

Peteris Daugulis 




Leading
researcher,
Ph.D. 

Mathematical
Research Center 

Department of
Technology 

Institute of
Life Sciences and Technology 

Daugavpils
University 

Parades street 1 

LV5400,
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 Emodules"

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 



 A. Sondore and P.
Daugulis, Parameters in formulations and solutions of introductory
probability problems, In Society. Integration. Education. Proceedings of
the International Scientific Conference (Rezekne, Latvia, May 27, 2022),
Vol. I, Rezekne Academy of Technologies, 2022, 261271.
link

 P. Daugulis, V.
Vagale, E. Mancini, and F. Castiglione, Baltic Journal of Modern
Computing, Vol. 10, Iss. 1, 2022, pp. 116.
link

 P. Daugulis, A. Sondore, Linear
functional graphs ‒ a data arrangement and visualization tool for linear
algebra, In Rural environment. Education. Personality, Proceedings of
the International Scientific Conference (Jelgava, Latvia, May 78,
2021), Vol. 14, Latvia University of Life Sciences and Technologies,
2021, 6673.
link

 A. Sondore, V. Beinaroviča, E.
Krastiņa, P. Daugulis, Improving methodic competence of primary school
mathematics teachers on selfdirected learning in Latvia, In Society.
Integration. Education. Proceedings of the International Scientific
Conference (Rezekne, Latvia, May 2829, 2021), Vol. II, Rezekne Academy
of Technologies, 2021, 583593.
link

 Daugulis P.,
16vertex graphs with automorphism groups A4 and A5 from the icosahedron,
Electronic Journal of Graph Theory and Applications, Vol. 8, No. 2, 2020, pp. 211–216.
link

 Daugulis P., Proof
as a mathematical object  proposals for a research program, Baltic
Journal of Modern Computing, Vol. 8, No. 2, 2020, pp. 202–212.
link

 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 2223, 2020),
Vol. I, Rezekne Academy of Technologies, 2020, 107118.
link


Daugulis, P. Classification and normal forms
of planar 4multisets and quadrangles, Journal for Geometry and Graphics,
Vol. 22, No. 1, 2018, 031039.
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,
10291042.
link


Daugulis, P., Sondore, A. Visualizing matrix
multiplication, PRIMUS, Vol. 28, No. 1, 2018, 9095.
link

 Daugulis, P. Classification and normal
forms of triangles for geometry education. In M. Avotiņa
(EditorinChief), Proceedings of the 18th international conference
Teaching Mathematics: Retrospective and Perspectives (Riga, Latvia, May
1213, 2017), Riga, University of Latvia, 2018, 2229.
link

 Sondore, A., Daugulis, P.
Combinatorics problems with parameters. In M. Avotiņa (EditorinChief),
Proceedings of the 18th international conference Teaching Mathematics:
Retrospective and Perspectives (Riga, Latvia, May 1213, 2017), Riga,
University of Latvia, 2018, 5260.
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 2526, 2018),
Vol. II, Rezekne Academy of Technologies, 2018, 454463.
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, 1318.
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, 204215.
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, 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", Vol. II, 2016. Rezekne: Rezeknes Academy
of Technologies, 330342. ISSN 16915887.
link


Daugulis, P.
Graph structure of commuting functions,
arXiv:1407.6035,
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,
261264.
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, 709721.
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 



