@article{Bandara2021, author = {Bandara, Lashi}, title = {Functional calculus and harmonic analysis in geometry}, series = {S{\~a}o Paulo journal of mathematical sciences / Instituto de Matem{\´a}tica e Estat{\´i}stica da Universidade de S{\~a}o Paulo}, volume = {15}, journal = {S{\~a}o Paulo journal of mathematical sciences / Instituto de Matem{\´a}tica e Estat{\´i}stica da Universidade de S{\~a}o Paulo}, number = {1}, publisher = {Springer}, address = {Cham}, issn = {1982-6907}, doi = {10.1007/s40863-019-00149-0}, pages = {20 -- 53}, year = {2021}, abstract = {In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from functional calculus and real-variable harmonic analysis. We give a brief description of these methods as well as their interplay. This is a succinct survey that hopes to inspire geometers and analysts alike to study these methods so that they can be further developed to be potentially applied to a broader range of questions.}, language = {en} }