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Mathematics + Statistics

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A closeup of a man playing cello, with other musicians fading into a blurry background.
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Cyano66 via iStock
If the mind is a symphony, the orchestra playing it remains obscured.

New mathematical frameworks reveal how stable thoughts emerge from chaotic brain activity

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Paul Atzberger holds a mathematical figure.
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Matt Perko
Paul Atzberger is designing AI that sees the world more like a geometer.
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Two young adults wearing suits holding a giant prize check made out to RazeMath
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Courtesy UCSB Engineering
RazeMath is Nico Lehner, left, and Evan McCall, right.
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Daniel Naylor
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Courtesy
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headshot of Pico Gilman
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Courtesy
Second-year Pico Gilman ’27 placed sixth in the Putnam Math Competition, leading UCSB to its best-ever finish.
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The symmetrical pattern of a cable-stayed bridge from below.
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Gwoeii via iStock
Comparing the complexity of scientific theories is challenging. Mathematical symmetry can provide an excellent guide.

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