Pierre de Fermat
Unknown author, 17th century — Public domain
Blaise Pascal
Unknown author, copy of a painting by François II Quesnel, c.1690 — CC BY 3.0
René Descartes
Unknown author, c.1690 — CC BY 3.0
Christiaan Huygens
Caspar Netscher, 1671 — Public domain
John Wallis
Unknown author, unknown date — Public domain
Pierre de Fermat
Unknown author, 17th century — Public domain
Blaise Pascal
Unknown author, copy of a painting by François II Quesnel, c.1690 — CC BY 3.0
René Descartes
Unknown author, c.1690 — CC BY 3.0
Christiaan Huygens
Caspar Netscher, 1671 — Public domain
John Wallis
Unknown author, unknown date — Public domainSynaptikOne explores computational and AI-based methods to clarify the boundary between problems that can be verified and those that can be solved. Goal: move closer to a proof and strengthen global cybersecurity through advances in cryptography.
We develop numerical tools to analyze the zeros of the zeta function and approach an experimental resolution, with implications for number theory and cybersecurity.
Through numerical simulations and deep learning, we study turbulence and fluid stability in order to contribute to the existence of global solutions.
SynaptikOne investigates elliptic curves and post-quantum cryptography to uncover hidden structures behind this conjecture and strengthen future security systems.
Our research combines geometry, topology, and neural networks to develop new approaches and move toward a solution to this fundamental problem in modern mathematics.
Solved by Grigori Perelman in 2002 (officially confirmed in 2003). Our role: popularize this breakthrough, integrate it into our educational tools, and use it as a source of inspiration for future generations of researchers.
SynaptikOne develops mathematical and physical models to bring innovative contributions to this key question of modern physics, essential for understanding fundamental particles.
To learn more about our research on the 7 Millennium Problems and follow their development, check out our research packages or contact us via the Contact page.