Dmitriy Morozov

About

I am a postdoc in the Visualization group at the Lawrence Berkeley National Lab. My main interests are computational topology and geometry, especially, as they apply to data analysis. I did my graduate studies at Duke, where my advisor was Herbert Edelsbrunner, followed by a postdoc at Stanford working with Leo Guibas and Gunnar Carlsson.

Teaching

Software

Dionysus - Artemis - pyANN

Manuscripts

Homology and Robustness of Level and Interlevel Sets.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.

Dualities in Persistent (Co)Homology.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.

Publications

Witnessed k-Distance.
Leonidas Guibas, Quentin Mérigot, Dmitriy Morozov.

Proceedings of the Annual Symposium on Computational Geometry, pages 57-64, 2011.

Zigzag Persistent Homology in Matrix Multiplication Time.
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skraba.

Proceedings of the Annual Symposium on Computational Geometry, pages 216-225, 2011.

Metric Graph Reconstruction from Noisy Data.
Mridul Aanjaneya, Frédéric Chazal, Daniel Chen, Marc Glisse, Leonidas Guibas, Dmitriy Morozov.

Proceedings of the Annual Symposium on Computational Geometry, pages 37-46, 2011.

Quantifying Transversality by Measuring the Robustness of Intersections.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.

Foundations of Computational Mathematics, vol. 11, pages 345-361, 2011.

Persistent Cohomology and Circular Coordinates.
Vin de Silva, Dmitriy Morozov, Mikael Vejdemo-Johansson.

Discrete and Computational Geometry, vol. 45, pages 737-759, 2011.

The Robustness of Level Sets.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.

Proceedings of the 18th Annnual European Symposium on Algorithms, Lecture Notes in Computer Science 6346, 1-10, 2010.

The Stability of the Apparent Contour of an Orientable 2-Manifold.
Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel.

Proceedings of the Workshop on Topological Methods in Data Analysis and Visualization, 2009.

Zigzag Persistent Homology and Real-valued Functions.
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov.

Proceedings of the Annual Symposium on Computational Geometry, pages 247-256, 2009.

Computing Elevation Maxima by Searching the Gauss Sphere.
Bei Wang, Herbert Edelsbrunner, Dmitriy Morozov.

Proceedings of the International Symposium on Experimental Algorithms, Lecture Notes in Computer Science 5526, pages 281-292, 2009.

Homological Illusions of Persistence and Stability.
Dmitriy Morozov.

Ph.D. Thesis, Duke University, 2008.

Persistent Homology for Kernels, Images, and Cokernels.
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.

Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, pages 1011-1020, 2009.

Inferring Local Homology from Sampled Stratified Spaces.
Paul Bendich, David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Dmitriy Morozov.

Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, pages 536-546, 2007.

Persistence-Sensitive Simplification of Functions on 2-Manifolds.
Herbert Edelsbrunner, Dmitriy Morozov, Valerio Pascucci.

Proceedings of the Annual ACM Symposium on Computational Geometry, pages 127-134, 2006.

Vines and Vineyards by Updating Persistence in Linear Time.
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy Morozov.

Proceedings of the Annual ACM Symposium on Computational Geometry, pages 119-126, 2006.

Persistence Algorithm Takes Cubic Time in the Worst Case.
Dmitriy Morozov.

BioGeometry News, Department of Computer Science, Duke University, Durham, NC, 2005.

Generic Matrix Multiplication and Memory Management in LinBox.
Erich Kaltofen, Dmitriy Morozov, George Yuhasz.

Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, pages 216-223, 2005.