My invited talks cover topics in quantum information theory, mathematical physics, stochastic channel modeling, molecular communication, and information-theoretic limits of non-Gaussian communication systems.
2026 / 4 / 14 and 2026 / 4 / 16
National Center for Theoretical Sciences, Mathematics Division
Title: A Functional-Analytic Formulation of the Axioms of Quantum Mechanics
Invited two-part lecture series, 90 minutes each. This series revisited the axioms of quantum mechanics from the viewpoint of functional analysis. The first lecture introduced Hilbert spaces, linear operators, symmetric and self-adjoint operators, and the role of domains in infinite-dimensional quantum theory. The second lecture focused on the spectral theorem, projection-valued measures, Stone’s theorem, quantum observables, and the mathematical structure behind quantum measurement.
2026 / 3 / 23
Institute of Statistical Science, Academia Sinica
Title: Information Limits of Geometry-Induced Non-Gaussian Laws: From Hitting Distributions to Variance Mixtures
Invited seminar at the Institute of Statistical Science, Academia Sinica. This talk introduced a geometric and statistical framework for non-Gaussian probability laws induced by boundary-hitting observables of drift-diffusion processes. The talk discussed Gaussian variance-mixture representations, the transition from finite-variance regimes to the Cauchy limit, and high-SNR capacity asymptotics under second-moment constraints.
2025 / 11 / 5
Department of Applied Mathematics, National University of Kaohsiung
Title: Quantum Channel Capacities in the Low-Noise Regime: From Fundamentals to Superadditivity
Invited departmental seminar on quantum channel capacities in the low-noise regime. The talk introduced basic notions of quantum channels and quantum capacity, and discussed the emergence of superadditivity phenomena in low-noise quantum channels.
2025 / 4 / 29 – 2025 / 5 / 2, Spring NSTC–NCTS–MRPC Joint Conference on Interdisciplinary Research
National Penghu University of Science and Technology
Title: Hitting Position-based Molecular Communication: Channel Modeling and Information Capacity Analysis
Invited conference talk on hitting-position-based molecular communication. The talk presented channel modeling and information capacity analysis for molecular communication systems in which the receiver observes not only arrival time, but also the spatial position of first-arrival or first-hitting events.
2024 / 12 / 27
Department of Optics and Photonics, National Central University
Title: Exploring the Super-additivity Effect of Quantum Capacity in Low-noise Quantum Channels
Invited seminar on the superadditivity effect of quantum capacity in low-noise quantum channels. The talk discussed the theoretical significance of superadditivity and its implications for quantum communication theory.
2024 / 12 / 13
Department of Communications Engineering, National Chung Cheng University
Title: Unveiling Molecular Communication: Channel Modeling and Information Capacity Analysis
Invited seminar on molecular communication, channel modeling, and information capacity analysis. The talk introduced diffusion-based molecular communication systems, mathematical channel models, and information-theoretic approaches to understanding the limits of molecule-based signaling.
115 / 4 / 14-16（國家理論科學研究中心 數學組)
講題： A Functional-Analytic Formulation of the Axioms of Quantum Mechanics
受邀進行系列專題演講（兩場，各 90 分鐘），從泛函分析觀點重新審視量子力學公理，涵蓋自伴算子、譜測度與投影值測度等核心數學結構。第一場（4/14）介紹 Hilbert 空間、算子理論與自伴性；第二場（4/16）介紹譜定理、PVM、Stone 定理與可觀測量理論。
115 / 3 / 23（中央研究院 統計科學研究所）
講題： Information Limits of Geometry-Induced Non-Gaussian Laws: From Hitting Distributions to Variance Mixtures
受邀至中央研究院統計科學研究所進行專題演講，介紹由漂移–擴散過程之邊界擊中觀測量所誘導的非高斯機率分布，並說明其 Gaussian variance-mixture 表示、由有限變異過渡至 Cauchy 極限的幾何結構，以及在二次矩限制下的高訊雜比容量漸近結果。
114 / 11 / 5（國立高雄大學 應用數學系）
講題： Quantum Channel Capacities in the Low-Noise Regime: From Fundamentals to Superadditivity
受邀至國立高雄大學應用數學系進行專題演講，介紹低雜訊量子通道容量的理論基礎與超加性現象。
114 / 4 / 29 – 5 / 2（澎湖科技大學）
講題： Hitting Position-based Molecular Communication: Channel Modeling and Information Capacity Analysis
參與 2025 Spring NSTC–NCTS–MRPC Joint Conference on Interdisciplinary Research，報告以「到達位置為基礎的分子通訊模型」為主題的研究成果。
113 / 12 / 27（國立中央大學 光電科學與工程學系）
講題： Exploring the Super-additivity Effect of Quantum Capacity in Low-noise Quantum Channels
受邀至中央大學光電系分享量子容量在低雜訊條件下的超加性效應及其理論意涵。
113 / 12 / 13（國立中正大學 通訊工程學系）
講題： Unveiling Molecular Communication: Channel Modeling and Information Capacity Analysis
受邀至中正大學通訊系進行演講，介紹分子通訊的系統模型與容量分析方法。