arithmetic geometry – Quanta Magazine https://www.quantamagazine.org Illuminating science Mon, 16 Sep 2024 14:10:47 -0400 en-US hourly 1 https://wordpress.org/?v=6.2 The Year in Math https://www.quantamagazine.org/the-biggest-math-breakthroughs-in-2022-20221222/ https://www.quantamagazine.org/the-biggest-math-breakthroughs-in-2022-20221222/#respond Thu, 22 Dec 2022 16:00:09 +0000 https://www.quantamagazine.org/?p=121400 The post The Year in Math first appeared on Quanta Magazine

]]> We can think of a mathematician as a kind of archaeologist, painstakingly brushing dust off the hidden structures of the world. But the structures mathematicians reveal are not only durable, but also inevitable. They could never have been any other way. They are also remarkably interconnected: Though each year the mathematical frontier continues to expand as new discoveries are made...

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]]> https://www.quantamagazine.org/the-biggest-math-breakthroughs-in-2022-20221222/feed/ 0 A Mathematician Dancing Between Algebra and Geometry https://www.quantamagazine.org/wei-ho-is-drawn-to-algebra-geometry-and-the-human-side-of-math-20221122/ https://www.quantamagazine.org/wei-ho-is-drawn-to-algebra-geometry-and-the-human-side-of-math-20221122/#respond Tue, 22 Nov 2022 15:50:49 +0000 https://www.quantamagazine.org/?p=120793 The post A Mathematician Dancing Between Algebra and Geometry first appeared on Quanta Magazine

]]> Like many people who would go on to become mathematicians, Wei Ho grew up competing in math contests. In eighth grade, she won the Mathcounts state competition in Wisconsin, and her team took third place at nationals. Unlike many future mathematicians, she wasn’t sure she ever wanted to become one. “I wanted to do everything, all the time,” Ho said. “I took ballet very seriously until early high...

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]]> https://www.quantamagazine.org/wei-ho-is-drawn-to-algebra-geometry-and-the-human-side-of-math-20221122/feed/ 0 The Map of Mathematics https://www.quantamagazine.org/the-map-of-mathematics-20200213/ https://www.quantamagazine.org/the-map-of-mathematics-20200213/#respond Thu, 13 Feb 2020 17:30:36 +0000 https://www.quantamagazine.org/?p=79431 The post The Map of Mathematics first appeared on Quanta Magazine

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]]> https://www.quantamagazine.org/the-map-of-mathematics-20200213/feed/ 0 The Subtle Art of the Mathematical Conjecture https://www.quantamagazine.org/the-subtle-art-of-the-mathematical-conjecture-20190507/ https://www.quantamagazine.org/the-subtle-art-of-the-mathematical-conjecture-20190507/#respond Tue, 07 May 2019 14:50:33 +0000 https://www.quantamagazine.org/?p=71379 The post The Subtle Art of the Mathematical Conjecture first appeared on Quanta Magazine

]]> Mountain climbing is a beloved metaphor for mathematical research. The comparison is almost inevitable: The frozen world, the cold thin air and the implacable harshness of mountaineering reflect the unforgiving landscape of numbers, formulas and theorems. And just as a climber pits his abilities against an unyielding object — in his case, a sheer wall of stone — a mathematician often finds herself...

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]]> https://www.quantamagazine.org/the-subtle-art-of-the-mathematical-conjecture-20190507/feed/ 0 A Master of Numbers and Shapes Who Is Rewriting Arithmetic https://www.quantamagazine.org/peter-scholze-becomes-one-of-the-youngest-fields-medalists-ever-20180801/ https://www.quantamagazine.org/peter-scholze-becomes-one-of-the-youngest-fields-medalists-ever-20180801/#respond Wed, 01 Aug 2018 12:55:30 +0000 https://www.quantamagazine.org/?p=61060 The post A Master of Numbers and Shapes Who Is Rewriting Arithmetic first appeared on Quanta Magazine

]]> In the run-up to the presentation of the Fields Medals — mathematics’ highest honor — the identity of the winners is always a closely guarded secret. But this time around, one name has been on everyone’s lips: Peter Scholze, of the University of Bonn in Germany. Today, those expectations proved justified. The 30-year-old Scholze was awarded the medal at the International Congress of Mathematicians...

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