Author Archives: Avery Carr

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About Avery Carr

Avery Carr is a senior analyst and past senior editor for the American Mathematical Society Grad Blog. He and his wife, Alison, live in Olive Branch, MS.

The Erdős–Gyárfás Conjecture

Curiosity is a guiding light down the dark corridors of mathematical wonderment. With each turn, enlightenment protrudes from the ruble of faulty understanding into the illumination of new knowledge. With this analogy in mind, mathematics can aptly be described as … Continue reading

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Solitary 10

Connections between integers are deeply studied in the field of Number Theory.  In certain instances, these abstractions are attributed character that takes shape in tangible analogs. When referring to colleague and prodigy, Srinivasa Ramanujan, the mathematician John E. Littlewood remarked, … Continue reading

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The Strong Goldbach Conjecture: An Equivalent Statement

Some problems in mathematics remain buried deep in the catacombs of slow progress.   Whether in Algebra, Topology, Discrete Math, or Analysis, mind-stretching mysteries await to be discovered beyond the boundaries of former thought.  Frequently, solutions to such problems come from … Continue reading

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Gardner’s Two Tribes

Mathematical conundrums are not always the product of academic rigor.   Sometimes they come from a recreational playground built on the foundation of logic and unique understanding.   Beyond numbers and sets, mathematical thinking is rooted in the ability to … Continue reading

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Odd Weird Numbers

Common intuition is a clandestine notion hidden behind the wall of mathematical formalism.  Elaborate systems that dispose of specification in favor of complete abstraction are merely derived from basic understanding.   Axiomatic truths build elegant mathematical structures layered by bricks of … Continue reading

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