miller), pages 317-338,
Contemporary Mathematics 181, American Mathematical Society, 1995. 

 
Topological modular forms
M. Hopkins: Algebraic topology and modular forms
(Talk at the 2002 ICM, Beijing)
M. Hopkins: Algebraic topology and differential forms IV
 (Talk at Kavli Institute for Theoretical Physics -
 available as slides, audio-stream and web-cam)
C. Rezk : Supplementary notes for Math 512
Notes based on a course on topological modular forms
P. Goerss : (Pre-)sheaves of ring spectra over the moduli stack of formal group laws
Notes from a talk given at the Isaac Newton Institute , September 2002
P. Goerss , M. Hopkins: Moduli spaces of commutative ring spectra

Tilman Bauer: Computation of the homotopy of the spectrum tmf.

 
Algebraic topology
Stable homotopy theory
Slides for a survey talk given by Neil Strickland at
the University of Wales Intercollegiate Colloquium in Mathematics, 2003
Vector Bundles and K-Theory
Partially written textbook by Allen Hatcher
Complex cobordism and stable homotopy groups of spheres
by D. C. Ravenel

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