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Theoretical computer science (TCS) is a subdiscipline of computer sciencethat studies the mathematical foundations of computational and algorithmicprocesses and interactions. Work in this field is often recognized by itsemphasis on mathematical technique and rigor. At the heart of the field arequestions surrounding the nature of computation: What does it mean to compute?What is computable? And how efficiently?  Every ten years or so the TCS community attends visioning workshops todiscuss the challenges and recent accomplishments in the TCS field. Theworkshops and the outputs they produce are meant both as a reflection for theTCS community and as guiding principles for interested investment partners.Concretely, the workshop output consists of a number of nuggets, eachsummarizing a particular point, that are synthesized in the form of a whitepaper and illustrated with graphics/slides produced by a professional graphicdesigner. The second TCS Visioning Workshop was organized by the SIGACTCommittee for the Advancement of Theoretical Computer Science and took placeduring the week of July 20, 2020. Despite the conference being virtual, therewere over 76 participants, mostly from the United States, but also a few fromEurope and Asia who were able to attend due to the online format. Workshopparticipants were divided into categories as reflected in the sections of thisreport: (1) models of computation; (2) foundations of data science; (3)cryptography; and (4) using theoretical computer science for other domains.Each group participated in a series of discussions that produced the nuggetsbelow.

Visions in Theoretical Computer Science: A Report on the TCS Visioning Workshop 2020