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Proof of the first (Homotopy) Version of the Monodromy Theorem, by T.E. Venkata Balaji

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Constructing the Riemann Surface for the M-Th Root Function, by T.E. Venkata Balaji

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Understanding the Zariski Topology on the Affine Line; The Noetherian Property in Topology and in Algebra, by T.E. Venkata Balaji

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What is a Global Regular Function on a Quasi-Affine Variety?, by T.E. Venkata Balaji

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Laurent Expansion at Infinity and Riemann’s Removable Singularities Theorem for the Point at Infinity, by T.E. Venkata Balaji

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Hurwitz’s Theorem and Normal Limits of Univalent Functions, by T.E. Venkata Balaji

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The Generalized Liouville Theorem: Little Brother of Little Picard and Analogue of Casorati-Weierstrass; Failure of Cauchy’s Theorem at Infinity, by T.E. Venkata Balaji

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Doing Complex Analysis on a Real Surface: The Idea of a Riemann Surface, by T.E. Venkata Balaji

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Studying Infinity: Formulating Epsilon-Delta Definitions for Infinite Limits and Limits at Infinity, by T.E. Venkata Balaji

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Classifying Annuli up to Holomorphic Isomorphism, by T.E. Venkata Balaji

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The Algebraic Nature of the Functional Inverses of an Analytic Mapping at a Critical Point, by T.E. Venkata Balaji

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Moebius Transformations Make up Fundamental Groups of Riemann Surfaces, by T.E. Venkata Balaji

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Analytic Continuation along Paths Via Power Series Part B, by T.E. Venkata Balaji

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Topological Preliminaries: Translating Compactness into Boundedness, by T.E. Venkata Balaji

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Introduction to the Implicit Function Theorem, by T.E. Venkata Balaji

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Constructing the Riemann Surface for the Complex Logarithm, by T.E. Venkata Balaji

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Automorphisms of Affine Spaces and of Polynomial Rings-The Jacobian Conjecture; The Punctured Plane is not Affine, by T.E. Venkata Balaji

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The Construction of a Modular Form of Weight Two on the Upper Half-Plane, by T.E. Venkata Balaji

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The Importance of Local Rings-A Rational Function in every Local Ring is Globally Regular, by T.E. Venkata Balaji

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Introduction to Hurwitz’s Theorem for Normal Convergence of Holomorphic Functions in the Spherical Metric, by T.E. Venkata Balaji

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Proof of the Arzela-Ascoli Theorem for Functions: Abstract Compactness Implies Equicontinuity, by T.E. Venkata Balaji

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Completion of Proof of the Montel Theorem-The Holomorphic Avatar of the Arzela-Ascoli Theorem, by T.E. Venkata Balaji

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Normal Convergence at Infinity and Hurwitz’s Theorems for Normal Limits of Analytic and Meromorphic Functions at Infinity, by T.E. Venkata Balaji

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Analyzing Open Sets and Basic Open Sets for the Zariski Topology, by T.E. Venkata Balaji

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Proofs of Maximum Principles and Introduction to Schwarz Lemma, by T.E. Venkata Balaji

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The Unimodular Group is Kleinian, by T.E. Venkata Balaji

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The Fundamental Region in the Upper Half-Plane for the Unimodular Group, by T.E. Venkata Balaji

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Introduction to Marty’s Theorem-The Meromorphic Avatar of the Montel & Arzela-Ascoli Theorems, by T.E. Venkata Balaji

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Local Analysis of Normality and the Zooming Process-Motivation for Zalcman’s Lemma, by T.E. Venkata Balaji

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Montel’s Deep Theorem: The Fundamental Criterion for Normality Or Fundamental Normality Test Based on Omission of Values, by T.E. Venkata Balaji

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