Anamari Nakic, Ph.D.

Assistant Professor

University of Zagreb 

Faculty of electrical engineering and computing

Department of Applied Mathematics

Unska 3, 10000 Zagreb, Croatia

 

 

Room: D-179

Phone: +385 1 6129 461

Email: anamari.nakic[ @ ]fer.hr

Curriculum Vitae:  en 

 

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

Research Interests

  • Design Theory. Galois Geometry. Coding Theory.
  • Characterization and classification of finite geometries and related structures.
  • Algorithms for finite geometries.
  • Designs over finite fields, q-Steiner systems, subspace codes.
  • Tight sets, minihypers, partial spreads.
  • Combinatorial optimization.

Research Papers

  1. Necessary conditions for the existence of 3-designs over finite fields with nontrivial automorphism groups. (with M. De Boeck), submitted, pp 18 (2015) [arxiv]
  2. Tight sets in finite classical polar spaces. (with L. Storme) Advaces in Geomety 17, no 1, 109-129 (2017) [journal]
  3. 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]
  4. Non-existence of a simple 3-(16, 7, 5) design with an automorphism of order 3. Discrete Mathematics 338 no. 4, pp. 555–565 (2015) [pdf] [journal]
  5. On the extendability of particular classes of constant dimension codes. (with L. Storme) Des. Codes Cryptogr. 79 , no. 3, 407-422 (2016) [pdf] [journal]
  6. Tactical decompositions of designs over finite fields. (with M.O. Pavcevic) Des. Codes Cryptogr. 77, no. 1, 49-60 (2015) [pdf] [journal]
  7. 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]
  8. The Kramer–Mesner method with tactical decompositions: some new unitals on 65 points. (with M.O. Pavcevic and V. Krcadinac) Journal of combinatorial designs 19, 4; 290-303 (2011) [pdf] [journal]


Talks at International Conferences or Foreign Universities

  1. Designs Over Finite Fields. 3rd Istanbul Design Theory, Graph Theory and Combinatorics Workshop, Istanbul, Turkey (June 2016)
  2. Automorphisms of designs over finite fields. Combinatorics 2016, Maratea, Italy (June 2016)
  3. On a property of (n, 2k-2, k)-subspace codes. Network Coding and Designs, Dubrovnik, Croatia (April 2016)
  4. Combinatorial designs: man versus machine. Seminario di Geometria, Sapienza Universita di Roma, Rome, Italy, (June 2015)
  5. Searching for designs over finite fields with non-trivial automorphism groups. 8th Slovenian Conference on Graph Theory, Kranjska Gora, Slovenia (2015)
  6. On q-analogs of 3-(v, k,λ) designs. ALCOMA 2015, Kloster Banz, Germany (2015)
  7. Equations of tactical decomposition of designs: application to the problem of existence of 3-(16, 7, 5) design. Combinatorics 2014, Gaeta, Italy (2014)
  8. Tight sets in finite classical polar spaces. Seminars on Incidence Geometry, Ghent, Belgium, (December 2013)
  9. On the designs with prescribed automorphism groups. Seminars on Incidence Geometry, Ghent, Belgium, (November 2013)
  10. Tactical decomposition of designs. Seminar of combinatorial theory, Technical University Eindhoven, Netherlands, (September 2013)
  11. Tactical decomposition of designs over finite fields. Conference on Random network codes and Designs over GF(q), Ghent, Belgium (2013)
  12. Equations for coefficients of tactical decomposition matrices for t-designs. Seminar on finite mathematics, University of Rijeka (April 2013) 
  13. Tight sets on the Hermitian variety H(2r+1, q^2). 5th Croatian Mathematical Congress (2012)
  14. Kramer-Mesner with tactical decomposition. Nikolaus Conference 2011, Aachen, Germany (2011)
  15. Kramer-Mesner with tactical decomposition. Colloquium on Galois Geometry, Ghent, Belgium (2011), invited talk
  16. Design theory. Math Society Seminar, National University of Ireland, Galway, Ireland (April 2011)
  17. Construction of t-(v, k, λ)-designs with prescribed automorphism group. Information Security and Related Combinatorics, Opatija, Croatia (2010), poster
  18. How to construct (v, k, λ) designs fast and easily. 2nd Canadian Discrete and Algorithmic Mathematics Conference, Montreal, Canada (2009)
  19. Some new designs with automorphism of order six. 1st Istanbul Design Theory & Combinatorics Conference, Istanbul, Turkey (2008)

Grants

Other Publications 

  • Impact of technological synchronicity on prospects for CETI. (with M. Horvat and I. Otočan), International Journal of Astrobiology 11, pp. 51-59 (2012) [arxiv] 
  • Heuristic algorithms for 0-1 knapsack problem. Math.e 4 (2005) [journal]
  • Online database e-Ghetaldus. (with I. Ugrina) Math.e 6 (2005) [journal]

Courses (in Croatian)

  • Matematika 3R, FER, 2016
  • Linearna algebra, Preddiplomski studij vojnog inzenjerstva na Sveucilistu u Zagrebu za potrebe Oruzanih snaga Republike Hrvatske, 2015, 2016
  • Matematika 2, FER, 2017
  • Matematika 1, Preddiplomski studij vojnog inzenjerstva na Sveucilistu u Zagrebu za potrebe Oruzanih snaga Republike Hrvatske, 2014
  • Matematika 2, FER, 2013

Tutorials (in Croatian)

Texbooks

  • Mathematics 3R (with N. Elezovic, D. Kovacevic, M.O. Pavcevic, D. Zubrinic), Faculty of Electrical Engineering and Computing, University of Zagreb, 2015
  • Graph theory (with M. O. Pavcevic), Faculty of Electrical Engineering and Computing, University of Zagreb, 2013

Lecture Notes for Courses

  • Linear algebra, Undergraduate Study Programme in Military Engineering, University of Zagreb, 2015
  • Graph Theory (with M. O. Pavcevic), Faculty of Electrical Engineering and Computing, University of Zagreb, 2014

Computer Skills 

  • Programing languages: c, c++, Java, c#
  • Computer algebras: GAP, Mathematica, Maxima, GeoGebra

Popular Lectures

  • Ars Combinatoria, Science Festival, Technical Museum, Zagreb (2016) [link]
  • Messages from the Moon. Evening with Mathematics, (2015)
  • Little secret in our smartphones. Open Days of Faculty of Electrical Engineering and Computing, (2014)
  • Mathematics in our smarthphones. Evening with Mathematics, (2014)

Organizing Committee of [SUZA] 

  • Državna smorta učenički radova iz "Obrazovnog sektora elektrotehnika i računalstvo", FER (2016)
  • Open Doors of the Faculty of Electrical Engineering and Computing (2015, 2016) [link]
  • 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)

Projects

  • e-Ghetaldus - web database of mathematical terms in Croatian language [link]

Languages 

  • Croatian: mother tongue 
  • English: active knowledge
  • Francais: connaissance active
  • Italiano: conoscenza attiva
  • Nederlands: passieve kennis
  • 中國 : 我不會說中國話

Yellow-Red-Blue by Wassily Kandinsky in Centre Pompidou in Paris, France.