**Department Head:** Prof. Dr. Klavdija Kutnar

**The Department of Mathematics (OM)** is one of the world's two main centres for algebraic graph theory. Researchers in the department are strongly involved in the international environment, both through research collaborations with colleagues abroad and through the organisation of internationally renowned scientific events. The department regularly trains young researchers.

Key **research areas** of the department:

- Algebra,
- Combinatorics with graph theory (Discrete mathematics),
- Cryptography,
- Probability calculus.

Key **achievements** of the department in the last five years:

- Successful implementation of the research programme
**P1-0285**Algebra, Discrete Mathematics, Probability Calculus and Game Theory; - Successful implementation of the research programme
**P1-0404**Mathematical modelling and encryption: from theoretical concepts to everyday applications and establishment of the Centre for Cryptography; - The organisation of the 8th European Congress of Mathematics (
**8ECM**) in June 2021; - The publication of two scientific journals
*Ars Mathematica Contemporanea*(**AMC**), which is included in the SCI list of journals in the field of mathematics, and*The Art of Discrete and Applied Mathematics*(**ADAM**), which has already been included in the Scopus database and is currently under evaluation for inclusion in the SCI list; - Successful acquisition of 17 research projects funded by the ARRS, 7 of them based on the positive evaluation of applications to ERC calls and a number of bilateral projects (with the USA, Russia, Austria, Germany, etc.);
- Two Zois Awards for excellence (2019, 2021) and two Zois Awards for major achievements (2017, 2020).

Key **objectives** of the department for the next five years:

- (Co-)organisation of high-profile international conferences and summer schools,
- Obtaining at least one ERC project,
- Simultaneous training of at least 20 young researchers,
- Simultaneous training of at least 5 postdoctoral researchers,
- Successful launch of a new scientific journal,
*Discrete Mathematical Chemistry*.

Key **publications and events** of the department:

*AMC - Ars Mathematica Contemporanea*,*ADAM - The Art of Discrete and Applied Mathematics,**Discrete Mathematical Chemistry*,- Annual organisation of the Doctoral Summer School of Discrete Mathematics at Rogla,
- Participation in the organisation of the traditional Slovenian Graph Theory Conference in Bled every four years,
- Research seminars - General Mathematics Seminar (every Monday at 10 am), Statistics Seminar, Biomathematics and Mathematical Chemistry Seminar.

**Science promotion activities: **researchers are involved in the preparation and organisation of FAMNIT's Excursions into the Mathematical Universe lectures, the Mathematics is Cool camp and the Mathematical Advent Calendar.

*Researchers of the Department of MathematicsProjects of the Department of Mathematics*