Faculty
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n-algebras, Lie superalgebras, Lie algebras, Representation Theory
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Surface Reconstruction, Spline, NURBS, RBF, Subdivision Curves/Surfaces, Computer Aided Geometric Design
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Representation theory, Coxeter groups, Kazhdan-Lusztig polynomials, Lie superalgebras
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Knot theory, 3-dimensional manifolds, mapping class group; interdisciplinarity between mathematics and physics
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Analytic and Gevrey Hypoellipticity for sums of squares, Global regularity for sums of squares defined on the torus,
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Partial Differential Equations, Calculus of Variations
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Elliptic nonlocal equations, nonlocal minimal surfaces, fractional mean curvature flow
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Analysis in Lie groups and subriemannian structures, surfaces in subriemannian setting, subelliptic equations,
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divergence-measure fields, Gauss-Green formulas, fractional Sobolev spaces, fractional gradient
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mathematical physics, statistical mechanics, disordered and complex systems, machine learning and artificial
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Elliptic equations, Calculus of variations
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Vertex algebras, Lie conformal algebras, Lie Pseudoalgebras, Representation Theory, Compact quantum groups,
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quantum information theory, quantum computing, quantum machine learning, quantum statistical mechanics