Peteris Daugulis  

 

 

Leading researcher, Ph.D.
Mathematical Research Center
Department of Technology
Institute of Life Sciences and Technology
Daugavpils University
Parades street 1
LV-5400, Daugavpils, Latvia
peteris.daugulis@du.lv
Research interests  

 

Linear algebra, representations of associative algebras, mathematical biology and medicine, mathematical education
Education  
  Ph.D, Mathematics, University of Georgia, USA, 1998, thesis „Stable endomorphism rings of idempotent E-modules”
Teaching  
  • Academic bachelor study programme "Mathematics": linear algebra, number theory, polynomial algebra, algebraic structures, English for mathematicians
 
  • Academic master study programme "Mathematics": discrete mathematics, English for mathematicians
Recent publications  
  • Daugulis, P. A note on another construction of graphs with 4n + 6 vertices and cyclic automorphism group of order 4n, Archivum Mathematicum, Masaryk University, Brno, Czech Republic, 2017, Volume 53, Issue 1, 13-18. link

  • Daugulis P., Vagale V. Normal forms of triangles and quadrangles up to similarity, The Journal for Geometry and Graphics, 2016, Volume 20, Issue 2, 173–184. link

  • Sondore A., Krastiņa E., Daugulis, P., Drelinga E. Pamatjēdzienu izpratne skolas matemātikas kompetenču apguvē, Proceedings of the International Scientific Conference "Society. Integration. Education", Volume II, 2016. Rezekne: Rezeknes Academy of Technologies, 330-342 pp. ISSN 1691-5887, link

  • Daugulis P. Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups, arXiv:1601.05366, 2016, http://arxiv.org

  • Daugulis P. Strong connectivity and its applications, arXiv:1609.07355v2, 2016, http://arxiv.org

  • Daugulis P., Vagale V. Normal forms of triangles and quadrilaterals up to similarity, arXiv:1502.00241, 2015, http://arxiv.org, PDF

  • Daugulis, P. Graphs with 2^n+6 vertices and cyclic automorphism group of order 2^n, arXiv:1501.06937, 2015, http://arxiv.org, PDF

  • Daugulis, P. 14-vertex graphs with cyclic automorphism group of order 8, arXiv:1501.04066, 2015, http://arxiv.org, PDF

  • Daugulis, P. 10-vertex graphs with cyclic automorphism group of order 4, arXiv:1410.1163, 2014, http://arxiv.org, PDF

  • Daugulis, P. Graph structure of commuting functions, arXiv:1407.6035, 2014, http://arxiv.org, PDF

  • Daugulis, P. On coordinatization of mathematics, arXiv:1306.0520, 2014, http://arxiv.org, PDF

  • Daugulis, P. A note on a generalization of eigenvector centrality for bipartite graphs and applications, Networks, V. 59, N. 2.,  2012 261-264. Wiley DOI: 10.1002/net.20442 PDF

  • Daugulis, P. A parametrization of matrix conjugacy orbit sets as unions of affine planes, Linear algebra and its applications, V. 436, N. 3.,  2012, 709-721. Elsevier DOI: 10.1016/j.laa.2011.07.032 PDF

  • Daugulis, P., Shapkova, A. Research of mathematical reaction time of schoolchildren for improving mathematical education. In P.Daugulis (Ed.), Teaching mathematics: retrospective and perspectives. Proceedings. Daugavpils University, Daugavpils, 2010. PDF

 
  • Daugulis, P. A new canonical form of matrices, Acta Societatis Mathematicae Latviensis, 9, 2010.
 
  • Daugulis, P. Algebra automorphism action in the tame case, Acta Societatis Mathematicae Latviensis, 8, 2008.

 
  • Daugulis, P. Action of algebra automorphisms on its modules and families of indecomposable modules, Acta Societatis Mathematicae Latviensis, 6, 2004.

 
  • Agur, Z., Arakelyan, L., Daugulis, P., Ginosar, Y. Hopf point analysis for angiogenesis models, Discrete And Continuous Dynamical Systems – Series B, 4 (1), 2004. PDF
Activities  
 
  • Member of the Latvian Mathematical Society
 
  • Chairman of the Program and Organizing Committee of the 11th International Conference "Teaching mathematics: retrospective and perspectives", May 6 - 7, 2009, Daugavpils, Latvia
 
  • Project manager of the EEA funded research project Nr EEZ09AP-31 “ Research of mathematical reaction time of schoolchildren for improving mathematical education