Makoto Yamashita

at Ochanomizu Universityat Ochanomizu University
at Kyoto (2020.12.28),
by Yuki Shoda

I am a mathematician at operator algebra group in Department of Mathematics, University of Oslo. My research interest is in operator algebras, quantum groups, and noncommutative geometry.

Contact

  • Email:
  • Postal address: P.O box 1053, Blindern, 0316 Oslo, Norway
  • Visiting address: Office 703, Niels Henrik Abels hus, Moltke Moes vei 35, 0316 Oslo, Norway — Getting to UiO

About Me

Makoto Yamashita : 山下 真

I grew up in a family of scientists in Tokyo, Japan. Since I started my PhD in mathematics at the University of Tokyo, while I was still based in Tokyo, I lived in Paris, Cardiff, Canberra, Copenhagen, and Rome for various arrangements. After six years at Ochanomizu University in Tokyo, I moved to Oslo in 2018.

My background is in operator algebra, which is a branch of functional analysis that studies algebras of operators on Hilbert spaces, but I sometimes venture out into neighbor fields. For my research, I study structures that appear from ‘quantization’, particularly in the framework of quantum groups and dynamical systems.

I am fascinated by the interplay between homological structures (K-theory and noncommutative calculus), functional analytic structures (approximation properties), and the underlying categorical structures (monoidal categories and triangulated categories). Another thread of my research is the classification of quantum group symmetry (in terms of Hopf algebras and coactions) through monoidal categorical structures (in terms of module categories).

Curriculum Vitæ (PDF)

Schedule

2024

Research

Preprints

  1. with M. Laca, S. Neshveyev; Crystallization of C*-algebras (arXiv:2402.08665)
  2. with V. Proietti; Homology and K-theory of dynamical systems. III. Beyond stably disconnected Smale spaces (arXiv:2207.03118)
  3. with L. Hataishi; Injectivity for algebras and categories with quantum symmetry (arXiv:2205.06663)

