She eventually became one of the world’s foremost experts in the fields of abstract algebra, algebraic topology and the mathematics of symmetry, working at the University of Erlangen and ...

The course gives an introduction to algebraic topology, with emphasis on the fundamental group and the singular homology groups of topological spaces. you can work with cell complexes and the basic ...

Known as the "Oscars of Science," the Saturday night event saw Mark Zuckerberg, Jeff Bezos and Sam Altman rubbing shoulders ...

The course builds on MAT4520 – Manifolds and MAT4530 – Algebraic Topology I. The content will vary, but can include singular cohomology and homotopy theory. PhD candidates from the Faculty of ...

The Breakthrough Prize Foundation today announced the winners of the 2025 Breakthrough Prizes, honoring scientists driving remarkable discoveries in gene editing, human diseases, the fundamental ...

It was only in her second year of study, in a topology course given by Professor ... "The result we prove with Heikkilä provides an algebraic answer to Gromov's question. Heuristically, the ...

Mathematicians from New York University and the University of British Columbia have resolved a decades-old geometric problem, the Kakeya conjecture in 3D, which studies the shape left behind by a ...

Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive ...