Yiannis Loizides

**
**

I am a Postdoc in mathematics at
Pennsylvania State University.
My mentor is Nigel Higson.
Previously I was a PhD student in Toronto under the supervision of Eckhard Meinrenken.
My research interests are in symplectic geometry and index theory.

E-mail: yxl649 `at' psu `dot' edu

## Papers and preprints

Norm-square localization for Hamiltonian LG-spaces.
* J. Geom. and 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. Sympl. Geom.*, to appear.
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.
Geometric K-homology and the
Freed-Hopkins-Teleman theorem, * J. Noncommutative Geometry *, to appear.
The decomposition formula for Verlinde sums, with
E. Meinrenken, preprint (2018).
Semi-classical analysis
of piecewise quasi-polynomial functions, with P-E. Paradan and M. Vergne, preprint (2019).
A KK-theoretic perspective on deformed Dirac operators,
with R. Rodsphon and Y. Song, preprint (2019).
Geometric quantization of b-symplectic manifolds,
with M. Braverman and Y. Song, preprint (2019).
### Thesis pdf

## Slides

CMS summer meeting, June 2019, Quasi-polynomials, asymptotics and [Q,R]=0

Banff workshop on geometric quantization, April 2018, Geometric K-homology
and the Freed-Hopkins-Teleman theorem

CMS winter meeting, Dec 2016, [Q,R]=0 and Verlinde series

Penn State, Nov 2016, Quantization of Hamiltonian LG-spaces

Workshop on Geometric Quantization, July 2015, Norm-square localization for Hamiltonian LG-spaces

## Expository notes

Introductory notes on the Atiyah-Hirzebruch spectral sequence pdf

Subelliptic estimates and hypoelliptic Laplacian for T*S^1 pdf

Introduction to gerbes (2015) pdf

Transversally elliptic operators (2013) pdf

Moduli spaces of flat connections with boundary conditions (2012) pdf

Fock-Rosly Poisson structure (2013) pdf

Singularity theorems in GR (2009) pdf