Department of Mathematics Faculty of Science University of Zagreb Bijenička cesta 30 Zagreb, 10000 Croatia   Room: A310/III Phone: +385 1 460 5890   E-mail: iljamath.hr

Curriculum Vitae (en / hr)

Education

• Ph.D. in Mathematics: June 2, 2010, Department of Mathematics, University of Zagreb
  Disertation title: Completely bounded maps and subhomogeneous C*-algebras (in Croatian)
  Advisor: Prof. Bojan Magajna (co-advisor: Prof. Damir Bakić)

• B.Sc. in Mathematics: January 12, 2005, Department of Mathematics, University of Zagreb
  Diploma Thesis: K-Theory for C*-algebras (in Croatian)
  Advisor: Prof. Hrvoje Kraljević

Fields of Interest

• Operator algebras
• General theory of C*-algebras and von Neumann algebras
• Automorphisms, derivations and elementary operators on C*-algebras
• Topological and ring theoretic methods in C*-algebras

• Noncommutative algebra
• Characterizations of Jordan homomorphisms
• Algebraic variations of problems in operator algebras

Research Papers and Preprints

• Continuous spectrum-shrinking maps between finite-dimensional algebras (with M. Tomašević), preprint
  
  
• Classification of Jordan multiplicative maps on matrix algebras (with M. Tomašević), preprint
  
  
• Multiplicative and Jordan multiplicative maps on structural matrix algebras (with M. Tomašević), preprint
  
  
• A variant of Šemrl's preserver theorem for singular matrices (with A. Chirvasitu and M. Tomašević), preprint
  
  
• Continuous spectrum-shrinking maps and applications to preserver problems (with A. Chirvasitu and M. Tomašević), preprint
  
  
• An extension of Petek-Šemrl preserver theorems for Jordan embeddings of structural matrix algebras (with M. Tomašević), J. Math. Anal. Appl., 549 (2025), 129497
  https://doi.org/10.1016/j.jmaa.2025.129497
  
  
• Jordan embeddings and linear rank preservers of structural matrix algebras (with M. Tomašević), Linear Algebra Appl., 707 (2025), 1-48
  https://doi.org/10.1016/j.laa.2024.11.013
  
  
• Characterizing Jordan embeddings between block upper-triangular subalgebras via preserving properties (with T. Petek and M. Tomašević), Linear Algebra Appl., 704 (2025), 192-217
  https://doi.org/10.1016/j.laa.2024.10.005
  
  
• Local variants of the Dixmier property and weak centrality for C*-algebras (with R. J. Archbold and L. Robert), Int. Math. Res. Not. IMRN, 2 (2023), 1483–1513
  https://doi.org/10.1093/imrn/rnab275
  
  
• The centre-quotient property and weak centrality for C*-algebras (with R. J. Archbold), Int. Math. Res. Not. IMRN, 2 (2022), 1173–1216
  https://doi.org/10.1093/imrn/rnaa133
  
  
• The cb-norm approximation of generalized skew derivations by elementary operators, Linear Multilinear Algebra, 69 (2021), 1543-1556
  https://doi.org/10.1080/03081087.2019.1632784
  
  
• On the ideal structure of the tensor product of nearly simple algebras, Comm. Algebra, 48 (2020), 2248-2257
  https://doi.org/10.1080/00927872.2019.1710842
  
  
• Elementary operators on Hilbert modules over prime C*-algebras (with Lj. Arambašić), J. Math. Anal. Appl., 485 (2020), 123861
  https://doi.org/10.1016/j.jmaa.2020.123861
  
  
• Centrally stable algebras (with M. Brešar), J. Algebra, 537 (2019), 79-97
  https://doi.org/10.1016/j.jalgebra.2019.06.041
  
  
• The closure of two-sided multiplications on C*-algebras and phantom line bundles (with R. M. Timoney), Int. Math. Res. Not. IMRN, 2 (2018), 607-640
  https://doi.org/10.1093/imrn/rnw248
  
  
• On unital C(X)-algebras and C(X)-valued conditional expectations of finite index (with E. Blanchard), Linear Multilinear Algebra, 64 (2016), 2406-2418
  https://doi.org/10.1080/03081087.2016.1158231
  
