prof. dr. sc. Neven Grbac
Teaching
undergraduate
graduate
integrated undergraduate and graduate
Biography
Neven Grbac was born on August 2, 1974, in Rijeka, Croatia. He received the Ph.D. degree in mathematics from the Department of Mathematics, Faculty of Science, Univerity of Zagreb, Croatia, in 2007. He is currently the full professor of mathematics at the Juraj Dobrila University of Pula, Croatia. Since 1999 until 2007 he was with the Faculty of Electrical Engineering and Computing, University of Zagreb, Croatia, and since 2007 until 2018 he was with the Department of Mathematics, University of Rijeka, Croatia. He is married to Tihana Galinac Grbac, and the father of Mak, Vid and Lana.
His research interests are within the field of number theory, in particular, the Langlands program. More precisely, they include, but are not limited to the theory of automorphic forms, representation theory and cohomology of arithmetic groups. He has published 20 research papers and has given more than 30 talks at international conferences, workshop and seminars, including two courses at doctoral study programmes in Vienna and Zagreb, as well as three mini-courses for doctoral and post-doctoral students at the University of Michigan and the Universtiy of Vienna. As a visiting professor, he spent more than a year at several international research centers in Vienna, Bonn, Paris, Tokyo, Kyoto, Michigan etc.
For more details see the personal web page
List of select publications
Click HERE for the complete list of publications with pdf offprints
The Franke filtration of the spaces of automorphic forms on the symplectic group of rank two
Mem. Amer. Math. Soc., to appear (2023).
Some unexpected phenomena in the Franke filtration of the space of automorphic forms of the general linear group
(with Harald Grobner), Israel J. Math., to appear (2022).
The Tadić philosophy: An overview of the guiding principles and underlying ideas in the work of Marko Tadić
(with Marcela Hanzer), Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. 28(558) (2024), 3-48.
Eisenstein series for rank one unitary groups and some cohomological applications
(with Joachim Schwermer), Adv. Math. 376 (2021), Art. No. 107438, 48 pages.
A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low k-rank
(with Joachim Schwermer), Forum Math. 31 (2019), no. 5, 1225-1263.
Eisenstein cohomology and automorphic L-functions
Cohomology of Arithmetic Groups, pp. 35-50, Springer, Cham, 2018.
Residual spectrum of GLn over a division algebra
Appendix to: A. I. Badulescu, Global Jacquet-Langlands correpondence, multiplicity one and classification of automorphic representations
Invent. Math. 172 (2008), no. 2, 383-438.
Professional memberships
Research interests:
- number theory
- Langlands program
- automorphic forms
- representation theory
- cohomology of arithmetic groups
- applications
Membership:
- Croatian Mathematical Society (HMD), since 1996
- European Mathematical Society (EMS), since 2012
- American Mathematical Society (AMS), since 2012
- Mathematical Society Istria (MDI), since 2019
- Society of Mathematicians and Physicists Rijeka (DMF), since 2008
List of select projects
Click HERE for the list of all projects
Ongoing projects:
Croatian Science Foundation research project HRZZ-IP-2022-10-4615 SMART-Langlands: Spaces of Modular and Automorphic Forms and Representation Theory within the Framework of the Langlands program, 2023-2027, principal investigator, project web page SMART-Langlands
Austrian Science Fund FWF Principal Investigator Project PAT4628923 New Aspects of Automorphic and Smooth-Automorphic Forms, 2024-2028, international project participant (PI: Harald Grobner, University of Vienna)
