Projects / Programmes
Algebra, diskretna matematika, verjetnostni račun in teorija iger (Slovene)
January 1, 2009
- December 31, 2014
| Code |
Science |
Field |
Subfield |
| 1.01.00 |
Natural sciences and mathematics |
Mathematics |
|
| 1.07.00 |
Natural sciences and mathematics |
Computer intensive methods and applications |
|
| Code |
Science |
Field |
| 1.01 |
Natural Sciences |
Mathematics |
Researchers (45)
Organisations (4)
Significance for science
Apart from Art, Mathematics is the only universal language of human communication present in all developed civilizations. It is a basis of Natural Sciences and lies in the heart of theoretical Computer Science. Abstract mathematical theories are used in Physics, Engineering, Computer Science and also in Social, Economic and Biomedical sciences. Therefore the influence of Mathematics may be expected in several important areas of human activities, which will have a crucial impact in the 21st century, such as modern Economy, Safe Communications, Data protection, Decoding of Humane Genome. The program stands at the cutting edge of today's research in all of its research areas. The obtained results help to better understand the subtle connections between Algebra and Combinatorics, and Graph Theory in particular. Structural results about objects, measured by the degree of their symmetry, are important in general, not only in mathematics but also in other sciences; for example in chemistry and in the theory of elementary particles. Also our work on probability extends well beyond a strictly mathematical framework, with significant consequences in other sciences. Let as only mention Genetics as one of the most propulsive fields of research today. The multidisciplinary aspect gives additional value to this program, with problems, solutions and results being reflected in hot areas of research such as, experimental economy and the theory of expectations. In particular, the problem of human cooperation is one of the most important recent research topics, with research results frequently published in highest ranked scientific journals such as Science and Nature. The importance of our research goals is evident from the bibliographies of the group members for the period 2009-14, from the citations of obtained results, numerous links with foreign scientists and comprehensive world bibliography in general. The results from the period 2009-14 are published in prestigious international journals and presented at international conferences. Consequently, this gives further recognition to Slovenian mathematical school in Algebra, Combinatorics, Graph Theory, Probability, Mathematical Biology and Game Theory.
Significance for the country
With this program Slovenia is keeping in touch with modern trends in mathematics. Moreover, with inclusion of Game Theory it goes hand in hand with contemporary methods of mathematical modeling based on computer simulations and laboratory verifications. But first of all the program is important for Slovenia because it established a strong and good quality School of Mathematics at UP FAMNIT with an excellent worldwide reputation. »In the past years I successfully competed at many national and international mathematical contests. I like the fact that Famnit supports me at this and I also appreciate the opportunity to participate at the research at my age. ... The one thing I’m sure of is that mathematics will play an important role in my life.« Ratko Darda, undergraduate Math student at UP from BiH, Bronze medal on International Mathematical Olympiad 2012 (Argentina), Bronze medal on International Mathematical Olympiad 2011 (Netherlands). »I come from Mexico where I studied at the National University of Mexico. I enrolled in a PhD programme on Famnit because it was a great opportunity for me to continue my studies in one of the strongest research groups in the area I’m most interested in – the Algebraic Graph Theory. ... I also want to highlight all the chances the faculty provides for participation at international conferences and vivid cooperation with research groups from all around the globe.« Sergio Hiroki Koike Quintanar, Young researcher at UP IAM and PhD student at UP FAMNIT. »After finishing my PhD at the University of Auckland, New Zealand, I came to Koper, where I have the opportunity to work with mathematicians like prof. Dragan Marušič and prof. Aleksander Malnič, who are experts in my research area. The research group has a very good international reputation and developed strong cooperation with mathematicians from abroad. ...« Jicheng Ma, PhD, Post-doc researcher at UP IAM. »I study symmetry in graphs and here at UP Famnit they have one of the best programmes in the world. Since they are very active in organizing conferences and workshops basically everyone from this scientific field comes to UP FAMNIT so this is where I meet the world.« Prof. Edward T. Dobson, Mississippi State University, USA and UP. The members of the group believe that among all ways of knowledge transfer, the most important is the transmission of experience and knowledge from older generations to young. Therefore they encourage the participation of students in their projects – this way their projects get new drive and students get experience, and insight in practical use of gained knowledge. These stormy times of social changes call for an even tighter incorporation of Mathematics into scientific research and education thus enabling a faster technological development in Slovenia. Our group already has many experiences in this field. The program group is included into a grant awarded by the European Commission under the Horizon 2020 Teaming grant instrument. The purpose of the funds is to increase innovation excellence in Europe in general, especially in member states underperforming in innovation. Let us conclude with the following statements. Our existence as a fully developed nation in Europe depends as much on preserving our language and culture as it depends on having a highly educated population. It is thus necessary to be able to use different communication channels – and mathematics, as a universal language, is a key factor here. Hence, the above discussion shows that the proposed program plays an essential role in the strengthening of Slovene national identity, in particular in its western, most vulnerable part of Primorska.
Most important scientific results
Annual report
2009,
2010,
2011,
2012,
2013,
final report,
complete report on dLib.si
Most important socioeconomically and culturally relevant results
Annual report
2009,
2010,
2011,
2012,
2013,
final report,
complete report on dLib.si
