Romeo Meštrović Professor of Mathematics

CURRICULUM VITAE Personal Information Date of birth: April 28, 1960 Place of birth: Split, Croatia Citizenship: Montenegro

Current Addresses Office Maritime Faculty Department of Mathematics University of Montenegro Dobrota 36, Kotor Montenegro Telephone: +382 32303188 Fax: +382 32303184 e-mail: [email protected] web page: http://sites.google.com/site/romeomestrovic/

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Education Romeo Meštrović, Professor of Mathematics at the Maritime Faculty, University of Montenegro, was born in Split 1960, Croatia. He graduated B.Sc. in Mathematics (Department of Mathematics - Division Algebra and Analysis) in Zagreb, University of Zagreb, Croatia. Romeo Meštrović received his M.Sc. in Mathematics (Complex Analysis and Functional Analysis) in 1996 under the title: On some F-algebras of holomorphic functions and his Ph.D. in Mathematics (Complex Analysis and Functional Analysis) in 1999 under the title: Topological and F-algebras of holomorphic functions at Faculty of Science, Division Mathematical and Computational Sciences, University of Montenegro. As a member of high school team of the former state Yugoslavia, in 1979 he was awarded a third prize in the XXI International Mathematical Olympiad in London. Moreover, he was awarded two first place in Mathematical Olympiads of the former state Yugoslavia in 1978 and 1979.

Working Experience 1988-1991, Maritime Faculty, University of Montenegro, Teaching Assistant. 1991-1999, Maritime Faculty, University of Montenegro, Teacher. 1999-2004, Maritime Faculty, University of Montenegro, Assistant Professor. 2001-2002, Department of Mathematics, Faculty of Science, Podgorica, part-time. 2005-2010, Maritime Faculty, University of Montenegro, Associate Professor. 2010- , Maritime Faculty, University of Montenegro, Full Professor.

Research Interests His main research interests are related to Complex analysis of one variables and Functional analysis. This topics mainly concerned with the investigations of linear topological and functional structure of the Privalov spaces on the unit disk of the complex plane. By studying the linear space structure of these spases and their extensions, he obtained many interesting results with applications. In this topics, he published about twenty papers in rewieved mathematical journals. Recently, Romeo Meštrović deals with Combinatorial number theory, Elementary number theory and Combinatorics. In particular; this concerned with variations of Wolstenholme’s type theorems, Lucas’ type congruences modulo a prime, related combinatorial congruences modulo prime powers and primality criteria. In this topics, he published about thirty papers. Furthermore, his additional research areas are related to Queuing theory and Operations researches in transport and traffic operations. His papers have been published in many scientific journals as well as: Doklady Akademii Nauk (Russian), American Mathematical Monthly, Mathematics of Computation, International Journal of Number Theory, Portugaliae Mathematica, Ars Combinatoria, Acta Sci. Math. (Szeged), Journal of Mathematical Analysis and Applications, Journal of the Korean Mathematical Society, Journal of Inequalites and Applications, Bulletion of the Australian Mathematical Society, Rocky Mountain Journal of Mathematics etc. He was participated in numerous international and domestic conferences, symposiums, seminars and congresses related to the mentioned fields of research.

Awards and Honors Third prize (bronze medal) in the XXI International Mathematical Olympiad, London, United Kingdom, 1979. Former Yugoslav’s high school Mathematical Olympiads: ● Honorable mention, II grade, Titovo Velenje, Slovenia, 1977. ● First place, second prize, III grade, Bečići, Montenegro, 1978. ● First place, first prize, IV grade, Novi Sad, Serbia, 1979. Bosnian and Herzegovian Mathematics Competitions for high school students: ● Honorable mention, I grade, Sarajevo, 1976. ● First place, first prize, II grade, Livno, 1977. ● Second place, second prize, III grade, Mostar, 1978. ● First place, first prize, IV grade, Foča, 1979. Herzegovian (Regional) Mathematics Competitions for high school students: ● First places, first prizes, I-IV grade, Mostar, 1976-1979. Honorable mention in Balkan Graduate Mathematics Competition, Belgrade, Serbia, 1980. First prize on World Ocean Forum for the best paper in 2009.

