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Prof. Dr. Martin Schlichenmaier
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| Fakultät oder Zentrum | Fakultät für Naturwissenschaften, Technologie und Medizin | ||||||||
| Department | Fachbereich Mathematik | ||||||||
| Postadresse |
Université du Luxembourg 2, Avenue de l'Université L-4365 Esch-sur-Alzette |
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| Soziale Medien & Blogs | |||||||||
| Gesprochene Sprachen | English, French, German | ||||||||
| Forschungsaufenthalte in | Denmark, Germany, France, Luxembourg, Austria, Poland, Sweden, USA | ||||||||
The main part of my research topics are concentrated at the interface between Algebraic Geometry, Complex Analysis, Differential Geometry, Symplectic Geometry and Theoretical and Mathematical Physics. An incomplete link is here
Beside other topics, I am interested in problems of algebraic geometry and algebra related to Computer-Algebra and its applications.
But also other fields of mathematics and its applications are not excluded.
To personal Homepage: http://math.uni.lu/schlichenmaier
About Martin Schlichenmaier's research group
Last updated on: Dienstag, den 16. Januar 2018
2022
Lie superalgebras of Krichever-Novikov type and their central extensionsScientific Conference (2022, November 02)
N-Point Virasoro Algebras are multipoint Krichever-Novikov type algebrasPresentation (2022, August 10)
Krichever-Novikov type algebras. A general review and the Genus Zero casein Hervig, Sigbjorn; Kruglikov, Boris; Markina, Irina; The, Dennis (Eds.) Geometry, Lie theory and applications (2022)
Les algebres de type Krichever - Novikov.: Definitions et resultatsin Makhlouf, Abdenacer (Ed.) Algebre et applications 1 (2022)
2021
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules;
in Banach Center Publications (2021), 123
Krichever-Novikov type algebras. Definition and Resultsin Makhlouf, Abdenacer (Ed.) Non-associative Algebras and Categories (2021)
2020
N point Virasoro algebras considered as Krichever - Novikov type algebrasScientific Conference (2020, February 04)
2019
Some naturally defined star products for Kaehler manifoldsScientific Conference (2019, September 10)
N point Virasoro algebras are multi-point Krichever Novikov type algebrasScientific Conference (2019, June 28)
Canonical quantization for compact quantizable Kaehler manifoldsScientific Conference (2019, May 02)
N point Virasoro algebras are multi-point Krichever Novikov type algebrasScientific Conference (2019, March 19)
Krichever-Novivkov type algebras. A general review and the genus zero caseE-print/Working paper (2019)
2018
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra;
in Journal of Physics. Conference Series (2018)
Berezin-Toeplitz quantization and naturally defined star products for Kähler manifoldsin Analysis and Mathematical Physics (2018), 8(4), 691-710
Krichever-Novikov Type Algebras and Wess-Zumino-Novikov-Witten Modelsin Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds, and Picard-Fuchs Equations (2018)
ICAMI 2017: International Conference on Applied Mathematics and Informatics: Forum on Analysis, Geometry, and Mathematical Physics; ; ; ;
in Analysis and Mathematical Physics (2018), 8
2017
The Vanishing of Low-Dimensional Cohomology Groups of the Witt and the Virasoro algebra;
E-print/Working paper (2017)
An elementary proof of the formal rigidity of the Witt and Virasoro algebraScientific Conference (2017, December 19)
Travaux mathematiques, Scientific contributions of the Centre for Quantum Geometry of Moduli Spaces, AQM Aarhus DenmarkBook published by University of Luxembourg (2017)
N-point Virasoro algebras are multipoint Krichever-Novikov-type algebrasin Communications in Algebra (2017), 45
2016
N-point Virasoro algebras are multi-point Krichever-Novikov type algebrasScientific Conference (2016, December 14)
N-point Virasoro algebras are multi-point Krichever-Novikov type algebrasScientific Conference (2016, December 12)
N-point Virasoro algebras are multi-point Krichever-Novikov type algebrasScientific Conference (2016, July 25)
