### Darija Brajković Zorić

Josip Juraj Strossmayer University of Osijek

### Research Interests

Representation theory of p-adic groups

### Degrees

PhD in Theoretical mathematics, Department of Mathematics, Faculty of Science, University of Zagreb, 2019.

Doctoral thesis: Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup

MSc in Mathematics and Computer Science Education, Department of Mathematics, University of Osijek, Croatia, 2020

MSc in Theoretical mathematics, Department of Mathematics, Faculty of Science, University of Zagreb, Croatia, 2011

BSc in Mathematics, Department of Mathematics, University of Osijek, Croatia, 2009

### Publications

- D. Brajković Zorić, Aubert involution on the unitary dual of SO(7) supported on the minimal parabolic subgroup, Journal of the Ramanujan Mathematical Society
**38**/3 (2023), 195-213In this paper the Aubert duals of all irreducible unitarizable subquotients that form the unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup are found. With that, the conjecture stating that Aubert involution preserves unitarity has been confirmed for this case. - D. Brajković Zorić, Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup, Glasnik Matematički
**56**/1 (2021), 107-149In this paper, the unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup is determined. In explicit determination of the unitary dual the external approach is used, which represents the basic approach for finding the unitary dual, and consists of two main steps: a complete description of the non-unitary dual and the extraction of the classes of unitarizable representations among the obtained irreducible subquotients. We expect that our results will provide deeper insight into the structure of the unitary dual in the general case.

- D. Brajković Zorić, I. Kuzmanović Ivičić, M. Ribičić Penava, Matematičko natjecanje MathOS cup, Osječki matematički list
**22**/1 (2022), 81-89Cilj ovoga rada je predstaviti timsko natjecanje MathOS cup te dati pregled odabranih zadataka s rješenjima iz drugog kruga natjecanja MathOS cup 2022.

### Projects

- Unitarne reprezentacije, automorfne i modularne forme (Project leader: prof. dr. sc. Marcela Hanzer, University of Zagreb, Faculty of Science, Department of Mathematics. Project was funded in 2018 by the Croatian Science Foundation.)
- Composition series of induced representations of classical
*p*-adic groups (Project leader: izv.prof.dr.sc. Ivan Matić, University of Osijek, Department of Mathematics. Project run in 2015, supported by University of Osijek.) - Discrete series in generalized principal series (Diskretne serije u generaliziranim osnovnim serijama) (Project leader: izv.prof.dr.sc. Ivan Matić, University of Osijek, Department of Mathematics. Project run in 2013/14, supported by University of Osijek.)
- Automorphic forms, representations and applications (Project leader: akademik prof. dr. sc. Goran Muić, University of Zagreb, Faculty of Science, Department of Mathematics. Project was funded in 2014 by the Croatian Science Foundation.)

### Professional Activities

**Schools and Conferences**

- Building Bridges 5th EU/US Summer School and Workshop on Automorphic Forms and Related Topics (BB5), Sarajevo, BIH, August 2022
- Summer School on the Langlands Program (online), July 2022
- Workshop on “Arthur packets and related problems” (online), June 2022
- 7th CROATIAN MATHEMATICAL CONGRESS, Split, Croatia, June 2022
- 8ECM (online), June 2021
- Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy, A virtual conference, May 2021
- The 2020 Paul J. Sally, Jr. Midwest Representation Theory Conference, A virtual conference, October 2020
- ONLINE Zoom Conference on Representation Theory and Algebraic Analysis in honor of Joseph Bernstein on the occasion of his 75th birthday, May 2020
- Geometric methods in p-adic representation theory, Trinity College Dublin, Dublin, Ireland, July 2019
- Padova school on Serre conjectures and the p-adic Langlands program, Padova, Italy, May 2019
- p-adic Langlands Correspondence, Shimura Varieties and Perfectoids, CIRM, Marseille, France, July 2018
- Workshop: On some recent developments in local and global representation theory, Zagreb, Croatia, May 2018
- Representation Theory of Finite and p-adic Groups of Lie Type, CIRM, Marseille, France, November 2016
- Doctoral School: Introduction to Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms, CIRM, Marseille, France, May 2016
- Atkin Memorial Lecture and Workshop – Expansion in Linear Groups, University of Illinois at Chicago, Chicago, USA, May 2015
- Summer School: Gan-Gross-Prasad, Institut de mathématiques de Jussieu, Paris, France, June 2014
- Representations of p-adic groups; A conference dedicated to Marko Tadić on his 60th birthday, Zagreb, Croatia, June 2014.

**Service Activities**

- Rad s učenicima iz Matematičke gimnazije na složenijim matematičkim zadacima, 2022, 2023
- Organizacija MathOS Cup natjecanja, 2022, 2023
- Pripreme studenata za međunarodna matematička natjecanja, 2014, 2015, 2016, 2017, 2018
- Festival znanosti 2018, Žene u matematici
- Festival znanosti 2017, Euklidovi Elementi – 23 stoljeća matematičke Biblije
- Zimska matematička škola za učenike osnovnih škola (Winter math school), 2014., radionica – Dirichletov princip

### Teaching

**Nastavne aktivnosti u zimskom semestru Akademske 2022./2023.**

Linearna algebra 1, Odjel za fiziku

Matematika I, Građevinski i arhitektonski fakultet Osijek

**Nastavne aktivnosti u ljetnom semestru Akademske 2022./2023.**

Matematika II, Građevinski i arhitektonski fakultet Osijek

Nastavne aktivnosti u prošlim semestrima:

Geometrija ravnine i prostora, Matematika I i Matematika II – Prehrambeno-tehnološki fakultet, Matematika – Fakultet agrobiotehničkih znanosti Osijek, Linearna algebra II, Mjera i integral