Daniel Lokshtanov’s work explores the limits of what computers can solve, paving the way for advances in artificial intelligence and computational efficiency.

Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

UC Santa Barbara computer scientist Daniel Lokshtanov is advancing fundamental understanding of computational efficiency through groundbreaking research on quasi-polynomial time algorithms, supported ...

False. While the speed of the computer is a factor, it's only one piece of the puzzle. The efficiency of an algorithm is primarily determined by its algorithmic complexity, which describes how the ...

In a landmark study released today, artificial intelligence (AI) has been used to reveal over a thousand previously hidden ...

Our Theory's Contribution: Our theory allows for modeling complex reaction pathways by treating each state as a distinct ...

While a quantum computer could factor a 2048-bit RSA key in less than a week with fewer than a million qubits, there are ...

If language is what makes us human, what does it mean now that large language models have gained “metalinguistic” abilities?

Coding with large language models (LLMs) holds huge promise, but it also exposes some long-standing flaws in software: code ...

Universities are using blockchain to secure data, fund research, and streamline administration through crypto innovation.

Science fiction is a particularly bountiful genre for the introduction of new words, in large part because authors come up with unique and otherworldly terms to describe their sci-fi worlds. Here are ...

Two decades ago, the mathematician Moon Duchin spent her summers teaching geometry at Mathcamp, a program for mathematically talented teens. Campers contemplated notions such as how to prove whether a ...