  
• Generalized skew derivations implemented by elementary operators (with D. Eremita and D. Ilišević), Algebr. Represent. Theory, 17 (2014), 983-996
  https://doi.org/10.1007/s10468-013-9429-8
  
  
• The local multiplier algebra of a C*-algebra with finite dimensional irreducible representations, J. Math. Anal. Appl., 408 (2013), 789-794
  https://doi.org/10.1016/j.jmaa.2013.06.036
  
  
• Derivations of subhomogeneous C*-algebras are implemented by local multipliers, Proc. Amer. Math. Soc., 141 (2013), 3925-3928
  https://doi.org/10.1090/S0002-9939-2013-11762-4
  
  
• On derivations and elementary operators on C*-algebras, Proc. Edinb. Math. Soc., 56 (2013), 515-534
  https://doi.org/10.1017/S0013091512000302
  
  
• Topologically finitely generated Hilbert C(X)-modules, J. Math. Anal. Appl., 395 (2012), 559-568
  https://doi.org/10.1016/j.jmaa.2012.05.050
  
  
• Elementary operators and subhomogeneous C*-algebras II, Banach J. Math. Anal., 5 (2011), 181-192
  https://doi.org/10.15352/bjma/1313362989
  
  
• Elementary operators and subhomogeneous C*-algebras, Proc. Edinb. Math. Soc., 54 (2011), 99-111
  https://doi.org/10.1017/S0013091509001114
  
  
• Derivations which are inner as completely bounded maps, Oper. Matrices, 4 (2010), 193-211
  https://doi.org/10.7153/oam-04-09

Conference and Workshop Talks

• The Dixmier property and weak centrality for C*-algebras, 8th Croatian Mathematical Congress
  Osijek, Croatia, July 2-5, 2024
  
  
• Applications of algebraic topology to operator algebras: Homogeneous C*-algebras, XXII Geometrical Seminar
  Vrnjačka Banja, Serbia, May 26-31, 2024
  
  
• Applications of algebraic topology to operator algebras: Homogeneous C*-algebras, Kick-off meeting of CA21109 COST Action CaLISTA
  Bologna, June 5-9, 2023
  
  
• On noncommutative branched coverings, XXI Geometrical Seminar
  Belgrade, Serbia, June 26-July 2, 2022
  
  
• Elementary operators on C*-algebras and Hilbert C*-modules, The 49th Canadian Operator Symposium
  University of Guelph, May 31 - June 4, 2021 (online)
  
  
• On automorphisms, derivations and elementary operators of C*-algebras, Great Plains Operator Theory Symposium 2021
  Washington University in St. Louis, May 10-14, 2021 (online)
  
  
• Elementary operators on Hilbert C*-modules, International Workshop Hilbert C*-Modules Online Weekend
  December 5-6, 2020 (online)
  
  
• Centrally stable algebras, 2nd Zagreb Workshop on Operator Theory
  University of Zagreb, June 29-30, 2020 (online)
  
  
• The centre-quotient property and weak centrality for C*-algebras, The 48th Canadian Operator Symposium
  The Fields Institute, May 25-29, 2020 (online)
  
  
• The cb-norm approximation of derivations and automorphisms by elementary operators, IWOTA 2019
  Lisbon, Portugal, July 22-26, 2019
  
  
• The cb-norm approximations by two-sided multiplications and elementary operators, Analysis, Geometry and Algebra
  Trinity College Dublin, Ireland, May 8-10, 2019
  
  
• The cb-norm approximation of generalized skew derivations by elementary operators, Workshop: Operator days
  Zagreb, Croatia, January 31-February 1, 2019
  
  
• On unital C(X)-algebras and C(X)-valued conditional expectations of finite index, The ninth Symposium "Mathematics and Applications" 2018
  Belgrade, Serbia, November 30 - December 1, 2018
  
  
• Fiberwise two-sided multiplications on homogeneous C*-algebras, 27th International Conference in Operator Theory
  Timisoara, Romania, July 2-6, 2018
  
  
• Fiberwise two-sided multiplications on homogeneous C*-algebras, XX Geometrical Seminar
  Vrnjačka Banja, Serbia, May 20-23, 2018
  
  
• Two-sided multiplications and phantom line bundles, 19th Geometrical Seminar
  Zlatibor, Serbia, August 28-September 4, 2016
  
