Division of Algebra and Number Theory
Chair:
Assist. Prof. Ana Jurasić
Members:
 Assoc. Prof. Neven Grbac
 Assist. Prof. Tajana Ban Kirigin
 Assist. Prof. Marijana Butorac
 Assist. Prof. Ana Jurasić
 Assist. Prof. Vera Tonić
 Sen. Lecturer Rene Sušanj
 Dr. Sanda Bujačić
 Dr. Nevena Jurčević Peček

Luka Mikec
Division of Algebra and Number Theory was founded in late 2010 by dividing up the former Division of Algebra and Discrete Mathematics. The Division has 9 members, five of which are holding tenure track positions, two senior teaching assistants, one teaching assistant and a senior lecturer.
Science
Scientific activities of the members of the Division pertain to the areas of algebra, number theory, mathematical analysis, geometry and topology and computing. In particular, the Division members' area of research interests includes:
 Langlands program, automorphic forms
 Representation theory
 Cohomology of arithmetic groups
 Affine Lie algebras and vertex operator algebras
 Diophantine and Thue equations
 Dimension theories, Bockstein base, resolution theorems
 Geometric group theory, coarse geometry
 The theory of computation, formal models of collaboration systems, analysis of the security protocols
Members of the Division participate in the implementation of the Croatian Doctoral Program in Mathematics (joint program of J.J. Strossmayer University of Osijek, University of Rijeka, University of Split, University of Zagreb).
Active research projects in which members of the Division participate:

Algebraic and Analytic Methods in Number Theory (principal investigator: Neven Grbac)
University of Rijeka research grant no. 13.14.1.2.02 for the period 20132015

Cohomology of Arithmetic Groups and Automorphic Forms (principal investigators: Neven Grbac and Joachim Schwermer)
bilateral cooperation project of Croatia and Austria for the period 20142015

Automorphic Forms, Representations and Applications (principal investigator: Goran Muić)
Croatian Science Foundation research grant no. 9364 for the period 20142018

Algebraic and Combinatorial Methods in Vertex Algebra Theory (principal investigator: Drazen Adamovic)
Croatian Science Foundation research grant no. 2634 for the period 20142018

Diophantine mtuples, Elliptic Curves, Thue and Index Form Equations (principal investigator: Andrej Dujella)
Croatian Science Foundation research grant no. 6422 for the period 20142018

Regulated Colaborative Systems: Foundations and Applications (principal investigator: Vivek Nigam)
Research Without Borders project (Brazil) for the period 20132016

LangNet  Complex Language Networks (principal investigator: Sanda MartinčićIpšić)
University of Rijeka initial research grant no. 13.13.2.2.07 for the period 20132015
Finished research projects in which members of the Division participated:

Unitary Representations of Classical Groups and Automorphic Forms (principal investigator: Marko Tadic)
Croatian Ministry of Science, Education and Sport research project no. 03703727942804 for the period 20072013 
Vertex Operator Algebras and Infinitedimensional Lie Algebras (principal investigator: Mirko Primc)
Croatian Ministry of Science, Education and sports research project no. 03703727942806 for the period 20072013 
Diophantine Equations and Elliptic Curves (principal investigator: Andrej Dujella)
Croatian Ministry of Science, Education and Sport research project no. 03703727812821 for a period 20072013 
Mathematical Logic and Applications (principal investigator: Zvonimir Šikić)
Croatian Ministry of Science, Education and Sport research project no. 12012031643074 period 20072013 
Logic and Reality (principal investigator: Majda Trobok)
Croatian Ministry of Science, Education and Sport research project no. 00900913280941 for the period 20072013 
Arithmeticcombinatorial Problems and Applications (principal investigator: Andrej Dujella)
bilateral cooperation project of Croatia and Austria for the period 20102011
Selection of scientific articles:

N. Grbac, J. Schwermer
On residual cohomology classes attached to relative rank one Eisenstein series for the symplectic group,
Int. Math. Res. Not. IMRN 2011, no. 7, 16541705.

N. Grbac, H. Grobner
The residual Eisenstein cohomology of Sp_{4} over a totally real number field,
Trans. Amer. Math. Soc. 365 (2013), no. 10, 51995235.

N. Grbac
On the residual spectrum of split classical groups supported in the Siegel maximal parabolic subgroup
Monatsh. Math. 163 (2011), no. 3, 301314.

M. Butorac
Combinatorial bases of principal subspaces for the affine Lie algebra of Type B_{2}^{(1)} ,
J. Pure Appl. Agebra 218 (2014), no. 3, 424447.

A. Dujella A. Jurasić
On the size of sets in a polynomial variant of a problem of Diophantus
Int. J. Number Theory 6 (2010), no.7, 14491471.

V. Tonić
Bockstein basis and resolution theorems in extension theory
Topology and its Appl. 157 (2010), 674691.

M. Kanovich, T. Ban Kirigin, V. Nigam, A. Scedrov
Bounded memory DolevYao adversaries in collaborative systems
In: Formal Aspects of Security and Trust (FAST 2010), pp. 1833
Lecture Notes in Computer Science vol. 6561, SpringerVerlag, 2011.

M. Kanovich, T. Ban Kirigin, V. Nigam, A. Scedrov
Bounded memory protocols and progressing collaborative systems
In: J. Crampton, S. Jajodia and K. Mayesthe (ed.): 18th European Symposium on Research in Computer Security (ESORICS 2013), pp. 309326
Lecture Notes in Computer Science vol. 8134, SpringerVerlag, 2013.