Wieslaw Krawcewicz

Professor - Mathematical Sciences
Tags: topological methods in nonlinear analysis symmetric differential equations bifurcation problems

Professional Preparation

Ph.D. - Mathematics
Universite de Montreal - 2018
M.S. - Mathematics
Gdansk University - 2018

Research Areas

Research Interests
Topological Equivariant Methods in Nonlinear Analysis (TEMNA), with special interests in applications to differential equations (ODEs/FDEs/PDEs/FPDEs) and variational problems with symmetries including symmetric models in mathematical biology (e.g. population dynamics, symmetric configuration of neural networks, pattern formation), fluid dynamics (e.g. Hopf bifurcation in Navier-Stokes equation), electrical engineering (e.g. fluctuations in transmission lines), to mention a few. The Equivariant Degree theory for non-abelian groups, that was developed in recent years, is applied to investigate impact of symmetries on dynamical systems, local and global bifurcation problems, global continuation, existence of multiple periodic solutions and their symmetric properties. Our methods were used, for example, to investigate symmetric configurations of electrical, chemical or biological oscillators, in population models, or electrical transmission lines

Publications

N. Hirano, W. Krawcewicz and H. Ruan, Existence of nonstationary periodic solutions for I`-symmetric Lotka-Volterra type systems. Accepted in Discrete and Continuous Dynamical Systems, series A (2008) 2008 - Publication
Z. Balanov, W. Krawcewicz and H. Ruan, Periodic solutions to O(2) >< S]-symmetric variational problems: Equivariant gradient degree approach. Accepted in Contemporary Mathematics(2008) 2008 - Publication
B. Rai and W. Krawcewicz, Symmetric configuration of predator-prey-mutualist systems. Accepted in Nonlinear Analysis, TMA (2008). 2008 - Publication
Z. Balanov and W. Krawcewicz, Symmetric Hopf Bifurcation: Twisted Degree Approach, Handbook of Differential Equations, Ordinary Differential Equations, Vol IV, Edited by F.Battelli and M Feckan, 2008 Elsvier, 1-131. 2008 - Publication
Z. Balanov, W. Krawcewicz, and H. Ruan, Hopf Bifurcation in a Symmetric Configuration of Transmission Lines, Nonlinear Analysis, Real World Applications, 8 (2007), 1144-1170. 2007 - Publication
Z. Balanov, W. Krawcewicz, and H. Ruan, G.E. Hutchinson's Delay Logistic System with Symmetries and Spatial Diffusion, Nonlinear Analysis, Real World Applications, 8 (2007), 1144-1170. 2007 - Publication
Z. Balanov, M. Farzamirad, W Krawcewicz, and H. Ruan Applied Equivariant Degree Part ll. Symmetric Hopf Bifurcation for Functional Differential Equations, Discrete Contin Dyn Syst. 16 (2006), no. 4, 923-960. 2006 - Publication
Z Balanov, W. Krawcewicz, and H. Ruan, Applied Equivariant Degree Part I. An Axiomatic Approach to Primary Degree, Discrete Contin. Dyn. Syst. 15 (2006), no. 3, 983-1016. 2006 - Publication
Z. Balanov, M. Farzamirad and W. Krawcewicz Symmetric Systems of Van der Pol Equations, Topol. Methods Nonlinear Anal. 27 (2006), no. 1, 29-90 2006 - Publication
Z. Balanov, W. Krawcewicz, H. Steinlein, Applied Equivariant Degree, in AIMS Series in Differential Equations and Dynamical Systems. 2006, American Institute for Mathematical Sciences. 2006 - Publication

Appointments

Professor (tenured)
University of Alberta [1999–Present]
Associate Professor (tenured)
University of Alberta [1993–1999]
Assistant Professor
University of Alberta [1988–1993]
NSERC Postdoctoral Fellow
University of Alberta [1987–1988]
NATO Postdoctoral Fellow
Universit Catholique de Louvain [1986–1987]
Faculty lecturer
Universit de Sherbrooke [1985–1986]
Assistant
University of Gdansk [1977–1981]

