Research in analysis at CU Boulder is centered around functional analysis, operator algebras, noncommutative differential geometry, and partial differential equations.
More specific research topics include groupoid C*-algebras arising from dynamical systems and graphs, operator algebraic K-theory, wavelets, index theory, (co)homological methods and deformation theory, wellposedness of dispersive and wave equations, and applications of differential geometry to the study of differential equations arising both in geometry and analysis.
|Jeanne Nielsen Clelland||geometry of partial differential equations|
|Magdalena Czubak||geometry, partial differential equations|
|Robin Deeley||analysis, topology|
|Janos Englander||analysis, probability|
|Carla Farsi||C*-algebras, non-commutative differential geometry|
|Jeffrey S. Fox||global analysis, analysis on manifolds|
|Alexander Gorokhovsky||analysis, geometry|
|Judith Packer||operator algebras, K-theory, wavelets|
W* and C*-algebras, harmonic analysis, environmental modeling.
|Yining Zhang||homological algebra, noncommutative geometry|