Mathematical Sciences: Spectral Invariants in Topology and Geometry

9403360吉尔基这项研究涵盖了几何学、分析和拓扑学等交叉领域的许多主题。这些问题主要涉及谱几何和不变量问题，特别是与带边界流形的热方程技巧有关的ETA不变量和渐近性。这项研究对数学的其他领域也有潜在的应用，特别是拓扑学，以及数学物理中的算子理论。***

9403360 Gilkey The research covers a number of topics in the overlapping areas of geometry, analysis and topology. These mainly involve questions of spectral geometry and invariants, in particular the eta-invariant and asymptotics related to heat equation techniques for manifolds with boundary. The research has potential applications to other areas of mathematics, particularly topology, as well as to operator theory in mathematical physics. ***