{"id":7173,"date":"2021-03-09T10:10:12","date_gmt":"2021-03-09T10:10:12","guid":{"rendered":"https:\/\/math.uniri.hr\/?page_id=7173"},"modified":"2026-03-06T09:10:13","modified_gmt":"2026-03-06T09:10:13","slug":"division-of-algebra-and-number-theory","status":"publish","type":"page","link":"https:\/\/math.uniri.hr\/en\/about\/organization\/division-of-algebra-and-number-theory\/","title":{"rendered":"Division of Algebra and Number Theory"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Chair:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Assoc. Prof.&nbsp; Ana Jurasi\u0107<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Members:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prof. Predrag Dominis Prester<\/li>\n\n\n\n<li>Assoc. Prof.&nbsp;&nbsp;Tajana Ban Kirigin<\/li>\n\n\n\n<li>Assoc. Prof.&nbsp; Sanda Buja\u010di\u0107 Babi\u0107<\/li>\n\n\n\n<li>Assoc. Prof.&nbsp; Marijana Butorac<\/li>\n\n\n\n<li>Assoc. Prof.&nbsp; Ana Jurasi\u0107<\/li>\n\n\n\n<li>Assoc. Prof.&nbsp; Vera Toni\u0107<\/li>\n\n\n\n<li>Assist. Prof.&nbsp; Nevena Jur\u010devi\u0107 Pe\u010dek<\/li>\n<\/ul>\n\n\n\n<p>Division of Algebra and Number Theory was founded in late 2010 by dividing up the former Division of Algebra and Discrete Mathematics. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Science<\/h2>\n\n\n\n<p>The scientific activity of the Division members is in the areas of algebra, number theory, mathematical analysis, geometry and topology, computer science, and theoretical physics of elementary particles. In particular, the Division members&#8217; area of research interests includes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Langlands program, automorphic forms<\/li>\n\n\n\n<li>Representation theory<\/li>\n\n\n\n<li>Affine Lie algebras and vertex operator algebras<\/li>\n\n\n\n<li>Diophantine equations and polynomial variants of the problem of Diophantus<\/li>\n\n\n\n<li>Dimension theories, resolution theorems<\/li>\n\n\n\n<li>Geometric group theory<\/li>\n\n\n\n<li>Formal models of collaboration systems, analysis of the security protocols<\/li>\n\n\n\n<li>Quantum field theory, <\/li>\n\n\n\n<li>Classical and quantum gravity and theories of unification of forces.<\/li>\n<\/ul>\n\n\n\n<p><br>Members of the Division actively participate in the international scientific community by collaborating with scientists from different countries, participating and presenting at international scientific conferences and seminars, visiting prestigious international institutions, lecturing at foreign doctoral studies and doctoral and postdoctoral summer schools, reviewing books and articles for relevant mathematical literature databases, evaluating articles submitted for publication in international journals, and evaluating doctoral dissertations at prestigious international institutions.<\/p>\n\n\n\n<p>Members of the Division participate in the implementation of the Croatian Doctoral Program in Mathematics (joint program of J.J. Strossmayer University of Osijek, University of Rijeka, University of Split, University of Zagreb).<br><br>Marijana Butorac is a member of the mathematical research unit\u00a0the Scientific Center of Excellence for Quantum and Complex Systems, and Representations of Lie Algebras\u00a0&#8211;\u00a0<a href=\"https:\/\/www.pmf.unizg.hr\/math\/ured_za_projekte\/eu_projekti\/quantixlie\">QuantiXLie<\/a>, led by Prof. Hrvoje Buljan and Prof. Pavle Pand\u017ei\u0107.