Mathematical Sciences: Cyclic Homology

这项妇女研究机会计划资助将支持Herrero博士重新定位和重新激活她在数学领域的研究项目，该领域已被称为非交换代数拓扑。目前在这个领域有大量的活动，它从功能分析以及几何学和拓扑学中汲取思想。重点是从拓扑空间到函数的代数，再到更一般的代数，从而把微分几何和代数拓扑的强大机制应用到更多的问题上。

This Research Opportunities for Women planning grant will support Dr. Herrero in reorienting and reactivating her research program in an area of mathematics that has come to be known as noncommutative algebraic topology. There is a great deal of activity currently in this field, which draws on ideas from functional analysis as well as from geometry and topology. The central thrust is to go from topological spaces to algebras of functions on them and then to more general sorts of algebras, thereby putting the powerful machinery of differential geometry and algebraic topology to work on a greater variety of problems.