[ Contact info ] [ Research
interests ] [ Teaching ] [ Publications and preprints ] [ Presentations at conferences ]
[ Links ]
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| Johan Öinert
PhD and Reader in Mathematics
(På svenska: Teknologie doktor och docent i matematik)
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Professor of Mathematics |
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Contact info
Research interests
- 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.
- Crossed product Banach algebras. (More details here.)
Click here to see the Wordle image generated from my thesis abstract.
- 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.
- Banach-korsprodukter. (Mer detaljer här.)
En populärvetenskaplig beskrivning på svenska kommer postas här, i sinom tid...
I am a member of the research groups in Non-commutative Geometry and Applications respectively Algebra, at Lund University.
In the past, I have been a member of the research group in Non-commutative Geometry
within the Centre for Symmetry and Deformation
at the University of
Copenhagen 
(2010-2012),
the research group in Non-commutative Geometry and Applications
at Lund University 
(2008-2010)
and the research group in
Algebra and Geometry at the University of Antwerp 
(2006-2008).
My favourite open problems
A common belief (amongst non-mathematicians) is that mathematics is a finished subject, that there is nothing more to explore.
However, the real situation is quite the opposite. There are plenty of important problems
that are open in the sense that noone has been able to solve them.
Here is a list of my favourite open problems/conjectures:
- Kaplansky's idempotent/zero-divisor/unit conjecture for group rings
- The Kadison-Kaplansky conjecture
- The Baum-Connes conjecture
- The Goldbach conjecture
The Kadison-Singer problem, Solved in 2013 by Marcus, Spielman and Srivastava!!!, arXiv:1306.3969 [math.CO]
- Köthe's conjecture
- The Riemann hypothesis
(Shortly, I will try to write out some more details about these problems.)
Students, collaborators, genealogy etc.
My co-authors include
My Erdös number is 4 and my Einstein number is 5 (take a look here!).
- I have been assistant supervisor for Johan
Richter , who was a PhD student at
Lund University.
Johan defended his licentiate thesis on October 5, 2012,
and his doctoral thesis on September 29, 2014.
His PhD thesis, entitled ''Algebraic Properties of Ore Extensions and Their Commutative Subrings'', can be found here.
- I have been a mentor for Sanaz Pooya
, who is a PhD student at Ferdowsi University of Mashhad, Iran,
and who was visiting Lund University for 10 months (September 2013-June 2014)
as a guest PhD student with an Erasmus Mundus (SALAM) scholarship.
- I have supervised Bartosz Malman, who presented his master's thesis,
entitled ''Zero-divisors and idempotents in group rings'',
on August 28, 2014.
The thesis can be downloaded from here.
In the autumn of 2012, I participated in the Leavitt Path Algebra Seminar
at the Centre for Symmetry and Deformation, University of Copenhagen.
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.
Teaching
(DS=Datorsäkerhet, IE=Industriell ekonomi, MT=Maskinteknik, SP=Spel- och programvaruteknik)
Publications and preprints
Theses
- J. Öinert,
"Connections between Topological Dynamical Systems and Non-Commutative C*-Algebras", v+102 pp.,
Master's Theses in Mathematical Sciences 2005:E35,
ISSN 1404-6342, LUTFMA-3123-2005, Lund University, 2005.
- J. Öinert,
"Ideals and Maximal Commutative Subrings of Graded
Rings", xii+171 pp.,
Doctoral Theses in Mathematical Sciences 2009:5,
ISSN 1404-0034,
LUTFMA-1038-2009, ISBN 978-91-628-7832-0, Lund University, 2009.
Errata
If you have trouble accessing any of the papers below,
please send me an e-mail and I will do my best to try to help you!
