Curriculum Vitae
Neven Grbac, Full Professor of Mathematics
Preparation date: December 1, 2023
Birthdate: August 2, 1974
Birthplace: Rijeka, Croatia
Marital status: Married to
Tiki,
and the father of Mak, Vid and Lana
Academic Degrees:
- B.S. 1999, University of Zagreb, Croatia
- M.S. 2003, University of Zagreb, Croatia
Advisers: Goran Muić and Marko Tadić
- Ph.D. 2007, University of Zagreb, Croatia
Adviser: Goran Muić
Academic Positions:
- 1999-2007, Teaching Assistant, University of Zagreb, Croatia
- 2007-2009, Teaching Assistant, University of Rijeka, Croatia
- 2009-2013, Assistant Professor, University of Rijeka, Croatia
- 2013-2018, Associate Professor, University of Rijeka, Croatia
- 2018-2021, Associate Professor, Juraj Dobrila University of Pula, Croatia
- 2021- , Full Professor, Juraj Dobrila University of Pula, Croatia
Bibliography:
- Corespondence between the residual spectra of rank two split classical groups and their inner forms, Functional Analysis IX, 44-57, Various Publ. Ser. (Aarhus) 48, Univ. Aarhus, Aarhus, 2007.
- Residual spectrum of GL_n over a division algebra, Appendix to: Alexandru Ioan Badulescu, Global Jacquet-Langlands correpondence, multiplicity one and classification of automorphic representations, Invent. Math. 172 (2008), no. 2, 383-438.
- The residual spectrum of an inner form of Sp_8 supported in the minimal parabolic subgroup, Trans. Amer. Math. Soc. 361 (2009), no. 8, 3977-4012.
- On a relation between residual spectra of split classical groups and their inner forms, Canad. J. Math. 61 (2009), no. 4, 779-806.
- On the residual spectrum of Hermitian quaternionic inner form of SO_8, Glas. Mat. Ser. III 44(64) (2009), no. 1, 11--81.
-
with Joachim Schwermer,
On Eisenstein series and the cohomology of arithmetic groups, C. R. Math. Acad. Sci. Paris
348 (2010), no. 11-12, 597-600.
- with Joachim Schwermer,
On residual cohomology classes attached
to relative rank one Eisenstein series for the symplectic group,
Int. Math. Res. Not. IMRN 2011, no. 7, 1654-1705.
- On the residual spectrum of split classical groups supported in
the Siegel maximal parabolic subgroup, Monatsh. Math.
163 (2011), no. 3, 301-314.
- with Joachim Schwermer,
An exercise in automorphic cohomology - the case GL_2 over a quaternion algebra,
Arithmetic Geometry and Automorphic Forms, pp. 209-252,
Adv. Lect. Math. (ALM) 19,
Higher Ed. Press and Int. Press, Beijing - Somerville MA, 2011.
- The Franke filtration of the spaces of automorphic forms supported
in a maximal proper parabolic subgroup,
Glas. Mat. Ser. III 47(67) (2012), no. 2,
351-372.
- with Harald Grobner, The residual Eisenstein cohomology of Sp_4 over
a totally real number field, Trans. Amer. Math. Soc. 365 (2013), no. 10, 5199-5235.
- with Joachim Schwermer,
Eisenstein series, cohomology of arithmetic
groups, and automorphic L-functions at half integral arguments,
Forum Math. 26 (2014), no. 6, 1635-1662.
- Analytic properties of automorphic
L-functions and Arthur classification,
RIMS Kôkyûroku vol. 1934, pp. 26-39, RIMS, Kyoto, 2015.
- with Freydoon Shahidi,
Endoscopic transfer for unitary groups and holomorphy of
Asai L-functions, Pacific J. Math.
276 (2015), no. 1, 185-211.
- with Igor Ciganović,
The Zelevinsky classification of unramified representations of the metaplectic group,
J. Algebra 454 (2016), 357-399.
- On non-vanishing conditions of certain summands in Eisenstein cohomology,
RIMS Kôkyûroku vol. 2036, pp. 161-172, RIMS, Kyoto, 2017.
- with Nevena Jurčević Peček,
Note on reducibility of parabolic induction for hermitian quaternionic groups over p-adic fields,
Math. Commun. 23 (2018), no. 2, 181-196.
- Eisenstein cohomology and automorphic L-functions,
in: Cohomology of Arithmetic Groups, pp. 35-50, Springer, Cham, 2018.
- with Joachim Schwermer,
A construction of residues of Eisenstein series and related square-integrable classes
in the cohomology of arithmetic groups of low k-rank,
Forum Math. 31 (2019), no. 5, 1225-1263.
- with Joachim Schwermer,
Eisenstein series for rank one unitary groups and some cohomological applications,
Adv. Math. 376 (2021), Art. No. 107438, 48 pages.
-
Endoscopic transfer and automorphic L-functions:
The case of the general spin group and the twisted symmetric and
exterior square L-functions,
Rad Hrvat. Akad. Znan. Umjet. Mat. Znan.
