prof. dr. sc. Neven Grbac

Teaching

undergraduate

• Differential and Integral Calculus (241256) - Lecturer in charge, Lecturer in charge
• Geometry and Linear Algebra (241258) - Lecturer in charge, Lecturer in charge
• Graphs and Topology (253885) - Lecturer in charge
• Harmonic Analysis (253880) - Lecturer in charge
• Logic and discrete mathematics (241255) - Lecturer in charge, Lecturer in charge
• Mathematical analysis (241259) - Lecturer in charge, Lecturer in charge

graduate

• Mathematics III (246033) - Lecturer in charge
• Mathematics III. (215775) - Lecturer in charge
• Network Analysis (255588) - Lecturer in charge

integrated undergraduate and graduate

• Basic Geometry (273618) - Lecturer in charge
• Basic Geometry (273801) - Lecturer in charge
• Basics of mathematics (273598) - Lecturer in charge
• Basics of Mathematics (273748) - Lecturer in charge

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

Scientific publications (CroRIS)