Seminars:
Computational mathematics Thu 16:15-17:45
room 1016
Image recognition Thu 14:15-15:45
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:
  • Piotr Brendel, Paweł Dłotko, Graham Ellis, Mateusz Juda, Marian Mrozek,
    Computing fundamental groups from point clouds
    APPL ALGEBR ENG COMM , 1-22 (2015)
  • P. Dlotko,H. Wagner,
    Simplification of complexes for persistent homology computations
    Homotopy, Homology and Applications, accepted (2013)
  • 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)
  • 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)
  • P. Dłotko, R. Specogna,
    Cohomology in electromagnetic modeling
    Communications in Computational Physics (CiCP), Vol. 14, No. 1, 48-76 (2013)
  • P. Dłotko, R. Specogna,
    A novel technique for cohomology computations in engineering practice
    Computer Methods in Applied Mechanics and Engineering , 530-542 (2013)
  • Paweł Dłotko, Specogna Ruben,
    Topology preserving thinning of cell complexes
    IEEE T IMAGE PROCESS , (2013)
  • 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)
  • Paweł Dłotko, Hubert Wagner,
    Towards topological analysis of high-dimensional feature spaces
    COMPUT VIS IMAGE UND , 21-26 (2013)
  • P. Brendel, P. Dłotko, M. Mrozek, N. Żelazna,
    Homology Computations via Acyclic Subspace
    Computational Topology in Image Context, LNCS, 117-127 (2012)
  • 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)
  • H. Wagner, P. Dłotko, and M. Mrozek,
    Computational Topology in Text Mining
    Computational Topology in Image Context, LNCS , 68 - 79 (2012)
  • P. Dłotko, R. Specogna,
    Efficient generalized source field computation for h-oriented magnetostatic formulations
    Eur. Phys. J.-Appl. Phys. (EPJ-AP), accepted (2011)
  • P. Dłotko, T. Kaczynski, M. Mrozek, Th. Wanner,
    Coreduction Homology Algorithm for Regular CW-Complexes
    Discrete and Computational Geometry, 361-388 (2011)
  • P. Dłotko, W.G. Kropatsch, H. Wagner,
    Characterizing Obstacle-Avoiding Paths Using Cohomology Theory
    Lecture Notes in Computer Science, 310-317 (2011)
  • P. Dłotko,
    A fast algorithm to compute cohomology group generators of orientable 2-manifolds
    Pattern Recognition Letters, 1468-1476 (2011)
  • Paweł Dłotko, Specogna Ruben,
    Efficient cohomology computation for electromagnetic modeling
    CMES-COMP MODEL ENG , 247-278 (2010)
  • Paweł Dłotko, Specogna Ruben,
    Critical analysis of spanning tree techniques
    SIAM J NUMER ANAL , 1601-1624 (2010)
  • 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)
  • Paweł Dłotko, Tomasz Kaczynski, Marian Mrozek,
    Computing the cubical cohomology ring
    , 137-142 (2010)
  • 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)
  • 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)
  • P. Dłotko, R. Specogna,
    Efficient cohomology computation for electromagnetic modeling
    CMES: Computer Modeling in Engineering and Sciences, 247-278 (2010)
  • 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)
  • 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