28(558) (2024), 71-91.
- with Marcela Hanzer,
The Tadić philosophy: An overview of the guiding principles
and underlying ideas in the work of Marko Tadić,
Rad Hrvat. Akad. Znan. Umjet. Mat. Znan.
28(558) (2024), 3-48.
- with Harald Grobner,
Some unexpected phenomena in the Franke filtration of the space of automorphic forms
of the general linear group,
Israel J. Math., to appear (2022).
-
The Franke filtration of the spaces of automorphic forms on the symplectic group of rank two,
Mem. Amer. Math. Soc., to appear (2023).
Talks:
- June 2005, Conference Functional Analysis IX, Dubrovnik, Croatia
- January 2006 (2 talks), International Workshop on Unitary Representations of Reductive Groups over Local and Global Fields, Zagreb, Croatia
- December 2006, Seminar of the Erwin Schrödinger Institute, Vienna, Austria
- February 2007, Workshop Automorphic Forms, Geometry and Arithmetic, Erwin Schrödinger Institute, Vienna, Austria
- July 2007, Summer school and conference Automorphic Forms and Shimura Varieties, International Centre for Theoretical Physics (ICTP), Trieste, Italy
- October 2007, Workshop Spectra of Arithmetic Groups, Erwin Schrödinger Institute (ESI), Vienna, Austria
- March 2008, Colloquium of the Mathematicians and Physicists Society of Rijeka, Dept. of Mathematics, Rijeka, Croatia
- April 2008, Scientific Colloquium of the Croatian Mathematical Society, Dept. of Mathematics, Zagreb, Croatia
- July 2008, Seminar of the Erwin Schrödinger Institute (ESI), Vienna, Austria
- September 2008 (2 talks), Workshop Unitarity and Automorphic Forms, Dept. of Mathematics, Zagreb, Croatia
- February 2009, Workshop within the programme Representation Theory of Reductive Groups - Local and Global Aspects, Erwin Schrödinger Institute (ESI), Vienna, Austria
- May 2010 (series of 4 lectures), Spring graduate school ESI May Seminar in Number Theory 2010,
Erwin Schrödinger Institute (ESI), Vienna, Austria
- March 2011, Workshop Automorphic Forms: New Directions,
Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach, Germany
- May 2011 (series of 3 lectures), graduate school Workshop on
L-functions, Galois Representations and Iwasawa Theory, University
of Michigan, Ann Arbor, USA
- June 2012, 5th Croatian Mathematical Congress,
Dept. of Mathematics, Rijeka, Croatia
- October 2013 (series of 2 lectures), Workshop Advances in the Theory
of Automorphic Forms and their L-Functions,
Erwin Schrödinger Institute (ESI), Vienna, Austria
- January 2014, Workshop Automorphic Forms and
Related L-Functions, Research Institute for Mathematical
Sciences (RIMS), Kyoto, Japan
- February 2014, Number Theory Seminar, Graduate School of
Mathematical Sciences, University of Tokyo, Japan
- June 2014, Conference Representations of p-adic
Groups; A Conference Dedicated to Marko Tadić
on his 60th Birthday, Dept. of Mathematics, Zagreb, Croatia
- November 2014, Seminar on Eisenstein Cohomology,
Max Planck Institut für Mathematik, Bonn, Germany
- January 2015, Scientific Colloquium of the Croatian Mathematical Society, Dept. of Mathematics, Zagreb, Croatia
- April 2015, Representation Theory and Number Theory
Workshop, National University of Singapore, Singapore
- April-May 2015, Thematic programme Arithmetic
Geometry and Automorphic Representations,
Erwin Schrödinger Institute (ESI), Vienna, Austria
- February 2016, Workshop Automorphic Forms, Automorphic L-Functions and
Related Topics, Research Institute for Mathematical
Sciences (RIMS), Kyoto, Japan
- June 2016, Conference on the Cohomology of Arithmetic Groups
on the occasion of Joachim Schwermer's 66th birthday,
Max-Planck-Institut für Mathematik, Bonn, Germany
- June 2016,
6th Croatian Mathematical Congress, University of Zagreb, Croatia
- June 2022,
Workshop On Arthur Packets and Related Problems,
University of Zagreb, Croatia
Graduate Courses:
- Eisenstein Series, delivered in spring term 2010
at the Erwin Schrödinger Institute (ESI), Vienna, Austria
- Eisenstein Series - from the Upper Half Plane to the
Adelic GL_2, delivered in 2011/2012 at the Dept. of Mathematics, Zagreb, Croatia
Professional Experience:
- July 2001, European Summer School in Group Theory, Centre international de rencontres mathématiques (CIRM), Luminy, Marseille, France
- September 2001, Conference and summer school Functional Analysis VII, Dubrovnik, Croatia
- June 2003, Conference and summer school Functional Analysis VIII, Dubrovnik, Croatia
- June 2004, Summer school Representation Theory and Complex Analysis, Venice, Italy
