Lisa Marchisio

Bryn Mawr College Math Department

Singular Integrals Related to Homogeneous Mappings

 

My research will focus on singular integrals related to homogeneous mappings. Singular integrals are mathematical objects that look infinite but are actually finite and well-behaved when properly interpreted. These integrals and integral transforms arise in many problems in harmonic analysis and related fields such as partial differential equations. It is my intention to extend a boundeness result of my advisor, Dr. Leslie Cheng.