  
• When are the lengths of elementary operators uniformly bounded?, IWOTA 2015
  Tbilisi, Georgia, July 6-10, 2015
  
  
• When are the two-sided multiplication maps norm-closed?, 43rd Canadian Operator Symposium on Operator Theory and Operator Algebras
  University of Waterloo, Ontario, Canada, June 15-19, 2015
  
  
• CB-norm approximation of derivations by elementary operators, Great Plains Operator Theory Symposium 2015
  Purdue University, Indiana, USA, May 26-30, 2015
  
  
• On derivations and elementary operators on C*-algebras, Infinite Dimensional Function Theory: Present Progress and Future Problems
  University College Dublin, Ireland, January 8-9, 2015
  
  
• C(X)-algebras as noncommutative branched covering, Masterclass on Classification, STructure, Amenability and Regularity
  University of Glasgow, Scotland, UK, August 25-29, 2014
  
  
• Topologically finitely generated Hilbert C(X)-modules, Days of Analysis in Novi Sad
  University of Novi Sad, Serbia, July 3-7, 2014
  
  
• C(X)-algebras as noncommutative branched covering, Zagreb Workshop on Operator Theory
  University of Zagreb, Croatia, July 3-4, 2014
  
  
• Derivations and local multipliers of C*-algebras, Great Plains Operator Theory Symposium 2014
  Kansas State University, Kansas, USA, May 27-31, 2014
  
  
• Finitely C(X)-generated continuous C(X)-algebras, Young Functional Analysts' Meeting 2014
  University of Debrecen, Hungary, April 11-13, 2014
  
  
• The local multiplier algebra of a C*-algebra with finite dimensional irreducible representations, Banach Algebras and Applications
  University of Gothenburg, Sweden, July 29-August 4, 2013
  
  
• On Automorphisms, Derivations and Elementary Operators, The 4th Novi Sad Algebraic Conference & Semigroups and Applications 2013
  University of Novi Sad, Serbia, June 5-9, 2013
  
  
• Topologically finitely generated Hilbert C(X)-modules, 24th International Conference on Operator Theory
  The West University of Timisoara, Romania, July 2-7, 2012
  
  
• Elementary operators and subhomogeneous C*-algebras, Banach Algebras 2011
  University of Waterloo, Ontario, Canada, August 3-10, 2011
  
  
• Finitely centrally generated C*-algebras, Applied Linear Algebra
  University of Novi Sad, Serbia, May 24-28, 2010
  
  
• Derivations, completely bounded maps and the ideal structure of C*-algebras, Operators, Spaces, Algebras, Modules
  University of Zagreb, Croatia, March 1-4, 2010

Seminar and Colloquium Talks

• Centrally stable algebras, Mathematical Colloquium
  Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, June 20, 2019
  
  
• Local multipliers and elementary operators of C*-algebras, Operator Theory Seminar
  University of Belgrade, Serbia, June 20, 2019
  
  
• Finitely C(X)-generated continuous C(X)-algebras, Seminar on Geometry, Education and Visualization with Applications
  Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, November 29, 2018
  
  
• The cb-norm approximation of generalized skew derivations by elementary operators, Operator Theory Seminar
  University of Belgrade, Serbia, November 29, 2018
  
  
• Fiberwise two-sided multiplications and the second Čech cohomology, Combinatorics, Geometry, Topology and Algebra Seminar
  University of Belgrade, Serbia, November 27, 2018
  
  
• The cb-norm approximation of generalized skew derivations by elementary operators, Functional Analysis and Algebra Seminar
  University of Ljubljana, Slovenia, November 22, 2018
  
  
• When are the lengths of elementary operators uniformly bounded?, Analysis Seminar
  Trinity College Dublin, Ireland, February 9, 2016
  
  
• Uniform approximation by two-sided multiplication maps, Analysis Seminar
  Trinity College Dublin, Ireland, October 27, 2015
  
  
• Uniform approximation by two-sided multiplication maps on C*-algebras M_n(C(X)), Combinatorics, Geometry, Topology and Algebra Seminar
  University of Belgrade, Serbia, June 26, 2015
  
  
• CB-norm approximation of derivations by elementary operators, Analysis Seminar
  University of Glasgow, Scotland, UK, March 3, 2015
  
  
• Noncommutative branched coverings, Analysis Seminar
  Trinity College Dublin, Ireland, January 27, 2015
  
