This blog was co-authored by Gregg Henriques, Ph.D., and John Vervaeke, Ph.D. Since the dawn of human consciousness, people have grappled with the problem of what it is and how it works. In academic ...

For all of the recent strides we’ve made in the math world—like a supercomputer finally solving the Sum of Three Cubes problem that puzzled mathematicians for 65 years—we’re forever crunching ...

I’m spotting a worrying trend among startup founders who seem to think that running a startup is effectively a get-rich-quick scheme. Apart from that mindset being wrong and naive, I suspect there’s ...

Chapter 2 explored key factors underpinning difficult cyber challenges. This chapter goes on to list and discuss the list of cyber hard problems—well-defined problems where progress toward their ...

The National Academies of Sciences, Engineering, and Medicine are private, nonprofit institutions that provide expert advice on some of the most pressing challenges facing the nation and world. Our ...

The nation relies on cyber systems for commerce, critical infrastructure, national security, and most facets of daily life. However, the growing scale and complexity of cyber technologies–coupled with ...

Last summer, three researchers took a small step toward answering one of the most important questions in theoretical computer science. To paraphrase Avi Wigderson of the Institute for Advanced Study, ...

Some math problems have been challenging us for centuries, and while brain-busters like these hard math problems may seem impossible, someone is bound to solve ’em eventually. Well, maybe. For now, ...