Johan Öinert

• Non-commutative algebra: Crossed products [1] [2] and more generally graded rings [3] [4] [5].
• Dynamical systems: Minimal dynamical systems and groupoid C*-dynamical systems.
• The interplay between dynamical systems and C*-algebras, and various algebraic constructions.

• Icke-kommutativ algebra: Korsprodukter och graderade ringar i största allmänhet.
• Dynamiska system: Minimala dynamiska system och gruppoid C*-dynamiska system.
• Samspelet mellan dynamiska system och C*-algebror, och diverse algebraiska konstruktioner.

I am a member of the research group in Non-commutative Geometry within the Centre for Symmetry and Deformation at the University of Copenhagen. In the past I have been a member of the research group in Algebra and Geometry at the University of Antwerp and the research group in Non-commutative geometry and applications at Lund University.

My co-authors include Dr. Jonas T. Hartwig, Dr. Patrik Lundström, Dr. Sergei Silvestrov, Dr. Theodora Theohari-Apostolidi and Dr. Harilaos Vavatsoulas. My Erdös number is 4 and my Einstein number is 5 (take a look here!).

I am assistant supervisor for Mr. Johan Richter, who is a PhD student at Lund University.

People that I like to keep track of:
Gergely Berczi, Viola Bruni, Vladimir Dotsenko, Alex Engström , Ghislain Fourier, Magnus Goffeng, Isar Goyvaerts, Jonas Hartwig, Daniel Larsson, Javier Lopez Pena, Douglas Lundholm, Samuel Lundqvist, Ehud Meir, Tomas Persson, Anne Pichereau, Artur Ruuge, Karl Rökaeus, Isar Stubbe, Christian Svensson, Jacob Sznajdman, Bogdan Toader, Fred Van Oystaeyen, Qimh Xantcha.

Genealogy of my mathematical ancestors (i.e. supervisor, supervisor's supervisor etc.) from The Mathematics Genealogy Project
Carl Fabian Björling
Anders Wiman	Erik Holmgren
Arne Beurling	Torsten Carleman
Lennart Carleson	Åke Pleijel
Hans Wallin	Jaak Peetre
Sergei D. Silvestrov	Gunnar Sparr
Me

0. J. Öinert,
   "Ideals and Maximal Commutative Subrings of Graded Rings", xii+171 pp.,
   Doctoral Thesis in Mathematical Sciences 2009:5,
   ISSN-1404-0034, LUTFMA-1038-2009, ISBN 978-91-628-7832-0, Lund University, 2009.
   Errata

1. J. Öinert and S. Silvestrov,
   ''Commutativity and Ideals in Algebraic Crossed Products'',
   Journal of Generalized Lie Theory and Applications, Vol. 2, No. 4, pp. 287-302 (2008)
   

2. J. Öinert and S. Silvestrov,
   ''On a Correspondence Between Ideals and Commutativity in Algebraic Crossed Products'',
   Journal of Generalized Lie Theory and Applications, Vol. 2, No. 3, pp. 216-220 (2008)

3. J. Öinert and S. Silvestrov,
   ''Crossed Product-Like and Pre-Crystalline Graded Rings'',
   Chapter 24 in "Generalized Lie Theory in Mathematics, Physics and Beyond", Silvestrov, S.; Paal, E.; Abramov, V.; Stolin, A. (Eds.), 16pp., Springer (2009) [ publisher's web site ]
   

4. J. Öinert and S. Silvestrov,
   "Commutativity and Ideals in Pre-Crystalline Graded Rings",
   Acta Applicandae Mathematicae, Vol. 108, No. 3, pp. 603-615 (2009) [ publisher's website ]
   

5. J. Öinert, S. Silvestrov, T. Theohari-Apostolidi and H. Vavatsoulas,
   "Commutativity and Ideals in Strongly Graded Rings",
   Acta Applicandae Mathematicae, Vol. 108, No. 3, pp. 585-602 (2009) [ publisher's website ]
   

6. J. Öinert,
   "Simple Group Graded Rings and Maximal Commutativity",
   Contemporary Mathematics (American Mathematical Society), Vol. 503, pp. 159-175 (2009)
   

7. J. Öinert and P. Lundström,
   "Commutativity and Ideals in Category Crossed Products",
   Proceedings of the Estonian Academy of Sciences, Vol. 59, No. 4, pp. 338-346 (2010)

8. J. Öinert and P. Lundström,
   "The Ideal Intersection Property for Groupoid Graded Rings",
   Communications in Algebra, Vol. 40, No. 5, pp. 1860-1871 (2012) [ publisher's website ]

9. J. Öinert and P. Lundström,
   "Miyashita Action in Strongly Groupoid Graded Rings",
   International Electronic Journal of Algebra, Vol. 11, pp. 46-63 (2012)

10. P. Lundström and J. Öinert,
    "Skew category algebras associated with partially defined dynamical systems",
    International Journal of Mathematics, Vol. 23, No. 4, pp. 16 (2012) [ publisher's website ]

11. J. Öinert, J. Richter and S. Silvestrov,
    "Maximal commutative subrings and simplicity of Ore extensions",
    To appear in Journal of Algebra and Its Applications.
    [ Preprint available @ arXiv ]

12. J. Öinert,
    "Simplicity of skew group rings of abelian groups",
    To appear in Communications in Algebra.
    [ Preprint available @ arXiv ]

Preprints

13. J. Öinert and P. Lundström,
    "Noncrossed Product Matrix Subrings and Ideals of Graded Rings".
    [ Preprint available @ arXiv ]

14. J. T. Hartwig and J. Öinert,
    "Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras", submitted.
    [ Preprint available @ arXiv ]

15. P. Lundström and J. Öinert,
    "Simple skew category algebras associated with minimal partially defined dynamical systems", submitted.
    [ Preprint available @ arXiv]

more coming soon...

