Research    

Publications.

• On the composition of Berezin-Toeplitz operators on symplectic manifolds, Math. Z. 290 (2018), no. 1-2, 539–559, pdf / arxiv.

• Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds, with W. Lu, X. Ma and G. Marinescu, J. Geom. Anal 30 (2020), no. 3, 2615-2646, pdf / arxiv.

• Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula, Lett. Math. Phys. 110 (2020), 1585–1621, pdf / arxiv.

• Spectral aspects of the Berezin transform , with V. Kaminker, L. Polterovich and D. Shmoish, Ann. Henri Lebesgue 3 (2020), 1343-1387, pdf / arxiv.

• Berezin-Toeplitz quantization and the least unsharpness principle, with D. Kazhdan and L. Polterovich, Int. Math. Res. Not. 6 (2021), 4625-4656, pdf / arxiv.

• Geometric quantization of symplectic maps and Witten's asymptotic conjecture, Adv. Math. 387 (2021), 107840, 54 pages, pdf / arxiv.

• Quantization and isotropic submanifolds, Michigan Math. J. 71 (2022), no. 1, 177-220, pdf / arxiv.

• Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants, J. Funct. Anal. 282 (2022), no. 8, 109400, 58 pages, pdf / arxiv.

• Anticanonically balanced metrics on Fano manifolds, Ann. Global Anal. Geom. 62 (2022), 1-32, pdf / arxiv.

• Almost representations of Lie algebras and quantization, with D. Kazhdan and L. Polterovich, Amer. J. Math. 145 (2023), no. 5, 1587-1629, pdf / arxiv.

• Quantization of symplectic fibrations and canonical metrics, with L. Polterovich, Internat. J. Math. 34 (2023), no. 8, 2350043, 47 pages, pdf / arxiv.

Preprints.

• A Riemann-Roch formula for singular reductions by circle actions, with B. Delarue and P. Ramacher (2023), 51 pages, pdf / arxiv.

• Asymptotics of unitary matrix elements in canonical bases, (2024), 43 pages, pdf / arxiv.