Pristupačnost
- Bibliography (CROSBI)
- List of select publications
- Biography
- Teaching
- Research areas
- Professional memberships
- List of select projects
Super-regular Steiner 2-designs
Enumeration of spanning trees of a graph
Counting trees with a small number of vertices
Looking for additive Steiner 2-designs
Designs from parallel lines of an affine geometry
Graph decompositions in projective geometries
The first example of a simple 2-(81, 6, 2) design
Graph Classification Problem
Designs over finite fields by difference methods
Motivation for Learning Mathematics in Students of Electrical Engineering and Computing
The concept of a new model of vocational teachers professional development
q-analogs of group divisible designs
Some New Results on Hadamard Partitioned Difference Families
Searching for Hadamard Partitioned Difference Families
Mathematics in Smartphones
Tight sets in finite classical polar spaces
On the extendability of particular classes of constant dimension codes
Combinatorial designs over finite fields
Graph decompositions in projective geometries
What (de)motivates one to volunteer in K-12 STEM-C outreach activities?
On the extendability of particular classes of constant dimension codes
Designs Over Finite Fields
Automorphisms of designs over finite fields
On a property of (n ; 2k-2 ; k)-subspace codes
Tactical decompositions of designs over finite fields
Non-existence of a simple 3-(16, 7, 5) design with an automorphism of order 3
On the automorphism group of a binary q-analog of the Fano plane
Necessary conditions for the existence of 3- designs over finite fields with nontrivial automorphism groups
On q-analogs of 3-(v, k, λ) designs
Searching for designs over finite fields with non- trivial automorphism groups
Equations for coefficients of tactical decomposition matrices for t-designs
On the Automorphism Group of the Binary q-Analog of the Fano Plane
Equations of tactical decomposition of designs: application to the problem of existence of 3- (16, 7, 5) design
Kramer-Mesner method enhancements for constructions of finite incidence structures
Tactical decomposition of designs over finite fields
Introduction to graph theory
Impact of technological synchronicity on prospects for CETI
Tight sets on the Hermitian variety H(2r+1, q^2)
The Kramer–Mesner method with tactical decompositions: some new unitals on 65 points
Kramer-Mesner with tactical decomposition
Construction of t-(v, k, λ)-designs with prescribed automorphism group
How to construct (v, k, λ)-designs fast and easily
Some new designs with automorphism of order six
Heuristic algorithms for 0-1 knapsack problem
Online database of math definitions e-Ghetaldus
- Identifying codes for generalized quadrangles. (with T. Heger, G. Kiss, A. Nakić, L. Storme), Journal of Geometry 115, 9, (2024) [journal]
- Banff designs: difference methods for coloring incidence graphs. (with M. Buratti, F. Merola, C. Rubio-Montiel), submitted (2023) [arxiv]
- Additivity of symmetric and subspace designs. (with M. Buratti), submitted (2023) [arxiv]
- A few more Hadamard Partitioned Difference Families. to appear in Bulletin of Institute of Combinatorics and its Applications 100, 54 - 72 (2024) [arxiv] [journal]
- Super-regular Steiner 2-designs. (with M. Buratti), Finite Fields and Their Applications Volume 85, 102116 (2023) [arxiv] [journal]
- The first example of a simple 2-(81, 6, 2) design, Examples and Counterexamples, 1 (2021) [journal]
- Graph decompositions in projective geometries. (with M. Buratti, A. Wassermann), J. Combin. Des. 29, 3, 141-174 (2021) [arxiv] [journal]
- Designs over finite fields by difference methods. (with M. Buratti), Finite Fields Appl. 57, 128-138, (2019) [arxiv] [journal]
- q -analogs of group divisible designs. (with M. Buratti, M. Kiermaier, S. Kurz, A. Wassermann), , in: K.-U. Schmidt, A. Winterhof (Eds.), Combinatorics and Finite Fields: Difference Sets, Polynomials, Pseudorandomness and Applications, in: Radon Series on Computational and Applied Mathematics, vol.23, 21-38, de Gruyter, Berlin, 2019. [arxiv] [book]
- Necessary conditions for the existence of 3-designs over finite fields with nontrivial automorphism groups. (with M. De Boeck), pp 18 [arxiv]
- Tight sets in finite classical polar spaces. (with L. Storme) Adv. Geom. 17, no 1, 109-129 (2017) [journal]
- On the automorphism group of a binary q-analog of the Fano plane. (with M. Braun and M. Kiermaier), European J. Combin. 51, 443–457 (2016) [arxiv] [journal]
- Non-existence of a simple 3-(16, 7, 5) design with an automorphism of order 3. Discrete Math. 338, no. 4, 555–565 (2015) [pdf] [journal]
- On the extendability of particular classes of constant dimension codes. (with L. Storme) Des. Codes Cryptogr. 79, no. 3, 407-422 (2016) [pdf] [journal]
- Tactical decompositions of designs over finite fields. (with M.O. Pavcevic) Des. Codes Cryptogr. 77, no. 1, 49-60 (2015) [pdf] [journal]
- Equations for coefficients of tactical decomposition matrices for t-designs. (with M.O. Pavcevic and V. Krcadinac) Des. Codes Cryptogr. 72, no. 2, 465–469 (2014) [pdf] [journal]
- The Kramer–Mesner method with tactical decompositions: some new unitals on 65 points. (with M.O. Pavcevic and V. Krcadinac) J. Combin. Des. 19, 4, 290-303 (2011) [pdf] [journal]
Biography
Research Interests
- Design Theory. Galois Geometry. Coding Theory.
