This workshop precedes the String-Math 2015 workshop. There are partial overlaps in the list of speakers, but this is a separate workshop with more relaxed schedule, bringing both mathematicians and physicists alike. This workshop will be continued for four days. In the morning of each day there will be a lecture series by Professor Witten on gauge-theoretic approach to knot invariants. In the afternoon, there will be several research talks. Some of the topics will be related to knot theory, but we also plan to cover a wide range of exciting developments in mathematical physics.