For instance, rings are sets with two operations which generalize the usual numbers. An area of research at Michigan Tech is commutative algebra, namely the study of those rings where both operations ...

In the 2012–13 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and ...

This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic abstract algebra, it provides a good foundation in ...

Augustine O'Keefe's research lies at the intersection of commutative algebra, combinatorics, and topology. In particular, she is interested in monomial and toric binomial ideals defined from ...

Firstly, the math behind quantum physics makes extensive use of matrices—rectangular arrays of numbers. However, these ...

Representation theory with a quantum group flavour; non-commutative geometry and some functional analysis and operator algebras; category theory; some algebraic geometry, mostly foundational issues, ...

Spread the loveMatrix multiplication is a fundamental operation in linear algebra, but its behavior can seem a bit strange at ...

Computational and Applied Mathematics Computational and Applied Mathematics students develop expertise in the theory and application of ordinary and partial differential equations, linear algebra, and ...

Yale’s Sam Raskin has solved a major portion of a math question that could lead to a translation theory for some areas of math.

$\bullet$ Homotopy theory and Higher Algebra. $\bullet$ Algebraic $K$-theory. $\bullet$ Field theories and mathematical Physics. $\bullet$ (topological) Hochschild ...

Their classes range from algebra to statistics, and the concepts build on one another. Students learn skills like logic, analysis, abstract thinking and problem-solving, which are valuable to ...