Professional Service 1999-2001, Head of Department of Mathematics and Kibernetics. 2002-2004, Head of Department of Mathematics and Computer Sciences. 2002-2004 and 2008-2010, Head of of Graduate Studies Maritime Management at Maritime Faculty. 2001-2002, Member of a Committee for establishing New Plans and Programs of Graduate Studies of Maritime Management at Maritime Faculty. 1996, 2005 and 2006, Member of the Serbian and Montenegrin Organizing and Competition Committee of Mathematical Competition for high school students. 2003, 2004, 2005 and 2006, Competition Committee chair of 37th, 38th, 39th and 40th Republic Mathematics Competition for primary and high school students of Montenegro, Podgorica. 2003, 2004, 2005 and 2006, Member of Coordinating Committee for 37th, 38th, 39th and 40th Republic Competition in Natural Sciences, Languages and History for primary and high school students of Montenegro, Podgorica. 2007, Team Leader of Montenegro on 11th Junior Balkan Mathematical Olympiad, Shumen, Bulgaria (two Montenegrian contestants were awarded a bronze medal). 2008, Team Leader of Montenegro on 26th Balkan Mathematical Olympiad, Ohrid, Macedonia (one Montenegrian contestant was awarded silver medal). 2006-2008, was proposed problems for third grade of high school and estimated student’s solutions on Mathematical Competitions for primary and high school students of Montenegro, Podgorica, Montenegro. 2009-2015, was proposed problems for high school and estimated student’s solutions on Mathematical Competitions for primary and high school students of Montenegro, Podgorica, Montenegro. 2000-2007, Member of Editorial Board of Matematičko Računarski Mozaik, Journal for primary school Mathematics and Computation (published fourth times each year), Podgorica, Montenegro, UDK 51 ISSN 1450-9261. 2000-2007, Editor of Advanced Problems Section of Matematičko Računarski Mozaik, Journal for primary school Mathematics and Computation (published fourth times each year), Podgorica, Montenegro, UDK 51 ISSN 1450-9261. 2005- , Member of Forum of University Professors and Researchers of Montenegro. 2009- , Coordinator of Collaboration between Mathematicul Institute of Serbian Academy of Sciences and Arts at Belgrade and Maritime Faculty at Kotor. 2011, Team Leader of Montenegro on 15th Junior Balkan Mathematical Olympiad, Larnaca, Cyprus (one Montenegrian contestant was awarded a bronze medal). 2012, Team Leader of Montenegro on 30th Balkan Mathematical Olympiad, Antalya, Turkey 2012, Team Leader of Montenegro on 16th Junior Balkan Mathematical Olympiad, Veria, Greece (two Montenegrian contestants were awarded a bronze medal). 2012 - Reviewer for Zentralblatt MATH (registered under the number 13838) 2012 - Reviewer for Mathematical Reviews (registered under the number 89218) Referee for American Mathematical Monthly, Journal of Integer Sequences, Utilitas Mathematica, Science China Mathematics, International Journal of Number Theory, Math. Mont., Monashefte fur

Mathematik, Promet-Traffic & Transportation, Journal for Algebra and Number Theory Academia etc. 2013, Team Leader of Montenegro on 17th Junior Balkan Mathematical Olympiad, Antalya, Turkey (one Montenegrian contestant was awarded silver medal). 2014, Team Leader of Montenegro on 18th Junior Balkan Mathematical Olympiad, Ohrid, Republic of Macedonia (two Montenegrian contestants was awarded bronze medal). 2014, A member of Programme Commitee of V Congress of the Mathematicians of Macedonia, Ohrid, Macedonia, September 2014, available at http://www.cmm2014.ukim.edu.mk/

Courses

Maritime Faculty

Department of Mathematics, Faculty of Science, Podgorica

1988-1998, Exercises in numerous Mathematical Courses. 1991-1999, Mathematics I, Mathematics II. 1996- , Mathematics. 2001-2002, Numerical Analysis. 1999-2003, Probability and Statistics. 2004- , Probability and Statistics for Maritime Studies. 2008- , Mathematical Models of Transport. 2007- , Optimization Maritime Methods. 2009- , Risk Theory. 2007- , Numerous Courses on Postgraduate Studies and Doctoral Studies at Department of Marine Sciences and Department of Maritime Management of Maritime Faculty (related to Analysis, Probability Theory, Queueing Theory, Combinatorial Optimization etc.) 2001-2002, Complex Analysis.

