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affine algorithm analysis applications asymptotic August 15 August 29 August 30 automorphism boundary bounded braid group classical coefficients cohomology combinatorial complex Computer Science conjecture construction convex curvature curves defined Department of Mathematics Dept describe differential equations dimension discuss domain dynamics examples existence extend February 15 finite function geometry graph Grassmannians Hall Heegaard splittings Hilbert Hochschild homology homology hyperbolic ideals integral invariant inverse lattice Lie algebra linear Lubbock manifolds maps Math Mathematical Sciences Mathematics and Statistics Mathematics Department matrix method metric metric space minimal modules moduli space nonlinear operator parameter polynomial Preliminary report present problem properties prove quantum Received August Received August 30 Received February 15 Received January Received July Received September 19 representations Riemann surface ring sequence solutions stochastic structure subgroup symmetric talk Texas Tech University theorem theory topological varieties vector vertex wavelet