Day 1 (free groups): Lyndon and Schupp.
Day 2 (free groups, presentations, Dehn's problems):
Lyndon and Schupp.
Day 3 (free products, ping pong lemma, applications):
Lyndon and Schupp, de la Harpe.
Day 4 (PSL2Z, PSL2R, O(2,1), the hyperbolic plane):
de la Harpe, Artin.
Day 5 (models of hyperbolic geometry, Isom(H2)):
Bridson and Haefliger, Casson and Bleiler, Beardon.
Day 6 (2 dimensional hyperbolic geometry): Casson
and Bleiler, Bridson and Haefliger.
Day 7 (Gauss-Bonnet, hyperbolic structures on surfaces):
Casson and Bleiler, Henderson.
Day 8 (Cayley graphs): Dehn.
Day 9 (Cayley graphs, triangle groups, Cayley complexes):
Dehn, Beardon, Hatcher.
Day 10 (Dehn's algorithms for word and conjugacy problems in surface
groups): Dehn.
Day 11 (Dehn's algorithm, K(G,1)'s): Dehn, Hatcher.
Day 12 (Uniqueness of K(G,1)'s, K(Zm,1)'s, group homology):
Hatcher.
Day 13 (Higher homotopy groups): Hatcher.
Day 14 (Relative homotopy groups, Whitehead's theorem, Hurewicz theorem):
Hatcher.
Day 15 (Fiber bundles, homotopy exact sequence):
Hatcher, Steenrod.
Day 16 (Vector bundles, Hopf fibration): Milnor and
Stasheff, Hatcher.
Day 17 (Hopf fibration, S1-bundles over S2):
Steenrod, Milnor and Stasheff.
Day 18 (Tangent bundle of S2, the space S3):
Steenrod, Rolfsen.
Day 19 (Gluing, Alexander trick, lens spaces): Rolfsen.
Day 20 (Handlebodies, Morse theory, Heegaard splittings): Milnor,
Rolfsen.
Day 21 (Mapping class groups, Dehn surgery): Birman,
Rolfsen.
Day 22 (Lickorish twist theorem, "honest" surgery, 4-manifolds):
Rolfsen, Lickorish.
Day 23 (3-manifolds bound, f.p. groups are closed 4-manifold groups):
Rolfsen, Gompf and Stipsicz.
Day 24 (3-manifolds, connect sums, incompressible surfaces):
Rolfsen, Hempel.
Day 25 (Geometrization conjecture): Thurston, Scott.
Day 26 (Wirtinger presentations, knot theory): Rolfsen.
Day 27 (Braids, links, and mapping class groups):
Birman.
Day 28 (Braids and configuration spaces): Birman.
Day 29 (Configuration spaces of graphs): Abrams.
Day 30 (Graphs of groups): Abrams, Hatcher, Scott
and Wall.
Day 31 (Wrap up): Abrams, Serre.
Books:
M. Artin, "Algebra"
A. Beardon, "The Geometry of Discrete Groups"
J. Birman, "Braids, Links, and Mapping Class Groups"
M. Bridson and A. Haefliger, "Metric Spaces of Non-positive
Curvature"
A. Casson and S. Bleiler, "Automorphisms of Surfaces
after Nielsen and Thurston"
B. Chandler and W. Magnus, "The History of Combinatorial
Group Theory: A Case Study in the History of Ideas"
D. Cohen, "Combinatorial Group Theory: A Topological
Approach"
M. Dehn, "Papers on Group Theory and Topology"
P. de la Harpe, "Topics in Geometric Group Theory"
H.-D. Ebbinghaus et al., "Numbers"
R. Gompf and A. Stipsicz, "4-Manifolds and Kirby
Calculus"
A. Hatcher, "Algebraic Topology"
J. Hempel, "3-Manifolds"
D. Henderson, "Experiencing Geometry"
R. Lyndon and P. Schupp, "Combinatorial Group Theory"
W. Massey, "Algebraic Topology: An Introduction"
J. Milnor, "Morse Theory"
J. Milnor and J. Stasheff, "Characteristic Classes"
D. Robinson, "A Course in the Theory of Groups"
D. Rolfsen, "Knots and Links"
J.-P. Serre, "Trees"
N. Steenrod, "The Topology of Fiber Bundles"
W. Thurston, "The Geometry and Topology of 3-Manifolds"
(the old notes)
W. Thurston, "Three-dimensional Geometry and Topology"
(the new notes) [there's also a published version]
Articles:
A. Abrams, Configuration spaces and braid groups
of graphs, Ph.D. thesis. See my research
page.
W. B. R. Lickorish, A representation of orientable
combinatorial 3-manifolds, Ann. of Math 76 (1962), pp. 531-538.
P. Scott, The geometries of 3-manifolds,
Bull. London Math. Soc. 15 (1983), 401-487.
P. Scott and T. Wall, Topological methods in
group theory, in Homological Group Theory (Durham 1977 proceedings),
published 1979, pp. 137-203.