Visiting Positions Department of Mathematical Analysis at Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Moscow, Russia: October, 1996 November, 1997 June, 1998 December, 1998 June, 2008 April, 2009

Visiting Lectures Department of Mathematical Analysis at Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University - Seminars under the guidance of Prof. Dr. V. Ivanovich Gavrilov October, 1996 November, 1997 June, 1998 June, 1998

Linear topological properties of the Privalov’s spaces of holomorphic functions in the unit disk. Interpolation in N p spaces. On the ideals structure in the algebras N p (1 < p < ∞) . Asymptotic versions of Szego’s and Helson-Szego’s theorem.

December, 1998

Approximative theorems for the classes N p (1 < p < ∞) .

December, 1998 June, 2008 April, 2009

Weakly dense ideals of the rings N p (1 < p < ∞) . Different Topologies on Privalov Spaces with Applications. Asymptotic analogues of Szego’s theorem and Helson-Szego’s theorem.

Mathematicul Institute of Serbian Academy of Sciences and Arts, Belgrade May, 2009, Combinatorial congruences modulo a prime.

Plenary and Invitation Papers Park, N.K., Dragović, B. and Meštrović, R., Simulation results by port and container yard type – Case study: Korean terminals, Plenary Paper, 7th International Conference “Research and development in Mechanical industry“, RaDMI 2007, Belgrade, Serbia, September 2007, Conference Proceedings on CD, pp. 625-630. Dragović, B., Park, N. K., Meštrović, R. and Radmilović, Z., Ports and terminals modeling: New approaches to investigation, Plenary and Invitation Paper, 8th International Conference “Research and development in Mechanical industry“, RaDMI 2008, Užice, Serbia, September 2008, Conference Proceedings on CD, pp. 19-36. Dragović, B., Park, N. K, Meštrović, R., Kim, J. Y. and Mihaljević, N., Modeling and optimization of container terminals operations, Plenary and Invitation Paper, 9th International Conference “Research and development in Mechanical industry“, RaDMI 2009, Vrnjačka Banja, Serbia, September 2009, Conference Proceedings, Vol. 1, pp. 28-41.

Selected Congresses and Conferences R. Meštrović, On some F-algebras of holomorphic functions, 9th Congress of Yugoslav Mathematicians, Petrovac, Montenegro, September 1995. R. Meštrović, Multipliers and linear functionals for the classes N q , International Kurepa’s Symposium, Belgrade, Serbia, May 1996, Book of abstracts, p. 69. R. Meštrović and Ž. Pavićević, The logarithmic version of Szego’s theorem, International Conference GF-96, Novi Sad, Serbia, August/September 1996, Appendix of Abstracts, p. 4. R. Meštrović, Interpolation theorems for the classes N p (1 < p < ∞) , 4th International Symposium on Mathematical Analysis and its Applications, Arandjelovac, Serbia, May 1997, Book of abstracts, p. 51. R. Meštrović, Topologies on some F-algebras of holomorphic functions, International Congress of Mathematicians, Berlin, Germany, August 1998, Book of abstracts, p. 141. R. Meštrović, Weakly dense ideals in some F-algebras of holomorphic functions, 3rd European Congress of Mathematics, Barcelona, Spain, August 2000, List of Posters, p. 133. R. Meštrović, Topologies on some generalized Orlicz spaces, 10th Congress of Yugoslav Mathematicians, Belgrade, Serbia, October 2000, Book of abstracts, p. 56.

R. Meštrović, Invariant subspaces of some spaces of holomorphic functions, 5th International Symposium on Mathematical Analysis and its Applications, Niška Banja, Serbia, October 2002, Book of abstracts, p. 17. R. Meštrović, Multipliers of a class of de Branges spaces, 11th Congress of Mathematicians of Serbia and Montenegro, Petrovac, Montenegro, September/October, 2004, Book of abstracts, pp. 36-37. R. Meštrović, B. Dragović, S. Simić and Z. Radmilović: An analysis of the berth and container cranes allocation in port, 4th International Congress on Maritime Technological Innovations and Research, Barcelona, Spain, 2004, pp. 417-428. R. Meštrović and Ž. Pavićević, Weak Outer Functions for Privalov Spaces of Holomorphic Functions on the Disk, International Conference: Extremal Problems in Complex and Real Analysis, Moscow, Russia, May 2007. R. Meštrović and Ž. Pavićević, Universal multipliers of a class of de Branges spaces, 5th European Congress of Mathematics, Amsterdam, Holland, July 2008, Poster Session, Poster number 08.18. www.5ecm2.nl R. Meštrović, A characterization of primes and prime powers, 12th Serbian Mathematical Congress, Novi Sad, Serbia, August/September 2008, Book of Abstracts, p. 16.

