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
  1. 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
  2. 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
  3. 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
  4. 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
  5. Y. Sawada, A Connes correspondence approach to the dilation theory, Internat. J. Math., vol. 31 (2020), 2050040, 30pp.
  6. 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
  1. Y. Sawada, Hypergroup structures of open quantum random walks on distance sets, preprint (2020). arXiv:2009.09166
  2. 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

  1. On the dilation on C*-algebras, Quantum Analysis Seminar, Nagoya University, May 2015.
  2. On the dilation on W*-algebras, Quantum Analysis Seminar, Nagoya University, June 2015.
  3. On the dilation on W*-algebras2, Quantum Analysis Seminar, Nagoya University, Octorber 2015.
  4. Tensor category of W*-bimodules, Tensor Categories and Related Topics, Nagoya University, July 2016.
  5. 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.
  6. Area and Probability~Noncommutative integration~, Wave of Mathematical Science, Nagoya University, Octorber 2016.
  7. Hypergroups from random walks on graphs, Quantum Analysis Seminar, Nagoya University, May 2017.
  8. On the equivalence of the left and right relative tensor products, Quantum Analysis Seminar, Nagoya University, June 2017.
  9. On the equivalence of the left and right relative tensor products, Young Mathematicians in C*-algebras, The University of Copenhagen, August 2017.
  10. The tensor category of W*-bimodules, Junior Meeting on Functional Analysis 2017, Nara Women's University, August 2017.
  11. The bicategory of W*-bimodules, MSJ Autumn Meeting 2017, Yamagata University, September 2017 (jointly with Prof. Yamagami, talked by Sawada).
  12. Hypergroups and random walks on graphs, MSJ Autumn Meeting 2017, Yamagata University, September 2017 (jointly with Mr. Ikkai, talked by Ikkai).
  13. The bicategory of W*-bimodules, Operator algebra seminar, University of Tokyo, Octorber 2017.
  14. Notes on the bicategory of W*-bimodules, RIMS workshop Mathematical study on topological phases, RIMS, January 2018.
  15. The affine property of quasi-free states on self-dual CAR algebras, The 14th Mathematics Conference for Young Researchers, Hokkaido University, February 2018.
  16. Hypergroups derived from random walks on graphs, Research of Quantum Theory and Number Theory, Waseda University, March 2018.
  17. The affine property of quasi-free states on self-dual CAR algebras, MSJ Spring Meeting 2018, Tokyo University, March 2018.
  18. 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.
  19. On the constructions of dilations of CP_0-semigroups, MSJ Autumn Meeting 2018, Okayama University, September 2018.
  20. E0-semigroups and product systems of W*-bimodules, 7th Shinshu Functional Analysis Symposium, Shinshu University, December 2018.
  21. E0-semigroups, minimal dilations and product systems of W*-bimodules, Quantum Analysis Seminar, Nagoya University, December 2018.
  22. Hypergroups derived from random walks, Shinshu Mathematical Physics Seminar, Shinshu University, February 2019.
  23. E0-semigroups and product systems of W*-bimodules, The 15th Mathematics Conference for Young Researchers, Hokkaido University, March 2019.
  24. E0-semigroups and product systems of W*-bimodules, MSJ Spring Meeting 2019, Tokyo Institute of Technology, March 2019.
  25. E0-semigroups, dilations and product systems of W*-bimodules, Kyoto Operator Algebra Seminar, Kyoto University, July 2019.
  26. E0-semigroups, dilations and product systems of W*-bimodules, Recent Developments in Operator Algebras, RIMS, September 2019.
  27. E0-semigroups and product systems of W*-bimodules, Junior Meeting on Functional Analysis 2019, Community center at Futami-cho, September 2019.
  28. Hypergroups and random walks on graphs, Shinshu Mathematical Physics Seminar, Shinshu University, February 2020.
  29. Hypergroups and random walks on graphs, Quantum Analysis Seminar, Nagoya University, February 2020.
  30. Open quantum random walks and hypergroups, Shinshu Mathematical Physics Seminar, Shinshu University(Zoom online), September 2020.
  31. Distance distributions of random walks and open quantum random walks, Workshop on “Non-commutative Probability and Related Fields”, Zoom online, December 2020.
  32. Hypergroups and random walks on graphs, Conference in Honor of Professor Shigeru Yamagami's retirement, Nagoya University, February 2021.

Education

  1. Teaching Assistant, Nagoya University, April 2014-March 2018 (Lecture: linear algebra, calculus, complex analysis, Lebesgue integration and Fourier analysis).
  2. 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).
  3. Part-time Lecturer, Department of Natural Science, Aichi Institute of Technology, April 2018-, (Lecture: linear algebra and calculus).
  4. Project Assistant Professor, Graduate School of Mathematics, Nagoya University, April 2019-March 2020, (Lecture: mathematical exercise)
  5. Part-time Lecturer, Aichi Gakuin University, April 2020-, (Lecture: calculus and statistics).

Research Funding

  1. Student Project "Operator algebras and thier application to quantum physics", Nagoya University, April 2016-March 2017.
  2. Student Project "Operator algebras and tensor categories", Nagoya University, April 2017-March 2018.
  3. JSPS Grant-in-Aid for Research Activity Start-up "Classification of E0-semigroups and W*-semigroups", August 2019-March 2021.

Others

  1. The Dai-ichi Life Insurance Company Scholarship, Rikkyo University, December 2012.
  2. Representative of the graduates, Rikkyo University, March 2014
  3. Award of Master's Thesis, Graduate School of Mathematics, Nagoya University, March 2016.