I do and teach mathematics as Associate Professor at Department of Mathematics of University of Oslo. My research interest is in operator algebras, quantum groups, and noncommutative geometry.

Curriculum Vitæ (PDF) relevant papers (BibTEX)

- Email: "m" followed by "akotoy@math.uio.no"
- 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

- April 25–May 7: Copenhagen
- June 3–8: Stony Brook
- June 10–14: Ohio
- June 24–28: Copenhagen
- June 30–July 6: Białowieża
- July 29–August 2: Summer school in Oslo
- August 5–9: Workshop in Oslo
- August 11–17: Oberwolfach
- October 28–November 1: Oberwolfach

- with M. Kirihata;
*Strengthened convexity of operator monotone decreasing positive functions*(arXiv:1902.07941) *Deformation of algebras associated to group cocycles*(arXiv:1107.2512)

- with S. Neshveyev;
*Categorically Morita equivalent compact quantum groups*, Documenta MathematicaDoc. Math.,**23**(2018), pp. 2165–2216 (arXiv:1704.04729) - with S. Chakraborty;
*Tracing cyclic homology pairings under twisting of graded algebras*, Letters in Mathematical PhysicsLett. Math. Phys., in press (arXiv:1709.03337) - 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) - 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) - 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) - 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) *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)- 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) - 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) - with S. Neshveyev;
*Towards a classification of compact quantum groups of Lie type*, Abel Symposia, vol. 12Abel Symposia**12**(2016), 225–257. (arXiv:1603.05519) - 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) - 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) - with S. Neshveyev;
*Categorical duality for Yetter–Drinfeld algebras*, Documenta MathematicaDoc. Math.**19**(2014), 1105–1139. (arXiv:1310.4407) - 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) - 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) - 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) - 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) - 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) - 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) *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)*Equivariant comparison of quantum homogeneous spaces*, Communications in Mathematical PhysicsComm. Math. Phys.**317**(2013), no. 3, 593–614. (arXiv:1109.2991)*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)*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)*Connes–Landi deformation of spectral triples*, Letters in Mathematical PhysicsLett. Math. Phys.**94**(2010), no. 3, 263–291. (arXiv:1006.4420)

*Structure of tube algebra from categorical viewpoint*, Subfactors in Sydney, Sydney, February 7, 2019*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*Quantum double and representation of rigid C*-tensor categories*, Danish Operator Algebra Seminar, December 6, 2018*Integrating Gauss–Manin connection by group cohomology*, New Trends in Noncommutative Geometry, Oslo, October 25, 2018*Dynamical characterization of categorical Morita equivalence for compact quantum groups*, Fusion Categories and Subfactors, Banff, October 17, 2018*Ribbon braided module categories, quantum symmetric pairs and Knizhnik–Zamolodchikov equations*, Quantum homogeneous spaces, Edinburgh, June 15, 2018*Graded twisting of quantum groups*, Quantum Probability and its Applications, Tokyo, December 6, 2017*Integrating Gauss–Manin connection by group cohomology*, RIMS Workshop: Recent Developments in Operator Algebras, Kyoto, September 6, 2017*Quantum group symmetry and categorical duality*, lecture series at Nagoya University, Nagoya, June 26–30, 2017*Categorical duality for compact quantum group actions*, lecture series at Topological quantum groups and harmonic analysis, Seoul, May 15–19, 2017*Harmonic analysis on monoidal categories*, lecture series at McGill University, April 18–21, 2017*Weak Morita equivalence of compact quantum groups*, Non-Commutative Analysis, Chennai, February 10, 2017*Drinfeld center, tube algebra, and representation theory for monoidal categories*, Topological quantum groups and Hopf algebras, Warsaw, November 16, 2016*Categorical duality for quantum group actions*, The 9th MSJ-SI: Operator Algebras and Mathematical Physics, Sendai, August 8, 2016*Subfactor and operator system theoretic aspects of categorical Poisson boundary*, Von Neumann Algebras, Bonn, July 5, 2016*Drinfeld center and representation theory for monoidal categories*, 44th Canadian Annual Symposium on Operator Algebras and their Applications (COSy), Montreal, June 14, 2016*Drinfeld center, tube algebra, and representation theory for monoidal categories*, Quantum groups: geometry, representations, and beyond, Oslo, May 13, 2016*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- 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
*Classification problems on the compact quantum groups of Lie type*, The Abel Symposium 2015,*MS Finnmarken*, August 9, 2015*Poisson boundaries of monoidal categories*, the 8th Korean Operator Algebra Seminar, Busan, April 12, 2015- 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
*Deformation of algebras from group 2-cocycles*, Oberwolfach mini-workshop “Deformation Quantization: between formal to strict”, February 19, 2015*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*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*Autoequivalences of tensor categories for twisted q-deformations of quantum groups*, From Poisson brackets to universal quantum symmetries, Warsaw, August 18, 2014*Classification of SU(n)-like non-Kac compact quantum groups*, Quantum Groups and Operator Algebras, Münster, May 9, 2014*Poisson boundary of monoidal categories*, Free probability and the large N limit, IV, Berkeley, March 25, 2014*Classification of SUq(n)-like quantum groups by categorical duality*, Danish-Norwegian Operator Algebra Workshop, Copenhagen, December 12, 2013*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*Tannaka-Krein duality for quantum homogeneous spaces*, Oberwolfach workshop “Noncommutative Geometry”, September 14, 2013*Central approximation properties of free quantum groups*, Oberwolfach workshop “C*-Algebren”, August 30, 2013*Equivariant comparison of quantum homogeneous spaces*, Groups, Dynamical Systems and C*-Algebras, Münster, August 23, 2013*Classification of quantum homogeneous spaces*, Theme Week on Quantum Groups and Hopf Cyclic Homology, Fields Institute, Toronto University, June 13, 2013*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*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*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*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*Deformation of algebras associated to group cocycles*, Noncommutative Geometry and Quantum Groups, Oslo, June 13, 2012*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*Deformation of algebras associated with group cocycles*, Group actions and K-theory, Department of Mathematics, Kyoto University, March 13, 2012*On subfactors arising from asymptotic representations of symmetric groups*, Danish-Norwegian workshop on operator algebras, Oslo, December 6, 2011*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*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*Connes-Landi Deformation of Spectral Triples*, EU - NCG 4th Annual Meeting, Bucharest, April 27, 2011*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*Connes-Landi deformation of spectral triples*, 非可換幾何学と数理物理学 2010, Keio University, July 2, 2010*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*Subfactors from the infinite symmetric group inclusion*, Geometry and Analysis, Paris, December 2009*Right handed vector fields on homogeneous 3-manifolds*, International Workshop on Noncommutative Geometry and Physics, Keio University, February 18, 2009*Operator Algebra of Transversely Affine Foliations*, Japan Math Society annual meeting, March 2008*Affine holonomy foliations*, RIMS共同研究「作用素環と数理物理学の研究」 January 23, 2008*Periodic cyclic (co)homology of foliation algebras*, Functional Analysis Junior Workshop, September 10, 2007

