Borka JadrijevićFull Professor
    GENERAL

    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);
    SCIENTIFIC ACTIVITY

    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

    COURSES

    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.)

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