Staff Profile
Dr Martina Balagovic
Lecturer in Pure Mathematics
- Email: martina.balagovic@ncl.ac.uk
- Telephone: +44 (0) 191 208 5370
- Address: School of Mathematics, Statistics and Physics,
Newcastle University,
Newcastle upon Tyne,
NE1 7RU
Background
Areas of expertise
- Algebra
- Representation theory
Employment:
- Lecturer in School of Mathematics & Statistics, Newcastle University, 2016.-present
- Research Associate in School of Mathematics & Statistics, Newcastle University, 2014.-2016.
- Research Associate in Department of Mathematics, University of York, 2011.-2013.
Education:
- Ph.D. in Mathematics, Massachusetts Institute of Technology, September 2011.
- B. S. Department of Mathematics, University of Zagreb, December 2003.
SCOPUS: Click here.
Research
Research Interests
algebra, representation theory, quantum groups, quantum affine algebras, Kac-Moody algebras, double affine Hecke algebras and their degenerations, quantum symmetric pairs, Lie superalgebras, diagram algebras
PhD projects
Rational Cherednik algebras in positive characteristic and their representations
Publications
- Balagovic M, Daugherty Z, Entova-Aizenbud I, Halacheva I, Hennig J, Im MS, Letzter G, Norton E, Serganova V, Stroppel C. Translation Functors and Decomposition Numbers for the Periplectic Lie Superalgebra p(n). Mathematical Research Letters 2019, 26(3), 643-710.
- Balagovic M, Kolb S. Universal K-matrix for quantum symmetric pairs. Journal für die reine und angewandte Mathematik 2019, 2019(747), 299-353.
- Balagovic M, Kolb S. The bar involution for quantum symmetric pairs. Representation Theory 2015, 19, 186-210.
- Balagovic M, Jordan D. The Harish-Chandra isomorphism for quantum GL2. Journal of Noncommutative Geometry 2018, 12(3), 1161-1197.
- Balagovic M. Irreducible modules for the degenerate double affine Hecke algebra of type A as submodules of Verma modules. Journal of Combinatorial Theory, Series A 2015, 133, 97-138.
- Balagovic M. Degeneration of Trigonometric Dynamical Difference Equations for Quantum Loop Algebras to Trigonometric Casimir Equations for Yangians. Communications in Mathematical Physics 2015, 334(2), 629-659.
- Balagovic M, Chen H. Category O for rational Cherednik algebras Ht,c(GL2(Fp),h) in characteristic p. Journal of Pure and Applied Algebra 2013, 217(9), 1683–1699.
- Balagovic M, Chen H. Representations of rational Cherednik algebras in positive characteristic. Journal of Pure and Applied Algebra 2013, 217(4), 716–740.
- Balagovic M, Policastro C. Category O for the rational Cherednik algebra associated to the complex reflection group G12. Journal of Pure and Applied Algebra 2012, 216(4), 857–875.
- Balagovic M. Chevalley restriction theorem for vector-valued functions on quantum groups. Representation Theory 2011, 15, 617-645.
- Balagovic M, Puranik A. Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H3. Journal of Algebra 2014, 405, 259-290.
- Balagovic M, Balasubramanian A. On the lower central series quotients of a graded associative algebra. Journal of Algebra 2011, 328(1), 287-300.