COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Geometry and Topology

Geometric analysis (including geometric measure theory) and its applications, applied and computational algebraic topology (including topological data analysis), geometry of probability and data, especially in higher dimensions, use of variational/optimization techniques and computations in geometry and topology, applications of all these to real world, complex data and machine learning tasks, including problems from (often, large and/or expensive) physics experiments.

Bala Krishnamoorthy

http://www.math.wsu.edu/faculty/bkrishna/
kbala@wsu.edu
Vanc
Applied algebraic topology, Geometric measure theory,Mathematical aspects of 3D printing,Discrete and nonlinear optimization,Geometry and topology in physical chemistry,Computational models for surgical and biomedical applications,Computational biology.
Applied Mathematics
Statistics and Probability
Mathematical Biology
Optimization and Data Analytics
Data Analytics
Probability and Stochastic Processes
Analysis and PDEs
Geometry and Topology
Sample Publications
Optimal homology and linear programming
Continuous toolpath planning in 3D printing

Kevin Vixie

http://geometricanalysis.org
kvixie@wsu.edu
Neill 203
Examples of research projects past and present: sparse dynamic tomography, the development of image metrics which ignore unimportant differences, the sharp characterization of minimizers to variational functionals like the L1TV and ROF functionals, the flat norm for images and shapes, analysis and geometric measure theory in metric spaces, and the propagation of uncertainty through image analysis.
Pure Mathematics
Optimization and Data Analytics
Data Analytics
Analysis and PDEs
Geometry and Topology
Sample Publications
Back to Research