Croatian Science Foundation research project HRZZ-IP-2019-04-4216 Reliable and Safe Complex Software Systems: from Empirical Principles to to Theoretical Models in View of Industrial Applications, 2020-2024, researcher (PI: Tihana Galinac Grbac, University of Pula)
Past employments
2018 - present, Juraj Dobrila University of Pula, Croatia
2007 - 2018, Department of Mathematics, University of Rijeka, Croatia
1999 - 2007, Faculty of Electrical Engineering and Computing (FER), University of Zagreb, Croatia
Published papers recorded in the Croatian Scientific Bibliography Database
Endoscopic transfer and automorphic L-functions: the case of the general spin group and the twisted symmetric and exterior square L-functions
Grbac, Neven
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 28 (2024) str. 71-91
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti
The Tadić philosophy: An overview of the guiding principles and underlying ideas in the work of Marko Tadić
Grbac, Neven; Hanzer, Marcela
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 28 (2024) str. 3-48
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti
The Franke filtration of the spaces of automorphic forms on the symplectic group of rank two
Grbac, Neven
Memoirs of the American Mathematical Society, (2023)
Memoirs of the American Mathematical Society
Preliminary Study of Higher Dimensional Software Structures
Puh, Emili; Galinac Grbac, Tihana; Grbac, Neven
(2023) str. 13-25
Letter to the editor: on the paper "The double Pareto-Lognormal distribution - a new parametric model for size distributions" and its correction
Grbac, Neven ; Galinac Grbac, Tihana
Communications in statistics : theory and methods, (2023)
Communications in statistics : theory and methods
Elliptic curve cryptography in view of quantum computing
Solo, Loris; Grbac, Neven
Zbornik studentskih radova (Pula), 2 (2023) str. 313-340
Zbornik studentskih radova (Pula)
Some unexpected phenomena in the Franke filtration of the space of automorphic forms of the general linear group
Grbac, Neven ; Grobner, Harald
Israel journal of mathematics, (2022)
Israel journal of mathematics
Algorithms for Sustainable System Topologies
Galinac Grbac, Tihana ; Grbac, Neven
(2022) str. 64-72
Eisenstein series for rank one unitary groups and some cohomological applications
Grbac, Neven ; Schwermer, Joachim
Advances in mathematics, 376 (2021) 107438, 41
Advances in mathematics
A construction of residues of Eisenstein series and related square- integrable classes in the cohomology of arithmetic groups of low k-rank
Grbac, Neven ; Schwermer, Joachim
Forum mathematicum, 31 (2019) str. 1225-1263
Forum mathematicum
Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields
Grbac, Neven ; Jurčević Peček, Nevena
Mathematical communications, 23 (2018) str. 181-196
Mathematical communications
Eisenstein cohomology and automorphic L-functions
Grbac, Neven
(2018) str. 35-50
Representation theory of hermitian quaternionic groups over p-adic fields
Jurčević Peček, Nevena
(2016)
The Zelevinsky classification of unramified representations of the metaplectic
Ciganović, Igor ; Grbac, Neven
Journal of algebra, 454 (2016) str. 357-399
Journal of algebra
Endoscopic transfer for unitary groups and holomorphy of Asai L-functions
Grbac, Neven ; Shahidi, Freydoon
Pacific journal of mathematics, 276 (2015) str. 185-211
Pacific journal of mathematics
Eisenstein series, cohomology of arithmetic groups, and automorphic L-functions at half integral arguments
Grbac, Neven ; Schwermer, Joachim
Forum mathematicum, 26 (2014) str. 1635-1662
Forum mathematicum
The residual Eisenstein cohomology of Sp4 over a totally real number field
Grbac, Neven ; Grobner, Harald
Transactions of the American mathematical society, 365 (2013) str. 5199-5235
Transactions of the American mathematical society