Research Projects Member of Research Projects founded by Ministry of Education and Science of Montenegro - Sector for Science and University Jan. 2000 – Jan. 2001. July 2005 - July 2007. September 2007 – September 2010. December 2008 – December 2011.

“Problemi linearne i nelinearne analize”, Project Leader: Žarko Pavićević. “Analiza s primjenama”, Project Leader: Žarko Pavićević. “Kompleksna analiza”, Project Leader: Žarko Pavićević. “Istraživanje optimalnog povezivanja pomorskih i kontinentalnih transportnih sistema - Case study: Valorizacija intermodalnosti crnogorskih potencijala (Brodarstva-Luka-Drumskog/Željezničkog/Vazdušnog transporta)”, Project Leader: Branislav Dragović.

Postgraduate students ● Žarko Sokolov, M.Sc. Thesis, Maritime Faculty, University of Montenegro, 2011, Kotor. ● Sanja Papan, M.Sc. Thesis, Maritime Faculty, University of Montenegro, 2013, Kotor. ● Filip Soković, M.Sc. Thesis, Maritime Faculty, University of Montenegro, 2014, Kotor. ● Božidar Grandis, M.Sc. Thesis, Maritime Faculty, University of Montenegro, 2014, Kotor. ● Jasmina Koleb, in progress, M.Sc. Thesis, Maritime Faculty, University of Montenegro, 2011, Kotor. ● Ana Papan, in progress, M.Sc. Thesis, Maritime Faculty, University of Montenegro, 2013, Kotor.

Specialist papers ● Filip Soković, Jedan pristup istraživanju modela teorije redova čekanja u pomorstvu, Maritime Faculty, Kotor, 2009. ● Zorica Kraljević, Modeliranje mrežnog saobraćaja sa primjenom Markovljevih procesa, Maritime Faculty, Kotor, 2010.

● Ivana Radulović, O pojmu vjerovatnoće blokiranja u teoriji redova čekanja, Maritime Faculty, Kotor, 2010. ● Ana Vukićević, Analiza diskretnog vremena sistema reda čekanja G(X)/D/1-S sa primjenama, Maritime Faculty, Kotor, 2010. ● Svetlana Ratković, Ekstremne vrijednosti funkcije više promjenljivih s primjenama, Maritime Faculty, Kotor, 2010. ● Andrea Samardžić, Obične diferencijalne jednačine s primjenama, Maritime Faculty, Kotor, 2010. ● Ivana Todorović, Transportni zadatak linearnog programiranja s primjenama, Maritime Faculty, Kotor, 2011. ● Jovanka Radović, Elementi teorije rizika sa primjenom u pomorskom transportu, Maritime Faculty, Kotor, 2011. ● Jovan Žižić, Araliza teorije rizika sa aplikacijama u modeliranju lučkih operacija, Maritime Faculty, Kotor, 2011. ● Ljiljana Marković, Simplex metoda sa primjenom u rješavanju transportnih problema, Maritime Faculty, Kotor, 2011. ● Veselin Vujanović, Matematičko modeliranje jednokanalnih i višekanalnih redova čekanja, Maritime Faculty, Kotor, 2011. ● Miloš Trivić, Modeli teorije redova čekanja sa osvrtom na intenzitet protoka klijenata, Maritime Faculty, Kotor, 2011. ● Ana Bukilica, Simulacioni softveri redova čekanja, Maritime Faculty, Kotor, 2011. ● Bojana Vujošević, Povećanje efikasnosti sistema redova čekanja u funkciji uzajamnog odnosa kanala opsluživanja, Maritime Faculty, Kotor, 2011. ● Ivana Stanković, Modeli teorije redova čekanja sa primjenama u pomorskom transportu, Maritime Faculty, Kotor, 2011. ● Sanja Krivokapić, Simulacija modela M/M/1sa primjenama u pomorskom transportu, Maritime Faculty, Kotor, 2012. ● Vladimir Vasić, Metode linearnog programiranja s primjenom u pomorskom transportu, Maritime Faculty, Kotor, 2012. ● Nataša Đuranović, Ekstremne vrijednosti funkcija više promjenljivih: Silvesterova metoda s primjenama u pomorskom transportu, Maritime Faculty, Kotor, 2013.