Faculty by Areas of Research
- 3-manifolds
- Masters, Joseph, Menasco, William, Sikora, Adam
- Algebra
- Badzioch, Bernard, Hemmer, David, Kraus, Jon, Li, Hanfeng, Olsen, Catherine, Schack, Samuel D., Schanuel, Stephen, Yuan, Shuen, Zhu, Hui June
- Analysis
- Chou, Ching, Coburn, Lewis, Fang, Quanlei, Jung, Jae-Hun, Kraus, Jon, Li, Hanfeng, Olsen, Catherine, Piech, Ann, Wan, Yieh-Hei, Xia, Jingbo
- Applied mathematics
- Biondini, Gino, Bloom, Clifford, Hassard, Brian, Jung, Jae-Hun, Peleg, Avner, Pitman, Bruce, Ringland, John, Spencer, Brian, Wan, Yieh-Hei, Applied Mathematics Group
- Bifurcation theory
- Hassard, Brian, Ringland, John, Applied Mathematics Group
- Complex differential geometry
- Cowen, Michael
- Complex variables
- Faran, James
- Computational mathematics
- Ringland, John, Applied Mathematics Group
- Cryptography
- Cusick, Thomas
- Deformation theory
- Schack, Samuel D.
- Differential and complex geometry
- Ramachandran, Mohan
- Differential geometry
- Cowen, Michael, Faran, James
- Diophantine approximation
- Cusick, Thomas
- Discrete mathematics
- Cavior, Stephen
- Dynamical systems
- Peleg, Avner, Reineck, James, Applied Mathematics Group
- Functional analysis
- Chou, Ching, Coburn, Lewis, Fang, Quanlei, Kraus, Jon, Li, Hanfeng, Olsen, Catherine, Piech, Ann
- Geometric measure theory
- Schanuel, Stephen
- Geometric topology
- Menasco, William
- Global analysis
- Wan, Yieh-Hei
- Homology
- Schack, Samuel D.
- Hyperbolic geometry
- Menasco, William
- Infinite combinatorics
- Sageev, Gershon
- Invariant means
- Chou, Ching
- Knot theory
- Menasco, William, Zhang, Xingru
- Logic
- Vesley, Richard, Williams, Scott W.
- Mathematical physics
- Dimock, Jonathan, Peleg, Avner, Applied Mathematics Group
- Mathematical logic
- Vesley, Richard
- Measure theory
- Schanuel, Stephen
- Number theory
- Cusick, Thomas, Li, Hanfeng, Schanuel, Stephen, Zhu, Hui June
- Operator algebras
- Kraus, Jon, Li, Hanfeng, Olsen, Catherine
- Operator theory
- Fang, Quanlei, Olsen, Catherine
- Partial differential equations
- Bloom, Clifford, Applied Mathematics Group
- Quantum field theory
- Dimock, Jonathan
- Quantum groups
- Schack, Samuel D.
- Scattering theory and energy decay
- Bloom, Clifford, Applied Mathematics Group
- Scientific computing
- Jung, Jae-Hun, Pitman, Bruce, Applied Mathematics Group
- Set-theoretic topology
- Williams, Scott W.
- Topological dynamics
- Williams, Scott W.
- Topology
- Manning, Jason, Masters, Joseph, Menasco, William, Sikora, Adam, Williams, Scott W., Zhang, Xingru
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