Additional Information

Invited Presentations
  1. National Chiao Tung University, Hsinchu, Taiwan, December 2008 (2 hours)
  2. Academia Sinica, Taipei, Taiwan, December 2008 (2 hours)
  3. Imperial Colleage, London, UK, July 2008 (2 hours)
  4. Bath University, Bath, UK, July 2008 (2 hours)
  5. Peking University, Beijing, China, May 2008 (2 hours)
  6. South China Normal University, Guangzhou, China, June 2008 (2 hours)
  7. Xi'an Jiao Tong University, Xi'an, China, June 2007 Presentation and mini course on equivariant degree (8 hours).
  8. Guangzhou University, Guangzhou, China, presentation (2 hours)
  9. Hunan University, Changsha. China, presentation (2 hours)
  10. Shanghai Normal University, Shanghai, China, presentation (2 hours)
  11. Northeast Normal University, Changchun, 2 presentations (4 hours)
  12. Beijing Institute of Technology, Beijing, presentation (2 hours)
  13. University of Yokohama, Yokohama, Japan, May 2007: Presentation and mini-course on the equivariant degree theory and its applications (10 hours)
  14. Tokyo Institute of Technology, Tokyo, Japan, May 2007, presentation (2 hours).
  15. National Chung Cheng University, Mingshiung Chi-ya, Taiwan, April 2007 presentation (2hours)
  16. Academia Sinica, Taipei, Taiwan, April 2007, presentation (2 hours)
  17. National Chiao 'Ing University, Hsinchu, Taiwan, April 2007 presentation and mini-course on the equivariant degree theory (9 hours)
  18. Nanyang Technological University, Singapore, March 2007, presentation (2 hours)
  19. Sydney University, Sydney, Australia, March 2007, presentation (2 hours)
  20. University of New South Wales, Sydney, Australia, March 2007, 3 presentations (5 hours)
  21. University of Allahabad, Allahabad, India, February 2007, presentation and mini-course on degree theory (10 hours)
  22. Harish-Chandra Research Institute, Allahabad, India, February 2007, 2 presentations (4 hours).
  23. Netanya Academic College, Netanya, Israel, January, presentation (2 hours)
  24. Universite Catholique de Louvain-la-Neuve, Belgium, December 2006, 3 presentations (6 hours)
  25. Ludwig-Maximilian-University, Munich, December 2006, presentation (2hours)
  26. Adam Mickiewicz University in Poznan, Poland, October 2006, presentation (2 hours)
  27. Nicolaus Copernicus University in Torun, Poland, October 2006 presentation and mini-course on the equivariant degree theory (10 hours)
  28. Technical University of Torino, October 2006, presentation (2 hours)
  29. University of Florence, October 2006, presentation (2 hours)
  30. University of Giessen, October 2006, presentation (2 hours)
  31. Jagiellonian University, Cracow, Poland, September 2006, presentation (1 hour)
  32. Ludwig Maximilian University, July 2004
  33. Bishop University, December 2003
  34. Universite de Montreal, December 2003
  35. Harish-Chandra Research Institute, Allahabad, India, July-August 2001
  36. University of Allahabad, Allhabad, July-August 2001.
  37. University of Munich, Munich, Germany, July 1998
  38. Academia Sinica, Beijing, China, June 1996
  39. University of Munich, Munich, Germany, July 1996
  40. University of Goaungzou, China, June 1996
  41. Academia Sinica, Taipei, Taiwan, June 1996
  42. University of Gdansk, Gdansk, Poland, September 1994 and June 1995.
  43. University of Florence, Florence, Italy, May 1995, August 1996,
  44. University of Wurzburg, Wurzburg, Germany, November 1994,
  45. Birla Science Center, Hyderabad, India, December 1992 and December 1993.
  46. Analysis Seminar, University of Sherbrooke, April 1992.
  47. The Mehta Research lnstitute, Allahabad, India, June 1991.
  48. The Jadhapur University, Calcutta, India.
  49. Bolyai Institute, Szeged, Hungary, August 89.
ALEXANDER VON HUMBOLDT FELLOWSHIP

News Articles

Respected Mathematics Scholar to Lead Department
Dr. Wieslaw Krawcewicz, a professor of mathematics at the University of Alberta, has joined UT Dallas as head of the Department of Mathematical Sciences. “We are fortunate in attracting an innovator in mathematics education and a respected scholar to lead the Department of Mathematical Sciences, a crucial part of UT Dallas’ strategic drive to become a major research university,” said Myron Salamon, dean of the School of Natural Sciences and Mathematics. In searching for a new department head, the dean sought an experienced educator with a multidisciplinary research emphasis and a vision for the future of the department. Krawcewicz is charged with maintaining strong undergraduate and graduate degree programs in mathematics, applied mathematics, statistics and bioinformatics and computational biology. Under his leadership, M.S. and Ph.D. degree programs in actuarial mathematics and biostatistics are expected to be added

Affiliations

Graduate Students Supervision
Huaxing Xia Ph D. in Math Degree obtained in April 1994 Paula Vivi Ph.D. in Math. Degree obtained in Sept 1997 Meymanat Farzamirad Ph.D. in Math. Degree obtained in July 2005 Haibo Ruan Ph.D. Program in Math. Degree obtained in April 2008 Adrian Biglands M.Sc. Program in Math. Completion date June 2009 Brian Ketelboeter M.Sc. Program in Math Completion date June 2010 Huafeng Xia Ph.D. in Math at Guangzhou University co-supervisor

Funding

$17000/year - NSERC (Discovery Grant) [2008–2013]
$14000/year - NSERC (Discovery Grant) [2003–2008]
$15000/year - NSERC (Research) [1999–2003]
$14900/year - NSERC (Research) [1995–1999]
$3000 - CRF (Equipment) [1993–2018]