Yusuke Sawada's web page
japanese page here
- E-mail
- m14017c[at]math.nagoya-u.ac.jp
- Affiliation
- Graduate School of Mathematics, Nagoya University
- Position
- Ph.D. Researcher
- Research Interest
- Operator Algebras
Curriculum Vitae
- 1991 January
- Born in Gifu
-
- 2014 March
- Bachelor of Sciences, Rikkyo University (supervisor:Professor Jimbo Michio)
- 2016 March
- Master of Mathematical Sciences, Nagoya University (supervisor:Professor Shigeru Yamagami)
- 2019 March
- Doctor of Mathematical Sciences, Nagoya University (supervisor:Professor Shigeru Yamagami)
- 2019 April
- Project Assistant Professor, Nagoya University
- 2020 April
- Ph.D. Researcher
-
Papers
Articles
- Y. Sawada, The affine property of quasi-free states on self-dual CAR algebras, Rep. Math. Phys., vol. 82 (2018). no. 3, pp. 303-310. arXiv: 1802.03161
- T. Ikkai, Y. Sawada, Hypergroups derived from random walks on some infinite graphs, Monatsh. Math., vol. 189 (2019), no. 2, pp. 321-353. arXiv: 1705.07566
- Y. Sawada, S. Yamagami, Notes on the bicategory of W*-bimodules, J. Math. Soc. Japan, vol. 71 (2019), no. 2, pp. 471-481. arXiv:1705.05600
- Y. Sawada, A remark on the minimal dilation of the semigroup generated by a normal UCP-map, Bull. Belg. Math. Soc. Simon Stevin, vol. 26 (2019), no. 2, pp.189-202. arXiv: 1705.09104
- Y. Sawada, A Connes correspondence approach to the dilation theory, Internat. J. Math., vol. 31 (2020), 2050040, 30pp.
- K. Endo, I. Mimura, Y. Sawada, Hypergroups and distance distributions of random walks on graphs, Math. Scand, vol. 127 (2021), no. 1, pp. 43-62. arXiv:2001.07925
Preprint
- Y. Sawada, Hypergroup structures of open quantum random walks on distance sets, preprint (2020). arXiv:2009.09166
- T. Ikkai, H. Ohno, Y. Sawada, The adjacency matrices and the transition matrices related to random walks on graphs, preprint (2020). arXiv:2012.11880
Talks
- On the dilation on C*-algebras, Quantum Analysis Seminar, Nagoya University, May 2015.
- On the dilation on W*-algebras, Quantum Analysis Seminar, Nagoya University, June 2015.
- On the dilation on W*-algebras2, Quantum Analysis Seminar, Nagoya University, Octorber 2015.
- Tensor category of W*-bimodules, Tensor Categories and Related Topics, Nagoya University, July 2016.
- On constructions of the dilation of the semigroup generated by a completely positive map, Junior Meeting on Functional Analysis 2016, Gunma University Kusatsu seminar house, August 2016.
- Area and Probability~Noncommutative integration~, Wave of Mathematical Science, Nagoya University, Octorber 2016.
- Hypergroups from random walks on graphs, Quantum Analysis Seminar, Nagoya University, May 2017.
- On the equivalence of the left and right relative tensor products, Quantum Analysis Seminar, Nagoya University, June 2017.
- On the equivalence of the left and right relative tensor products, Young Mathematicians in C*-algebras, The University of Copenhagen, August 2017.
- The tensor category of W*-bimodules, Junior Meeting on Functional Analysis 2017, Nara Women's University, August 2017.
- The bicategory of W*-bimodules, MSJ Autumn Meeting 2017, Yamagata University, September 2017 (jointly with Prof. Yamagami, talked by Sawada).
- Hypergroups and random walks on graphs, MSJ Autumn Meeting 2017, Yamagata University, September 2017 (jointly with Mr. Ikkai, talked by Ikkai).
