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Topology faculty are a diverse group whose interests are focused around dimensions two, three and four.
Currently members of the group are working on:
- Applied knot theory
- Topological data analysis
- Contact and symplectic topology
- Mapping class groups
- Geometric braid theory
- Categorification
- Applications of homotopy theory to the study of topology in low dimensions
- Heegaard splittings of three manifolds
- Trisections of four manifolds,
- Quantum topology
- Skein theory
The group has a lively culture of seminars with a focus on including students in their current research.
Topology faculty
![Portrait of Benjamin Cooper](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Ben_Cooper_webpage.jpg?h=e01d9f96&itok=VALm1rja)
Benjamin Cooper
Title/Position
Associate Professor
![Portrait of Isabel Darcy](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Darcy.jpg?h=732bde55&itok=7dFS0n-P)
Isabel Darcy
Title/Position
Associate Professor
![Portrait of Mohammad Tehrani](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Mohammad-Tehrani-web_1.png?h=dbd1bfb9&itok=4Ez-jh4K)
Mohammad Farajzadeh Tehrani
Title/Position
Associate Professor
![Portrait of Charles Frohman](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Frohman.jpg?h=1a560643&itok=avmU1TG5)
Charles Frohman
Title/Position
Professor Emeritus
![Keiko Kawamuro](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/Keiko%20Kawamuro.jpeg?h=16752d71&itok=cVoRQXPV)
Keiko Kawamuro
Title/Position
Professor
![A portrait of Richard Randell](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/RichardRandell.jpeg?h=7184b6fe&itok=H9rO-cSz)
Richard Randell
Title/Position
Professor Emeritus
![A portrait of Ying-Qing Wu](/sites/math.uiowa.edu/files/styles/square__768_x_768/public/2024-03/YingWu.jpeg?h=c6b0d9e9&itok=kLEgOGED)
Ying-Qing Wu
Title/Position
Professor Emeritus