personal website
Academic interests
operator algebras, quantum groups, and noncommutative geometry.
Past and upcoming courses
- 2018 Autumn: Representation Theory (MAT4270 / MAT9270)
- 2019 Spring: Advanced Functional Analysis (MAT4450)
- 2019 Autumn: Representation Theory (MAT4270 / MAT9270)
- 2020 Spring: Topics in Operator Algebras (MAT9390)
- 2020 Autumn: Advanced Linear Analysis (MAT4410)
- 2021 Spring: Algebraic Topology I (MAT4530)
- 2021 Autumn: Representation Theory (MAT4270 / MAT9270)
- 2022 Spring: Quantum Computing (MAT3420)
- 2022 Autumn: Topology (MAT3500/MAT4500)
- 2023 Spring: Algebraic Topology I (MAT4530)
- 2024 Spring: Topics in Operator Algebras (MAT9390)
Background
- 2011 PhD, the University of Tokyo
- 2011 Postdoc, Cardiff University
- 2011 Postdoc, University of Rome Tor Vergata
- 2012-2018 Assistant / Associate Professor, Ochanomizu University
Awards
- MSJ Takebe Katahiro Prize, The Mathematical Society of Japan (September 2016)
- The Young Scientists’ Prize (Japanese Description), The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology (April 2018)
Preprints
- with V. Proietti; Homology and K-theory of dynamical systems. IV. Further structural results on groupoid homology (arXiv:2310.09928)
- with V. Proietti; Homology and K-theory of dynamical systems. III. Beyond stably disconnected Smale spaces (arXiv:2207.03118)
- with L. Hataishi; Injectivity for algebras and categories with quantum symmetry (arXiv:2205.06663)
Tags:
Mathematics,
Operator algebras,
Quantum groups,
Noncommutative geometry,
Belgium
Publications
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Proietti, Valerio & Yamashita, Makoto
(2023).
Homology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal.
Journal of Noncommutative Geometry.
ISSN 1661-6952.
17(3),
p. 957–998.
doi:
10.4171/JNCG/494.
Full text in Research Archive
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De Commer, Kenny; Neshveyev, Sergiy; Tuset, Lars & Yamashita, Makoto
(2023).
Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals.
Forum of Mathematics, Pi.
ISSN 2050-5086.
11.
doi:
10.1017/fmp.2023.11.
Full text in Research Archive
Show summary
We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enriquez–Etingof cyclotomic Knizhnik–
Zamolodchikov (KZ) equations and the other on the Letzter–Kolb coideals. This equivalence can be upgraded to
that of ribbon braided quasi-coactions, and then the associated reflection operators (K-matrices) become a tangible
invariant of the quantization. As an application we obtain a Kohno–Drinfeld type theorem on type B braid group
representations defined by the monodromy of KZ-equations and by the Balagović–Kolb universal K-matrices. The
cases of Hermitian and non-Hermitian symmetric spaces are significantly different. In particular, in the latter case
a quasi-coaction is essentially uniq
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Bhowmick, Jyotishman; Ghosh, Shamindra; Rakshit, Narayan & Yamashita, Makoto
(2018).
Tube representations and twisting of graded categories.
Theory and Applications of Categories.
ISSN 1201-561X.
Full text in Research Archive
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Yamashita, Makoto
(2017).
Monodromy of the Gauss–Manin connection for deformation by group cocycles.
Journal of Noncommutative Geometry.
ISSN 1661-6952.
11(4),
p. 1237–1265.
doi:
10.4171/JNCG/11-4-1.
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De Commer, Kenny & Yamashita, Makoto
(2013).
Tannaka–Kreĭn duality for compact quantum homogeneous spaces. I. General theory.
Theory and Applications of Categories.
ISSN 1201-561X.
28,
p. 1099–1138.
doi:
10.1515/crelle-2013-0074.
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Rennie, Adam; Sitarz, Andrzej & Yamashita, Makoto
(2013).
Twisted Cyclic Cohomology and Modular Fredholm Modules.
SIGMA. Symmetry, Integrability and Geometry.
ISSN 1815-0659.
9.
doi:
10.3842/SIGMA.2013.051.
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De Commer, Kenny & Yamashita, Makoto
(2013).
A construction of finite index C*-algebra inclusions from free actions of compact quantum groups.
Publications of the Research Institute for Mathematical Sciences.
ISSN 0034-5318.
49(4),
p. 709–735.
doi:
10.4171/PRIMS/117.
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Yamashita, Makoto
(2013).
Operator algebra of foliations with projectively invariant transverse measure.
Publications of the Research Institute for Mathematical Sciences.
ISSN 0034-5318.
49(4),
p. 679–708.
doi:
10.4171/PRIMS/116.
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Yamashita, Makoto
(2013).
Index character associated with the projective Dirac operator.
Proceedings of the American Mathematical Society.
ISSN 0002-9939.
141,
p. 2923–2932.
doi:
10.1090/S0002-9939-2013-11588-1.
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Yamashita, Makoto
(2012).
On subfactors arising from asymptotic representations of symmetric groups.
Proceedings of the American Mathematical Society.
ISSN 0002-9939.
140,
p. 249–261.
doi:
10.1090/S0002-9939-2011-10991-2.
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Yamashita, Makoto
(2010).
Connes–Landi deformation of spectral triples.
Letters in Mathematical Physics.
ISSN 0377-9017.
94(3),
p. 263–291.
doi:
10.1007/s11005-010-0441-1.
View all works in Cristin
Published
Aug. 29, 2018 4:07 PM
- Last modified
Jan. 31, 2024 9:38 AM
