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