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This keynote is a part of the undergraduate summer school.

Three Frontiers in the Search for Signs of Life Beyond Earth For thousands of years, inspired by the starry night sky, humanity has wondered whether life exists beyond Earth. In the past three decades, this ancient question has moved from philosophy to data. Astronomers have discovered thousands of…

In this talk, I will review the unified mathematical theory of gapped and gapless boundaries of 2+1D topological orders developed in arXiv:1705.01087. As a consequence of this theory, we will derive a surprising result called “topological Wick rotation”, which was proposed to generalize to higher…

Many-body interacting systems cannot generally be treated with analytical tools alone, making numerical methods essential for studying strongly correlated phases. In fractional quantum Hall systems, conformal field theory correlators provide a way to construct exact matrix product state…