My dissertation (advised by Adrian Brasoveanu) investigated the interaction of anaphora and negation. The work provides arguments and evidence for theoretically understanding the constraints that negation places on anaphora in terms of speaker commitments and veridicality, providing a commitment-based account of discourse-polarity and anaphoric polarity-sensitivity by appealing to veridicality distinctions.

On these terms, a formal semantic account of the interaction of anaphora and negation is developed. It is an intensional dynamic account based on Compositional DRT and flat-update systems, where negation and other non-veridical operators are treated as externally dynamic. I argue that we need to conceptualize discourse referents as an intensional and epistemic representation to capture the relevant interactions.

This provides a unified account of several related issues that have received disparate analyses in the previous literature: anaphora to indefinites under negation (double-negation, bathroom-disjunctions, discourse subordination, and cross-speaker cases), the interaction of propositional anaphora and negation, polarity-sensitive negativity-tags, and the question what counts as a negative sentence/utterance for the purposes of anaphora in discourse.