A Point Calculus for Interlevel set Homology

with Sergio Cabello and Herbert Edelsbrunner
to appear in Pattern Recognition Letters.

Local Homology Transfer and Stratification Learning

with Bei Wang and Sayan Mukherjee
to appear in Proc. 24th Sympos. on Discrete Algorithms. Full version here.

Homology and Robustness of Level and Interlevel Sets

with Herbert Edelsbrunner, Dmitrity Morozov, and Amit Patel
accepted in: Homology, Homotopy, and Applications.

Impoving Homology Estimates with Random Walks

with Taras Galkovskyi and John Harer
Inverse Problems 27 (2011) 124002.

Persistent Intersection Homology

with John Harer
Foundations of Computational Mathematics, 11 (2011), no. 3, 305-336.

Computing Robustness and Persistence for Images

with Herbert Edelsbrunner and Michael Kerber
IEEE Trans. Visual. and Comput. Graphics, 2010, pp. 1251-1260

Persistent Homology under Non-Uniform Error

with Herbert Edelsbrunner, Michael Kerber, and Amit Patel
Proc. 35th Internat. Sympos. on Math. Found, of Comput, Science, 2010, pp. 12-23.

The Robustness of Level Sets

with Herbert Edelsbrunner, Dmitrity Morozov, and Amit Patel
Proc. 18th Europ. Sympos. Algorithms, 2010, pp. 1-10

Inferring Local Homology from Sampled Stratified Spaces

With David Cohen-Steiner, Herbert Edelsbrunner, John Harer, and Dmitrity Morozov
Proc. 48th Sympos. on Found. of Comput. Science, 2007, pp. 536-546.

Analyzing Stratified Spaces Using Persistent Versions of Intersection and Local Homology

Ph.D. Thesis, Duke University, August 2008.