Invited Talks and Academic Presentations
My invited talks and research presentations span stochastic processes, information theory, and quantum theory. Topics include the mathematical foundations of quantum mechanics, quantum channel capacities, boundary-hitting distributions, molecular communication, and the information limits of non-Gaussian channels.
Academic Year 2026–2027 (AY 115)
3 November 2026 · Scheduled
Department of Applied Mathematics, National Yang Ming Chiao Tung University
From First-Hitting Locations to Gaussian Variance Mixtures: Channel Structure and Capacity Scaling
3 September 2026
NSTC Mathematics Research-Project Symposium, National Yang Ming Chiao Tung University
邊界如何形塑資訊？ From first-hitting laws to molecular communication and low-noise quantum channels
Research presentation on first-hitting laws, molecular communication, and low-noise quantum channels.
Academic Year 2025–2026 (AY 114)
14 and 16 April 2026
National Center for Theoretical Sciences, Mathematics Division
A Functional-Analytic Formulation of the Axioms of Quantum Mechanics
Invited two-part lecture series, with two 90-minute lectures on the functional-analytic foundations of quantum mechanics. The first lecture covered Hilbert spaces, operator domains, and the distinction between symmetric and self-adjoint operators. The second developed the spectral theorem, projection-valued measures, and Stone’s theorem, connecting these structures to quantum observables, measurement, and time evolution.
23 March 2026
Institute of Statistical Science, Academia Sinica
Information Limits of Geometry-Induced Non-Gaussian Laws: From Hitting Distributions to Variance Mixtures
Invited seminar on non-Gaussian probability laws induced by boundary-hitting observables of drift-diffusion processes. Topics included Gaussian variance-mixture representations, the connection between finite-variance distributions and the Cauchy limit, and high-SNR capacity asymptotics under second-moment constraints on the channel input.
5 November 2025
Department of Applied Mathematics, National University of Kaohsiung
Quantum Channel Capacities in the Low-Noise Regime: From Fundamentals to Superadditivity
Invited seminar introducing quantum channels and quantum capacity, followed by a discussion of low-noise behavior and superadditivity. The talk connected the basic mathematical framework with questions about the limits of quantum communication.
Academic Year 2024–2025 (AY 113)
29 April–2 May 2025 · Conference dates
Spring NSTC–NCTS–MRPC Joint Conference on Interdisciplinary Research
National Penghu University of Science and Technology
Hitting Position-based Molecular Communication: Channel Modeling and Information Capacity Analysis
Invited conference talk on molecular communication channels based on first-hitting positions. The talk developed the underlying channel models and examined how spatial arrival statistics determine noise distributions and information capacity.
27 December 2024
Department of Optics and Photonics, National Central University
Exploring the Super-additivity Effect of Quantum Capacity in Low-noise Quantum Channels
Invited seminar on quantum capacity and superadditivity in the low-noise regime. The talk explored how joint encoding across channel uses can affect achievable communication rates and discussed the theoretical significance of this behavior.
13 December 2024
Department of Communications Engineering, National Chung Cheng University
Unveiling Molecular Communication: Channel Modeling and Information Capacity Analysis
Invited seminar introducing diffusion-based molecular communication, analytical channel models, and information-theoretic methods. The talk examined how molecular transport and receiver observations shape channel behavior and fundamental transmission limits.