Accepted papers
- 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)
- 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)
- 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 ]
- 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 ]
- 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 ]
- J. Öinert,
"Simple Group Graded Rings and Maximal
Commutativity",
Contemporary Mathematics (American Mathematical Society), Vol. 503, pp. 159-175 (2009)
- 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)
- 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 ]
- J. Öinert and P. Lundström,
"Miyashita Action in Strongly Groupoid Graded Rings",
International Electronic Journal of
Algebra, Vol. 11, pp. 46-63 (2012)
- 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 ]
- J. T. Hartwig and J. Öinert,
"Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras",
Journal of Algebra, Vol. 373, 312-339 (2013) [ publisher's website ]
- J. Öinert, J. Richter and S. Silvestrov,
"Maximal commutative subrings and simplicity of Ore extensions",
Journal of Algebra and Its Applications, Vol. 12, No. 4, 1250192, 16 pp. (2013) [ publisher's website ]
- J. Öinert,
"Simplicity of skew group rings of abelian groups",
Communications in Algebra, Vol. 42, No. 2, 831-841 (2014). [ publisher's website ]
- P. Nystedt and J. Öinert,
"Simple skew category algebras associated with minimal partially defined dynamical systems",
Discrete and Continuous Dynamical Systems - Series A (DCDS-A), Vol. 33, No. 9, 4157-4171 (2013) [ publisher's website ]
- P. Nystedt and J. Öinert,
"Simple rings and degree maps",
Journal of Algebra, Vol. 401, 201-219 (2014) [ publisher's website ]
- D. Gonçalves, J. Öinert and D. Royer,
"Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics",
Journal of Algebra, Vol. 420, 201-216 (2014) [ publisher's website ]
- P. Nystedt and J. Öinert,
"Simple semigroup graded rings",
Journal of Algebra and Its Applications, Vol. 14, No. 7, 1550102, 10 pp. (2015) [ publisher's website ]
- P. Nystedt and J. Öinert,
"Outer partial actions and partial skew group rings",
Canadian Journal of Mathematics, Vol. 67, No. 5, 1144-1160 (2015) [ publisher's website ]
[ Preprint available @ arXiv ]
- P. Nystedt, J. Öinert and J. Richter,
"Non-associative Ore Extensions",
Accepted for publication in Israel Journal of Mathematics.
[ Preprint available @ arXiv ]
- Mai Hoang B. and J. Öinert,
"Quasi-duo differential polynomial rings",
Journal of Algebra and Its Applications, Vol. 17, No. 4, 11 pp. (2018)
[ Preprint available @ arXiv ]
- J. Öinert,
"Bimodules in group graded rings",
Algebras and Representation Theory, Vol. 20, No. 6, 1483-1494 (2017), [ publisher's website ]
[ Preprint available @ arXiv ]
- P. Nystedt, J. Öinert and H. Pinedo,
"Artinian and noetherian partial skew groupoid rings",
Journal of Algebra, Vol. 503, 433-452 (2018) [ publisher's website ]
[ Preprint available @ arXiv ]
Publications on mathematics education
- J. Öinert,
"Planning and implementing mathematics lectures for first-year university students - 30 tips and tricks",
Chapter 1 in "Improving University Science Teaching and Learning - Pedagogical Projects 2012", Vol. 5, No. 1,
Ulriksen, L; Sølberg, J; Wase Hansen, H. (Eds.), pp. 3-17, Department of Science Education, University of Copenhagen (2013)
Preprints
- P. Nystedt, J. Öinert and H. Pinedo,
"Epsilon-strongly graded rings, separability and semisimplicity", submitted.
[ Preprint available @ arXiv ]
- P. Nystedt and J. Öinert,
"Simple graded rings, non-associative crossed products and Cayley-Dickson doublings", submitted.
[ Preprint available @ arXiv ]
- P. Nystedt and J. Öinert,
"Epsilon-strongly graded Leavitt path algebras".
[ Preprint available @ arXiv ]
- P. Nystedt, J. Öinert and J. Richter,
"Monoid Ore extensions", submitted.
[ Preprint available @ arXiv ]
- V. Beuter, D. Gonçalves, J. Öinert and D. Royer,
"Simplicity of skew inverse semigroup rings with an application to Steinberg algebras", submitted.
[ Preprint available @ arXiv ]
- J. Öinert,
"A new proof of the simplicity criterion for Leavitt path algebras", in final preparation.
more coming soon...
Partial lists of my articles can be found on the arXiv, the Zentralblatt MATH and the MathSciNet.
Google scholar keeps track of citations of my articles.