- June 2005, Conference and summer school Functional Analysis IX, Dubrovnik, Croatia
- October 2005, Workshop Recent Trends in Endoscopy and Representation Theory, Humboldt University, Berlin, Germany
- January 2006, International Workshop on Unitary Representations of Reductive Groups over Local and Global Fields, Zagreb, Croatia
- December 2006, Visitor at the Erwin Schrödinger Institute (ESI), Vienna, Austria
- February 2007, Follow-up workshop to the 2006 programme Automorphic Forms, Geometry and Arithmetic, Erwin Schrödinger Institute (ESI), Vienna, Austria
- July 2007, Summer school and conference Automorphic Forms and Shimura Varieties, International Centre for Theoretical Physics (ICTP), Trieste, Italy
- October 2007, Workshop Spectra of Arithmetic Groups, Erwin Schrödinger Institute (ESI), Vienna, Austria
- February 2008, Workshop Automorphic Forms, Geometry and Arithmetic, Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach, Germany
- Spring term 2008, Junior Research Fellow at the Erwin Schrödinger Institute (ESI), Vienna, Austria
- September 2008, Workshop Unitarity and Automorphic Forms, Dept. of Mathematics, Zagreb, Croatia
- January - February 2009, Programme Representation Theory of Reductive Groups - Local and Global Aspects, Erwin Schrödinger Institute (ESI), Vienna, Austria
- October 2009, Visitor at the Erwin Schrödinger Institute (ESI), Vienna, Austria
- October 2009, Autumn School Towards p-adic Langlands Correspondence, Mathematical Research Institute of the University of Sevilla (IMUS), Sevilla, Spain
- Spring term 2010, Senior Research fellow at the Erwin Schrödinger Institute (ESI),
Vienna, Austria
- May 2010, Spring school ESI May Seminar in Number Theory 2010,
Erwin Schrödinger Institute (ESI),
Vienna, Austria
- March 2011, Workshop Automorphic Forms: New Directions,
Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach, Germany
- May 2011, Workshop on
L-functions, Galois Representations and Iwasawa Theory, University
of Michigan, Ann Arbor, USA
- June 2012, 5th Croatian Mathematical Congress,
Dept. of Mathematics, Rijeka, Croatia
- July 2012, Visitor at the Erwin Schrödinger Institute (ESI), Vienna, Austria
- February and March 2013,
Visitor at the Erwin Schrödinger Institute (ESI), Vienna, Austria
- October 2013, Workshop Advances in the Theory
of Automorphic Forms and their L-Functions,
Erwin Schrödinger Institute (ESI), Vienna, Austria
- December 2013,
Visitor at the Erwin Schrödinger Institute (ESI), Vienna, Austria
- January 2014, Workshop Automorphic Forms and
Related L-Functions, Research Institute for Mathematical
Sciences (RIMS), Kyoto, Japan
- February 2014, Visitor at the Graduate School of
Mathematical Sciences, University of Tokyo, Japan
- June 2014, Conference Representations of p-adic
Groups; A Conference Dedicated to Marko Tadić
on his 60th Birthday, Dept. of Mathematics, Zagreb, Croatia
- June 2014, Summer school and conference
Gan-Gross-Prasad Conjectures, Institut de
mathématiques de Jussieu, Paris, France
- July 2014, Visitor at the Faculty of Mathematics,
University of Vienna, Austria
- October 2014, Visitor at the Université
Paris Diderot - Paris 7 and Institut de mathématiques
de Jussieu, Paris, France
- November 2014, Seminar On Eisenstein Cohomology,
Max Planck Institut für Mathematik, Bonn, Germany
- December 2014, Visitor at the Faculty of Mathematics
and Erwin Schrödinger Institute (ESI), Vienna, Austria
- April 2015, Representation Theory and Number Theory
Workshop, National University of Singapore, Singapore
- April-May 2015, Thematic programme Arithmetic
Geometry and Automorphic Representations,
Erwin Schrödinger Institute (ESI), Vienna, Austria
- February 2016, Workshop Automorphic Forms, Automorphic L-Functions and
Related Topics, Research Institute for Mathematical
Sciences (RIMS), Kyoto, Japan
- March 2016, Visitor at the Erwin Schrödinger Institute (ESI),
Vienna, Austria
- May 2016, Visitor at the Institut de mathématiques
de Jussieu, Paris, France
- June 2016, Conference on the Cohomology of Arithmetic Groups
on the occasion of Joachim Schwermer's 66th birthday,
Max Planck Institut für Mathematik, Bonn, Germany
- June 2016, 6th Croatian Mathematical Congress,
University of Zagreb, Croatia
- May 2018,
Workshop On Some Recent Developments in Local and Global Representation Theory,
University of Zagreb, Croatia
- June 2022,
Workshop On Arthur Packets and Related Problems,
University of Zagreb, Croatia