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, finite group theory, graph theory, 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., Proof as a mathematical object - proposals for a research program, Baltic J. Modern Computing, Vol. 8, No. 2, 2020, pp. 202212.
  •  Daugulis P., Krastina, E., Sondore, A., Vagale, V. Variety of arrangements of numerical data for a deeper understanding of mathematics. In Society. Integration. Education. Proceedings of the International Scientific Conference (Rezekne, Latvia, May 22-23, 2020), Vol. I, Rezekne Academy of Technologies, 2020, 107-118. link
  • Daugulis, P. Classification and normal forms of planar 4-multisets and quadrangles, Journal for Geometry and Graphics, Vol. 22, No. 1, 2018, 031-039. link
  • Daugulis, P. Classifying nonequivalent presentations of finite groups - the case of dicyclic groups, JP Journal of Algebra, Number Theory and Applications, Vol. 40, No. 6, 2018, 1029-1042. link
  • Daugulis, P., Sondore, A. Visualizing matrix multiplication, PRIMUS, Vol. 28, No. 1, 2018, 90-95. link
  • Daugulis, P. Classification and normal forms of triangles for geometry education. In M. Avotiņa (Editor-in-Chief), Proceedings of the 18th international conference Teaching Mathematics: Retrospective and Perspectives (Riga, Latvia, May 12-13, 2017), Riga, University of Latvia, 2018, 22-29. link
  • Sondore, A., Daugulis, P. Combinatorics problems with parameters. In M. Avotiņa (Editor-in-Chief), Proceedings of the 18th international conference Teaching Mathematics: Retrospective and Perspectives (Riga, Latvia, May 12-13, 2017), Riga, University of Latvia, 2018, 52-60. link
  • Sondore, A., Krastina, E., Daugulis, P., Drelinga, E. Construction of negations in the context of critical thinking for primary school. In V. Lubkina, S. Usca, A. Zvaigzne (Editors), Society. Integration. Education. Proceedings of the International Scientific Conference (Rezekne, Latvia, May 25-26, 2018), Vol. II, Rezekne Academy of Technologies, 2018, 454-463. link
  • 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, Vol. 53, No. 1, 13-18. link
  • Daugulis, P. Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups, Algebra and Discrete Mathematics, Vol. 23, No. 2, 2017, 204-215. link
  • Daugulis, P., Vagale, V. Normal forms of triangles and quadrangles up to similarity, The Journal for Geometry and Graphics, 2016, Vol. 20, No. 2, 173184. link
  • Sondore, A., Krastiņa, E., Daugulis, P., Drelinga, E. Pamatjēdzienu izpratne skolas matemātikas kompetenču apguvē, Proceedings of the International Scientific Conference "Society. Integration. Education", Vol. II, 2016. Rezekne: Rezeknes Academy of Technologies, 330-342. ISSN 1691-5887. link
  • 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, Vol. 59, No. 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, Vol. 436, No. 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 (Editor), Teaching mathematics: retrospective and perspectives. Proceedings. Daugavpils University, Daugavpils, 2010. PDF
  • 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"