Presentations and attendances at conferences, workshops and
seminars
- 3rd Øresund Symposium in Non-commutative Analysis
and Non-commutative Geometry,
January 30, 2004, Lund, Sweden
- Erasmus Intensive Program in Geometric and Algebraic Methods
in Physics and Applications,
September 4-15, 2005, Antwerp, Belgium
- Lie Days in Martina Franca, "Flags, Quivers and Invariant Theory
in Lie Representation Theory",
May 22-27, 2006, Martina Franca (Taranto), Italy
- Socrates Intensive Program in Geometric and Algebraic Methods
in Physics and Applications,
September 4-18, 2006, Antwerp, Belgium
- International Congress: New Techniques in Hopf Algebras and Graded
Ring
Theory,
September 19-23, 2006, Brussels, Belgium
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
October 12-14, 2006, Lund, Sweden
(Gave a talk.)
- Operator Methods in Fractal Analysis, Wavelets and Dynamical
Systems,
December 2-7, 2006, Banff, Canada
(Gave a talk.)
- Algebraic and Geometric Representation Theory (AGLT),
Århus, Denmark,
June
25-29, 2007
- Socrates Intensive Program in Geometric & Algebraic Methods with
Applications in Physics,
Antwerpen, Belgium, August 27-September 9, 2007
- International Conference on Noncommutative Rings and Geometry in
Honour of
the
60th Birthday of Freddy Van Oystaeyen,
Almeria, Spain,
September 18-23,
2007
- Workshop on Interpolation Theory,
Lund, Sweden,
October 8, 2007
(Gave a talk.)
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
Göteborg,
Sweden, October 11-13, 2007
(Gave a talk.)
- Svenska Matematikersamfundets Höstmöte,
Växjö, Sweden, November
30-December 1, 2007
- LieGrits Workshop,
Oxford, UK, January 3-9, 2008
- EMS Joint Mathematical Weekend,
Copenhagen, Denmark, February 29-March
2,
2008
- 5th Øresund Symposium on Non-commutative Analysis
and Non-commutative Geometry,
Copenhagen, Denmark, April 10, 2008
(Gave a talk.)
- The Tribute Workshop in Honour of Professor Gunnar
Sparr,
Lund,
Sweden,
May 8-9, 2008
- Summer School: 'Symbolic Dynamics and Homeomorphisms of the Cantor
Set',
Copenhagen, Denmark, June 23-27, 2008
- 5th European Congress of
Mathematics,
Amsterdam, The Netherlands, July 14-18, 2008
- Operator Structures and Dynamical Systems,
Lorentz Center, Leiden, The Netherlands, July 21-25, 2008 (Gave a talk.)
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
Tartu, Estonia, October 9-11, 2008 (Gave a talk.)
- Nordic-Öresund workshop: INANGA, "Inequalities, Interpolation, Non-commutative Analysis, Non-commutative Geometry and
Applications",
Lund, Sweden, November 17-18, 2008 (Gave a talk.)
- Svenska Matematikersamfundets Höstmöte,
Linköping, Sweden, November 28-29, 2008 (Gave a talk.)
- Socrates Intensive Program in Geometric & Algebraic Methods with Applications in
Physics,
Antwerpen, Belgium, July 6-19, 2009
- PhD thesis defense,
Lund, Sweden, August 17, 2009
[The thesis may be downloaded here!]
- Topics in Mathematical Physics and Operator Algebra,
September 7, 2009, Copenhagen, Denmark (Gave a talk.)
- Master Class on Von Neumann Algebras and Group
Actions,
January 25-29, 2010, Copenhagen, Denmark
- Workshop on Von Neumann Algebras and Group Actions,
February 1-5, 2010, Copenhagen, Denmark
- NestFest - Conference in Honor of Ryszard Nest's 60th
Birthday,
September 2-5, 2010, Copenhagen, Denmark
- Intensive Program on Interpolation and Non-commutative
Integration,
September 30-October 5, 2010, Lund, Sweden
- Operator Algebras and Representation Theory: Frames, Wavelets and
Fractals,
October 8-10, 2010, Banff, Canada
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
October 25-31, 2010, Tjärnö, Sweden (Gave a talk.)
