Staff Profile

Areas of expertise

• Algebra
• Representation Theory

Employment: 

• Newcastle University, 2014.-present
• University of York, 2011.-2013.

Education:

• Ph.D. in Mathematics, Massachusetts Institute of Technology, September 2011.
• BSc. Department of Mathematics, University of Zagreb, December 2003.

SCOPUS: Click here.

Google Scholar

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

Teaching in 2024/2025:

• Logic, Sets and Counting MAS1701
• Groups and Discrete Mathematics MAS2708
• Representation Theory MAS3709/8709
• Representations of Groups MAGIC075

• Articles

  • Balagovic M, Barnes J. Representations of the Rational Cherednik Algebra H_t,c(S₃, h) in positive characteristic. Journal of Algebra 2025, 622, 307-406.
  • Balagovic M, Daugherty Z, Entova-Aizenbud I, Halacheva I, Hennig J, Im MS, Letzter G, Norton E, Serganova V, Stroppel C. The affine VW supercategory. Selecta Mathematica 2020, 26, 20.
  • 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, 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, Jordan D. The Harish-Chandra isomorphism for quantum GL₂. Journal of Noncommutative Geometry 2018, 12(3), 1161-1197.
  • Balagovic M, Kolb S. The bar involution for quantum symmetric pairs. Representation Theory 2015, 19, 186-210.
  • 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, Puranik A. Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H₃. Journal of Algebra 2014, 405, 259-290.
  • 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, 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, 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, Balasubramanian A. On the lower central series quotients of a graded associative algebra. Journal of Algebra 2011, 328(1), 287-300.
  • Balagovic M. Chevalley restriction theorem for vector-valued functions on quantum groups. Representation Theory 2011, 15, 617-645.