Mikael Vejdemo-Johansson

Applied and computational topology


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 I have most of my unpublished manuscripts uploaded to the arXiv.


  1. Gunnar Carlsson and Mikael Vejdemo-Johansson, Topological Data Analysis with Applications. Cambridge University Press, 2021. Amazon Barnes & Noble

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
  13. Dan Hirsch, Ingemar Markström, Meredith L. Patterson, Anders Sandberg, and Mikael Vejdemo-Johansson. More Ties than We Thought. In: PeerJ Computer Science 1 (May 2015), e2. issn: 2376-5992. doi: 10.7717/peerj-cs.2.
  14. Henrik Bäärnhielm, Daniel Sundström, and Mikael Vejdemo Johansson. A Haskell Sound Specification DSL: Ludic Support and Deep Immersion in Nordic Technology-Supported LARP. en. In: The Monad Reader 23 (Apr. 2014), pp. 55–81.
  15. Mikael Vejdemo-Johansson. Algorithms in A∞-Algebras. In: Georgian Mathematical Journal 25.4 (2018), pp. 629–635.
  16. J. Frederico Carvalho, Mikael Vejdemo-Johansson, Danica Kragic, and Florian T. Pokorny. An Algorithm for Calculating Top-Dimensional Bounding Chains. en. In: PeerJ Computer Science 4 (May 2018), e153. issn: 2376-5992. doi: 10.7717/peerj-cs.153.
  17. Mikael Vejdemo-Johansson, Justin Curry, and Julie Corrigan. Mental Health in the Mathematics Community. In: AMS Notices (August 2019).
  18. Fumio Someki, Masafumi Ohnishi, Mikael Vejdemo-Johansson, and Kazuhiko Nakamura. Reliability, Validity, Factor Structure, and Measurement Invariance of the Japanese Conners’ Adult ADHD Rating Scales (CAARS). In: Journal of Psychoeducational Assessment (2019). doi: 10.1177/0734282919842030.
  19. Denis Khryashchev, Jie Chu, Mikael Vejdemo-Johansson, and Ping Ji. A Distributed Approach to the Evasion Problem. In: MDPI Algorithms 13:6 (2020).
  20. Leo S Carlsson, Mikael Vejdemo-Johansson, Gunnar Carlsson, and Pär G Jönsson. Fibers of Failure: Classifying Errors in Predictive Processes. In: MDPI Algorithms 13:6 (2020).
  21. Hengrui Luo, Alice Patania, Jisu Kim, and Mikael Vejdemo-Johansson. Generalized Penalty for Circular Coordinate Representation. In: Foundations of Data Science. doi: 10.3934/fods.2021024 2021.
  22. Daniel Amin and Mikael Vejdemo-Johansson. Intrinsic Disease Maps using Persistent Cohomology. In: Foundations of Data Science. doi: 10.3934/fods.2021008 2021.

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.
  5. J. Frederico Carvalho, Mikael Vejdemo-Johansson, Danica Kragic, and Florian T. Pokorny. Path Clustering with Homology Area. In: International Conference on Robotics and Automation. 2018.
  6. Mikael Vejdemo-Johansson and Alisa Leshchenko. Certified Mapper: Repeated Testing for Acyclicity and Obstructions to the Nerve Lemma. In: Proceedings of the 2018 Abel Symposium. Aug. 2019. arXiv: 1808.09933 [cs, math, stat].
  7. J. Frederico Carvalho, Mikael Vejdemo-Johansson, Florian T. Pokorny, and Danica Kragic. Long-term Prediction of Motion Trajectories using Path Homology Clusters. In: 2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). 2019.

Peer reviewed book chapters

  1. Mikael Vejdemo-Johansson and Primoz Skraba. Topology, Big Data and Optimization. In: Big Data Optimization: Recent Developments and Challenges. Springer, 2016, pp. 147–176.
  2. Mikael Vejdemo-Johansson and Alisa Leshchenko. Certified Mapper: Repeated testing for acyclicity and obstructions to the nerve lemma. In: Topological Data Analysis. Abel Symposia, vol. 15. Springer, 2020.

Juried or invited art exhibits

  1. Mikael Vejdemo-Johansson, Hyperbolic Coasters, in: Joint Mathematics Meetings 2012. (juried)
  2. Mikael Vejdemo-Johansson, Klein Bottle, in: Bridges 2018. (juried, nominated for Best in Show)
  3. Mikael Vejdemo-Johansson, Klein Bottle and Roman Surface, in: Joint Mathematics Meetings 2019. (juried)
  4. Mikael Vejdemo-Johansson, Torus and Klein Bottle and Roman Surface in: Mathematical Beauty (AAAS Gallery) 2019. (invited)
  5. Mikael Vejdemo-Johansson, Roman Surface in: Illustrating Mathematics (ICERM) 2019. (juried)
  6. Mikael Vejdemo-Johansson, From Steiner to Boy: Projective Plane Immersions in: Joint Mathematics Meetings 2020. (juried)

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.


  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/