Seminars:
Computational mathematics Thu 16:15-17:45
room 1016 Image and Data Processing Tue 11:30-13:00
room 1146 Differential equations and related issues Fri 12:15-13:45
room 1016 Partial differential equations Tue 12:15-13:45
room 1016
Paweł Dłotko, PhD
room:1061
address:Łojasiewicza 6, PL-30-348 Kraków, Poland
e-mail:dlotko At ii.uj.edu.pl
www:http://www.ii.uj.edu.pl/~dlotko
Research interests:
  • Computational topology and computational geometry.
  • Applications of computational homology.
CV light:
2013Postdoc researcherUniversity of Pennsylvania
2012PhD in Computer ScienceJagiellonian University
2007M.Sc in Computer ScienceJagiellonian University
Research grants:
2009Małopolskie Stypendium Doktoranckie 2009Małopolski Urząd Wojewódzki
2010Algorytmy redukcji w obliczeniowej teorii homologii i kohomologii z zastosowaniami (grant promotorski pod kierownictwem prof. dr hab. Mariana Mrozka)MNiSW
2010Google Research Award (pod kierownictwem prof. dr hab. Mariana Mrozka)Google
Publications:
  1. Piotr Brendel, Paweł Dłotko, Graham Ellis, Mateusz Juda, Marian Mrozek,
    Computing fundamental groups from point clouds
    APPL ALGEBR ENG COMM , 1-22 (2015)
  2. P. Dlotko,H. Wagner,
    Simplification of complexes for persistent homology computations
    Homotopy, Homology and Applications, accepted (2013)
  3. P. Dlotko, R. Specogna,
    Lazy cohomology generators: a breakthrough in (co)homology computations for CEM
    IEEE Transactions on Magnetics, DOI 10.1109/TMAG.2013.2281076 (2013)
  4. G. S. Cochran, Th. Wanner, P. Dłotko ,
    A randomized subdivision algorithm for determining the topology of nodal sets
    SIAM Journal on Scientific Computing, accepted (2013)
  5. P. Dłotko, R. Specogna,
    Cohomology in electromagnetic modeling
    Communications in Computational Physics (CiCP), Vol. 14, No. 1, 48-76 (2013)
  6. P. Dłotko, R. Specogna,
    A novel technique for cohomology computations in engineering practice
    Computer Methods in Applied Mechanics and Engineering , 530-542 (2013)
  7. Paweł Dłotko, Specogna Ruben,
    Topology preserving thinning of cell complexes
    IEEE T IMAGE PROCESS , (2013)
  8. P. Dłotko, R. Specogna,
    Physics inspired algorithms for (co)homology computations of three-dimensional combinatorial manifolds with boundary, Computer Physics Communications
    Computer Physics Communications, Volume 184, Issue 10, 2257–2266 (2013)
  9. Paweł Dłotko, Hubert Wagner,
    Towards topological analysis of high-dimensional feature spaces
    COMPUT VIS IMAGE UND , 21-26 (2013)
  10. P. Dłotko, R. Ghrist, M. Juda, M. Mrozek,
    Distributed computation of coverage in sensor networks by homological methods
    Applicable Algebra and Engineering, Communication and Computing, Special Issue on Compuer Algebra in Algebraic Topology and its Applications, 29-58 (2012)
  11. H. Wagner, P. Dłotko, and M. Mrozek,
    Computational Topology in Text Mining
    Computational Topology in Image Context, LNCS , 68 - 79 (2012)
  12. P. Brendel, P. Dłotko, M. Mrozek, N. Żelazna,
    Homology Computations via Acyclic Subspace
    Computational Topology in Image Context, LNCS, 117-127 (2012)
  13. P. Dłotko, W.G. Kropatsch, H. Wagner,
    Characterizing Obstacle-Avoiding Paths Using Cohomology Theory
    Lecture Notes in Computer Science, 310-317 (2011)
  14. P. Dłotko, R. Specogna,
    Efficient generalized source field computation for h-oriented magnetostatic formulations
    Eur. Phys. J.-Appl. Phys. (EPJ-AP), accepted (2011)
  15. P. Dłotko,
    A fast algorithm to compute cohomology group generators of orientable 2-manifolds
    Pattern Recognition Letters, 1468-1476 (2011)
  16. P. Dłotko, T. Kaczynski, M. Mrozek, Th. Wanner,
    Coreduction Homology Algorithm for Regular CW-Complexes
    Discrete and Computational Geometry, 361-388 (2011)
  17. P. Dłotko, Specogna Ruben,
    Critical analysis of spanning tree techniques
    SIAM J. Numer. Anal., 1601-1624 (2010)
  18. P. Dłotko, R. Specogna, F. Trevisan,
    Voltage and current sources for massive conductors suitable with the $A-\chi$ Geometric Formulation
    IEEE Transactions on Magnetics, 3069-3072 (2010)
  19. P. Dłotko, R. Specogna,
    Efficient cohomology computation for electromagnetic modeling
    CMES: Computer Modeling in Engineering and Sciences, 247-278 (2010)
  20. Paweł Dłotko, Tomasz Kaczynski, Marian Mrozek,
    Computing the cubical cohomology ring
    , 137-142 (2010)
  21. Paweł Dłotko, Specogna Ruben,
    Efficient cohomology computation for electromagnetic modeling
    CMES-COMP MODEL ENG , 247-278 (2010)
  22. Paweł Dłotko, Specogna Ruben,
    Critical analysis of spanning tree techniques
    SIAM J NUMER ANAL , 1601-1624 (2010)
  23. Paweł Dłotko, Specogna Ruben, Francesco Trevisan,
    Voltage and current sources for massive conductors suitable with the $A-\chi$ Geometric Formulation
    IEEE T MAGN , 3069-3072 (2010)
  24. Paweł Dłotko, Shaun Harker, Mateusz Juda, Konstantin Mischaikov, Marian Mrozek, Vidit Nanda, Hubert Wagner,
    The efficiency of a homology algorithm based on discrete Morse Theory and Coreductions
    , 41-47 (2010)
  25. Paweł Dłotko, Specogna Ruben, Francesco Trevisan,
    Automatic generation of cuts on large-sized meshes for $T-\Omega$ geometric eddy-current formulation
    Computer Methods in Applied Mechanics and Engineering (CMAME), 3765–3781 (2009)
  26. Paweł Dłotko, Specogna Ruben, Francesco Trevisan,
    Automatic generation of cuts on large-sized meshes for $T-\Omega$ geometric eddy-current formulation
    COMPUT METHOD APPL M , (2009)
  27. Paweł Dłotko, Bernard Kapidani, Specogna Ruben,
    Fast computation of cuts with reduced support by solving maximum circulation problems
    IEEE T MAGN, ()
Division of Computational Mathematics, Institute of Computer Science, Łojasiewicza 6, 30-348 Kraków, Poland