This document discusses streaming topic modeling and inference. It begins by motivating topic modeling and describing existing batch-oriented approaches like LDA and LSA. It then discusses challenges with traditional approaches for dynamic corpora and the need for streaming algorithms. Two streaming approaches are described: learning topics from Jira issues using an online LDA algorithm on Flink. Online LDA uses variational Bayes for efficient, online inference of topic distributions from document streams. Key aspects of implementing online LDA on Flink are discussed. The document concludes by arguing for more use of streaming algorithms to enable instant, up-to-date results from dynamic data.