Papers

  1. with V. Proietti; Homology and K-theory of dynamical systems IV. Further structural results on groupoid homology, Ergodic Theory and Dynamical SystemsErgodic Theory Dynam. Systems, in press. (arXiv:2310.09928)
  2. Deformation of algebras associated with group cocycles, Journal of Noncommutative GeometryJ. Noncommut. Geom., 17 (2023) no. 4, pp. 1145–1166 (arXiv:1107.2512)
  3. with M. Brannan, F. Elzinga, S. J. Harris; Crossed product equivalence of quantum automorphism groups, International Mathematics Research NoticesInt. Math. Res. Not., 2023 (2023), no. 20, pp. 17749–17787 (arXiv:2202.04714)
  4. with K. De Commer, S. Neshveyev, L. Tuset; Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals, Forum of Mathematics. PiForum Math. Pi, in press (arXiv:2009.06018)
  5. with F. Elzinga; Poisson–Lie Group structures on semidirect products, Journal of Noncommutative GeometryJ. Noncommut. Geom., in press. (arXiv:2203.14552)
  6. with H. H. Neumann; Lieb type convexity for positive operator monotone decreasing functions, Linear and Multilinear AlgebraLinear Multilinear Algebra 71 (2023), no. 5, pp. 728–736 (arXiv:2106.01095)
  7. with V. Proietti; Homology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal, Journal of Noncommutative GeometryJ. Noncommut. Geom., 17 (2023) no. 3, pp. 957–998 (arXiv:2104.10938)
  8. with V. Proietti; Homology and K-theory of dynamical systems I. Torsion-free ample groupoids, Ergodic Theory and Dynamical SystemsErgodic Theory Dynam. Systems, 43 (2022) no. 8, pp. 2630–2660 (arXiv:2006.08028)
  9. with M. Kirihata; Strengthened convexity of positive operator monotone decreasing functions, Mathematica ScandinavicaMath. Scand., 126 (2020) no. 3, pp. 559–567 (arXiv:1902.07941)
  10. with S. Neshveyev; Categorically Morita equivalent compact quantum groups, Documenta MathematicaDoc. Math., 23 (2018), pp. 2165–2216. (arXiv:1704.04729)
  11. with S. Chakraborty; Tracing cyclic homology pairings under twisting of graded algebras, Letters in Mathematical PhysicsLett. Math. Phys., 109 (2019) no. 7, pp. 1625–1664. (arXiv:1709.03337)
  12. with K. De Commer, S. Neshveyev, and L. Tuset; Ribbon braided module categories, quantum symmetric pairs and Knizhnik–Zamolodchikov equations, Communications in Mathematical PhysicsComm. Math. Phys., 367 (2019) no. 3, pp. 717–769. (arXiv:1712.08047)
  13. with J. Bhowmick, S. Ghosh, and N. Rakshit; Tube representations and twisting of graded categories, Theory and Applications of CategoriesTheory Appl. Categ., 33 (2018), no. 31, pp. 964–987. (arXiv:1801.01735)
  14. with J. Bichon and S. Neshveyev; Graded twisting of comodule algebras and module categories, Journal of Noncommutative GeometryJ. Noncommut. Geom., 12 (2018), no. 1, 2018, pp. 331–368. (arXiv:1604.02078)
  15. with S. Neshveyev; A few remarks on the tube algebra of a monoidal category, Proceedings of the Edinburgh Mathematical SocietyProc. Edinb. Math. Soc., 61 (2018), no. 3, pp. 735–758. (arXiv:1511.06332)
  16. Monodromy of the Gauss–Manin connection for deformation by group cocycles, Journal of Noncommutative GeometryJ. Noncommut. Geom., 11 (2017), no. 4, pp. 1237–1265. (arXiv:1207.6687)
