I am eager to join the Forum to engage with leading mathematicians and fellow researchers in a stimulating environment. My research lies at the intersection of global analysis, spectral geometry, and mathematical physics, with a focus on local index theory, Ray–Singer analytic torsion, topological invariants, Berezin–Toeplitz quantization, and the equidistribution of random zeros in the semiclassical limit. These topics connect deeply to dynamical flows on manifolds, representation theory of Lie groups, chaotic quantum systems, and geometric quantization in complex geometry.

Attending the Forum will provide a unique opportunity for me to exchange ideas, explore recent advances, and learn from experts whose work has shaped these fields. I am particularly interested in discussing how spectral methods, pluripotential theory, and random matrix techniques can further develop in the context of quantization and mathematical physics.

By participating, I hope to gain new insights, contribute to discussions, and build collaborations that transcend disciplinary boundaries. The Forum’s interdisciplinary nature aligns with my goal of fostering connections between analysis, geometry, and physics. I look forward to deepening my understanding and contributing to the broader mathematical community.

My research focuses on problems in global analysis on manifolds, particularly local index theory, Ray–Singer analytic torsion, topological invariants, Berezin–Toeplitz quantization, random holomorphic sections, and the equidistribution of zeros in the semiclassical limit. These topics are closely related, in spectral geometry, to geodesic flows on symmetric spaces and Selberg’s trace formula, as well as in mathematical physics, to chaotic quantum systems and geometric quantization in complex geometry.