Department of Mathematics, Faculty of Science, University of Split, Croatia
Phone: +385 21 619 251 , Location: room B3-09, Ruđera Boškovića 33, Split
Personal web page: http://mapmf.pmfst.unist.hr/~borka/ , E-mail: borka@pmfst.hr
Znanstveno područje: Prirodne znanosti , Znanstveno polje: Matematika

Scientific interest

• Number Theory
• Cryptography

Memberships

• Croatian Mathematical Society
• Split Mathematical Society
• Seminar on Number Theory and Algebra, University of Zagreb

Scientific training and study visits

∙ Institute of Analysis and Number Theory, Graz University of Technology, Austria (4)
∙ Institute of Matehmatics, University of Debrecen, Hungary; (2)
∙ Institute for Advanced Mathematical Research, University of Strasbourg, France. (2)

Education

• PhD in Mathematics 2001, University of Zagreb, Croatia
• MSc in Mathematics 1997, University of Zagreb, Croatia
• BSc in Mathematics and Physics 1988, University of Zagreb, Croatia

Work experience

• 2009. – Associate Professor, Faculty of Science, University of Split;
• 2006. – 2009. Assistant Professor, Faculty of Science, University of Split
• 2003. – 2006., Assistant Professor, FESB, University of Split
• 2002. – 2003., Senior Research Assistant, FESB, University of Split
• 1989. – 2002., Teaching Assistant, FESB, University of Split
• 1988. – 1989., Teaching Fellow, FESB, University of Split

Research grants

∙ 2002. – 2006. Member of scientific project supported by the Croatian Ministry of Science, Education and Sport: Diofantske jednadžbe (0037110). (Principal investigator: A. Dujella);
∙ 2005. – 2006. Member of joint Croatian-Austrian project: Algorithmic solution of Diophantine equations and applications to cryptography. (Leaders: A. Dujella and R. Tichy) ;
∙ 2005. – 2007. Member of joint Croatian-Hungarian project: Investigations in number theory and cryptography. (Leaders: A. Dujella and A. Petho);
∙ 2006. – 2007. Member of joint Croatian-Austrian project: Algorithmic solution of Diophantine equations and applications to cryptography II. (Leaders: A. Dujella and R. Tichy);
∙ 2007. – 2013. Member of scientific project supported by the Croatian Ministry of Science, Education and Sport: Diofantske jednadžbe i eliptičke krivulje (037-0372781-2821). (Leader: A. Dujella);
∙ 2008. – 2009. Member of joint Croatian-Austrian project: Diophantine equations and additive representations. (Leaders: A. Dujella and R. Tichy);
∙ 2009.- 2010. Member of joint Croatian-French project: Diophantine approximations. (Leaders: A. Dujella i Y. Bugeaud);
∙ 2009.- 2010. Member of joint Croatian-Hungarian project: Number theory and cryptography. (Leaders: A. Dujella and A. Petho);
∙ 2010.-2011. Member of joint Croatian-Austrian project: Arithmetic-combinatorial problems and applications. (Leaders: A. Dujella and R. Tichy);
∙ 2013-2014. Member of joint Croatian-French project: Polynomial root separation. (Leaders: A. Dujella and Y. Bugeaud);
∙ 2014. – 2018. Member of scientific project supported by the Croatian Science Foundation: Diophantine m-tuples, elliptic curves, Thue and index form equations (no. 6422). (Leader: A. Dujella).

Professional Duties

• 2017. – Managing editor of the journals Acta mathematica Spalatensia i Acta mathematica Spalatensia. Series didactica
• 2015. – Leader of Scientific department of Split Mathematical Society
• 2010. – 2012. Head of Department of Mathematics, Faculty of Science, University of Split
• 2002. – 2009. Secretary of the Split Mathematical Society
• Member of the Organizing Committee of Workshop on Number Theory and Algebra (on the occasion of 60th birthday of Ivica Gusić), Zagreb (2014);

Matični broj znanstvenika : 164842
ReasercherID : D-6972-2017
GoogleScholar
Hrvatska znanstvena bibliografija

Projects

• 2002. – 2006. Znanstveni projekt MZOŠ RH: Diofantske jednadžbe (0037110). (Glavni istraživač: A. Dujella) – suradnica;
• 2005. – 2006. Hrvatsko – austrijski projekt: Algorithmic solution of Diophantine equations and applications to cryptography. (Voditelji: A. Dujella i R. Tichy) – suradnica
• 2005. – 2007. Hrvatsko – mađarski projekt: Investigations in number theory and cryptography. (Voditelji: A. Dujella i A. Petho)- suradnica
• 2006. – 2007. Hrvatsko – austrijski projekt: Algorithmic solution of Diophantine equations and applications to cryptography II. (Voditelji: A. Dujella i R. Tichy) – suradnica
• 2007. – 2013. Znanstveni projekt MZOŠ RH: Diofantske jednadžbe i eliptičke krivulje (037-0372781-2821). (Glavni istraživač: A. Dujella)- suradnica
• 2008. – 2009. Hrvatsko – austrijski projekt: Diophantine equations and additive representations. (Voditelji: A. Dujella i R. Tichy)- suradnica
• 2009.- 2010. Hrvatsko – francuski projekt: Diophantine approximations. (Voditelji: A. Dujella i Y. Bugeaud) – suradnica
• 2009.- 2010. Hrvatsko – mađarski projekt: Number theory and cryptography. (Voditelji: A. Dujella i A. Petho) – suradnica
• 2010. -2011. Hrvatsko – austrijski projekt: Arithmetic-combinatorial problems and applications. (Voditelji: A. Dujella i R. Tichy) – suradnica
• 2013. -2014. Hrvatsko – francuski projekt: Polynomial root separation. (Voditelji: A. Dujella i Y. Bugeaud) – suradnica
• 2014. – 2018. Znanstveni projekt Hrvatske zaklade za znanost: Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (IP-2013-11-6422). (Glavni istraživač: A. Dujella) – suradnica

