# 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.
## Preprints

A. Miyagawa, R. Speicher. A dual and conjugate system for $q$-Gaussians for all $q$. arXiv:2203.00547, 2022.

A. Miyagawa. A characterization of rationality for operators in free semicircular elements. arXiv:2109.08841, 2021.

B. Collins, T. Mai, A. Miyagawa, F. Parraud, S. Yin. Convergence for noncommutative rational
functions evaluated in random matrices. arXiv:2103.05962, 2021.

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

2022

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 obtainecd from free seimcircular elements, Seoul operator algebra seminar (online).

October 18, Rationality for operators obtainecd from free seimcircular 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).