- 『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

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

- 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

- 日本数学会 地方区代議員 / Representative at Math Society of Japan general assembly (March 2017–February 2018)
- 第50回関数解析研究会
- 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) - 2013年作用素論・作用素環論研究集会

- 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)

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

2019 Spring: quantization of Lie bialgebras after Tamarkin

2018 Winter: topological quantum computing

2017 Fall/Winter: working seminar on operator algebras and noncommutative geometry

- QFT
- Solution of the Horn conjecture after Knutson–Tao

Working seminar 2017 Summer/Spring

- A new proof of Tikuisis–Winter–White theorem (03/16, 04/05)
- Cyclotomicity of S-matrices (04/11)
- Khintchine and Grothendieck inequalities: classical and noncommutative (04/25, 05/09)
- Cyclic homology of quantum groups (05/02)
- Modular flow in Poisson geometry (05/24)
- Bessis–Moussa–Villani conjecture (05/31)
- Grothendieck inequality on C*-algebras (06/07)
- Nuclearity and amenability (06/21)
- Equivariant K-groups and Verlinde algebra (07/04, 07/11)
- Uniquely ergodic free minimal
**Z**-action on manifolds (07/25) - Simple nuclear
**T**-C*-algebra not equivariantly isomorphic to its opposite (08/01)

**Sven Raum**(Univ. Kyoto (RIMS) / Univ. Münster)- Title: C*-simplicity of locally compact Powers groups
- Date & time: July 23 (Thu) 2015, 16:30–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633

**Mikaël Pichot**(McGill Univ.)- Title: Entropy invariants
- Date & time: July 13 (Mon) 2015, 16:30–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633

**Hochschild / cyclic seminar**at Copenhagen (jointly organized with Tyrone Crisp)**Jennifer Maier**(Univ. Hamburg)- Title:
*Construction of a modular category through equivariant topological field theories* - Date & time: February 19 (Tue) 2013, 16:30–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633

- Title:
**Kenny De Commer**(Univ. Cergy-Pontoise)- Title:
*Twists and projective representations for locally compact quantum groups* - Date & time: September 20 (Thu) 2012, 16:40–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633

- Title:
**Yuki Arano**(Univ. Tokyo)- Title:
*Tannaka–Krein duality for compact quantum groups* - Date & time: August 24 (Fri) 2012, 16:30–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629

- Title:
**Christian Voigt**(Univ. Münster)- Title:
*Quantum groups and K-theory* - Date & time: July 27 (Fri) 2012, 16:30–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629

- Title:
**Catherine Oikonomides**(Univ. Tokyo)- Title:
*The transverse fundamental class of a foliation: some examples.* - Date & time: July 5 (Thu) 2012, 16:40–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629

- Title:
**Luca Tomassini**(Univ. Rome “Tor Vergata”)- Title:
*The Moyal plane: distances between translated states and Pythagoras-like relations* - Date & time: June 28 (Thu) 2012, 16:40–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 629

