Postdoc in the Department of Mathematics at UCSD, hosted by Prof. Todd Kemp.
I am supported by JSPS Overseas Fellowship and NSF grant of the host.
Email address: amiyagwa"あっと"ucsd.edu
If this is not available, please use akihiromiyagawa85"あっと"gmail.com (replace "あっと" by the suitable character)
My email address at Kyoto University is no longer available.
My interests: Functional Analysis, Operator Algebras, Free Probability.
Keywords: Free Euler equation, Non-commutative divergence-free vector fields (free divergence-free vector fields), Free seimcircular elements, Full Fock space, q-Gaussians, q-deformed Fock space, Non-commutative rational function.
2015-2019 BSc in Kyoto University.
2019-2021 MSc in Kyoto University (supervised by Prof. Benoit Collins).
2021-2024 PhD in Kyoto University (supervised by Prof. Benoit Collins).
I got my PhD degree of Department of Mathematics in Kyoto University in March 25, 2024.
Benoit Collins, Akihiro Miyagawa. Operator-valued Khintchine inequality for ε-free semicircles, 2025
Todd Kemp, Akihiro Miyagawa. The strong Haagerup inequality for q-circular systems, arXiv preprint 2409.03177, 2024
Hyuga Ito, Akihiro Miyagawa. A note on free divergence-free vector fields, C. R.
Math. Paris, Vol. 362 (2024), pp. 1545-1554.
2025
March 10, Topics around the q-Gaussian system. CIMAT Probability seminar.
January 28, Strong Haagerup inequality for q-circular operators, UCSD Functional Analysis seminar.
January 7, Q-deformation of independent Gaussian random variables in non-commutative probability, UCSD Combinatorics seminar.
2024
October 25, 2024, Strong Haagerup inequality for q-circular systems, Analysis seminar at the University of Houston.
October 10, 2024, Strong Haagerup inequality for q-circular systems, CIRM workshop: Algebraic Aspects of Random Matrices.
September 16, Voiculescu's non-commutative divergence-free vector fields, UC Berkeley Probabilistic Operator Algebra Seminar (online).
September 12, On the strong Haagerup inequality, Recent Developments in Operator Algebras at RIMS.
March 7, Free probabilistic analysis for q-Gaussians (poster presentation), French Japanese Conference on Probability & Interactions at IHES.
January 9, Rationality in free semicircular operators, Kyoto Operator Algebra Seminar.
2023
November 17, Recent progress on q-Gaussians. Workshop on Operator Algebras and Applications: Free Probability at Fields Institute.
October 29, Strong convergence of q-Gaussians with respect to the parameter q. Non-Commutative Probability and Related Topics 2023.
October 25, A characterization of rationality in free semicircular operators, 量子解析セミナー, 名古屋大学.
October 14, 多変数 q ガウス分布と自由確率論, 異分野・異業種研究交流会 2023.
March 20, Convergence for non-commutative rational functions evaluated in random matrices. UC Berkeley Probabilistic Operator Algebra Seminar.
March 7, The conjugate system for the q-Gaussians. UCSD Functional Analysis Seminar.
January 30-31, The conjugate system for the q-Gaussians, The 8th KTGU Mathematics Workshop for Young Researchers.
January 9 - 12, The q-Gaussians and the conjugate system (Talk and Poster presentation), NCTS East Asia Core Doctoral Forum in Mathematics
2022
November 7, The conjugate system for the q-Gaussians. Non-Commutative Probability and Related Topics 2022 (online).
September 5, Free analysis of the q-Gaussian, Recent Developments in Operator Algebras, RIMS
June 29, The conjugate system for q-Gaussians, 量子解析セミナー, 名古屋大学.
June 7, The conjugate system for the q-Gaussians, RMMC Summer School, Wyoming.
May 31, The conjugate system for the q-Gaussians, Kyoto Operator Algebra Seminar.
April 6, The conjugate system for q-Gaussians, UCLA functional analysis seminar (online). My slides
March 3, A characterization of rationality for operators in free semicircular elements, The 18th Mathematics Conference for Young Researchers (online).
January 11, Rationality for operators in free semicircular elements, Tokyo-Kyoto Joint Online Operator Algebra Seminar. My slides
2021
October 27, Rationality for operators obtained from free semicircular elements, Seoul operator algebra seminar (online).
October 18, Rationality for operators obtained from free semicircular elements, UC Berkeley Probablistic Operator Algebra Seminar (online).
February 16, Convergence for non-commutative rational functions evaluated in random matrices, The 6th KTGU Mathematics Workshop for Young Researchers (online).
2021 April - 2022 March. Advanced Quantum Technology Fellowship to Create the Future (Kyoto University)
2022 April - 2024 March. JSPS DC2.
2024 May - 2026 April. JSPS Overseas Fellowship.
2024, September, MSJ Takebe Katahiro Prize for Encouragement of Young Researchers "The analysis of q-deformation and rational functions in free probability theory"
2024 April 1 - 2024 April 30, Research Fellow (Partime) at Kyoto university supportd by JSPS grant of Benoit Collins
2024 May 1 - current, UCSD Postdoctral Fellow