Ivana Vukorepa

I am a postdoctoral researcher at Department of Mathematics, Faculty of Science, University of Split (Croatia).
My advisors are professors Dražen Adamović and Ozren Perše.

My fields of interest are:

Vertex algebras,
Infinite-dimensional Lie algebras,
Representation Theory.

Here is my Curriculum Vitae.

Publications

D. Adamović, O. Perše, I. Vukorepa, A method for describing the maximal ideal in universal affine vertex algebras at non-admissible levels, arXiv:2402.14722 [math.QA]
D. Adamović, T. Creutzig, O. Perše, I. Vukorepa, Tensor category $KL_k(sl(2n))$ via minimal affine W-algebras at the non-admissible level $k=-(2n+1)/2$, to appear in Journal of Pure and Applied Algebra, arXiv:2212.00704 [math.QA]
D. Adamović, O. Perše, I. Vukorepa, On the representation theory of the vertex algebra $L_{-5/2}(sl(4))$, Communications in Contemporary Mathematics (2021), arXiv:2103.02985 [math.QA]
I. Vukorepa, Affine vertex algebras of type A beyond admissible levels, 2022, PhD thesis

Conferences

Vertex algebras, geometric representation theory and quantum groups, CIRM, France, June 10-14, 2024
Vertex algebras, infinite dimensional Lie algebras and related topics, Rome, Italy, December 11 - December 15, 2023
Representation Theory XVIII, Dubrovnik, Croatia, June 18 - July 1, 2023
Interactions between Mathematics and Physics, Rome, Italy, May 29 - June 1, 2023
Mini-workshop on vertex algebras and applications, Zagreb, Croatia, March 18, 2023
Representation Theory XVII, Dubrovnik, Croatia, October 3-8, 2022
Special week on Infinite dimensional Lie algebras and related structures, Rome, Italy, September 4-9, 2022
7th Croatian Mathematical Congress, Split, Croatia, June 15-18, 2022
Vertex algebras and Representation Theory, CIRM, France, June 6-10, 2022
5th Faculty of Science PhD Student Symposium, Zagreb, Croatia, April 24-25, 2021 (poster)
Representation Theory XVI, Dubrovnik, Croatia, June 23-29, 2019
Geometrical and automorphic aspects of W-algebras, Lille, France, May 27-31, 2019
Vertex algebras and infinite dimensional Lie algebras, Split, Croatia, November 22-25, 2018

Invited talks

June 11, 2024, CIRM, France
Classification of irreducible modules for the affine vertex algebra L_{-(2n+1)/2}(sl(2n)) in certain categories
December 13, 2023, Rome, Italy
Classification of irreducible modules for the affine vertex algebra L_{-(2n+1)/2}(sl(2n)) in certain categories
July 1, 2023, Dubrovnik, Croatia
New semi-simple categories on affine vertex algebras at non-admissible levels
May 25, 2023, Rocky Mountain Representation theory seminar
Tensor category KL_k(sl(2n)) via minimal affine W--algebras at the non-admissible level k=−(2n+1)/2
March 18, 2023, Zagreb, Croatia
Tensor category KL_k(sl(2n)) via minimal affine W--algebras at the non-admissible level k=−(2n+1)/2
October 6, 2022, Dubrovnik, Croatia
On the representation theory of the affine sl(4) at level -5/2 and application to the higher ranks
September 7, 2022, Rome, Italy
On the representation theory of the vertex algebra $L_{-5/2}(sl(4))$
June 9, 2022, CIRM, France
On the representation theory of the vertex algebra $L_{-5/2}(sl(4))$

Teaching

2020-2024

2019/2020

2018/2019

Elementary number theory

Contact

E-mail: ivukorepa@pmfst.hr
Department of Mathematics
Faculty of Science
University of Split
Rudera Boskovica 33
Split, Croatia
Room: B3-65
Phone: +385 21 619 249