  17. with S. Neshveyev; Poisson boundaries of monoidal categories, Annales scientifiques de l'École Normale Supérieure (4)Ann. Sci. Éc. Norm. Super., série 4 50 (2017), no. 4, 927–972. (arXiv:1405.6572)
  18. with J. Bichon and S. Neshveyev; Graded twisting of categories and quantum groups by group actions, Annales de l'Institut FourierAnn. Inst. Fourier 66 (2016), no. 6, 2299–2338. (arXiv:1506.09194)
  19. with S. Neshveyev; Towards a classification of compact quantum groups of Lie type, Abel SymposiaAbel Symposia 12 (2016), 225–257. (arXiv:1603.05519)
  20. with S. Neshveyev; Drinfeld center and representation theory for monoidal categories, Communications in Mathematical PhysicsComm. Math. Phys. 345 (2016), no. 1, 385–434. (arXiv:1501.07390)
  21. with S. Neshveyev; Classification of non-Kac compact quantum groups of SU(n) type, International Mathematics Research NoticesInt. Math. Res. Not., 2016 (2016), no. 11, 3356–3391. (arXiv:1405.6574)
  22. with S. Neshveyev; Categorical duality for Yetter–Drinfeld algebras, Documenta MathematicaDoc. Math. 19 (2014), 1105–1139. (arXiv:1310.4407)
  23. with S. Neshveyev; Twisting the q-deformations of compact semisimple Lie groups, Journal of the Mathematical Society of JapanJ. Math. Soc. Japan 67 (2015), no. 2, 637–662. (arXiv:1305.6949)
  24. with K. De Commer and A. Freslon; CCAP for universal discrete quantum groups, Communications in Mathematical PhysicsComm. Math. Phys. 331 (2014), no. 2, 677–701. (arXiv:1306.6064)
  25. with K. De Commer; Tannaka–Kreĭn duality for compact quantum homogeneous spaces. I. General theory, Theory and Applications of CategoriesTheory Appl. Categ. 28 (2013), no. 31, 1099–1138. (arXiv:1211.6552)
  26. with K. De Commer; Tannaka–Kreĭn duality for compact quantum homogeneous spaces. II. Classification of quantum homogeneous spaces for quantum SU(2), Journal für die reine und angewandte MathematikJ. Reine Angew. Math. 708 (2015), 143–171. (arXiv:1212.3413)
  27. with A. Rennie and A. Sitarz; Twisted cyclic cohomology and modular Fredholm modules, Symmetry, Integrability and Geometry: Methods and ApplicationsSIGMA Symmetry Integrability Geom. Methods Appl. 9, 51. (arXiv:1111.6328)
  28. with K. De Commer; A construction of finite index C*-algebra inclusions from free actions of compact quantum groups, Publications of the Research Institute for Mathematical SciencesPubl. Res. Inst. Math. Sci. 49 (2013), no. 4, 709–735. (arXiv:1201.4022)
  29. Operator algebra of foliations with projectively invariant transverse measure, Publications of the Research Institute for Mathematical SciencesPubl. Res. Inst. Math. Sci. 49 (2013), no. 4, 679–708. (arXiv:0711.0790)
  30. Equivariant comparison of quantum homogeneous spaces, Communications in Mathematical PhysicsComm. Math. Phys. 317 (2013), no. 3, 593–614. (arXiv:1109.2991)
  31. Index character associated with the projective Dirac operator, Proceedings of the American Mathematical SocietyProc. Amer. Math. Soc. 141 (2013), no. 8, 2923–2932. (arXiv:1107.3007)
  32. On subfactors arising from asymptotic representations of symmetric groups, Proceedings of the American Mathematical SocietyProc. Amer. Math. Soc. 140 (2012), no. 1, 249–261. (arXiv:0912.0820)
  33. Connes–Landi deformation of spectral triples, Letters in Mathematical PhysicsLett. Math. Phys. 94 (2010), no. 3, 263–291. (arXiv:1006.4420)

