Publications

Note: In my research community, we tend to list authors of joint publications in alphabetical order, unless dictated by submission circumstances. All authors are expected to have equally substantial intellectual contribution to the paper. In particular, we kindly request not to apply the algorithm of This Cartoon to our lists ;-)

Book: T. Kaczynski, K. Mischaikow, et M. Mrozek, Computational Homology , Appl. Math. Sci. Vol. 157, Springer Verlag , NY 2004.

Recent research papers (Titles in blue are linked to PDF files of either author's preprint versions or open access publications)
46.
 M. Allili, G. Brouillette, and T. Kaczynski, Multidimensional discrete Morse theory, J. Appl. & Comp. Topology (2024), DOI 10.1007/s41468-024-00176-7 (open access).
45.
 R. Budney and T. Kaczynski, Bi-filtrations and persistence paths for 2-Morse functions, Algebraic & Geometric Topology 23 (2023), 2895-2924, DOI: 10.2140/agt.2023.23.2895 (open access).
44.
 B. Batko, T. Kaczynski, M. Mrozek, and T. Wanner, Linking combinatorial and classical dynamics: Conley index and Morse decompositions, Foundations of Computational Mathematics (20) (2020), 967-1012, DOI 10.1007/s10208-020-09444-1 (open access)
43.
 M. Allili, T. Kaczynski,  C. Landi, and F. Masoni, Acyclic partial matchings for multidimensional persistence: algorithm and combinatorial Interpretation, published version in J Math Imaging Vis (61) (2019) 174-192, DOI 10.1007/s10851-018-0843-8.
42.
 M. Allili, T. Kaczynski,  C. Landi, and F. Masoni, Algorithmic construction of acyclic partial matchings for multidimensional persistence, in Discrete Geometry for Computer Imagery, eds. W.G. Kropatsch, N.M. Artner, I. Janusch, Proc. 20th IAPR Intl. Conf., DGCI 2017 Vienna, Springer 2017, 375-387.
41
 T. Kaczynski, M. Mrozek, and T. Wanner, Towards a formal tie between combinatorial and classical vector field dynamics, published version in J. Comput. Dynamics,  3 (1), (2016), 17-50.

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Papers popularizing mathematics

4.
 S. Derivière, A. Trahan, and T. Kaczynski, Comment compter les trous dans une meule de fromage suisse : ou, l'homologie pour les gourmands, in Actes du Congrès AMQ Sherbrooke 2006 (2008), 127-131.
3.
 T. Kaczynski, Vivre en dimension 4 and Voyager en dimension 4, Accromath (open access), 1 (2006), 30-35.
2.
 T. Kaczynski, Life and travel in 4D, Pi in the Sky (open access), Dec. 2001.
1.
 T. Kaczynski, The red violin of science, Pi in the Sky, Dec. 2000.