School of Mathematics and Statistics

  • Room: 158
  • Building: Peter Hall Building
  • Campus: Parkville

Research Interests

  • Representation theory
  • Algebraic geometry
  • Algebraic analysis

Research Groups

Recent Publications

  • J Taskinen, K. Vilonen. Cartan Theorems for Stein Manifolds Over a Discrete Valuation Base. The Journal of Geometric Analysis, 577-615, 2018. doi: 10.1007/s12220-018-0012-8.

  • TH Chen, K. Vilonen, T. Xue. Springer correspondence for the split symmetric pair in type A. Compositio Mathematica, 154, 2403-2425, 2018. doi: 10.1112/S0010437X18007443.

  • I Mirkovic, K. Vilonen. Erratum: Geometric Langlands duality and representations of algebraic groups over commutative rings [Annals of Mathematics, 188, 3, (2018) (1017-1018)] Doi: 10.4007/annals.2007.166.95. Annals of Mathematics, 188, 1017-1018, 2018. doi: 10.4007/annals.2018.188.3.6.

  • Tsao-Hsien Chen, K. Vilonen, T. Xue, Dennis Stanton. On the cohomology of Fano varieties and the Springer correspondence. Advances in Mathematics, 318, 515-533, 2017. doi: 10.1016/j.aim.2017.08.008.

  • K. Vilonen, T. Xue. The null-cone and cohomology of vector bundles on flag varieties. Representation Theory, 20, 482-498, 2016. doi: 10.1090/ert/491.

View all

Recent Grant History

Year(s) Source Type Title
2018 - 2020 ARC Discovery Real Groups, Hodge Theory, and the Langlands Program
2015 - 2019 ARC Discovery Geometric methods in representation theory and the Langlands program


  • Strategic Planning Committee
  • Visiting Scholar (Fund) Committee