Veronika Pedić Tomić
I am a postdoctoral researcher at the University of Zagreb, Croatia and my advisor is Professor Dražen Adamović.
My fields of interest are:- Vertex Operator Algebras,
- Mathematical Physics,
- Infinite-dimensional Lie algebras,
- Representation Theory.
Publications
- D. Adamovic, C. H. Lam, V. Pedic Tomic, N. Yu, On irreducibility of modules of Whittaker type: twisted modules and nonabelian orbifolds, arXiv:2212.14137[math.QA]
- K. Barron, K. Batistelli, F. Orosz Hunziker, V. Pedic Tomic, G. Yamskulna, On rationality of C-graded vertex algebras and applications to Weyl vertex algebras under conformal flow, Journal of Mathematical Physics 63 (2022), no. 9, 091706,25 pp., arXiv:2207.00638
- D. Adamovic, V. Pedic Tomic, Whittaker modules for gl and W_{1+∞}-modules which are not tensor products, Letters in Mathematical Physics 113 (2023), no. 2, 39 pp., arXiv:2112.08725
- D. Adamovic, V. Pedic, On fusion rules and intertwining operators for the Weyl vertex algebra, Journal of Mathematical Physics 60 (2019), no. 8, 081701, 18 pp., arXiv:1903.10248[math.QA]
- D. Adamovic, C. H. Lam, V. Pedic, N. Yu, On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras, Journal of Algebra 539 (2019) 1-23, arXiv:1811.04649[math.QA]
- V. Pedic, Whittaker modules and fusion rules for the Weyl vertex algebra, affine vertex algebras and their orbifolds, PhD thesis.
Invited talks
- June 25 - July 1, 2023, Representation Theory XVIII, Inter-University Centre, Dubrovnik, Croatia
Whittaker modules for gl and W1+∞-modules which are not tensor products
- October 21, 2021, Rocky Mountain Representation Theory Seminar, USA
Representation theory and fusion rules for Weyl vertex algebras and beyond
- September 21-24, 2021, Conference on vertex algebras and related topics, TU Darmstadt, Germany,
Beta-gamma ghost: Whittaker modules and fusion rules
- April 9-10, 2021, Vertex Operator Algebras and Related Topics, CUNY Graduate Center and New York City College of Technology, USA (online conference)
Weyl vertex algebra: Whittaker modules and fusion rules
- Nov 5, 2020, ISU algebra online seminar, University of Illinois, USA
Beta-gamma ghost: Whittaker modules and fusion rules
- Jun 23-29, 2019, Inter-University Centre, Dubrovnik, Croatia,
On irreducibility of Whittaker modules for cyclic orbifold vertex algebras and application to the Weyl algebra
- Jun 9-15, 2019, Nankai University, Tianjin, China,
On fusion rules for the Weyl vertex algebra modules
- Nov 21-23, 2018, University of Split, Split, Croatia,
On irreducibility of Whittaker modules for cyclic orbifold vertex algebras and application to the Weyl algebra
Contributed talks
- Nov 2, 2023, Cardiff University, Cardiff, UK,
Vertex (operator) algebras and their orbifolds
- Jun 15-18, 2022, University of Split, Split, Croatia,
Whittaker modules for gl and W1+∞–modules which are not tensor products
- Apr 21-23, 2021, University of Copenhagen, Copenhagen, Denmark,
Fusion rules for vertex algebras and applications (poster)
- Sep 21-22, 2020, BIRS, online conference, Banff, Canada
Fusion rules for the Beta-gamma system and Lie superalgebra gl(1,1) (poster)
- Aug 12-16, 2019, ETH, Zürich, Switzerland,
On fusion rules for the Weyl vertex algebra modules
- May 27-31 2019, University of Lille, Lille, France,
On fusion rules for the Weyl vertex algebra modules
- Feb 22, 2019, University of Zagreb, Zagreb, Croatia,
On irreducibility of Whittaker modules for cyclic orbifold vertex algebras and application to the Weyl algebra
- Jun 10-12, 2018, University of Georgia, Athens, USA,
Weight and Whittaker modules for the Weyl vertex algebra
Conferences
List of conferences I have attended or will attend.- Vertex Algebras, Infinite-dimensional Lie algebras and Related Topics, La Sapienza, Rome, Italy, Dec 11-15, 2023
- Women in Mathematical Physics II, BIRS, Banff, Canada, Aug 13-18, 2023
- Representation Theory XVIII, IUC, Dubrovnik, Croatia, Jun 18-Jul 1, 2023
- XV. International Workshop Lie theory and its applications in physics, Institute for Nuclear Research and Nuclear Energy, Varna, Bulgaria, Jun 19-25, 2023
- 7th Croatian Mathematical Congress, University of Split, Croatia, Jun 15-18, 2022
- International Workshop on Representation Theory, Vertex and Chiral Algebras, Rio de Janeiro, Brasil, Mar 21-25, 2022 (online)
- Conference on vertex algebras and related topics, Darmstadt, Germany, September 21-24, 2021
- Graduate student meeting on Applied Algebra and Combinatorics, Copenhagen, Denmark, April 21-23, 2021 (online conference)
- Vertex Operator Algebras and Related Topics, CUNY Graduate Center and New York City College of Technology, April 9-10, 2021
- Women in mathematical Physics, BIRS online conference, September 21-22, 2020
- Seminar zur konformen Feldtheorie, Darmstadt, Germany, Jan 17, 2020.
- Representation Theory and Integrable Systems, Zürich, Switzerland, Aug 12-16, 2019
- Representation Theory XVI, Dubrovnik, Croatia, Jun 23-29, 2019
- The Mathematical Foundations of Conformal Field Theory and Related Topics, Tianjin, China, Jun 10-14, 2019
- Geometric and automorphic aspects of W-algebras, Lille, France, May 27-31, 2019
- PMF Doctoral Student Symposium, Zagreb, Croatia, Feb 22, 2019
- Enhancing representation theory, noncommutative algebra and geometry workshop, Edinburgh, UK, Jan 31 - Feb 1, 2019
- Workshop on vertex algebras and infinite-dimensional Lie algebras, Split, Croatia, Nov 22-24, 2018
- Vertex Operator Algebras and Symmetries, Kyoto, Japan, Jul 9-13, 2018
- Vertex Operator Algebras and Conformal Field Theory, Kyoto, Japan, Jul 2-6, 2018
- Southeast Lie Theory Workshop X, Athens, GA, USA, Jun 10-12, 2018
- 2018 Summer School on Lie Theory, Athens, GA, USA, Jun 4-9, 2018
- Vertex algebras and related topics, Zagreb, Croatia, May 24-27, 2018
- Current Topics in the Theory of Algebraic Groups, Dijon, France, Jul 3-7, 2017
Organization
- PMF Doctoral Student Symposium, Zagreb, Croatia, Feb 28, 2020
- Algebra Seminar, University of Zagreb, 2018 - present
- Tournament of the towns - Croatia, Zagreb, Croatia, 2013-2015
Teaching
Algebraic curves, lecture notes.
Fall 2023 Spring 2022 Fall 2020 Fall 2019 Fall 2018 Spring 2018 Spring 2018- Probability and Statistics (FER)
- Mathematics 1 (FER)
Contact
Department of Mathematics,
Faculty of Science,
University of Zagreb, Croatia
E-mail: vpedic@math.hr
URL: http://web.math.hr/~vpedic/
Phone: (+385 1) 4605 789
Room: 310/III (3rd floor)
Inspired by w3-schools.