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Symmetry-protected topological entanglement
Published 2017“…We propose an order parameter for the symmetry-protected topological (SPT) phases which are protected by Abelian on-site symmetries. …”
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LHCb Topological Trigger Reoptimization
Published 2017“…The main b-physics trigger algorithm used by the LHCb experiment is the so- called topological trigger. The topological trigger selects vertices which are a) detached from the primary proton-proton collision and b) compatible with coming from the decay of a b-hadron. …”
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Topological states in photonic systems
Published 2017“…It now joins the journey of exploring topological physics, bringing bosonic topological states that equip us with the ability to make perfect photonic devices using imperfect interfaces.…”
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Infrared Topological Plasmons in Graphene
Published 2017“…We propose a two-dimensional plasmonic platform—periodically patterned monolayer graphene—which hosts topological one-way edge states operable up to infrared frequencies. …”
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Triple Point Topological Metals
Published 2017“…Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. …”
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Topologically enabled optical nanomotors
Published 2018“…Shaping the topology of light, by way of spin or orbital angular momentum engineering, is a powerful tool to manipulate matter on the nanoscale. …”
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Recent progress in quantitative topology
Published 2021“…We discuss recent work of Chambers, Dotterrer, Ferry, Manin, and Weinberger, which resolved a fundamental question in quantitative topology: if f:Sm→Sn is a contractible map with Lipschitz constant L, what can we say about the Lipschitz constant of a nullhomotopy of f?…”
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Quantitative Topology of Loop Space
Published 2022“…In this thesis we investigate how the size of a cycle in the based loop space of a simply connected Riemannian manifold controls its topology. Analogous to Gromov’s notion of distortion of higher homotopy groups of underlying Riemannian manifold, we define notions of distortion for (co)homology classes in the loop space with real coefficients, and study the asymptotics of these distortions. …”
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