N-point Virasoro algebras are multi-point Krichever-Novikov type algebrasScientific Conference (2016, July 11)
Some naturally defined star products for K\"ahler manifoldsScientific Conference (2016, February 18)
Krichever-Novikov type algebras. An introductionin Misra, Kailish; Nakano, Daniel; Parsall, Brian (Eds.) Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topis (2016)
N-point Virasoro algebras considered as Krichever-Novikov type algebrasin Schlichenmaier, Martin; kielianowski, Piotr; Bieliavsky, Piere; Odzzijewicz, Anatol; Voronov, Theodore; Ali, S.T. (Eds.) Goemetric Methods in Physics (2016)
2015
N point Virasoro Algebras are multi-point Krichever-Novikov type algebrasScientific Conference (2015, October 23)
N-point Virasoro algebras are multi-point Krichever-Novikov type algebrasScientific Conference (2015, June 28)
N-point Virasoro algebras are multi-point Krichever--Novikov type algebrasE-print/Working paper (2015)
Lie Superalgebras of Krichever-Novikov typein KIelanowski, Piotr; Bieliavsky, Pierre; Odzijewicz, Anatol; Schlichenmaier, Martin; Voronov, Theodore (Eds.) Geometric Methods in Physics, Bialowieza XXXIII (2015)
Geometric Methods in Physics, XXXIII workshop Bialowieza, Poland; ; ; ;
Book published by Birkhaeuser (2015)
2014
An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint modulein Forum Mathematicum (2014), 26(3), 913-929
Quasikristalle - 10 zaehlige Symmetrien gibt es nicht - oder dochConference given outside the academic context (2014)
From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyondin Vasil'ev, Alexander (Ed.) Harmonic and Complex Analysis and its Applications (2014)
Multipoint Lax operator algebras. Almost-graded structure and central extensionsin Sbornik: Mathematics (2014), 205(5), 117-160
Geometric Methods in Physics, XXXII Workshop Bialowieza, Poland, Jnue 30 - July 6, 2-13; ; ; ;
Book published by Springer (2014)
2013
Geometric methods in physics. XXXI workshop, Biaowieza, Poland June 24--30, 2012. Selected papers based on the presentations at the workshop.; ; ; ; ;
Book published by Birkhäuser/Springer (2013)
Geometric methods in physics. XXX workshop, Bialowieza, Poland June 26 --July 2, 2011. Selected papers based on the presentations at the workshop.; ; ; ;
Book published by Birkhäuser. (2013)
Some naturally defined star products on K\"ahler manifoldsScientific Conference (2013, September 10)
From the Virasoro Algebra to Krichever--Novikov Type Algebras and BeyondE-print/Working paper (2013)
Lie superalgebras of Krichever-Novikov type and their central extensionsin Analysis and Mathematical Physics (2013), 3(3), 235--261
Symmetries and infinite dimensional Lie algebrasin Bartholmé, C.; Connor, T.; Dominicy, Y.; Kidzinski, L.; Richard, N.; Swan, Yvik (Eds.) Notes de la cinquième BSSM (2013)
Berezin's coherent states, symbols and transform for compact Kähler manifolds.in Geometric Methods in Physics, XXX Workshop 2011 (2013)
An elementary proof of the formal rigidity of the WItt and Virasoro Algebrain Kielanowski, Piotr; Ali, Twareque; Odesskii, A;examder; Odzzijewicz, Anatol; Schlichenmaier, Martin; Voronov, Theodore (Eds.) Geometric Methods in Physics, XXXI Workshop 2012 (2013)
2012
Nikolai Neumaier; ; ; ;
Book published by Fac. Sci. Technol. Commun. Univ. Luxemb., Luxembourg (2012)
Berezin-Toeplitz quantization of compact Kaehler manifolds and its applicationScientific Conference (2012, September 19)
Krichever-Novikov type algebras - personal recollections of Julius Wessin International Journal of Modern Physics Conference Series (2012), 13
Berezin-Toeplitz quantization and star products for compact Kähler manifoldsin Contemporary Mathematics 583. Mathematical aspects of quantization (2012)
2011
Berezin-Toeplitz quantization for compact Kähler manifolds. An introduction (3 Lectures)Scientific Conference (2011, September)
Die Clay Milleniumsprobleme und ihr historischer Vorgänger die 23 mathematischen Probleme von Hilbert aus dem Jahr 1900Conference given outside the academic context (2011)
Berezin - Toeplitz quantization for compact Kähler manifolds. An introductionin Travaux Mathématiques (2011), 19
