Possible readings might include certain parts of some the following things. This will get updated and filled in eventually, and incrementally.
Phases and islands
Chomsky (2000). Minimalist inquiries: The framework. In Martin, et al. (eds.), Step by step: Essays on minimalist syntax in honor of Howard Lasnik. MIT Press. 89-155
Haegeman (1994). Introduction to Government and Binding Theory (2d ed.). Blackwell.
Rackowski & Richards (2005). Phase edge and extraction: A Tagalog case study. Linguistic Inquiry 36(4):565-599.
McGinnis (2000). Phases and the syntax of applicatives.
Svenonius (2004). On the edge.
Chomsky (2001). Derivation by phase.
Chomsky (2005). On phases.
Boeckx & Grohmann (2007). Putting phases in perspective. Syntax.
Presentations from Mayfest 2008.
Freidin (1978). Cyclicity and the theory of grammar.
Syntax and the lexicon
Chomsky (1970). Remarks on nominalization.
Baker (199x). The polysynthesis parameter.
Pylkkanen (200x). Introducing arguments.
Miyagawa (1998). (S)ase as an elsewhere causative and the syntactic nature of words.
Harley (2006). English words.
Harley (2006). On the causative construction.
Marantz (1997). No escape from syntax.
Marantz (1991). Case and licensing. ESCOL.
Embick (2000). Features, syntax, and categories in the Latin perfect. Linguistic Inquiry.
Embick & Noyer (2001). Movement operations after syntax. Linguistic Inquiry.
Embick (2004). On the structure of resultative participles in English. Linguistic Inquiry.
Skinner (2009). Investigations of downward movement. McGill dissertation.
Syntax and silence
Lasnik (1999). On feature strength: three minimalist approaches to over movement. Linguistic Inquiry.
Fox & Lasnik (2003). Successive-cyclic movement and island repair: the difference between sluicing and VP-ellipsis. Linguistic Inquiry.
Lasnik (2001). When can you save a structure by destroying it? NELS.
Lasnik (2007). On ellipsis: the PF approach to missing constituents.
Ha (2008). On ellipsis features and right node raising.
Johnson (2001). What VP ellipsis can do, and what it can’t, but not why.
Johnson (ed.) (2008). Topics in ellipsis..
Syntax and evolution
Chomsky (2000). Linguistics and brain science.
Chomsky (2005). Three factors in language design. Linguistic Inquiry.
Papers from Biolinguistics.
Theoretical developments
Chomsky (1957). Syntactic structures.
Chomsky (1981). Lectures on government and binding.
Chomsky (2009). Cartesian linguistics.
Freidin (2004). Syntactic structures redux.
Freidin & Vergnaud (2001). Exquisite connections: remarks on the evolution of linguistic theory. Lingua.