- The bicategory of W*-bimodules, Operator algebra seminar, University of Tokyo, Octorber 2017.
- Notes on the bicategory of W*-bimodules, RIMS workshop Mathematical study on topological phases, RIMS, January 2018.
- The affine property of quasi-free states on self-dual CAR algebras, The 14th Mathematics Conference for Young Researchers, Hokkaido University, February 2018.
- Hypergroups derived from random walks on graphs, Research of Quantum Theory and Number Theory, Waseda University, March 2018.
- The affine property of quasi-free states on self-dual CAR algebras, MSJ Spring Meeting 2018, Tokyo University, March 2018.
- The affine property of quasi-free states on self-dual CAR algebras, The 7th International Conference on Matrix Analysis and Applications, Shinshu University, June 2018.
- On the constructions of dilations of CP_0-semigroups, MSJ Autumn Meeting 2018, Okayama University, September 2018.
- E0-semigroups and product systems of W*-bimodules, 7th Shinshu Functional Analysis Symposium, Shinshu University, December 2018.
- E0-semigroups, minimal dilations and product systems of W*-bimodules, Quantum Analysis Seminar, Nagoya University, December 2018.
- Hypergroups derived from random walks, Shinshu Mathematical Physics Seminar, Shinshu University, February 2019.
- E0-semigroups and product systems of W*-bimodules, The 15th Mathematics Conference for Young Researchers, Hokkaido University, March 2019.
- E0-semigroups and product systems of W*-bimodules, MSJ Spring Meeting 2019, Tokyo Institute of Technology, March 2019.
- E0-semigroups, dilations and product systems of W*-bimodules, Kyoto Operator Algebra Seminar, Kyoto University, July 2019.
- E0-semigroups, dilations and product systems of W*-bimodules, Recent Developments in Operator Algebras, RIMS, September 2019.
- E0-semigroups and product systems of W*-bimodules, Junior Meeting on Functional Analysis 2019, Community center at Futami-cho, September 2019.
- Hypergroups and random walks on graphs, Shinshu Mathematical Physics Seminar, Shinshu University, February 2020.
- Hypergroups and random walks on graphs, Quantum Analysis Seminar, Nagoya University, February 2020.
- Open quantum random walks and hypergroups, Shinshu Mathematical Physics Seminar, Shinshu University(Zoom online), September 2020.
- Distance distributions of random walks and open quantum random walks, Workshop on “Non-commutative Probability and Related Fields”, Zoom online, December 2020.
- Hypergroups and random walks on graphs, Conference in Honor of Professor Shigeru Yamagami's retirement, Nagoya University, February 2021.
Education
- Teaching Assistant, Nagoya University, April 2014-March 2018 (Lecture: linear algebra, calculus, complex analysis, Lebesgue integration and Fourier analysis).
- Super Teaching Assistant, Nagoya University, April 2018-September 2018 (Teaching assistant for a class with respect to linear algebra, calculus and topology for graduate students, with research funding).
- Part-time Lecturer, Department of Natural Science, Aichi Institute of Technology, April 2018-, (Lecture: linear algebra and calculus).
- Project Assistant Professor, Graduate School of Mathematics, Nagoya University, April 2019-March 2020, (Lecture: mathematical exercise)
- Part-time Lecturer, Aichi Gakuin University, April 2020-, (Lecture: calculus and statistics).
Research Funding
- Student Project "Operator algebras and thier application to quantum physics", Nagoya University, April 2016-March 2017.
- Student Project "Operator algebras and tensor categories", Nagoya University, April 2017-March 2018.
- JSPS Grant-in-Aid for Research Activity Start-up "Classification of E0-semigroups and W*-semigroups", August 2019-March 2021.
Others
- The Dai-ichi Life Insurance Company Scholarship, Rikkyo University, December 2012.
- Representative of the graduates, Rikkyo University, March 2014
- Award of Master's Thesis, Graduate School of Mathematics, Nagoya University, March 2016.
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