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Faculty conduct research in diverse areas of analysis.
These research areas include pure to applied; modern and classical: analytic number theory, partial differential equations (PDE), dynamical systems, linear and non-linear, stochastic analysis, functional analysis, harmonic analysis, commutative and non-commutative, Fourier analysis, abstract and computational, wavelets, and operator algebras.
There are applications are to physics, biology, engineering (e.g., signal/image processing); statistics, actuarial science, biostatistics, economics, business, and finance.
Analysis faculty
![Portrait of Yangbo Ye](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Ye.jpg?h=5a4b5e65&itok=uds3PVyQ)
Yangbo Ye
Title/Position
Director of Undergraduate Study (Associate Chair)
Professor
![A portrait of Xiaoyi Zhang](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Zhang_0.jpg?h=4bf2d3cb&itok=W2hCPGgU)
Xiaoyi Zhang
Title/Position
Director of Graduate Study (Associate Chair)
Professor
![Richard Baker](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Richard_Baker.jpeg?h=c065b7b0&itok=jilssAxL)
Richard Baker
Title/Position
Associate Professor
![Sergii Bezuglyi](/sites/math.uiowa.edu/files/styles/square__1024_x_1024/public/2024-03/Sergii_Bezuglyi.jpeg?h=425eaede&itok=yqaYCWH0)
Sergii Bezuglyi
Title/Position
Lecturer
![Portrait of Ionut Chifan](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Chifan-print-gray-bkgd-web_0.png?h=e71920f8&itok=YeQyc7gj)
Ionut Chifan
Title/Position
Professor
![Palle Jorgensen](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Palle%20Jorgensen_0.jpeg?h=54145fed&itok=UM-fl78Z)
Palle Jorgensen
Title/Position
Professor
![Portrait of Paul Muhly](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Muhly.jpg?h=c75a3f50&itok=-egUVhTA)
Paul Muhly
Title/Position
Professor Emeritus
![Portrait of Keith Stroyan](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Stroyan_0.jpg?h=a987bf01&itok=LOiiNt1d)
Keith Stroyan
Title/Position
Professor Emeritus