Since the conjecture was already known to be true ... seem to be this emerging sort of principle that higher-dimensional geometry is just nasty,” Tao said. “That pathologies can show up ...

An area of mathematics that integrates algebraic geometry and number theory to study solutions of polynomial equations. Manin's Conjecture: A conjecture hypothesising the asymptotic distribution ...

That changed, however, when Haag and Kertzer’s explorations produced data that called a well-known math conjecture into question. The local-global conjecture, widely accepted for the better part of ...

Raskin led a nine-person team that proved the geometric portion of the Langlands conjectures, a theoretical framework for fundamental relationships between three branches of math: number theory, ...

Since the conjecture was already known to be true in one and two ... “There does seem to be this emerging sort of principle that higher-dimensional geometry is just nasty,” Tao said. “That pathologies ...

‘Nasty’ Geometry Breaks a Decades-Old Tiling Conjecture Security Politics Gear Backchannel Business Science Culture Ideas Merch ...