The Franke filtration of the spaces of automorphic forms supported in a maximal proper parabolic subgroup
Grbac, Neven
Glasnik matematički, 47 (2012) str. 351-372
Glasnik matematički
On the residual spectrum of split classical groups supported in the Siegel maximal parabolic subgroup
Grbac, Neven
Monatshefte für Mathematik, 163 (2011) str. 301-314
Monatshefte für Mathematik
On residual cohomology classes attached to relative rank one Eisenstein series for the symplectic group
Grbac, Neven ; Schwermer, Joachim
International mathematics research notices, 2011 (2011) str. 1654-1705
International mathematics research notices
An exercise in automorphic cohomology - the case GL2 over a quaternion algebra
Grbac, Neven ; Schwermer, Joachim
(2011) str. 209-252
On Eisenstein series and the cohomology of arithmetic groups
Grbac, Neven ; Schwermer, Joachim
Comptes rendus mathématiques de l'Académie des sciences, 348 (2010) str. 597-600
Comptes rendus mathématiques de l'Académie des sciences
Mathematical Competitions in Croatia
Grbac, Neven ; Hanjš, Željko
(2009)
The Residual Spectrum of an Inner Form of Sp_8 Supported in the Minimal Parabolic Subgroup
Grbac, Neven
Transactions of the American mathematical society, 361 (2009) str. 3977-4012
Transactions of the American mathematical society
On a Relation between Residual Spectra of Split Classical Groups and Their Inner Forms
Grbac, Neven
Canadian journal of mathematics, 61 (2009) str. 779-806
Canadian journal of mathematics
On the Residual Spectrum of Hermitian Quaternionic Inner Form of SO_8
Grbac, Neven
Glasnik matematički, 44 (2009) str. 11-81
Glasnik matematički
Mathematical Competitions in Croatia
Grbac, Neven ; Hanjš, Željko
(2008)
The Residual Spectrum of GL_n over a Division Algebra, Appendix to: A.I. Badulescu, Global Jacquet-Langlands Correspondence, Multiplicity One and Classification of Automorphic Representations
Badulescu, Alexandru Ioan ; with an appendix by Grbac, Neven
Inventiones mathematicae, 172 (2008) str. 428-436
Inventiones mathematicae
Correspondence between the Residual Spectra of Rank Two Split Classical Groups and Their Inner Forms
Grbac, Neven
(2007) str. 44-57
Mathematical Competitions in Croatia
Grbac, Neven ; Hanjš, Željko
(2007)
Residual spectrum of hermitian quaternionic inner form of SO_8
Mathematical competitions in Croatia
Grbac, Neven ; Hanjš, Željko
(2005)
Mathematical Competitions in Croatia
Grbac, Neven ; Hanjš, Željko
(2004)
Conversion theorems and functoriality
Instrumental recording of electrophonic sounds from Leonid fireballs
Zgrablić, Goran ; Vinković, Dejan ; Gradečak, Silvija ; Kovačić, Damir ; Biliškov, Nikola ; Grbac, Neven ; Andreić, Željko ; Garaj, Slaven
Journal of geophysical research. Space physics, 107 (2002) str. 1124-1132
Journal of geophysical research. Space physics
Instrumental Detection of Meteor-produced VLF Electromagnetic Radiation
Andreić, Željko ; Vinković, Dejan ; Garaj, Slaven ; Zgrablić, Goran ; Kovačić, Damir ; Gradečak, Silvija ; Biliškov, Nikola ; Grbac, Neven
(2000)
Observational detection of meteor-produced VLF Electromagnetic radiation
Garaj, Slaven ; Vinković, Dejan ; Zgrablić, Goran ; Kovačić, Damir ; Gradečak, Silvija ; Biliškov, Nikola ; Grbac, Neven ; Andreić, Željko
Fizika A, 8 (1999) str. 91-98
Fizika A
Electrophonic sounds and VLF electromagnetic radiation of meteors (project ILW Croatia)
Zgrablić, Goran ; Garaj, Slaven ; Vinković, Dejan ; Kovačić, Damir ; Gradečak, Silvija ; Biliškov, Nikola ; Grbac, Neven ; Andreić, Željko
(1999) str. 131-131
VLF emission and electrophonic sounds from Leonids identified
Vinković, Dejan ; Garaj, Slaven ; Zgrablić, Goran ; Gradećak, Silvija ; Kovačić, Damir ; Biliškov, Nikola ; Grbac, Neven ; Andreić, Željko ;
(1999) str. xx-yy
Pristupačnost