Klavdija Kutnar is a Slovene

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

. She received her PhD at the

University of Primorska University of Primorska (Slovenian ''Univerza na Primorskem'', Italian ''Università del Litorale'') is by age and size the third university in Slovenia. It is located in Koper, Izola, and Portorož and is named for the Slovenian Littoral region ...

(UP) in 2008. She is Rector of the University of Primorska.

Biography

Klavdija Kutnar was born 23 December 1980, in

Ljubljana Ljubljana (also known by other historical names) is the capital and largest city of Slovenia. It is the country's cultural, educational, economic, political and administrative center. During antiquity, a Roman city called Emona stood in the ar ...

Slovenia Slovenia ( ; sl, Slovenija ), officially the Republic of Slovenia (Slovene: , abbr.: ''RS''), is a country in Central Europe. It is bordered by Italy to the west, Austria to the north, Hungary to the northeast, Croatia to the southeast, an ...

. She graduated from the Faculty of Education of the

University of Ljubljana The University of Ljubljana ( sl, Univerza v Ljubljani, , la, Universitas Labacensis), often referred to as UL, is the oldest and largest university in Slovenia. It has approximately 39,000 enrolled students. History Beginnings Although certain ...

in 2003, and in 2008 received her PhD in mathematics at the University of Primorska under the supervision of

Dragan Marušič Dragan Marušič (born 1953, Koper, Slovenia) is a Slovene mathematician. Marušič obtained his BSc in technical mathematics from the University of Ljubljana in 1976, and his PhD from the University of Reading in 1981 under the supervision of C ...

. From 2010 to 2012 she was head of the Department of Mathematics at the University of Primorska Institute Andrej Marušič (UP IAM). In 2012, she was elected dean of the University of Primorska Faculty of Mathematics, Natural Sciences and Information Technology (UP FAMNIT) and since 2015 has concurrently been assistant director of UP IAM. In 2018 she was granted the titles of Research Counsellor and Full Professor in Mathematics at the

. In 2019 she was elected the fourth rector of the University of Primorska.

Research

Kutnar's main research area is

algebraic graph theory Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches. There are three main branches of algebraic graph t ...

. At the beginning of her research career, she also worked in

mathematical chemistry Mathematical chemistry is the area of research engaged in novel applications of mathematics to chemistry; it concerns itself principally with the mathematical modeling of chemical phenomena. Mathematical chemistry has also sometimes been called com ...

. She is noted for her contribution to the study of the structural properties of particular families of symmetric graphs and in particular, her role in developing the original method of embedding graphs on surfaces to solve special cases of the well-known

Lovász conjecture In graph theory, the Lovász conjecture (1969) is a classical problem on Hamiltonian paths in graphs. It says: : Every finite connected vertex-transitive graph contains a Hamiltonian path. Originally László Lovász stated the problem in the opposi ...

: the problem of finding

Hamiltonian path In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex ...

s and cycles in

vertex-transitive In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in ...

and

Cayley graph In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named after Arthur Cayle ...

s. She is a member of the research program P1-0285, financed by the Slovenian Research and Innovation Agency (ARIS) and led by

. In 2018, she was the first Slovenian female mathematician to obtain a basic research project financed by the ARIS (J1-9110).

Selected publications

* H. H. Glover, K. Kutnar, A. Malnič and D. Marušič, Hamilton cycles in (2, odd, 3)-Cayley graphs, Proc. London Math. Soc., 104 (Issue 6) (2012), 1171–1197
doi:10.1112/plms/pdr042
* K. Kutnar and D. Marušič, Hamilton paths and cycles in vertex-transitive graphs - current directions, Discrete Math. 309 (Issue 17) (2009), 5491–5500
doi:10.1016/j.disc.2009.02.017
* K. Kutnar and D. Marušič, A complete classification of cubic symmetric graphs of girth 6, J. Combin. Theory Ser B 99 (Issue 1) (2009), 162–184
doi: 10.1016/j.jctb.2008.06.001
* K. Kutnar and D. Marušič, Odd extensions of transitive groups via symmetric graphs – the cubic case, J. Combin. Theory, Ser. B 136 (2019) 170–192
doi.org/10.1016/j.jctb.2018.10.003

Selected conference talks

* K. Kutnar, Plenary talk at the G2 conference 2016, Novosibirsk, Russi
On colour-preserving automorphisms of Cayley graphs

Professional work

Kutnar has been a member of the editorial board of the journal ''

Ars Mathematica Contemporanea ''Ars Mathematica Contemporanea'' is a quarterly peer-reviewed scientific journal covering discrete mathematics in connection with other branches of mathematics. It is published by the University of Primorska together with the Society of Mathematic ...

'' since 2016, serving as editor-in-chief from 2018. She is also a member of the editorial boards of the ''Bulletin of the Institute of Combinatorics and its Applications'' and ''

Algebraic Combinatorics Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...

,'' and managing editor of the scientific journal ''ADAM – The Art of Discrete and Applied Mathematics''. She was a Deputy Chair of the Organizing Committee of the 8th

European Congress of Mathematics The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely betwee ...

in 2021, and a member of International Advisory Committee for the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

2022, originally scheduled to take place in

St. Petersburg Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...

Russia Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the ...

. She is a founding member and the secretary of the Slovenian Discrete and Applied Mathematics Society. Since 2017, she has been a member of the Council of the InnoRenew CoE (Center of Excellence for research and innovation in the field of renewable materials and a healthy living environment), and the leader of the investment project “Renewable Materials and Healthy Environments Research and Innovation Center of Excellence – InnoRenew CoE” at UP FAMNIT. In 2017, Kutnar was appointed by the Minister to the Working Group to support the Peer-Counseling Project on the financing of higher education in Slovenia. She is also a member of the Council of the Republic of Slovenia for prizes and awards for outstanding achievements in science, research and development. In 2019, she became the President of the Council of the Republic of Slovenia for Higher Education.

Personal life

Klavdija Kutnar has a twin sister, Andreja, who received the 2018 Zois Award for important scientific achievements in the field of wood science, and is the director of the InnoRenew CoE.

External links

8th European Congress of Mathematics
''website''
Slovenian Discrete and Applied Mathematics Society
''website''
Fulbright scholar
''website''

References

{{DEFAULTSORT:Kutnar, Klavdija 1980 births Living people 21st-century Slovenian mathematicians Women mathematicians Graph theorists Academic staff of the University of Primorska