Conference talks and other lectures

  1. Unitary quantization of compact symmetric spaces, Operator Algebras and Mathematical Physics (Yasu Festa 60), Tokyo, July 28, 2023
  2. Tensor categories of classical Lie type, OAS Follow on: Operator Algebras: Subfactors and Applications, Cambridge, June 26, 2023
  3. Crossed product equivalence of quantum automorphism groups, Noncommutative Harmonic Analysis and Quantum Information, Mittag-Leffler Institute, June 14, 2023
  4. Tensor categories of classical Lie type, Quantum groups and interactions, Glasgow, May 25, 2023
  5. Quantum symmetry of 3-homogeneous graphs, Noncommutative harmonic analysis and quantum groups, Będlewo, September 12, 2022
  6. Poisson–Lie Group structures on semidirect products, NCM 28, OA-NCG session, Helsinki, August 19, 2022
  7. Homology and K-theory of dynamical systems (beyond totally disconnected case), Nest Celebration, Copenhagen, June 14, 2022
  8. Homology and K-theory of dynamical systems, Noncommutativity in the North - A Marcus Wallenberg Symposium, Gothenburg, March 17, 2022
  9. Introduction to quantum groups and tensor categories, Quantum Probability and Non-Commutative Harmonic Analysis, Leiden, November 15–16, 2021
  10. The Kohno–Drinfeld theorem for symmetric pairs, Quantum Groups—Algebra, Analysis, and Category Theory, Oberwolfach, September 15, 2021
  11. Categorical quantization of symmetric spaces and reflection equation, Quantum Groups and Algebraic Quantum Field Theory workshop at IWOTA Lancaster UK 2021, Online, August 19, 2021
  12. Homology and K-theory of torsion free ample groupoids, Operator Algebra Workshop at BMC/BAMC Glasgow 2021, April 7, 2021
  13. Unitary rigid tensor categories and 2-categories, lecture series at Actions of Tensor Categories on C*-algebras, IPAM, January 22, 2021
  14. Homology and K-theory of torsion free ample groupoids and Smale spaces, The Noncommutative Geometry Seminar, Online, October 13, 2020
  15. Homology and K-theory of torsion free ample groupoids and Smale spaces, Non-Commutative Geometry and Cyclic Homology, Oberwolfach / Online, July 1, 2020
  16. Categorical quantization of symmetric spaces and reflection equation, Wales MPPM Zoom Seminar, Wales / Online, May 19, 2020
  17. Weak Morita equivalence of compact quantum groups, Operator Algebras in Quantum Field Theory and Quantum Probability, Rome, December 6, 2019
  18. Categorical quantization of symmetric spaces and reflection equation, 56th ARTIN Meeting, Edinburgh, November 28, 2019
  19. Categorical quantization of symmetric spaces and reflection equation, Subfactors and Applications, Oberwolfach, October 27, 2019
  20. Quantum symmetric spaces from reflection equation and module categories, XXXIX Workshop on Geometric Methods in Physics, Białowieża, July 4, 2019
  21. Quantum symmetric spaces from reflection equation and module categories, SYM 10 Years Old, Copenhagen, June 25, 2019
  22. Introduction to rigid C*-tensor categories, OSU Summer research program on quantum symmetries, Colombus, June 10–14, 2019
  23. Structure of tube algebra from categorical viewpoint, Subfactors in Sydney, Sydney, February 7, 2019
  24. Quantum symmetry through module categories, RIMS 共同研究「作用素環論とテンソル圏論の最近の進展」, Kyoto, January 21–23, 2019
  25. Quantum double and representation of rigid C*-tensor categories, Danish Operator Algebra Seminar, December 6, 2018
  26. Integrating Gauss–Manin connection by group cohomology, New Trends in Noncommutative Geometry, Oslo, October 25, 2018
  27. Dynamical characterization of categorical Morita equivalence for compact quantum groups, Fusion Categories and Subfactors, Banff, October 17, 2018
  28. Ribbon braided module categories, quantum symmetric pairs and Knizhnik–Zamolodchikov equations, Quantum homogeneous spaces, Edinburgh, June 15, 2018
  29. Graded twisting of quantum groups, Quantum Probability and its Applications, Tokyo, December 6, 2017
  30. Integrating Gauss–Manin connection by group cohomology, RIMS Workshop: Recent Developments in Operator Algebras, Kyoto, September 6, 2017
  31. Quantum group symmetry and categorical duality, lecture series at Nagoya University, Nagoya, June 26–30, 2017
  32. Categorical duality for compact quantum group actions, lecture series at Topological quantum groups and harmonic analysis, Seoul, May 15–19, 2017
  33. Harmonic analysis on monoidal categories, lecture series at McGill University, April 18–21, 2017
  34. Weak Morita equivalence of compact quantum groups, Non-Commutative Analysis, Chennai, February 10, 2017
  35. Drinfeld center, tube algebra, and representation theory for monoidal categories, Topological quantum groups and Hopf algebras, Warsaw, November 16, 2016
  36. Categorical duality for quantum group actions, The 9th MSJ-SI: Operator Algebras and Mathematical Physics, Sendai, August 8, 2016
  37. Subfactor and operator system theoretic aspects of categorical Poisson boundary, Von Neumann Algebras, Bonn, July 5, 2016
  38. Drinfeld center and representation theory for monoidal categories, 44th Canadian Annual Symposium on Operator Algebras and their Applications (COSy), Montreal, June 14, 2016