- Title:
**Shweta Sharma**(Univ. Paris Sud XI, Orsay)- Title:
*Power series of SP-type and their resurgence algebra* - Date & time: April 12 (Thu) 2012, 16:30–18:00
- Location: Ochanomizu University, Fac. Sci. Bldg. 1, 6th floor, 633

- Title:

- Noriyuki Abe
- Hiroshi Ando
- Yuki Arano
- Francesca Arici
- Dorothea Bahns
- Erik Bedos
- Julien Bichon
- Dietmar Bisch
- Marcel Bischoff
- Étienne Blanchard ⚘
- Chris Bourne
- Mike Brannan
- Arnaud Brothier
- Branimir Ćaćić
- Sebastiano Carpi
- Martijn Caspers
- Alexandru Chirvasitu
- Nicola Ciccoli
- Benoît Collins
- Alain Connes
- Jason Crann
- Tyron Crisp
- Ludwik Dąbrowski
- Yoann Dabrowski
- Marius Dadarlat
- Biswarup Das
- Kenny De Commer
- Tim de Laat
- Mikael de la Salle
- Siegfried Echterhoff
- Michel Enock
- Chiara Esposito
- David E. Evans
- Pierre Fima
- Amaury Freslon
- Tomohiro Fukaya
- Olivier Gabriel
- César Galindo
- Terry Gannon
- Elizabeth Gillaspy
- Sasha Gorokhovsky
- Uffe Haagerup ⚘
- Piotr M. Hajac
- Hiroyasu Hamada
- Takashi Hara
- Takahiro Hasebe
- Ben Hayes
- Lars Hesselholt
- Nigel Higson
- Michel Hilsum
- Cyril Houdayer
- Yusuke Isono
- Corey Jones
- Vaughan F.R. Jones
- David Jordan
- Kate Juschenko
- Mehrdad Kalantar
- Paweł Kasprzak
- Takeshi Katsura
- Yasu Kawahigashi
- Matthew Kennedy
- David Kerr
- Yoshikata Kida
- Takahiro Kitayama
- Ryosuke Kodera
- Vijay Kodiyalam
- Erik Koelink
- Stefan Kolb
- Uli Krähmer
- Yosuke Kubota
- Kazumasa Kuwada ⚘
- David Kyed
- Giovanni Landi
- Nadia S. Larsen
- Hun Hee Lee
- Kang Li
- Xin Li
- Roberto Longo
- Jennifer Maier
- Shahn Majid
- Toshihiko Masuda
- Akira Masuoka
- Sho Matsumoto
- Yasumichi Matsuzawa
- Hiroki Matui
- Ehud Meir
- Ralf Meyer
- Masato Mimura
- Scott Morrison
- Michael Müger
- Masaru Nagisa
- Katsuyuki Naoi
- Norio Nawata
- Brent Nelson
- Sergey Neshveyev
- Ryszard Nest
- Réamonn Ó Buachalla
- Rui Okayasu
- Victor Ostrik
- Taka Ozawa
- Judy Packer
- Ulrich Pennig
- Dave Penneys
- Emily Peters
- Mikaël Pichot
- Raphaël Ponge
- Sanaz Pooya
- Sorin Popa
- Florin Radulescu
- Sven Raum
- Jean Renault
- Adam Rennie
- Mikael Rørdam
- Ana Ros Camacho
- Yasuhiko Sato
- Peter Schauenburg
- Thomas Schick
- Christoph Schweigert
- Kenichi Shimizu
- Dima Shlyakhtenko
- Tatiana Shulman
- Thomas Sinclair
- Andrzej Sitarz
- Adam Skalski
- Georges Skandalis
- Piotr Śniady
- Noah Snyder
- Piotr M. Sołtan
- Karen Strung
- V.S. Sunder
- Yuhei Suzuki
- Wojciech Szymański
- Asuka Takatsu
- Takuya Takeishi
- Yoh Tanimoto
- James Tener
- Andreas B. Thom
- Reiji Tomatsu
- Boris Tsygan
- Henry Tucker
- Lars Tuset
- Yoshimichi Ueda
- Stefaan Vaes
- Jean-Michel Vallin
- Erik van Erp
- Roland Vergnioux
- Christian Voigt
- Stefan Waldmann
- Jonas Wahl
- Nathalie Wahl
- Stuart White
- Hans Wenzl
- Anna Wysoczańska-Kula
- Stanisław L. Woronowicz
- Shigeru Yamagami
- Bob Yuncken
- Andrzej Żuk

- The Cost of Knowledge
- Fields Institute
- NATS
- The n-Cateory Café
- Noncommutative geometry blog
- Non-Commutative Geometry at Copenhagen
- Kyoto Operator Algebra Seminar
- Operator Algebras in Italy
- Operator Algebra Seminars at University of Tokyo
- Oslo Operator Algebras group
- Projet Algebres d'Operateurs à IMJ