In July, 184 participants from 17 countries travelled to Park City, Utah to attend the latest iteration of Park City Mathematics Institute (PCMI), an annual Institute for Advanced Study outreach program. The attendees explored motivic homotopy theory, which offers mathematicians the opportunity to better understand complex algebraic shapes by using flexible tools from homotopy theory.
"Lisanne Taams, a student at Radboud University in the Netherlands, is working on a Ph.D. about, in her words, 'computing motives of moduli stacks of vector bundles on stacky curves.'"
"'It’s easy to cover a floor with copies of squares, triangles or hexagons [...] but only in ways that never repeat. 'You want to understand the structure of such tilings,' said Rachel Greenfeld, a mathematician at the Institute for Advanced Study in Princeton, New Jersey. 'How crazy can they get?' Pretty crazy, it turns out."
"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."
Introducing D. Dominique Kemp, the first Black student to receive a PhD in Mathematics from Indiana University-Bloomington. He joins the IAS School of Mathematics in 2022–2023 to continue his exploration of problems that connect harmonic analysis with geometry.
Assaf Naor, Member in the
School of Mathematics, has received the 2018 Frederic Esser Nemmers
Mathematics Prize from Northwestern University for his profound
work on the geometry of metric spaces, which has led to
breakthroughs in the theory of...
Strike a billiard ball on a frictionless table with no pockets
so that it never stops bouncing off the table walls. If you
returned years later, what would you find? Would the ball have
settled into some repeating orbit, like a planet circling
the...