  39. Drinfeld center, tube algebra, and representation theory for monoidal categories, Quantum groups: geometry, representations, and beyond, Oslo, May 13, 2016
  40. Unitary half-braiding and bimodules over the Longo–Rehren/SE-inclusion, Workshop Classification and Dynamical Systems II: von Neumann algebras, Institut Mittag-Leffler, April 22, 2016
  41. コンパクト群の量子化とテンソル圏的構造の分類，「新しい幾何学に向かって–2」, Tokyo University of Science, February 28, 2016
  42. Classification problems on the compact quantum groups of Lie type, The Abel Symposium 2015, MS Finnmarken, August 9, 2015
  43. Poisson boundaries of monoidal categories, the 8th Korean Operator Algebra Seminar, Busan, April 12, 2015
  44. Lecture series on C*-tensor categories and quantum groups at Inst. Math. Sci, Indian Inst. Tech. Madras, and Chennai Math. Inst., March 11–18, 2015
  45. Deformation of algebras from group 2-cocycles, Oberwolfach mini-workshop “Deformation Quantization: between formal to strict”, February 19, 2015
  46. Classification of quantum groups and their actions by categorical duality, RIMS 共同研究「作用素環の分類理論とその周辺」, Kyoto, February 2 & 3, 2015
  47. Equivariant KK-theory and the Borsuk–Ulam theorem for quantum spheres, The Second China-Japan Conference on Noncommutative Geometry and K-Theory, Okinawa, October 6, 2014
  48. Autoequivalences of tensor categories for twisted q-deformations of quantum groups, From Poisson brackets to universal quantum symmetries, Warsaw, August 18, 2014
  49. Classification of SU(n)-like non-Kac compact quantum groups, Quantum Groups and Operator Algebras, Münster, May 9, 2014
  50. Poisson boundary of monoidal categories, Free probability and the large N limit, IV, Berkeley, March 25, 2014
  51. Classification of SUq(n)-like quantum groups by categorical duality, Danish-Norwegian Operator Algebra Workshop, Copenhagen, December 12, 2013
  52. Central approximation properties of free quantum groups, 2013年作用素論・作用素環論研究集会, Ochanomizu University, November 22, 2013
  53. Tannaka-Krein duality for quantum homogeneous spaces, Oberwolfach workshop “Noncommutative Geometry”, September 14, 2013
  54. Central approximation properties of free quantum groups, Oberwolfach workshop “C*-Algebren”, August 30, 2013
  55. Equivariant comparison of quantum homogeneous spaces, Groups, Dynamical Systems and C*-Algebras, Münster, August 23, 2013
  56. Classification of quantum homogeneous spaces, Theme Week on Quantum Groups and Hopf Cyclic Homology, Fields Institute, Toronto University, June 13, 2013
  57. Classification of quantum homogeneous spaces, Noncommutative Geometry of Quantum SU(2) revisited, the Mathematical Institute of the Polish Academy of Sciences, Warsaw, December 18, 2012
  58. Gauss–Manin connection for strict deformation associated with group 2-cocycles, RIMS研究集会「作用素環論の最近の発展と関連する話題について」, September 26, 2012
  59. Deformation of algebras from group 2-cocycles, 非可換幾何学と数理物理学 2012, Keio University, September 15, 2012
  60. K-theoretic invariance of C*-algebras under continuous deformation with quantum symmetry, 第51回実函数論函数解析学合同シンポジウム, Tokyo University of Science, August 7, 2012
  61. Deformation of algebras associated to group cocycles, Noncommutative Geometry and Quantum Groups, Oslo, June 13, 2012
  62. Equivariant comparison of quantum homogeneous spaces, Topology and Analysis on Foliations (The 11th International Conference by Graduate School of Mathematics, Nagoya University), Nagoya, March 23, 2012
  63. Deformation of algebras associated with group cocycles, Group actions and K-theory, Department of Mathematics, Kyoto University, March 13, 2012
  64. On subfactors arising from asymptotic representations of symmetric groups, Danish-Norwegian workshop on operator algebras, Oslo, December 6, 2011
  65. Equivariant comparison of quantum homogeneous spaces, Banach Center research group New Results in Noncommutative Topology, the Mathematical Institute of the Polish Academy of Sciences, Warsaw, November 7, 2011
  66. On subfactors arising from asymptotic representations of symmetric groups, Representations of Braid and Symmetric Groups, New Approaches WIMCS Mathematical Physics Cluster Workshop, Aberystwyth, May 3, 2011
  67. Connes-Landi Deformation of Spectral Triples, EU - NCG 4th Annual Meeting, Bucharest, April 27, 2011
  68. Connes-Landi deformation of spectral triples, RIMS研究集会「作用素環論の最近の進展について」, Kyoto, September 2, 2010
  69. Connes-Landi deformation of spectral triples, 非可換幾何学と数理物理学 2010, Keio University, July 2, 2010
  70. Spectral Triples after Connes, RIMS共同研究「作用素環論と特異点の幾何学」, Kyoto, January 2010
  71. Subfactors from the infinite symmetric group inclusion, Geometry and Analysis, Paris, December 2009
  72. Right handed vector fields on homogeneous 3-manifolds, International Workshop on Noncommutative Geometry and Physics, Keio University, February 18, 2009
  73. Operator Algebra of Transversely Affine Foliations, Japan Math Society annual meeting, March 2008
  74. Affine holonomy foliations, RIMS共同研究「作用素環と数理物理学の研究」 January 23, 2008
  75. Periodic cyclic (co)homology of foliation algebras, Functional Analysis Junior Workshop, September 10, 2007

