School of Mathematics and Statistics

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

Research Interests

  • Algebraic analysis
  • Algebraic geometry
  • Representation Theory

Research Groups

Recent Publications

  • J Taskinen, K. Vilonen. Cartan Theorems for Stein Manifolds Over a Discrete Valuation Base. The Journal of Geometric Analysis, 1-39, 2018. doi: 10.1007/s12220-018-0012-8.

  • 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.

  • W Schmid, K. Vilonen. Hodge theory and unitary representations. 312, 443-453, Springer International Publishing, 2015. doi: 10.1007/978-3-319-23443-4_16.

  • Masaki Kashiwara, K. Vilonen. Microdifferential systems and the codimension-three conjecture. Annals of Mathematics, 180, 573-620, 2014. doi: 10.4007/annals.2014.180.2.4.

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