<\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-db552540-af1c-41b5-bc86-7efd2ffee749\" data-mobilecollapse=\"false\" data-desktopcollapse=\"true\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-503681a1-0a61-4081-89dd-8592db91e511\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-db552540-af1c-41b5-bc86-7efd2ffee749\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-db552540-af1c-41b5-bc86-7efd2ffee749\" style=\"color: #000000; \">Active Research Projects<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-db552540-af1c-41b5-bc86-7efd2ffee749\">\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.croris.hr\/projekti\/projekt\/15940\">Afine Liejeve algebre i kvantne grupe<\/a>, HRZZ project (project leader: Assoc. Prof. Marijana Butorac) (31.12.2025. &#8211; 30.12.2028.)<\/li>\n\n\n\n<li><a href=\"https:\/\/portal.uniri.hr\/ProjektiPU2025\/Details\/0120?up=true\">Matemati\u010dko modeliranje u umjetnoj inteligenciji<\/a> (project leader: Assoc. Prof. Sanda Buja\u010di\u0107 Babi\u0107) (01.10.2025. &#8211; 01.10.2029.)<\/li>\n\n\n\n<li><a href=\"https:\/\/portal.uniri.hr\/ProjektiPU2025\/Details\/099?up=true\">Posebni problemi u algebarskim strukturama u teoriji brojeva i topologiji<\/a> (project leader: Assoc. Prof. Ana Jurasi\u0107) (01.10.2025. &#8211; 01.10.2029.)<\/li>\n\n\n\n<li><a href=\"https:\/\/portal.uniri.hr\/ProjektiPU2025\/Details\/0359?up=true\">Kvantna teorija polja, gravitacija i ujedinjenje sila<\/a> (project leader: Prof. Predrag Dominis Prester, uniri-iz-25-237) (01.10.2025. &#8211; 01.10.2029.)<\/li>\n\n\n\n<li><a href=\"https:\/\/www.croris.hr\/projekti\/projekt\/12007\">Formalni sistemi i modeliranje<\/a> (FORMALS-2) (project leader: izv. prof. dr. sc. Tin Perkov) za razdoblje 2024. &#8211; 2027.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.croris.hr\/projekti\/projekt\/10174\">Teorija brojeva i aritmeti\u010dka geometrija<\/a> (project leader: prof. dr. sc. Filip Najman) (2023. &#8211; 2027.)<\/li>\n\n\n\n<li><a href=\"https:\/\/www.cost.eu\/actions\/CA22113\/\">Fundamental challenges in theoretical physics<\/a> (Predrag Dominis Prester is a member of Board of Directors), EU COST-action project CA22113 (2023.-2027.)<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-1d2d0bce-1f3a-4c9a-a605-0af3a6242fe4\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-1-db552540-af1c-41b5-bc86-7efd2ffee749\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-db552540-af1c-41b5-bc86-7efd2ffee749\" style=\"color: #000000; \">Finished Research Projects<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-db552540-af1c-41b5-bc86-7efd2ffee749\">\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sanda.bujacic-babic.com\/index.php\/uniri-projekti-iskusnih-znanstvenika-2023-matematicko-modeliranje-u-obradi-prirodnog-jezika\/\">Matemati\u010dko modeliranje u obradi prirodnog jezika<\/a> (project leader: Assoc. Prof. Sanda Buja\u010di\u0107 Babi\u0107, uniri-iskusni-prirod-23-150), 2023. &#8211; 2025.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.math.uniri.hr\/~tin.zrinski\/alg_strukture.html\">Algebarske strukture i njihove primjene u teoriji brojeva i topologiji<\/a> (project leader: Assoc. Prof. Ana Jurasi\u0107, uniri-iskusni-prirod-23-66), 2023. &#8211; 2025.<\/li>\n\n\n\n<li>Kvantna teorija polja, gravitacija i teorije vi\u0161ih spinova (project leader: Prof. Predrag Dominis Prester, uniri-iskusni-prirod-23-222), 2023. &#8211; 2025.<\/li>\n\n\n\n<li><a href=\"http:\/\/web.math.pmf.unizg.hr\/~gmuic\/hrzz9364.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Automorfne forme, reprezentacije i primjene<\/a>\u00a0(project leader: Prof. Goran Mui\u0107),<br>Croatian Science Foundation research project no 9364, 2014. &#8211; 2018.<\/li>\n\n\n\n<li><a href=\"http:\/\/web.math.pmf.unizg.hr\/~adamovic\/acmvat.html\" target=\"_blank\" rel=\"noreferrer noopener\">Algebarske i kombinatorne metode u teoriji verteks algebri<\/a>\u00a0(project leader: Prof. Dra\u017een Adamovi\u0107),<br>Croatian Science Foundation research project 2634, 2014. &#8211; 2018.