  
• Derivations, elementary operators and local multipliers of C*-algebras, Functional Analysis and Algebra Seminar
  University of Ljubljana, Slovenia, February 27, 2014
  
  
• Elementary operators on homogeneous C*-algebras, Combinatorics, Geometry, Topology and Algebra Seminar
  University of Belgrade, Serbia, February 25, 2014
  
  
• C(X)-valued conditional expectations of finite index, Seminar for Analysis and Foundations of Mathematics
  University of Novi Sad, Serbia, December 9, 2013
  
  
• Homogeneous C*-algebras, Combinatorics, Geometry, Topology and Algebra Seminar
  University of Belgrade, Serbia, December 3, 2013
  
  
• Topological and C*-algebraic K-theory, Seminar for Analysis and Foundations of Mathematics
  University of Novi Sad, Serbia, December 2, 2013
  
  
• C*-algebras as noncommutative topology, Seminar for Analysis and Foundations of Mathematics
  University of Novi Sad, Serbia, November 25, 2013
  
  
• Apllications of fibre bundles to C*-algebras, Seminar on Geometry, Education and Visualization with Applications
  Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, November 21, 2013
  
  
• Noncommutative branched coverings, Mathematical Colloquium
  Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, November 8, 2013
  
  
• Derivations of C*-algebras and local multipliers, Mathematical Colloquium of Osijek Mathematical Society
  University of Osijek, Croatia, April 11, 2013
  
  
• Derivations of C*-algebras and local multipliers, Scientific Colloquium of Croatian Mathematical Society
  University of Zagreb, Croatia, January 30, 2013
  
  
• Derivations implemented by local multipliers, Seminar for Analysis and Foundations of Mathematics
  University of Novi Sad, Serbia, October 29, 2012
  
  
• On derivations and elementary operators on C*-algebras, Analysis Seminar
  University of Aberdeen, Scotland, UK, November 4, 2011
  
  
• Topologically finitely generated Hilbert C(X)-modules, Analysis Seminar
  Trinity College Dublin, Ireland, November 1, 2011
  
  
• Elementary operators and subhomogeneous C*-algebras, Functional Analysis and Algebra Seminar
  University of Ljubljana, Slovenia, April 16, 2010

Teaching (in Croatian)

    Predavanja

• Operatori na normiranim prostorima
  
  • pondjeljak, 12-14 u 004 i srijeda 13-14 u 108
• Integrali funkcija više varijabli
  
  • utorak, 12-13 u A101 i srijeda 10-12 u 004

    Konzultacije

• ponedjeljak, 14-16 (uz prethodnu najavu e-mailom)

• Oktonioni i Hurwitzov teorem
• Kvaternioni i Frobeniusov teorem
• Paradoksalne dekompozicije
• Baireov teorem o kategoriji
• Hamelove baze i primjene

• I. Gogić, Uvod u funkcionalnu analizu, skripta, PMF-MO, Zagreb
  
• I. Gogić, Diferencijalna geometrija, skripta, PMF-MO, Zagreb
  
• I. Gogić, P. Pandžić, J. Tambača, Diferencijalni račun funkcija više varijabli, skripta, PMF-MO, Zagreb
  
• I. Gogić, P. Pandžić, J. Tambača, Integrali funkcija više varijabli, skripta, PMF-MO, Zagreb
  
• I. Gogić, Odabrana poglavlja teorije operatorskih algebri, skripta, PMF-MO, Zagreb
  
• I. Gogić, A. Mimica, Matematička analiza 2, vježbe, PMF-MO, Zagreb
  

• I. Gogić, M. Bašić, D. Turčinović, J. Pucar Jambrović, Z. Pusić, Sjećanja na Senku Sedmak, Poučak: časopis za metodiku i nastavu matematike, Vol. 25 No. 97, 2024.
• I. Gogić, M. Tomašević, Gelfand-Mazurov teorem i Osnovni teorem algebre, časopis math.e, br. 37, 2020.

Mathematical links

• Functional Analysis Seminar in Zagreb
• Operator Algebra Searchable Information Site (OASIS)
• Operator Algebra page of N. C. Phillips
• Operator Algebra Resources
• Novi Sad Journal of Mathematics (NSJOM)
• Zagreb Workshop on Operator Theory 2020
• arXiv

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