- Characterization and classification of finite geometries and related structures.
- Additive designs, designs over finite fields, q-Steiner systems, subspace codes, q-analogs of group divisible designs, graph decomposition over finite fields.
- Tight sets, minihypers, partial spreads.
- Algorithms for finite geometries.
- Combinatorial optimization.
Organisation of Conferences
- Combinatorial Constructions Conference, April 7-13, 2024, Dubrovnik, Croatia
- Constructive and Probabilistic Methods in Combinatorics, September 4 - 8, 2023, Zagreb, Croatia
- Pushing the Limits of Computational Combinatorial Constructions, April 16 –21, 2023, Dagstuhl Seminar, Germany
- Combinatorial Constructions Workshop, June 27 - 29, 2022, Zagreb, Croatia
Service
- 2023 - 2024, Equal opportunities committee, UNIZG-FER, president
- 2022 - 2024, Committee for internal assessment of the quality assurance system, UNIZG-FER, vice president
- 2022 - 2024, Committee for research and innovation, UNIZG-FER, member
Education
- Ph.D. in Mathematics, Department of Mathematics, Faculty of Science, University of Zagreb, 2013
- M.Sc. in Mathematics, Department of Mathematics, Faculty of Science, University of Zagreb, 2006
Teaching
University undergraduate
- Discrete Mathematics 1 (Lecturer in charge)
- Discrete Mathematics 1 (Lecturer in charge)
- Linear Algebra (Lecturer in charge)
- Linear Algebra (Lecturer in charge)
- BSc Thesis (Lectures)
- BSc Thesis (Lectures)
- Final BSc Thesis (Lectures)
- Project C (Lectures)
- Project C (Lectures)
- Software Design Project (Lectures)
Postgraduate doctoral study programme
- Selected topics in discrete mathematics (Lecturer in charge)
Competences
-
Information theory
Linear codes Codes Error correction codes Network coding -
Mathematics
Combinatorial mathematics Projective geometry -
Information theory
Linear codes Codes Error correction codes Network coding
Professional memberships
Science popularisation
- Podcast of IEEE Croatian Section WIE - ŽensCast
Lectures
- Gender equality plan of FER, European Women in Mathematics, Croatian Section (2022)
- Round table on research careers, Mutimir 2020, Penkala Association (2020) [link]
- Mathematics in smartphones, workshop for teachers of mathematics on popularisation of STEM professions in the classroom. 8th Congress of Mathematics Teachers, Zagreb (2018) [Math excersizes inspired by technology, for high schools]
- Ars Combinatoria, Science Festival, Technical Museum, Zagreb (2016) [link]
- Messages from the Moon. Evening of Mathematics (2015)
- Little secret in our smartphones. Open Days of Faculty of Electrical Engineering and Computing (2014)
- Mathematics in our smarthphones. Evening of Mathematics (2014)
Organizing Committee of ŠUZA (2015-2017)
- #FERgirl [in the media]
- Open Doors of the Faculty of Electrical Engineering and Computing (2015, 2016, 2017)
- Državna smotra učenički radova iz "Obrazovnog sektora elektrotehnika i računalstvo", FER (2016)
- EU Code Week, Faculty of Electrical Engineering and Computing (2015, 2016) [in the media]
- Arduino day, Faculty of electrical Engineering and Computing (2015)
- Hour of code, Faculty of Electrical Engineering and Computing (2014, 2015, 2016)
Professional memeberships
List of select projects
- 2021 - 2025 Algorithmic Constructions of Combinatorial Objects, HRZZ, Research Associate
- 2020 - 2024 The CALIPER project: Linking research and innovation for gender equality, H2020, National Principal Investigator
- 2020 - 2024 European Network For Gender Balance in Informatics, COST, Member of Management Committee
- 2019 - 2023 Kombinatorički objekti i kodovi, HRZZ, Research Associate
- 2018 - 2019, Modernization of the system of professional development of vocational teachers, ESF, Associate
- 2014 - 2016 Flexible Energy Nodes In Low Carbon Smart Grid, HRZZ, Postdoctoral Researcher
- 2014 - 2018 Codes and Related Combinatorial Structures, HRZZ, Research Associate
- 2012 - 2016 Random Network Coding and Designs over GF(q), COST, Research Associate
- 2007 - 2013 Combinatorial designs and finite geometries, MZOS, Junior Researcher