Book

  1. 『量子群点描』 共立出版 / Elements of Quantum Groups (in Japanese), Kyoritsu Shuppan, 2017 May, ISBN 978-4-320-11313-8

Notes

  1. Noncommutative differential calculus, note of Boris Tsygan's lecture given at Copenhagen masterclass in 2015
  2. Graph complexes, note of Thomas Willwacher's lecture given at Copenhagen masterclass in 2015
  3. Orbit Equivalence and Operator Algebras, note of Narutaka Ozawa's lecture given during winter semester 2006–2007

Non-mathematical

  1. with Masamichi Yamashita and M. Saigusa, Stand-Alone Temperature / Data Logger for Space Exposure Experiment [in Japanese], Biological sciences in space 21(2), 27–31, 2007-08-01, CiNii 10019824409

Community services

  1. Geometry and analysis of quantum groups 2023, workshop at University of Oslo, 2023
  2. Workshop on Operator Algebras, Deformation Quantization and Related Field Theories, workshop at International Centre for Interdisciplinary Science and Education, Quy Nhon, Vietnam
  3. Quantum Groups: Current Trends and New Perspectives, workshop at University of Oslo, 2022
  4. Topological Quantum Groups, C*-Tensor Categories, and Subfactors, summer school at University of Waterloo, 2022
  5. Geometry and analysis of quantum groups, winter school at University of Oslo, 2021
  6. Quantum groups and their analysis, summer school and workshop at University of Oslo, 2019
  7. 日本数学会 地方区代議員 / Representative at Math Society of Japan general assembly (March 2017–February 2018)
  8. 第50回関数解析研究会, workshop in Karuizawa, Nagano 2015
  9. 日本数学会『数学』 常任編集委員 / Editor of Sugaku for Math Society of Japan (translated as Sugaku Expositions (July 2014–June 2016)
  10. 2013年作用素論・作用素環論研究集会, workshop at Ochanomizu University, 2013

Awards

  • 科学技術分野の文部科学大臣表彰若手科学者賞 / The Young Scientists’ Prize, The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology (April 2018)
  • 日本数学会賞建部賢弘特別賞 / MSJ Takebe Katahiro Prize, The Mathematical Society of Japan (September 2016)

Notes

Teaching

  • 2024 Spring: Topics in Operator Algebras (MAT9390)
  • 2023 Spring: Algebraic Topology I (MAT4530)
  • 2022 Autumn: Topology (MAT3500/MAT4500)
  • 2022 Spring: Quantum Computing (MAT3420)
  • 2021 Autumn: Representation Theory (MAT4270 / MAT9270)
  • 2021 Spring: Algebraic Topology I (MAT4530)
  • 2020 Autumn: Advanced Linear Analysis (MAT4410)
  • 2020 Spring: Topics in Operator Algebras (MAT9390)
  • 2019 Autumn: Representation Theory (MAT4270 / MAT9270)
  • 2019 Spring: Advanced Functional Analysis (MAT4450)
  • 2018 Autumn: Representation Theory (MAT4270 / MAT9270)

Seminar

Please contact me if you are interested in giving a research talk at Oslo C*-algebra seminar and QOMBINE seminar.

Current working seminar

2024 Spring: topological phase of matter through quantum algebras

Past working seminars at Oslo

2022 Fall / 2023 Spring: groupoid homology and algebraic topology

2021 Fall: almost flat bundles and quasi-representations

2020 Spring: quantum computing

2019 Spring: quantization of Lie bialgebras after Tamarkin

2018 Winter: topological quantum computing

Past seminars in other places

Hochschild / cyclic seminar at Copenhagen (jointly organized with Tyrone Crisp)

Operator Algebra seminar at Ochanomizu University