Invited lectures

• Lectures on conferences – contributed talks (14), poster (1)
• Invited lectures – other than on conferences (5)
• Popular Lectures (3)

Reviewer

• Acta Scientiarum Mathematicarum
• Analele Stiintifice ale Universitatii “Alexandru Ioan Cuza” din Iasi – Matematica
• Glasnik Matematički
  Journal of Combinatorics and Number Theory
• Mathematical Communications
• Quaestiones Mathematicae
• Rad HAZU, Matematičke znanosti

Undergraduate

• Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split: Mathematical Analysis 1, Mathematical Analysis 2, Linear algebra, Mathematics 1, Mathematics 2, Mathematics 3, Discrete Mathematics, Primijenjena matematika
• Faculty of Science, University of Split: Linear algebra, Introduction to Number Theory, Differential and Integral Calculus 2, Introduction to Algebra with Analytic Geometry
• Faculty of Science and Education, University of Mostar: Mathematical Analysis 1, Mathematical Analysis 2
• Faculty of Mechanical Engineering and Computing, University of Mostar: Mathematical Analysis 1, Mathematical Analysis 2, Mathematics 1, Mathematics 2

Graduate

• Faculty of Science, University of Split: Diophantine Equations, Cryptography, Algebraic Number Theory, Mathematical Fundamentals of Cryptography

Postgraduate

• Postgraduate Study of Electrical Engineering and Information Technology, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split: Cryptography.

Mentor

Undergraduate thesis

• Suzana Antunović, p-adski brojevi, PMF-Split, (2008.)
• Anto Marijanović, Kvadratna proširenja, PMF-Split, (2008.)
• Ružica Znaor, Distribucija prostih brojeva, PMF-Split, (2009.)
• Josipa Maretić; Distribucija kvadratnih ostataka, PMF-Split, (2009.)
• Fani Rožić, Kombinatorne metode i primjena računala u teoriji brojeva, PMF-Split
• Katica Tot, Aritmetičke funkcije, PMF-Split, (2009.)
• Mirjana Knez, Sume kvadrata, PMF-Split, (2010.)
• Ivona Rogošić, Najljepši teoremi o Fermatovim brojevima, PMF-Split, (2011.)
• Tončica Gašpar, Neke nelinearne diofantske jednadžbe, PMF-Split, (2012.)
• Ivana Ujević, Primitivni korijeni, PMF-Split, (2012.)
• Nada Ćurić, Polinomi nad poljem, PMF-Split, (2013.)
• Bože Markovina, Algebarski i transcedentni brojevi, PMF-Split, (2013.);
• Veselko Kelava, Optimizacija pomoću teorije grafova, FRS-Mostar, (2014.)
• Sanja Juras, Osnovni teorem aritmetike za neka kvadratna polja, PMF-Split, (2015.)
• Toni Boban, Fareyevi nizovi i teorem Minkowskog, PMF-Split, (2015.)
• Marija Selak, Nizovi cijelih brojeva, PMF-Split, (2015.)
• Marta Krvavica, Tri kongruencije od teorijske i praktične važnosti, PMF-Split, (2015.)
• Marina Simić, Bertrandov postulat, PMF-Split, (2016.)

Graduate thesis

• Lea Dujić, Binarne kvadratne forme, PMF-Split, (2010.)
• Marina Šarac, Dirichletov teorem o jedinicama, PMF-Split, (2012.)
• Katica Tot, Kongruencije, PMF-Split, (2012.)
• Branka Domić, Metode faktorizacije u kriptografiji javnog ključa, PMF-Split, (2012.)
• Dejana Franjičić, Aproksimacija realnih brojeva racionalnima, (2015.)
• Ana Marjanović, Verižni razlomci, PMF-Split, (2015.)
• Jelena Vuković, Fermatovi brojevi, PMF-Split, (2016.)
• Iva Leko, Generatori pseudoslučajnih brojeva, PMF-Split, (2016.)
• Toni Boban, Eliptičke krivulje i njihova primjena u kriptografiji, PMF-Split, (2017.)
• Sanja Strpić, Problemi s aritmetičkim funkcijama na matematičkim natjecanjima, PMF-Split, (2017.)