<\/li>\n\n\n\n<li><a href=\"http:\/\/web.math.pmf.unizg.hr\/~duje\/hrzz6422.html\" target=\"_blank\" rel=\"noreferrer noopener\">Diofantske\u00a0<em>m<\/em>-torke, elipti\u010dke krivulje, Thueove i jednad\u017ebe indeksnog oblika<\/a>\u00a0(project leader: Prof. Andrej Dujella), Croatian Science Foundation research project 6422, 2014. &#8211; 2018.<\/li>\n\n\n\n<li>Cyber Protocols in the Physical Environment (project leader A. Scedrov), Office of Naval Research (ONR), USA, 2015. &#8211; 2018.<\/li>\n\n\n\n<li>Foundations of geometric approximate group theory, (project leader: Tobias Hantrick, KIT Karlsruhe, Germany) , 2017. &#8211; 2023.<\/li>\n\n\n\n<li><a href=\"https:\/\/pdb.irb.hr\/project\/irb:004044\" target=\"_blank\" rel=\"noreferrer noopener\">Formalno rasu\u0111ivanje i semantike (FORMALS)<\/a>,\u00a0UIP-05-2017-9219, project leader: Tin Perkov, Croatian Science Foundation research project, 2017. &#8211; 2022.<\/li>\n\n\n\n<li><a href=\"http:\/\/www.hrzz.hr\/default.aspx?id=78&amp;pid=7337&amp;rok=2018-01\" target=\"_blank\" rel=\"noreferrer noopener\">Diofantska geometrija i primjene<\/a>, project leader: Matija Kazalicki, Croatian Science Foundation research project, 2018. &#8211; 2022.<\/li>\n\n\n\n<li><a href=\"http:\/\/langnet.uniri.hr\/projects.html\" target=\"_blank\" rel=\"noreferrer noopener\">Izlu\u010divanje klju\u010dnih rije\u010di i sa\u017eimanje tekstova na temelju reprezentacije u mre\u017eama jezika &#8211; LangNet<\/a>,\u00a0project leader: Prof. Sanda Martin\u010di\u0107-Ip\u0161i\u0107, UNIRI Research Project, 2019. &#8211; 2021.<\/li>\n\n\n\n<li>Jezi\u010dno izra\u017eavanje emocija: Ra\u010dunalni resusi, metode identifikacije i ontolo\u0161ko modeliranje komunikacije psiholo\u0161kih stanja (<a href=\"http:\/\/emocnet.uniri.hr\/\" target=\"_blank\" rel=\"noreferrer noopener\">EmoCNet<\/a>), project leader: Assoc. Prof. Benedikt Perak, UNIRI Research Project, 2019. &#8211; 2021.<\/li>\n\n\n\n<li><a href=\"https:\/\/portal.uniri.hr\/Projekti\/Details\/01425\">Kvantna teorija polja, gravitacija i unifikacija sila<\/a>, project leader: Prof. Predrag Dominis Prester, UNIRI Research Project, uniri-prirod-18-256, 2019. &#8211; 2023.<\/li>\n\n\n\n<li>Security for resource limited networked Cyber-physical systems, ONR, USA, 2020. &#8211; 2023.<\/li>\n\n\n\n<li>Quantum Current Algebras and Their Representation Theory, project leader: Assoc. Prof. Slaven Ko\u017ei\u0107, Croatian Science Foundation installation research project UIP-2019-04-8488, 2020. &#8211; 2024.<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-df8a0249-f33e-4ddb-a5ab-e78b21e24d23\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-2-db552540-af1c-41b5-bc86-7efd2ffee749\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-db552540-af1c-41b5-bc86-7efd2ffee749\" style=\"color: #000000; \">Selected Research Papers<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-db552540-af1c-41b5-bc86-7efd2ffee749\">\n\n<ul class=\"wp-block-list\">\n<li>Ban Kirigin, T.; Buja\u010di\u0107 Babi\u0107, S.\u00a0Semi-Local Integration Measure for Directed Graphs, <em>Mathematics\u00a0<\/em>(2024),\u00a0<em>12<\/em>, 1087, doi:10.3390\/math12071087,<\/li>\n\n\n\n<li>Alturki, Musab A.; Ban Kirigin, Tajana; Kanovich, Max; Nigam, Vivek; Scedrov, Andre; Talcott, Carolyn On the Formalization and Computational Complexity of Resilience Problems for Cyber-Physical Systems \/\/ Lecture notes in computer science, 2022. str. 96-113. doi: 10.1007\/978-3-031-17715-6_8,<\/li>\n\n\n\n<li>Ban Kirigin, Tajana; Buja\u010di\u0107 Babi\u0107, Sanda; Perak, Benedikt Lexical Sense Labeling and Sentiment Potential Analysis using Corpus-Based Dependency Graph<em>, Mathematics,<\/em><strong> 9<\/strong>\u00a0(2021), 12; 1449, 22, doi:10.3390\/math9121449,<\/li>\n\n\n\n<li>Urquiza, Abra\u00e3o Aires; Alturki, Musab A.; Kanovich, Max; Ban Kirigin, Tajana; Nigam, Vivek; Scedrov, Andre; Talcott, Carolyn Resource and Timing Aspects of Security Protocols \/\/ Journal of computer security, 29 (2021), 3; 299-340. doi: 10.3233\/JCS-200012<\/li>\n\n\n\n<li>M. Kanovich, T. Ban Kirigin, V. Nigam, A. Scedrov, C. Talcott, R. Perovic, A rewriting framework and logic for activities subject to regulations. Mathematical structures in computer science 27(3) (2017) 332-375.