Shuhang Xue
Writings in Math
Topology​
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(Article) Relative Topological Complexity and Configuration Spaces, Bull. Iran. Math. Soc., 2022.
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Brown Representability and Its Variants in Context, Summer 2022
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Notes on (Co)homology and Topological Complexity, Winter 2021
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(Preprint) The Purely Cosmetic Surgery Conjecture is True for the Kinoshita-Terasaka and Conway Knot Families, Summer 2020
Algebra
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What groups are Amenable, and what are not?, Fall 2022
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(Blog Post) \delta-Hyperbolicity is Quasi-Isometric Invariant, Fall 2022
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(Blog Post) The Mystery of a Presentation of BS(1,2), Fall 2022
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(Blog Post) Existence of Fundamental Domains and Some Applications, Fall 2022
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Number Theory
Algebraic
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Two Applications of the Hasse-Minkowski Theorem, Spring 2020
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Factorization of Quadratic Integers, Fall 2021
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Rings of Algebraic Integers as Dedekind Domains, Winter 2021
Analytic​
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An Elementary Proof of the Prime Number Theorem, Spring 2021
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A Friendly Guide to Riemann's Memoir, Ongoing project