Jagiellonian University
Institute of Computer Science

The Home Page Of Daniel Wilczak

 
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me

Address:

  • Institute of Computer Science
    Jagiellonian University
    Nawojki 11, 30-072 Krakow
    POLAND

Scientific degrees:

  • June 1999 - MSc in mathematics at the Jagiellonian University, Kraków, Poland, advisor: Professor Marian Mrozek
  • June 2003 - PhD in Computer Science at the Jagiellonian University, Kraków, Poland (a diploma with distinction), advisor: Professor Marian Mrozek

Professional experience:

  • 2008-present: postdoctoral position, Department of Mathematics, University of Bergen, Norway
  • 2005-present: adjunct (associate professor), Department of Numerical Methods, Institute of Computer Science, Jagiellonian University, Krakow, Poland
  • 2003-present: adjunct (associate professor), Department of Computational Mathematics, WSB-NLU, Nowy Sacz, Poland
  • Nov. 2004: one month visit in the Center for Dynamical Systems and Nonlinear Studies, Georgia Tech, Atlanta, USA
  • 2003-2005: assistant, Department of Numerical Methods, Institute of Computer Science, Jagiellonian University, Krakow, Poland
  • 1999-2003: assistant, Faculty of Computer Science, WSB-NLU, Nowy Sacz, Poland

Research grants:

  • 2002-2003 - Polish Scientific Research Committee: PhD grant no. 2 P03A 006 23
  • 2003-2006 - Polish Scientific Research Committee: grant no. 2 P03A 041 24, coordinator: Marian Mrozek
  • 2006-2009 - Polish Scientific Research Committee: grant no. N201 024 31/2163, coordinator: Piotr Zgliczyński

Scholarships:

  • 2001 - Foundation for Polish Science
  • 2003 - Institute of Mathematics of the Polish Academy of Sciences: annual scholarship for PhD students
  • 2005 - Jagiellonian University: annual scholarship from Rector's Scholarship Fund
  • 2006 - Foundation for Polish Science: annual national scholarship for young scientists
  • 2007 - Foundation for Polish Science: annual national scholarship for young scientists, continuation

Teaching:

  • Numerical Algorithms
  • Mathematical Analysis
  • Discrete Mathematics
  • Linear Algebra
  • Object Oriented Programming
  • Internet and Intranets
  • E-business Tools

Conference talks:

  1. Computer assisted proof of the existence of the chaotic dynamics in the Kuramoto-Sivashinsky equation. Second Workshop on the Conley Index and Related Topics, August 2001, Université de Scherbrooke, Quebec, Canada

  2. Heteroclinic and Homoclinic Connections and Symbolic Dynamics in Planar Restricted Circular Three Body Problem. International Conference on Dynamical Methods for Differential Equations, September 2002, Medina del Campo, Universidad de Valladolid, Spain

  3. Heteroclinic and Homoclinic Connections and Symbolic Dynamics in Planar Restricted Circular Three Body Problem. Space Days: Space Mission Design and Dynamical Systems, September-October 2002, University of Paderborn, Germany

  4. The existence of heteroclinic connections in the Kuramoto-Sivashinsky equations. Equadiff, July 2003, Universiteit Limburg, Hasselt, Belgium

  5. Topological Method for Proving the Existence of Symmetric Periodic, Homoclinic, and Heteroclinic Orbits in Systems with a Reversing Symmetry. International Workshop on Geometric Methods in Dynamical Systems, June 2004, University of Delaware, Newark, USA

  6. Interval Arithmetics, Planets' Choreographies and Homoclinic Orbits. Day of Computational Mathematics, June 2006, WSB-NLU, Nowy Sącz, Poland

  7. A geometric method for some bifurcation problems. Dynamic, Topology and Computations, June 2006, Będlewo, Poland

  8. A geometric method for proving the existence of homoclinic and heteroclinic solutions. SciCADE 2007, International Conference on SCIentific Computation And Differential Equations, July 2007, Saint-Malo, France

  9. Rigorous verification of cocoon bifurcations in the Michelson system. FoCM 2008, Foundations of Computational Mathematics, June 2008, Hong Kong, China