Researchers have solved a long-standing problem in topology by helping classify four-dimensional shapes (4-manifolds) that ...

Other unsolved mathematical mysteries are akin to the branches of trees. The trees themselves—fields within the wider subject ...

While you don't need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

While you don’t need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

In 2008, the terms 'topology' or 'topological' appeared in the title or abstract of nearly 1,500 papers in the mathematical literature — and in almost that many chemistry articles. In the ...

All courses outside the Math Department must have approval of the Director of Graduate Studies ... One of: MTH 534, Basic Measure Theory; or MTH 519, Introduction to Abstract Algebra; or MTH 527, ...

Susanna Heikkilä solved a problem in topology, or mathematics pertaining to the shape of surfaces. The fact that one of the ...

I am an algebraic topologist and a stable homotopy theorist. I study chromatic homotopy theory and its interactions with equivariant homotopy theory. I also work with condensed matter physicists to ...

That is, what other spaces around you are 2D? For example, the surface of a giant doughnut is another 2D space. Through a field called geometric topology, mathematicians like me study all possible ...

The department offers a selective and focused program for talented students specializing in three broad research areas: Geometry/Topology, Number Theory/Representation Theory, and Algebraic Geometry.