Model theory of valued fields investigates algebraic structures equipped with a valuation—a function measuring the “size” or divisibility of elements—through the lens of first-order logic. Central ...

Representation theory studies how algebraic objects such as groups, algebras and monoids act by linear transformations on vector spaces. Central to this field are the notions of modules over ...

"In the preparation of this book the senior author's earlier Russian book ("Theory of structures,' by S. Timoshenko, 2d ed., St. Petersburg, 1926) was extensively used."--Pref.

On a crisp fall New England day during my junior year of college, I was walking past a subway entrance when a math problem caught my eye. A man was standing near a few brainteasers he had scribbled on ...

Structures made out of building blocks can shift their shape and autonomously self-organize to a new configuration. The physicists Saeed Osat and Ramin Golestanian from the Max Planck Institute for ...