Heidelberg Laureate Forum
No Shortcuts in the Travelling Salesperson Problem
Shayan Oveis Gharan discusses the ‘polynomial paradigm’ and how he has used it as powerful algebraic machinery to make progress on hard combinatorial optimisation conundrums, most notably the classic metric travelling salesperson problem. Weiterlesen
Heidelberg Laureate Forum
Eine künstliche Intelligenz widerlegt die Jacobi-Vermutung – und jetzt?
In letzter Zeit überschlagen sich die Meldungen des Inhalts, eine künstliche Intelligenz (KI) habe ein bedeutendes mathematisches Problem gelöst. Stattdessen will ich von einer Einzelleistung erzählen, die relativ früh in dem aktuellen Gewitter der Meldungen erschienen ist: der Widerlegung der Jacobi-Vermutung. Weiterlesen
Heidelberg Laureate Forum
Two Mathematical Revolutions Separated by More than Time
On the occasion of Bernhard Riemann’s 200th birthday, looking back at how the German genius transformed mathematical practice is informative at a time of enormous upheaval in mathematics due to the rise of AI. Weiterlesen
Heidelberg Laureate Forum
The Evolving Relationship Between AI and Mathematicians
As AI surpasses humans on an expanding range of mathematical tasks, the mathematical community is recognizing that the roles of AI and mathematicians are evolving, with significant consequences for human mathematicians. Weiterlesen
Heidelberg Laureate Forum
Unpicking the Links Between Knots and Quantum Theory
Fields Medallist John Pardon developed an interest in knot theory early, eventually leading him to explore how the intrinsic topology of mathematical spaces can be understood through invariants derived from physical theories. Weiterlesen
Heidelberg Laureate Forum
Mersenne Primes, GPUs, and a Number With 41 Million Digits
In October 2024, mankind found a new prime number, which was also the largest prime number, featuring a gargantuan 41,024,320 digits. The number was special for another reason: It was discovered through a GPU-driven workflow. But why does finding this number matter? Weiterlesen
Heidelberg Laureate Forum
The Internet Chronicles – Part 9 of 12: RSA and Prime Numbers
The internet still needed a way for anyone to send a secret message to anyone else without first agreeing on a shared secret. It needed a way to sign digital documents and prove identity; a lock that could be made public without giving away the key. That lock was RSA. Weiterlesen