<\/li>\n\n\n\n<li>M. Kanovich, T. Ban Kirigin, V. Nigam, A. Scedrov, and C. Talcott, Time, Computational Complexity, and Probability in the Analysis of Distance-Bounding Protocols, Journal of Computer Security, 25(6): 585-630, 2017.<\/li>\n\n\n\n<li>Bliznac Trebje\u0161anin, M. and Buja\u010di\u0107 Babi\u0107, S.,\u00a0Polynomial\u00a0(4)-quadruples over Gaussian integers, Glasnik Matemati\u010dki, Vol. 59, No. 1 (2024), 1-31, doi.org:10.3336\/gm.59.1.01<\/li>\n\n\n\n<li>L. Bonora ; M. Cvitan ; P. Dominis Prester ; S. Giaccari ; M. Pauli\u0161i\u0107, Axial gravity: a non-perturbative approach to split anomalies, Eur. Phys. J.C 78 (2018) 8, 652. doi:\u00a0\u00a0\u00a0\u00a0 10.1140\/epjc\/s10052-018-6141-1<\/li>\n\n\n\n<li>L. Bonora ; M. Cvitan ; P. Dominis Prester ; S. Giaccari ; M. Pauli\u0161i\u0107, Worldline quantization of field theory, effective actions and L_infty\u200b structure, JHEP 2018 (2018) 095. <\/li>\n\n\n\n<li>L. Bonora ; M. Cvitan ; P. Dominis Prester ;\u00a0 A. Duarte Pereira ; S. Giaccari, Axial gravity, massless fermions and trace anomalies, Eur. Phys .J. C\u00a0 77 (2017) 8, 511.<\/li>\n\n\n\n<li>Buja\u010di\u0107 Babi\u0107, Sanda; Nabardi, Kamran, On Some Diophantine Equations, Miskolc Mathematical Notes, 22 (2021), 1; 65-75<\/li>\n\n\n\n<li>M. Butorac, C. Sadowski, Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type A<sub>2l-1<\/sub>, D<sub>l<\/sub><sup>(2)<\/sup>, E<sub>6<\/sub><sup>(2)<\/sup>, and D<sub>4<\/sub><sup>(3)<\/sup>, New York J. Math. 25 (2019) 71-106.<\/li>\n\n\n\n<li>M. Butorac, N. Jing, S. Ko\u017ei\u0107, h-adic quantum vertex algebras associated with rational R-matrix in types B, C and D, Lett. Math. Phys. 109 (2019), 2439-2471.<\/li>\n\n\n\n<li>M. Butorac, Quasi-particle bases of principal subspaces for the affine Lie algebra of type G<sub>2<\/sub><sup>(1)<\/sup>, Glas. Mat. Ser. III 52 (2017), 79-98.<\/li>\n\n\n\n<li>M. Cvitan ; P. Dominis Prester ; S. Giaccari ; M. Pauli\u0161i\u0107 ; I, Vukovi\u0107, Gauging the higher-spin-like symmetries by the Moyal product, JHEP 2021 (2021) 144.<\/li>\n\n\n\n<li>Matthew Cordes, Tobias Hartnick, Vera Toni\u0107,\u00a0<em>Foundations of geometric approximate group theory<\/em>, 2024. prihva\u0107eno za objavljivanje u Memoirs of the American Mathematical Society<\/li>\n\n\n\n<li>A. Filipin, A. Jurasi\u0107, On the existence of D(-3)-quadruples in Z[X], Glasnik matemati\u010dki, 57(77) (2022), 203-219.<\/li>\n\n\n\n<li>A. Filipin, A. Jurasi\u0107, A polynomial variant of a problem of Diophantus and its consequences, Glasnik matemati\u010dki, 54 (2019), 1; 21-52.<\/li>\n\n\n\n<li>C. Fuchs, A. Jurasi\u0107, R. Paulin, Elementary resolution of a family of quartic Thue equations over function fields, Monatsh. Math., 180 (2016), 2; 205-211.<\/li>\n\n\n\n<li>N. Grbac, N. Jur\u010devi\u0107 Pe\u010dek, Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields,\u00a0Mathematical communications,\u00a023\u00a0(2018), 2; 181-196.<\/li>\n\n\n\n<li>Tobias Hartnick, Vera Toni\u0107,\u00a0<em>Hurewicz and Dranishnikov-Smith theorems for asymptotic dimension of countable approximate groups,\u00a0<\/em>Topology and its Appls.