Teaching / organizational stuff
- Tutor for the Linear Algebra course at the TU (WS 08/09; Information on the ISIS platform where you can log with a TUbit account
- Matheon seminar for junior scientists... click here
Short CV
- 1981: Born in Lodz, Poland
- 2000: High school diploma, Carl-Fuhlrott-Gymnasium in Wuppertal
- 2001-2006: Study of mathematics at the university in Cologne and at the Humboldt university in Berlin
- Since August 2006: WIAS staff member, phd student at the technical university in Berlin
Research interests
- Modeling of thin films, i.e. Quantum Dots growth
- Nonlinear PDEs
- Dynamical Systems
- General Nonlinear Optimization
- Quadratic Programming
- Numerics
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for numerical examples of the evolution of solid surfaces click on the pictures 
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Thesis
- Diploma thesis: A General Low Rank Update Based Quadratic Programming Solver
Download pdf file (1.2 MB)
Publications in reviewed papers
- From bell shapes to pyramids: a continuum model for self-assembled quantum dot growth
M.D. Korzec and P. L. Evans, submitted to Physica D (2009).
- Stationary solutions of driven fourth- and sixth-order Cahn-Hilliard type equations
M.D. Korzec, P. L. Evans, A. Münch and B. Wagner, SIAM J. Appl. Math., 69 (2008) pp. 348-374.
- Maintaining factorized KKT Systems subject to Rank-one Updates of Hessians and Jacobians
A. Griewank, A. Walther, and M. Korzec, in Optimization Methods and Software (2006)
Selected talks
- Effect of Anisotropic Surface Energy in An Epitaxial Growth Model
Miami, December 7-10th, 2009
- Comparison of two driven Cahn-Hilliard type equations
Minneapolis, July 14-25th, 2008
- On sixth-order equations modeling the growth of self-assembled nano-structures
Bonn, July 3-5th, 2008
- QR decomposition based linear algebra and QP aspects of the total quasi-Newton idea
DMV-Tagung in Berlin, 2007
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Numerical Linear Algebra for Jacobian free NLP solving
PARAOPT 2005 in Cairo, Egypt
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Low Rank Updating of Approximating Jacobians
GAMM 2005 in Luxembourg
For a rather informal but hopefully very comprehensible introduction to pseudospectral methods (and finite difference methods) you might want to go through my talk given in the WIAS phd seminar. It explains how to implement the method for problems like the Allen-Cahn equation, the Cahn-Hilliard equation or related on periodic domains. Although the codes will have to be adjusted for any varied problem, they show how simple numerical approximations may be found. For a download click here. Some of the Matlab example codes mentioned in the talk are also available:
diffusion.m , diffusion2d_euler.m, diffusion2d_psm.m, diffusion2d_euler_impl.m, sd_vs_fd.m, trilap.m
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