Research: set-theoretic topology, selection principles, covering properties, covering dimension. Research: set theory, set-theoretic topology, selection principles, game theory, and combinatorics.

For a few months now, the mathematical world has been abuzz. Rumors abound of a new proof, monumental in length and virtually ...

Out of the limelight, theoretical physicists continue to seek a mathematical model that can explain the universe's particles ...

We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the ...

In fact, a whole additional set of force and matter particles emerges from string equations involving a mathematical property called supersymmetry. “Almost all string theory models that resemble ...

They sit, heads slightly bowed, pencils ready, each one thinking about how to tackle each individual problem. They display ...

Nov 22, 2024 The final chapter of this course on secretly-categorical set theory. Axiomatic Set Theory 9: The Axiom of Choice Nov 15, 2024 The penultimate week of this axiomatic set theory course, ...

FrontierMath's performance results, revealed in a preprint research paper, paint a stark picture of current AI model ...

The Assam Board (SEBA) has announced the HSLC 2025 exam schedule. The practical exams will span January 21st and 22nd, covering subjects like computer science, commerce, fine arts, and various ...