In my talk I discuss traversable wormholes in four and two dimensions. In four dimensions I present a solution based on two magnetically charged black holes. It is a solution...
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I will present our characterization and classification of 3+1 dimensional U(1) quantum spin liquids (QSLs) enriched by symmetries. These QSLs are spin system described by a deconfined U(1) gauge theory at...
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The partition function of a quantum system without a sign problem can be represented by a path integral in which every amplitude is efficiently computable and nonnegative, which is a...
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Legendrian graphs naturally appear in the study of Weinstein manifolds with a singular Lagrangian skeleton, and a tangle decomposition of Legendrian submanifolds. I will introduce various invariant of Legendrian graphs...
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In this talk, I will introduce a class of gapped fracton models, dubbed “cage-net fracton models”. I will first review the coupled layer construction for exactly solvable fracton models. This construction leads to...
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Thurston's Master Teapot is the closure of the set of all points $(z,\lambda) \in \mathbb{C} \times \mathbb{R}$ such that $\lambda$ is the growth rate of a critically periodic unimodal self-map of...
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We discuss properties of magnetically charged black holes in the Standard Model. We will discuss how the electroweak symmetry is restored around the black hole. In addition, the Hawking evaporation...
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In this talk, we will first review a symplectic realization of the SYZ program and some of its applications. Then I will explain some recent works on equivariant Lagrangian Floer...
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Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting...
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A Van Hove singularity (VHS) of the density of states (DOS) is universal in a periodic system. In two dimensions, a saddle point of energy dispersion yields a logarithmic divergence...
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