## Research

The Department of Mathematics has 31 employees, 21 of which are PhDs (11 are holding tenure track positions), an MSc and one administrative employee. Since its establishment in 2008, 15 employees of the Department have obtained a Ph.D. degree in mathematics.

Employees of the Department participate (in roles such as principal investigator, researchers or doctoral students) in 13 projects.

**Projects financedby the Croatian Science Foundation:**

- Combinatorial Objects and Codes (principal investigator: Dean Crnković)
- Transfer operators, statistical laws and infinite dimensional dynamical systems (principal investigator: Davor Dragičević)
- Galois geometry and coherent configurations (principal investigator: Andrea Švob)

**Bilateral projects: **

- Designs, codes, graphs and cryptography - interdisciplinary approach to discrete structure analysis (principal investigator: Sanja Rukavina), bilateral project Načrti, kode, grafi in kriptografija interdisciplinarni pristop v analizi določenih diskretnih struktur (Univerza na Primorskem, Inštitut Andrej Marušič - principal investigator Enes Pasalic).

**Support for research at the University of Rijeka**:

- Codes, groups and combinatorial structures (principal investigator: Dean Crnković)
- Methods of mathematical analysis in theoretical and applied mathematics (principal investigator: Davor Dragičević)
- Designs, graphs and linear codes (principal investigator: Sanja Rukavina)
- Permutation groups as designs, geometric designs and finite geometries(principal investigator: Vedrana Mikulić Crnković)

**Finished projects: **

- Codes and Related Combinatorial Structures (principal investigator: Dean Crnković), project financed by the Croatian Science Foundation (2014-2018)
- Block designs, strongly regular graphs and related combinatorial structures (principal investigator: Dean Crnković), support for research at the University of Rijeka (2013-2018)
- Algebraic and analytic methods in number theory (principal investigator: Neven Grbac), support for research at the University of Rijeka (2013-2018)
- Mathemathical and numerical modelling of a compresible micropolar fluid (principal investigator: Nermina Mujaković), support for research at the University of Rijeka (2013-2018)
- Nonautonomous dynamical systems: hyperbolicity and statistical properties (principal investigator: Davor Dragičević), initial support for research at the University of Rijeka for young researchers (2018)
- Permutation groups as designs, geometric designs, codes and finite geometries (principal investigator: Vedrana Mikulić Crnković), initial support for research at the University of Rijeka for young researchers (2018)
- Modelling and control of dynamical systems with applications (principal investigator: Bojan Crnković), initial support for research at the University of Rijeka for young researchers (2017)
- Permutation groups as designs, geometric designs, codes and finite geometries (principal investigator: Vedrana Mikulić Crnković), initial support for research at the University of Rijeka for young researchers (2017)
- Cohomology of arithmetic groups and automorphic forms (principal investigator: Neven Grbac, financed by: Ministry of science, education and sports of the Republic of Croatia and Bundesministerium fur Wissenschaft, Forschung und Wirtschaft of the Republic of Austria).
- Modeling anomalous diffusion by generalized Langeven, Fokker-Planck equations and fractional diffusion-wave equations (Anomalous diffusion) (principal investigator: Živorad Tomovski; NEWFELPRO project)

Employees of the Department take part as researchers in the following projects:

- Algebraic and combinatorial methods in vertex algebra theory (principal investigator: Dražen Adamović, financed by: Croatian Science Foundation),
- Diophantine m-tuples, elliptic curves, Thue and index form equations (principal investigator: Andrej Dujella, financed by: Croatian Science Foundation),
- Automorphic forms, representations, and applications (principal investigator: Goran Muić, financed by: Croatian Science Foundation),
- Stochastic Methods in Analytical and Applied Problems (principal investigator: Zoran Vondraček, financed by: Croatian Science Foundation),
- Ecological modelling in the coastal region of Rijeka bay (principal investigator: Lado Kranjčević, financira: Sveučilište u Rijeci),
- (Meta)cognitive, affective and motivational determinants of success in learning in different surroundings (principal investigator: Svjetlana Kolić-Vehovac, financed by: University of Rijeka).
- Regulated systems of cooperation: Foundations and applications (principal investigator: Vivek Nigam), project Research Without Borders (Brasil).
- Language Complexe Networks - LangNet (principal investigator: Sanda Martinčić-Ipšić, financed by: University of Rijeka),
- On A Data-Driven, Operator-Theoretic Framework for Space-Time Analysis of Process Dynamics (principal investigator: Maria Fonoberova; financira: Defense Advanced Research Projects Agency (SAD))

There are three divisions on the Department of Mathematics:

- Division of Algebra and Number Theory
- Division of Discrete Mathematics
- Division of Mathematical Analysis

The biggest science conference that the Department has organized was The Fifth Croatian Mathematical Congress 2012 (193 participants from 15 countries, six plenary lectures, eight invited lectures, 104 short communications, 15 posters, three round tables with current topics in mathematics and mathematics education in Croatia.).