### Preprints

1.**A geometric realisation of tempered representations restricted to maximal compact subgroups**, with P. Hochs and S. Yu [

**arXiv**]

2.

**A KK-theoretic perspective on deformed Dirac operators**, with Y. Loizides and and R. Rodsphon [

**arXiv**]

3.

**Higher Orbit Integrals, Cyclic Cocyles, and K-theory of Reduced Group C*-algebra**, with X. Tang [

**arXiv**]

4.

**Spinc-Dirac operators and geometric quantization of b-symplectic manifolds**, with M. Braverman and Y. Loizides [

**arXiv**]

### Publications

1.**K-theory and the quantization commutes with reduction problem**, with N. Higson

*Chin. Ann. Math. Ser. B*35 (2015), pp. 703-732.

2.

**Dirac operators on quasi-Hamiltonian G-spaces**,

*J. Geom. Phys*106 (2016), pp. 70-86. [

**arXiv**]

3.

**An equivariant index for proper actions III: the invariant and discrete series indices**, with P. Hochs

*Differential Geom. Appl*49 (2016), pp. 1-22.[

**arXiv**]

4.

**An equivariant index for proper actions I**, with P. Hochs

J. Funct. Anal 272 (2017), no.2, pp. 661-704. [

**arXiv**]

5.

**A K-homological approach to the quantization commutes with reduction problem**,

*J. Geom. Phys*112 (2017), pp. 29-44. [

**arXiv**]

6.

**On the Vergne conjecture**, with P. Hochs

*Archiv der Mathematik*108 (2017), no. 1, 99-112.[

**arXiv**]

7.

**An equivariant index for proper actions II: properties and applications**, with P. Hochs

*J. Noncommut. Geom.*108 (2017), no. 1, 99-112. [

**arXiv**]

8.

**Equivariant indices of Spin^c-Dirac operators for proper moment maps**, with P. Hochs

*Duke Math. J.*166 (2017), no. 6, 1125-1178.[

**arXiv**]

9.

**Quantization of Hamiltonian loop group spaces**, with Y.Loizides

*Math. Ann*374 (2019), no. 1-2, 681-722 [

**arXiv**]

10.

**A geometric formula for multiplicities of K-types of tempered representations**, with P. Hochs and S. Yu

*Trans. Amer. Math. Soc.*To appear [

**arXiv**]

11.

**Spinor modules for Hamiltonian loop group spaces**, with Y.Loizides and E.Meinrenken

*J. Symplectic Geom.*To appear [

**arXiv**]

12.

**Witten deformation for Hamiltonian loop group spaces**, with Y. Loizides

*J. Funct. Anal.*To appear [

**arXiv**]