The theoretical side of the field doesn’t require computing machines. But many questions would never have been posed without them.

Shayan Oveis Gharan has won the Abacus Medal for using tools from across mathematics to boost the power of algorithms.

When checking that solutions to certain problems are correct, it turns out, you can’t get around the inherent complexity of the quantum world.

A graduate student recently harnessed the complexity of mathematical proofs to create a powerful new tool in cryptography.

I just voted in The Webby People's Voice Awards and checked my voter registration.

The montage, which typically runs for about two minutes, has raised concerns among some of the president’s allies that he may not be receiving the complete picture of the war.

Charles Bennett and Gilles Brassard were recognized for their foundational work in quantum information science.

Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.

Henry Yuen is developing a new mathematical language to describe problems whose inputs and outputs aren’t ordinary numbers.

The math of data structures helps us understand how different storage systems come with different trade-offs between resources such as time and memory.

Is the inside of a vision model at all like a language model? Researchers argue that as the models grow more powerful, they may be converging toward a singular “Platonic” way to represent the world.

The Simons Foundation is a private foundation in New York City whose mission is to advance the frontiers of research in mathematics and the basic sciences. Founded in 1994 by Jim and Marilyn Simons, the foundation supports transformative science through grantmaking, in-house research and public engagement. The Simons Foundation provides grants in autism science and neuroscience; life sciences; mathematics and physical sciences; and science, society and culture. The foundation’s in-house research division, the Flatiron Institute, develops and deploys computational methods to advance basic scientific research. Visit the Simons Foundation career page to learn more Salary and Benefits In addition to competitive salaries, the Simons Foundation provides employees with an outstanding benefits package. Our Commitment to Expanding Pathways to Science & Opportunities for All: Many of the greatest ideas and discoveries come from a diverse mix of minds, backgrounds, and experiences. The Simons Foundation is committed to advancing basic science and mathematics to benefit humankind and expand our collective understanding of our world. As part of our mission, we support partners, programs, and initiatives that seek to broaden the scientific community and open pathways to science and mathematics careers. The Simons Foundation provides equal opportunities to all applicants without regard to race, religion, color, age, sex, pregnancy, national origin, sexual orientation, gender identity, genetic disposition, neurodiversity, disability, veteran status, or any other protected category under federal, state, and local law. E-Verify Simons Foundation participates in E-Verify. Learn more here.

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent.

Until very recently, it was generally believed that the (approximate) 2-design property is strictly stronger than anti-concentration of random quantum circuits, mainly because it was shown that the la...

In which I explore the biggest barrier in the busy beaver game. What is Antihydra, what is the Collatz conjecture, how are they connected, and what makes them so daunting?

Recent findings reveal that even simple pricing algorithms can make things more expensive.

Naomi Saphra thinks that most research into language models focuses too much on the finished product. She’s mining the history of their training for insights into why these systems work the way they d...