
Expertise

Work
Work
With E.W. Chambers, J. Erickson and R. Ghrist, “Vietoris–Rips complexes of planar point sets,” Discrete and Computational Geometry (to appear)
With G. Carlsson and D. Morozov, “Zigzag persistent homology and realvalued functions.” Proc. 25th Annual Symposium on Computational Geometry (SoCG), June 2009, pp.247–256
With M. VejdemoJohansson, “Persistent cohomology and circular coordinates,” Proc. 25th Annual Symposium on Computational Geometry (SoCG), June 2009, pp.227–236
"A Weak Characterisation of the Delaunay Triangulation", Geometriae Dedicata 135(1), August 2008, pp. 3964
With L.H. Lim. "Tensor rank and the illposedness of the best lowrank approximation problem", SIAM Journal on Matrix Analysis and Applications, Special Issue on Tensor Decompositions and Applications 30(3), 2008, pp.1084–1127
With R. Ghrist, "Homological sensor networks", Notices of the American Mathematical Society 54(1), 10–17, January 2007
With R. Ghrist, A. Muhammad, "Blind swarms for coverage in 2d", Proc. Robotics: Science & Systems I, MIT, Cambridge, MA, June 8–10, 2005

Education

Awards & Honors
Awards & Honors
Pomona College, Wig Distinguished Professor Award for Excellence in Teaching, 2012
Scientific American, 2007 SciAm 50 Awards List (with collaborator Robert Ghrist), an annual recognition of 50 science, research and industry teams and individuals with important advances in science. Cited for the development of new algorithms using mathematical homology to analyze whether a network of randomly distributed sensors has gaps or overlaps in coverage  adding flexibility to wireless sensor network technology (January 2008).
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