# Akihiro Miyagawa

Department of mathematics in Kyoto University.

PhD student of Prof. Benoit Collins (from April 2021).

Email addres: miyagawa.akihiro.43v"at"st.kyoto-u.ac.jp (please replace "at" by the suitable character)

My interests: Operator algebra, Free probability.

Keywords: Free seimcircular elements, Full Fock space, q-Gaussians, q-deformed Fock space, Non-commutative rational function.

## Papers and Preprints

A. Miyagawa. A short note on strong convergence of $q$-Gaussians. arXiv:2306.16679, 2023.

A. Miyagawa, R. Speicher. A dual and conjugate system for $q$-Gaussians for all $q$. Advances in Mathematics, 413(15), 2023.

A. Miyagawa. A characterization of rationality for operators in free semicircular elements. Journal of Functional Analysis 283(8), 2022.

B. Collins, T. Mai, A. Miyagawa, F. Parraud, S. Yin. Convergence for noncommutative rational
functions evaluated in random matrices. Math. Ann. 2022.

## My talks (one can get the abstract from each website)

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 8th KTGU Mathematics Workshop for Young Researchers.

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).

## Education

2015-2019 BSc in Kyoto University.

2019-2021 MSc in Kyoto University.

2021- Doctral student in Kyoto University.

## Funding

2021 April - 2022 March. Advanced Quantum Technology Fellowship to Create the Future (Kyoto University)

2022 April - 2024, March. JSPS DC2.