Geometry and quantization. Lectures presented at the 3rd international school and conference, Geoquant, Luxembourg City, Luxembourg, August 31--September 5, 2009.; ;
Book published by Travaux Mathématiques 19. Luxembourg: University of Luxembourg Faculty of Science, Technology and Communication. 277~p. (2011)
2010
Deformation methods in mathematics and physics. Abstracts from the workshop held September 25th--October 1st, 2010.; ;
in Oberwolfach Rep. (2010), 7(3), 2503-2560
XXIX workshop on geometric methods in physics, Bia\lowie\Dza Poland, June 27 -- July 3, 2010. Selected papers based on the presentations at the workshop.; ; ; ;
Book published by AIP Conference Proceedings 1307. Melville, NY: American Institute of Physics (AIP). ix, 220~p. EUR~129.95/net; SFR~151.00; \sterling~95.00 \$~142.00 (2010)
Berezin-Toeplitz quantization for compact Kähler manifolds. A review of resultsin Advances in Mathematical Physics (2010), 1(203), 38
2009
XXVIII Workshop on Geometrical Methods in Physics, Bialowieza, Poland, 28 June - 4 July 2009; ;
Book published by AIP (2009)
Symmetrien in der Natur. Was sagt uns die Mathematik hierzuConference given outside the academic context (2009)
Deformations of the Witt, Virasoro, and Current Algebrain Silvestrov, Sergei; Paal, Eugen; Abramov, Viktor; Stolin, Alexander (Eds.) Generalized Lie Theory in Mathematics, Physics and Beyond (2009)
Classification of central extensions of Lax operator algebrasin Proceedings of the XXVII Workshop on Geometric Methods in Physics (2009)
2008
Bahnbrechende Leistungen. "Nobelpreis in Mathematik": Abelpreis an Thompson und Tits;
Article for general public (2008)
Proceedings of the XXVII Workshop on Geometric Methods in Physics, Bialowieza July 2008; ; ;
Book published by AIP (2008)
2007
Global Geometric Deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras;
in Communications in Mathematical Physics (2007), 46(11), 2708-2724
Proceedings of the XXVI Workshop on Geometrical Methods in Physics AIP Conference Proceedings / Mathematical and Statistical Phsyics; ; ;
Book published by American Institute of Physics (2007)
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces 2nd enlarged editionBook published by Springer (2007)
A global operator approach to Wess-Zumino-Novikov-Witten modelsin Proceedings of the XXVI Workshop on Geometrical Methods in Physics (2007)
Higher genus affine Lie algebras of Krichever-Novikov typein Proceedings of the International Conference “Difference Equations, special functions and orthogonal polynomials” (2007)
Berezin-Toeplitz quantization of the moduli space of flat SU(N) connectionsin Journal of Geometry and Symmetry in Physics (2007), 9
Global Deformations of the Virasoro algebra, current and affine algebra by Krichever-Novikov type algebras;
in International Journal of Theoretical Physics (2007), 46
Proceedings of the XXV Workshop on Geometric Methods in Physics, Bialowieza July 2006; ; ; ; ;
Book published by Bulgarian Academy of Science (2007)
2006
XXIV Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 26 - July 2, 2005, Proceedings Special issue of the Journal of Geometry and Symmetry in Physics, containting vol. 5 and 6; ; ; ; ;
Book published by Institute of Biophysics, Bulgarian Academy of Sciences (2006)
Higher genus affine Lie algebras of Krichever-Novikov typein Journal of Geometry and Symmetry in Physics (2006), 5
Deformations of the Virasoro algebra of Krichever-Novikov typein Journal of Geometry and Symmetry in Physics (2006), 5
Deformations and contractions in mathematics and physics; ; ;
in Oberwolfach Reports (2006), 3(1), 119--186
2005
Twenty Years of Bialowieza: A Mathematical Anthology Aspects of differential geometric methods in physics; ; ; ;
Book published by World Scientific (2005)
Global geometric deformations of current algebras as Krichever-Novikov type algebras;
in Communications in Mathematical Physics (2005), 260(3), 579-612
Proceedings of the 4th Conference on Poisson Geometry 2004 Travaux mathématiques, Vol. XVI; ;
Book published by University of Luxembourg (2005)
2004
Deformation quantization for almost-Kähler manifoldsin Journal of Nonlinear Mathematical Physics (2004), 11(Supplement), 49-54
