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Yiannis Loizides

H.C. Wang Assistant Professor

Yiannis Loizides

581 Malott Hall

Educational Background

Ph.D. (2017), University of Toronto

Master of Advanced Study (2011), University of Cambridge

B.Sc. (2010) University of Waterloo



  • Mathematics


Index theory, noncommutative geometry, symplectic geometry, loop groups.



Spring 2022


  • Norm-square localization for Hamiltonian LG-spaces. J. Geom. Phys. 114 (2017), 420–449.
  • Quantization of Hamiltonian loop group spaces, with Y. Song. Mathematische Annalen, 374(1), (2019), 681–722.
  • Spinor modules for Hamiltonian loop group spaces, with E. Meinrenken and Y. Song. J. Symplectic Geometry, to appear. arXiv:1706.07493.
  • Quasi-polynomials and the singular [Q,R] = 0 theorem. SIGMA, 15, (2019), 090, 15 pages.
  • Norm-square localization and the quantization of Hamiltonian loop group spaces, with Y. Song. J. Functional Analysis, to appear. arXiv:1810.02347 (title changed).
  • Semi-classical analysis of piecewise quasi-polynomial functions, with P-E. Paradan and M. Vergne. arXiv:1907.01428.
  • A KK-theoretic perspective on deformed Dirac operators, with R. Rodsphon and Y. Song. Submitted. arXiv:1907.06150.
  • Geometric quantization of b-symplectic manifolds, with M. Braverman and Y. Song. Submitted. arXiv:1910.10016.
  • The decomposition formula for Verlinde sums, with E. Meinrenken. Submitted. arXiv:1803.06684.
  • Geometric K-homology and the Freed-Hopkins-Teleman theorem. Submitted. arXiv:1804.05213.