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3-manifold abelian algorithm analysis analytic applications approximation asymptotic automorphism Banach space boundary value problems bounded C*-algebras calculus Cayley graphs classical codes coefficients cohomology College compact complex conjecture construction convergence convex course curves David defined denote Department of Mathematics Dept differential equations dimension discuss domain dynamical elliptic examples existence field formula functions geometry graph Hilbert Hilbert space homeomorphism Hopf algebra ideal integral invariant isomorphic lattice Lie algebras Lie groups linear algebra manifold maps Math matrix matroids method minimal modules moduli space nonlinear obtained operators p-adic parameter points polynomial Preliminary report present prime proof properties prove quantum quantum groups random Received December Received November Received October Received September 30 representations Riemann surfaces ring Science semigroup September 26 sequence solutions statistics structure subgroup surface symmetric talk teachers teaching theorem theory topological University vector wavelet