\u00a0349 (2024),<\/li>\n\n\n\n<li>Vera Toni\u0107,\u00a0<em>A Hurewicz-type formula for asymptotic-dimension-lowering symmetric quasimorphisms of countable approximate groups,<\/em> Rad HAZU, Matemati\u010dke znanosti, Vol. 29 (2025), 283-297.<\/li>\n\n\n\n<li>Vera Toni\u0107, <em>A Hurewicz-type theorem for quasimorphisms of countable approximate groups<\/em>, Topology and its Applications, Volume 381 (2026), paper no. 109744.<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-cb27552f-ede2-4927-9313-dec371724d9f\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-3-db552540-af1c-41b5-bc86-7efd2ffee749\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-db552540-af1c-41b5-bc86-7efd2ffee749\" style=\"color: #000000; \">Research Class<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-db552540-af1c-41b5-bc86-7efd2ffee749\">\n\n<p>Members of the Division participate in the organisation and delivery of research seminars within the Research Class of the Division of Algebra and Number Theory at the Faculty of Mathematics. Within the framework of the Research Class seminars, invited speakers and members of the Division present their current research results, as well as other relevant topics in the field.<\/p>\n\n\n\n<p>Given the breadth and diversity of the research interests pursued by members of the Division, these lectures and discussions foster the exchange of ideas and encourage potential research collaboration both within the Division and more broadly.<\/p>\n\n\n\n<p>The initiative to establish this research activity was formally proposed at the Division meeting held on 17 February 2020. Owing to circumstances related to the COVID-19 pandemic, the first Research Class seminar was held on 16 March 2022.<\/p>\n\n\n\n<p><strong>Research Class Chair<\/strong>: Assoc. Prof. Sanda Buja\u010di\u0107 Babi\u0107<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Seminars:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>25.03.2022. Tajana Ban Kirigin, Sanda Buja\u010di\u0107 Babi\u0107, Benedikt Perak: Multidisciplinarni pristup u digitalnoj lingvistici<\/li>\n\n\n\n<li>29.04.2022. Marijana Butorac, Slaven Ko\u017ei\u0107: Glavni potprostori kvantne afine verteks-algebre tipa A1(1)<\/li>\n\n\n\n<li>27.05.2022. Zvonimir \u0160iki\u0107: Matematika i slikarstvo<\/li>\n\n\n\n<li>28.10.2022. Sanda Buja\u010di\u0107 Babi\u0107: O regularnosti D(4)-\u010detvorki iz Z[i][X]<\/li>\n\n\n\n<li>09.12.2022. Vera Toni\u0107: Asimptoti\u010dka dimenzija i primjena na geometrijsku teoriju aproksimativnih grupa, part one<\/li>\n\n\n\n<li>20.01.2023. Vera Toni\u0107: Asimptoti\u010dka dimenzija i primjena na geometrijsku teoriju aproksimativnih grupa, part two<\/li>\n\n\n\n<li>10.03.2023. Ana Jurasi\u0107: Polinomne varijante Diofantova problema<\/li>\n\n\n\n<li>01.12.2023. Predrag Dominis Prester: Matematika\u00a0Standardnog modela\u00a0i\u00a0izvan njega<\/li>\n\n\n\n<li>09.02.2024. Daniel Leoni: Skok u ocean podataka (iOlap)<\/li>\n\n\n\n<li>08.04.2024. Leonard R. Rubin: What is the dimension of space?<\/li>\n\n\n\n<li>24.05.2024. Zvonimir \u0160iki\u0107: Wignerov problem i realni brojevi<\/li>\n\n\n\n<li>07.06.2024. Vera Toni\u0107: Teoremi Hurewiczevog tipa \u2013 od op\u0107e topologije do aproksimativnih grupa<\/li>\n\n\n\n<li>11.06.2025. Moshe Cohen: Randomness in Topology<\/li>\n\n\n\n<li>12.06.2025. Tin Adle\u0161i\u0107: Zermelova aksiomatizacija teorije skupova<\/li>\n\n\n\n<li>07.11.2025. Dijana Ili\u0161evi\u0107: Od izometrija do izomorfizama<\/li>\n\n\n\n<li>10.-11.11.2025. Zvonimir \u0160iki\u0107: O brojevima &#8211; kona\u010dnim i beskona\u010dnim (series of lectures)<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<p>It is worth highlighting that a member of the Division, Sanda Buja\u010di\u0107 Babi\u0107, is a co-author of the book&nbsp;Diophantine Analysis (together with Alan Filipin, Simon Kristensen, Tapani Matala-aho, and Nicola M.R. Oswald), published in 2016 by the prestigious publisher Springer.