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"What is the discipline of geometry?" The answer to this question has been rewritten many times throughout history. For Euclid, geometry was proof; for Descartes, it was equations; and for Riemann, it ...

Algebraic geometry is a classical subject with a modern face that studies geometric objects defined by polynomial equations in several variables. The course introduces the basic objects in algebraic ...

The complex geometry of the universe (the positions of celestial bodies in the 12 zodiac signs) passes through a filter of 15 folds, aligning neatly like a musical scale (octave), making it possible ...

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Fields Medal 2026 winners Hong Wang, Yu Deng, John Pardon, and Jacob Tsimerman each solved problems that had stood open for ...

One of President Donald Trump's most trusted advisers says he will turn back the clock on his political strategy and "campaign like it's 2024." White House chief of staff Susie Wiles, who played a key ...

Algebraic geometry is a classical subject, which in its modern form is described by scheme theory. The course provides an introduction to the theory of sheaves and schemes, and how the geometry of ...

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