Mathematical Sciences: Parabolic Invariant Theory and Geometric Analysis

这项研究需要分析的问题，类 共形紧流形与部分继承流形 复杂结构（柯西-黎曼流形）。 中的技术 问题从变分原理和几何演变而来， 爱因斯坦度量。 这项研究具有潜在的应用， 数学物理学，特别是广义相对论和量子 重力

The research entails analytic problems on classes of conformally compact manifolds and manifolds inheriting partial complex structures (Cauchy-Riemann manifolds). The techniques in question evolve from variational principles and the geometry of Einstein metrics. This research has potential applications to mathematical physics, particularly general relativity and quantum gravity.