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Teaching<\/h2>\n\n\n\n<p>The Division of Algebra and Number Theory is involved in the organisation and delivery of all degree programmes offered by the Faculty of Mathematics, as well as in providing mathematics instruction for selected programmes delivered by other constituent units of the&nbsp;University of Rijeka.<\/p>\n\n\n\n<p>Members of the Division have designed and developed a number of courses within these programmes and work collaboratively with colleagues across the Faculty on the continuous development and implementation of individual courses, with the aim of enhancing programme quality and strengthening coherence across the curriculum. In addition to courses in algebra and number theory, this includes courses in other areas of mathematics that are, to varying degrees, relevant to number theory.<\/p>\n\n\n\n<p>A member of the Division, Prof. Predrag Dominis Prester, serves as the course coordinator for the doctoral-level course <em>Black Hole Physics<\/em>&nbsp;within the PhD programme in Physics.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Public Engagement and Professional Activities<\/h2>\n\n\n\n<p>Members of the Division are authors and lecturers of numerous outreach lectures and workshops designed for primary and secondary school students, with the aim of promoting mathematics and mathematics studies. They also actively contribute to the work of professional and alumni associations, including the Society of Mathematicians and Physicists, the MatRi Alumni Club, and the&nbsp;Croatian Mathematical Society.<\/p>\n\n\n\n<p>Division members regularly participate in public lectures and workshops as part of major outreach events in\u00a0Rijeka and beyond, such as the Science Festival, the Evening of Mathematics, and the Open Days of the Faculty of Mathematics.<\/p>\n\n\n\n<p>In 2017, at the Rijeka Mathematical Meetings under the theme&nbsp;<em>The Deepest Secrets of Mathematics<\/em>, lectures and workshops were delivered by members of the Division.<\/p>\n\n\n\n<p>In 2025, at the Rijeka Mathematical Meetings under the theme&nbsp;<em><a href=\"https:\/\/math.uniri.hr\/odrzan-skup-rijecki-matematicki-susreti-2025\/\">Mathematics Around Us<\/a><\/em>, lectures and workshops were likewise delivered by members of the Division.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chair: Members: Division of Algebra and Number Theory was founded in late 2010 by dividing up the former Division of Algebra and Discrete Mathematics. Science The scientific activity of the Division members is in the areas of algebra, number theory, mathematical analysis, geometry and topology, computer science, and theoretical physics of elementary particles. In particular, [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":7172,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"ub_ctt_via":"","footnotes":""},"class_list":["post-7173","page","type-page","status-publish","hentry"],"acf":[],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7173","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/comments?post=7173"}],"version-history":[{"count":11,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7173\/revisions"}],"predecessor-version":[{"id":7562,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7173\/revisions\/7562"}],"up":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7172"}],"wp:attachment":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/media?parent=7173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}