Mikael Vejdemo-Johansson

Applied and computational topology

Publications

My google scholar page has a complete and completely up to date listing with approximate citation metrics. I have most of my unpublished manuscripts uploaded to the arXiv.

Peer-reviewed journal articles

  1. Mikael Johansson, Computation of Poincaré-Betti series for monomial rings, Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 37:1-2 pp 85-94, 2006.
  2. Mikael Vejdemo-Johansson, A partial A-infinity structure on the cohomology of CnxCm, Journal of Homotopy and Related Structures, 3:1, pp 1--11, 2008.
  3. Mikael Vejdemo-Johansson, Blackbox computation of A-infinity algebras, Georgian Mathematical Journal, 17:2, pp 391-–404, 2010.
  4. Vin de Silva, Dmitriy Morozov, and Mikael Vejdemo-Johansson, Persistent Cohomology and Circular coordinates; Discrete and Computational Geometry 45(4), pp 737--759, 2011.
  5. Vin de Silva, Dmitriy Morozov, and Mikael Vejdemo-Johansson, Dualities in Persistent (Co)Homology, Inverse Problems 27 (2011) 124003.
  6. Valerio Pascucci, Brian Summa, Bei Wang, and Mikael Vejdemo-Johansson, Branching and circular features in high dimensional data, IEEE Transactions on Visualizations and Computer Graphics 17:12 (2011) 1902--1911.
  7. P.Y. Lum, G. Singh, A. Lehman, T. Ishkanov, M. Vejdemo-Johansson, M. Alagappan, J. Carlsson, and G. Carlsson, Extracting insights from the shape of complex data using topology, Scientific Reports 3 (2013) 1236, doi:10.1038/srep01236, Nature Publishing Group.
  8. Mikael Vejdemo-Johansson, Sketches of a Platypus: persistent homology and its algebraic foundations, in Algebraic Topology: Applications and New Directions, Contemporary Mathematics Volume 620.
  9. Mikael Vejdemo-Johansson, Susanne Vejdemo, Carl-Henrik Ek, Comparing distributions of color words: pitfalls and metric choices: PLoS-ONE. DOI 10.1371/journal.pone.0089184
  10. Jesse Berwald, Marian Gidea, Mikael Vejdemo-Johansson, Automatic recognition and tagging of topologically different regimes in dynamical systems, to appear: Journal of Discontinuity, Nonlinearity and Complexity.
  11. Mikael Vejdemo-Johansson, Florian Pokorny, Primoz Skraba, Danica Kragic, Cohomological learning of periodic motion, Applicable Algebra in Engineering, Communication and Computing. (2015) 26:1 pp 5-26. DOI 10.1007/s00200-015-0251-x
  12. Erin Wolf Chambers and Mikael Vejdemo-Johansson, Computing minimum area homologies, Computer Graphics Forum. doi: 10.1111/cgf.12514

Peer-reviewed conference proceedings

These are from the computer science tradition of high-impact, selective conference proceedings papers. IEEE Visualization has an acceptance rate of around 25%.

  1. Dmitriy Morozov, Vin de Silva, and Mikael Vejdemo-Johansson, Persistent Cohomology and Circular coordinates, Proceedings of ACM SoCG 2009.
  2. Vladimir Dotsenko and Mikael Vejdemo-Johansson, Implementing Gröbner bases for operads, Séminaires et Congrès, 26 (2011), pp 77--98.
  3. Vladimir Dotsenko and Mikael Vejdemo-Johansson, Operadic Gröbner bases: an implementation, Mathematical Software -- ICMS 2010, Lecture Notes in Computer Science 6327, pp 249 -- 252, 2010.
  4. Henry Adams, Andrew Tausz, and Mikael Vejdemo-Johansson,javaPlex: a research software package for persistent (co)homology, Mathematical Software -- ICMS 2014, Lecture Notes in Computer Science 8592, pp 129--136, 2014.

Popular mathematics articles

  1. Mikael Johansson, Mathematik in den Nachrichten -- Perelman und die Poincaré-Vermutung, Die Wurzel, 2006.
  2. Mikael Vejdemo-Johansson, Die Eulersche Gerade, Die Wurzel, 2007.
  3. Mikael Vejdemo-Johansson, Leonhard Euler, Die Wurzel, 2007.
  4. Mikael Vejdemo-Johansson, Permutationen und Derangements, Die Wurzel, 2007.

Software

  1. Harlan Sexton, Mikael Vejdemo-Johansson, jPlex, http://comptop.stanford.edu/programs/jplex
  2. Andrew Tausz, Mikael Vejdemo-Johansson, *javaPlex, http://code.google.com/p/javaplex
  3. Mikael Vejdemo-Johansson, Math.Operads, http://hackage.haskell.org/package/Operads
  4. Mikael Vejdemo-Johansson, packages for A-infinity-algebra computation and for simplicial topology for the computer algebra system Magma. http://magma.maths.usyd.edu.au/magma/
  5. Mikael Vejdemo-Johansson, Persistence, a package for the computer algebra system GAP. http://www-circa.mcs.st-andrews.ac.uk/~mik/persistence/

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