Analysis

Research in analysis at ¶¶Òõ¶ÌÊÓƵ 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.

Seminars

Faculty

Siddhant Agrawalpartial differential equations
Jeanne Nielsen Clellandgeometry, partial differential equations
Magdalena Czubakgeometry, partial differential equations
Robin Deeleyanalysis, topology
Janos Englanderanalysis, probability
Carla FarsiC*-algebras, non-commutative differential geometry
Alexander Gorokhovskyanalysis, geometry
Judith Packeroperator algebras, K-theory, wavelets

Postdoctoral Researchers

Alonso Delfinfunctional analysis
Padi Fustergeometry, partial differential equations
Yining Zhanghomological algebra, noncommutative geometry

Emeriti