People


Faculty

Robert Ghrist

Robert Ghrist

Andrea Mitchell University Professor, ESE and Math

Rob’s work focuses on those methods in applied mathematics and engineering which are global or topological in nature. Such methods have the feature of being very robust topological results are tolerant of the inherent in systems and are therefore both elegant and effective in engineering. Specific application foci include sensor and communication networks, multi-agent robotics, and dynamical systems.

Publications

Decomposiiton of nonlinear persistence modules

Publisher Gregoryhenselman.org

Distributed Optimization with Sheaf Homological Constraints

Publisher Institute of Electrical and Electronics Engineers

Learning Sheaf Laplacians from Smooth Signals

Publisher Institute of Electrical and Electronics Engineers

Minimal unimodal decomposition on trees

Publisher Journal of Applied and Computational Topology

Toward a spectral theory of cellular sheaves

Publisher Journal of Applied and Computational Topology

Homological algebra and data

Publisher The Mathematics of Data

Persistent homology and Euler integral transforms

Publisher Journal of Applied and Computational Topology

Stokes’s Theorem, Data, and the Polar Ice Caps

Publisher Taylor and Francis Inc.

MOOCs and the future of mathematics

Publisher Notices of the American Mathematical Society

Positive Alexander duality for pursuit and evasion

Publisher Society for Industrial and Applied Mathematics (SIAM)

Reconstruction of Euclidean embeddings in dense networks

Publisher Institute of Electrical and Electronics Engineers (IEEE)

Braid Floer homology

Publisher Academic Press

Persistent Homology for Path Planning in Uncertain Environments

Publisher Institute of Electrical and Electronics Engineers

Students

Zoe Cooperband

PhD, ESE


Hans Riess

PhD, ESE


Research Staff

Terry Kientz

Project Engineer, MEAM - (Robotics MSE '17)


Alumni

Greg Henselman

PhD, ESE '17


Yongbo Qian

Robotics MSE '16 - Automated Driving Research Engineer, Ford Research and Innovation Center


Robert Ghrist