String compactification refers to the process of reducing the ten or eleven dimensions intrinsic to string or M-theory down to the four dimensions of observable spacetime by assuming that the extra ...

Moduli spaces of vector bundles form a central pillar in modern algebraic geometry, offering a systematic classification of bundles up to isomorphism and encapsulating their deformation theory. A ...

The term “moduli space” was coined by Riemann for the space $\mathfrak{M}_g$ parametrizing all one-dimensional complex manifolds of genus $g$. Variants of this ...

Mathematicians have struggled to understand the moduli space of graphs. A new paper uses tools from physics to peek inside. “That’s a super hard problem. It’s amazing they were able to,” said Dan ...