Mao HOSHINO/星野 真生

Department of Mathematical Sciences
The University of Tokyo
3-8-1 Komaba, Tokyo, 153-8914
Japan

Email: mhoshino (a) ms.u-tokyo.ac.jp

About me

I am a Ph.D. student in mathematics, supervised by Prof. Yasuyuki Kawahigashi.
My interest is in quantum groups, representation theory and operator algebras.

• Finite index quantum subgroups of discrete quantum groups, arXiv:2503.14044.

Accepted

1. Polynomial families of quantum semisimple coadjoint orbits via deformed quantum enveloping algebras, Comm. Math. Phys. 406 (2025), no. 8.
   DOI:10.1007/s00220-024-05172-7, arXiv:2407.09765.
2. (with K. Kitamura) A note on quantum subgroups of free quantum groups, C. R. Math. Acad. Sci. Paris. 362 (2024), 1327-1330.
   DOI:10.5802/crmath.641, arXiv:2403.11151.
3. The automatic imprimitivity for G_q, J. Funct. Anal. 286 (2024), no. 12, 110413.
   DOI:10.1016/j.jfa.2024.110413.

Talks

• Equivariant quantum covering spaces over quantum homogeneous spaces, Operator Algebra Seminar, The University of Tokyo, Japan, December 2022.
• Equivariant quantum covering spaces over quantum homogeneous spaces, Annual Meeting on Operator Theory/Operator Algebras, Osaka Kyoiku University, Japan, December 2022.
• Equivariant quantum covering spaces over quantum homogeneous spaces, Quantum Groups Seminar, online, March 2023.
• Equivariant quantum covering spaces over quantum homogeneous spaces, Japan-Netherlands Joint Seminar: Index Theory and Operator Algebras in Topological Physics, Online, March 2023.
• Equivariant quantum covering spaces over quantum homogeneous spaces, Quantum Analysis Seminar, Nagoya University, Japan, March 2023.
• Equivariant quantum covering spaces over quantum homogeneous spaces, Kyoto Operator Algebra Seminar, Kyoto University, Japan, April 2023.
• Finite index quantum subgroups of DQGs, Junior Meetings on Functional Analysis, Kyoto Institute of Technology, Kyoto, Japan, September 2023.
• Finite index quantum subgroups of DQGs, Operator Algebra Seminar, The University of Tokyo, Japan, December 2023.
• A construction of quantum flag manifolds via deformed quantized enveloping algebras, The 20th Mathematics Conference for Young Researchers, Hokkaido University, Japan, March 2024.
• Polynomial families of quantum flag manifolds via deformed quantum enveloping algebras, The University of Tokyo, Japan, June 2024.
• Polynomial families of quantum flag manifolds via deformed quantum enveloping algebras, Kyoto University, Japan, July 2024.
• Polynomial families of quantum semisimple coadjoint orbits via deformed QEAs, Nagoya University, Japan, July 2024.
• Deformed quantum enveloping algebras and its application to quantized semisimple coadjoint orbits, Seminar on Quantum groups, Hopf algebras and monoidal categories, Vriji Universiteit Brussel, Belgium, November 2024.
• Deformed QEAs and their applications to quantum flag manifolds, Group Theory Around Operator Algebras, Kyoto University, Japan, January, 2025.
• A categorical perspective on non-formal equivariant quantization, CREST seminar, online, February, 2025.

Poster

• The automatic imprimitivity for G_q, OAS Follow on: Operator Algebras: Subfactors and Applications, Isaac Newton Institute, UK, June 2023.