Recent Developments in Quantuzation. Proceedings of the XXI Workhsop on Geometric Methods in Physics, Bialowieza June 2002; ; ;
Book published by JNLS (2004)
Knizhnik-Zamolodchikov equations for positive genus and Krichever-Novikov algebras;
in Russian Mathematical Surveys (2004), 59(4), 737-770
2003
Global deformations of the Witt algebra of Krichever-Novikov type;
in Communications in Contemporary Mathematics (2003), 5(6), 921-946
Local cocycles and central extensions for multi-point algebras of Krichever-Novikov typein Journal für die Reine und Angewandte Mathematik (2003), 559
Several entriesin Bagger, J.; Duplij, S.; Siegel, W. (Eds.) Concise Encyclopedia on supersymmetry and non-commutative structures in mathematics and physics (2003)
several entries in the field algebra, algebraic topology, homological algebra, categoriesin Walz (Ed.) Lexikon der Mathematik (2003)
2001
Identification of Berezin-Toeplitz deformation quantization,;
in Journal für die Reine und Angewandte Mathematik (2001), 540
Berezin-Toeplitz Quantization and Berezin Transformin Long Time Behaviour of Classical Quantum Systems. Proceedings of the Bologna APTEX International Conference (2001)
Berezin-Toeplitz quantization of compact Kähler manifoldsin Coherent States, Quantization and Gravity, Proceedings of the XVII Workshop on Geometric Methods in Physics (2001)
Coherent states, quantization and Gravity, Proceedings of Bialowieza workshop on Geometric Methods in Physics XVII, July, 1998; ; ;
Book published by Warsaw University Press (2001)
2000
Coherent state embeddings, polar divisors and Cauchy formulas;
in Journal of Geometry and Physics (2000), 34
Deformation quantization of compact Kähler manifolds by Berezin-Toeplitz quantizationin Conférence Moshé Flato 1999: Quantization, Deformations, and Symmetries (2000)
Elements of a Global Operator Approach to Wess-Zumino-Novikov-Witten Modelsin Lie Theory and its Applications in Physics III: Proceedings of the Third International Workshop, Clausthal, Germany, 11-14 July 1999 (2000)
1999
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras, I;
in Russian Mathematical Surveys (1999), 54(1), 213-250
Coherent states, differential and quantum goemetry, Proceedings of Bialowieza workshop on Geometric Methods in Physics, June 30-Jly6, 1997; ; ;
Book published by Polish Scientific Publisher (1999)
1998
Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kähler manifoldsin Quantization, Coherent States and Poisson Structures. Proceedings of the XIV’th Workshop on Geometric Methods in Physics, Bialowieza, Poland, 9-15 July 1995 (1998)
Sugawara construction and Casimir operators for Krichever-Novikov algebras;
in Journal of Mathematical Sciences (1998), 92(2), 3807-3834
1997
Deformation quantization of compact Kähler manifolds via Berezin-Toeplitz operatorsin Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras: Proceedings of the XXI International Colloquium on Group Theoretical Methods in Physics (1997)
1996
1994
Toeplitz quantization of Kähler manifolds and gl(N), N to infinity, limits; ;
in Communications in Mathematical Physics (1994), 165
Differential operator algebras on compact Riemann surfacesin Generalized Symmetries in Physics, Clausthal 1993 (1994)
1993
Degenerations of generalized Krichever-Novikov algebras on toriin Journal of Mathematical Physics (1993), 34
1992
String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras; ;
in Letters in Mathematical Physics (1992), 26(1), 23-32
1991
gl(∞) and geometric quantization; ; ;
in Communications in Mathematical Physics (1991), 138(2), 209-244
1990
Krichever-Novikov algebras for more than two points: explicit generatorsin Letters in Mathematical Physics (1990), 19(4), 327-336
Central extensions and semi-infinite wedge representations of Krichever-Novikov algebras for more than two pointsin Letters in Mathematical Physics (1990), 20
Krichever-Novikov algebras for more than two pointsin Letters in Mathematical Physics (1990), 19(2), 151--165
1989
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli SpacesBook published by Springer (1989)