Partial lists of my articles can be found on the arXiv and the MathSciNet.

1. 3rd Øresund Symposium in Non-commutative Analysis and Non-commutative Geometry,
   January 30, 2004, Lund, Sweden

2. Erasmus Intensive Program in Geometric and Algebraic Methods in Physics and Applications,
   September 4-15, 2005, Antwerp, Belgium

3. Lie Days in Martina Franca, "Flags, Quivers and Invariant Theory in Lie Representation Theory",
   May 22-27, 2006, Martina Franca (Taranto), Italy

4. Socrates Intensive Program in Geometric and Algebraic Methods in Physics and Applications,
   September 4-18, 2006, Antwerp, Belgium

5. International Congress: New Techniques in Hopf Algebras and Graded Ring Theory,
   September 19-23, 2006, Brussels, Belgium

6. Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network Workshop,
   October 12-14, 2006, Lund, Sweden (Gave a talk.)

7. Operator Methods in Fractal Analysis, Wavelets and Dynamical Systems,
   December 2-7, 2006, Banff, Canada (Gave a talk.)

8. Algebraic and Geometric Representation Theory (AGLT),
   Århus, Denmark, June 25-29, 2007

9. Socrates Intensive Program in Geometric & Algebraic Methods with Applications in Physics,
   Antwerpen, Belgium, August 27-September 9, 2007

10. International Conference on Noncommutative Rings and Geometry in Honour of the 60th Birthday of Freddy Van Oystaeyen,
    Almeria, Spain, September 18-23, 2007

11. Workshop on Interpolation Theory,
    Lund, Sweden, October 8, 2007 (Gave a talk.)

12. Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network Workshop,
    Göteborg, Sweden, October 11-13, 2007 (Gave a talk.)

13. Svenska Matematikersamfundets Höstmöte,
    Växjö, Sweden, November 30-December 1, 2007

14. LieGrits Workshop,
    Oxford, UK, January 3-9, 2008

15. EMS Joint Mathematical Weekend,
    Copenhagen, Denmark, February 29-March 2, 2008

16. 5th Øresund Symposium on Non-commutative Analysis and Non-commutative Geometry,
    Copenhagen, Denmark, April 10, 2008 (Gave a talk.)

17. The Tribute Workshop in Honour of Professor Gunnar Sparr,
    Lund, Sweden, May 8-9, 2008

18. Summer School: 'Symbolic Dynamics and Homeomorphisms of the Cantor Set',
    Copenhagen, Denmark, June 23-27, 2008

19. 5th European Congress of Mathematics,
    Amsterdam, The Netherlands, July 14-18, 2008

20. Operator Structures and Dynamical Systems,
    Lorentz Center, Leiden, The Netherlands, July 21-25, 2008 (Gave a talk.)

21. Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network Workshop,
    Tartu, Estonia, October 9-11, 2008 (Gave a talk.)

22. Nordic-Öresund workshop: INANGA, "Inequalities, Interpolation, Non-commutative Analysis, Non-commutative Geometry and Applications",
    Lund, Sweden, November 17-18, 2008 (Gave a talk.)

23. Svenska Matematikersamfundets Höstmöte,
    Linköping, Sweden, November 28-29, 2008 (Gave a talk.)

24. Socrates Intensive Program in Geometric & Algebraic Methods with Applications in Physics,
    Antwerpen, Belgium, July 6-19, 2009

25. PhD thesis defense,
    Lund, Sweden, August 17, 2009
    [The thesis may be downloaded here!]

26. Topics in Mathematical Physics and Operator Algebra,
    September 7, 2009, Copenhagen, Denmark (Gave a talk.)

27. Master Class on Von Neumann Algebras and Group Actions,
    January 25-29, 2010, Copenhagen, Denmark

28. Workshop on Von Neumann Algebras and Group Actions,
    February 1-5, 2010, Copenhagen, Denmark

29. NestFest - Conference in Honor of Ryszard Nest's 60th Birthday,
    September 2-5, 2010, Copenhagen, Denmark

30. Intensive Program on Interpolation and Non-commutative Integration,
    September 30-October 5, Lund, Sweden

31. Operator Algebras and Representation Theory: Frames, Wavelets and Fractals,
    October 8-10, 2010, Banff, Canada

32. Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network Workshop,
    October 25-31, 2010, Tjärnö, Sweden (Gave a talk.)

33. Operator Algebras and Representation Theory: Frames, Wavelets and Fractals,
    March 27-April 2, 2011, Oberwolfach, Germany

34. Joint Oslo-Trondheim operator algebra seminar,
    May 30-31, 2011, Trondheim, Norway (Gave a talk.)

35. Hopf algebras and tensor categories,
    July 4-8, 2011, Almeria, Spain

36. NordForsk Network Junior Workshop: Operator algebras and dynamical systems,
    September 14-17, 2011, Copenhagen, Denmark

37. Workshop in honor of Kirchberg's 65th birthday,
    November 10-13, 2011, Copenhagen, Denmark

38. Master Class on The Nuclear Dimension of C*-algebras,
    November 14-18, 2011, Copenhagen, Denmark

39. Workshop: Matematiken i civilingenjörsutbildningarna - Ett seminarium tillägnat Lars-Christer Böiers i samband med hans pensionering,
    November 16, 2011, Lund, Sweden

40. NordForsk Network Closing Conference: Operator algebras and dynamical systems,
    May 15-20, 2012, Faroe Islands (Gave a talk.)

41. Mini-workshop: Commutative subalgebras, ideals and actions
    July 23-24, 2012, Lund, Sweden

42. Master Class on Semiprojectivity,
    August 27-31, 2012, Copenhagen, Denmark

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