Algebraic topology and homotopy theory constitute central areas of contemporary mathematics, exploring spaces through algebraic invariants and continuous deformations. Techniques in this field ...

In pursuing their art, algebraic topologists set themselves the challenging goal of finding symmetries in topological spaces at different scales. In mathematics, a symmetry is anything that is ...

Konrad Jacobs, via Wikimedia Commons Alexander Grothendieck, on left. Alexander Grothendieck, one of the most important mathematicians of the twentieth century, died at 86 on Thursday, Nov. 13 ...

This photo provided Friday, Nov.14, 2014 by the IHES (High Scientific Studies Institute) shows mathematician Alexandre Grothendieck, at the blackboard, during a lesson, south of Paris, in the 1960 ...

In 1988, when he was named winner of the prestigious Swedish Craaford Prize, Grothendieck briskly rejected the $136,000 award, insisting that he was doing just fine on his professor's salary in ...

Glenn Hopkins, An Algebraic Approach to Grothendieck's Residue Symbol, Transactions of the American Mathematical Society, Vol. 275, No. 2 (Feb., 1983), pp. 511-537 ...

However, algebraic topology could be the answer. ”This is a fairly robust method of establishing critical conditions in very complex situations.

Alexander Grothendieck has died.Grothendieck's reinvention of the foundations of algebraic geometry led to countless discoveries in the field in the last half century. His techniques were a ...