- Operator Algebras and Representation Theory: Frames, Wavelets and
Fractals,
March 27-April 2, 2011, Oberwolfach, Germany
- Joint Oslo-Trondheim operator algebra seminar,
May 30-31,
2011, Trondheim, Norway (Gave a talk.)
- Hopf
algebras and tensor categories,
July 4-8, 2011, Almeria, Spain
- NordForsk Network Junior Workshop: Operator algebras and
dynamical systems,
September 14-17, 2011, Copenhagen, Denmark
- Workshop in honor of Kirchberg's 65th
birthday,
November 10-13, 2011, Copenhagen, Denmark
- Master Class on The Nuclear Dimension of C*-algebras,
November 14-18, 2011, Copenhagen, Denmark
- Workshop: Matematiken i
civilingenjörsutbildningarna - Ett seminarium tillägnat
Lars-Christer Böiers i samband med hans pensionering,
November 16, 2011, Lund, Sweden
- NordForsk Network Closing Conference: Operator algebras and dynamical
systems,
May 15-20, 2012, Gjógv, Faroe Islands (Gave a talk.)
- Mini-workshop: Commutative subalgebras, ideals and actions
July 23-24, 2012, Lund, Sweden (Gave a talk.)
- 26th Nordic and 1st European-Nordic Congress of Mathematicians (Dedicated to the memory of Lars Hörmander)
June 10-13, 2013, Lund, Sweden (Gave a talk.)
- Banach Algebras and Applications,
July 29 - August 4, 2013, Gothenburg, Sweden
- Masterclass on Ergodic Theory and von Neumann algebras,
October 14-18, 2013, Copenhagen, Denmark
- Öresundsdagen om grundkurser i matematik på universitet och högskolor,
October 23, 2013, Lund, Sweden
- Docentföreläsning, PDF coming soon.
December 12, 2013, Lund, Sweden
- Análise funcional geométrica e ações de grupos,
February 19-21, 2014, Florianópolis, Brazil (Gave a talk.)
- The Renaissance Combinatorics Seminar,
April 29, 2014, Helsinki, Finland (Gave a talk.)
- The 8th Øresund symposium on non-commutative analysis and non-commutative geometry,
May 15, 2014, Lund, Sweden
- Den 12:e Sydostkonferensen om matematik,
August 25, 2015, Karlskrona, Sweden (Gave a talk.)
- The 2nd Workshop on Dynamics, Numeration and Tilings (FloripaDynSys II),
December 11-12, 2015, Florianópolis, Brazil (Gave a talk.)
- Brauer groups, Hopf algebras and monoidal categories,
in honour of Stef Caenepeel on the occasion of his 60th birthday,
May 23-27, 2016, Turin, Italy
- Kleindagarna @ Institute Mittag-Leffler,
June 10-12, 2016, Stockholm, Sweden (Gave a talk.)
- Den 13:e Sydostkonferensen i matematik,
August 25, 2016, Växjö, Sweden
- The MAM seminar,
October 26, 2016, Västerås, Sweden (Gave a talk.)
- The joint UCL-ULB-VUB seminar on quantum groups, Hopf algebras and monoidal categories,
February 20, 2017, Louvain-la-Neuve, Belgium (Gave a talk.)
- The 3rd Workshop on Dynamics, Numeration, Tilings and Graph Algebras (FloripaDynSys III),
March 20-24, 2017, Florianópolis, Brazil (Gave a talk.)
- Installationsföreläsning (Eng: Inaugural lecture),
May 18, 2017, Karlskrona, Sweden
- Den 14:e Sydostkonferensen i matematik,
August 22, 2017, Karlskrona, Sweden (Gave a talk.)
- International Conference on Stochastic Processes and Algebraic Structures, in honour of Dmitrii S. Silvestrov on the occasion of his 70th birthday,
October 4-6, 2017, Västerås and Stockholm, Sweden (Gave a talk.)
Upcoming...
-
Other
I am a permanent member of the Swedish Mathematical Society and a member of the Lund
Mathematical Society.
Links
- Blogs
- Some mathematicians
- Useful stuff
- Travel
- Other
Last modified: Sunday, 22nd April, 2018 @ 06:09pm (CET)
