Martin Schlichenmaier

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Mathematics

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Measure Theory

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#3474

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Mathematics

Martin Schlichenmaier's Degrees

PhD Mathematics University of Bonn

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According to Wikipedia, Martin Schlichenmaier is a German - Luxembourgish mathematician whose research deals with algebraic, geometric and analytic mathematical methods which partly have relations to theoretical and mathematical physics.

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Martin Schlichenmaier's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Toeplitz quantization of Kähler manifolds anggl(N), N→∞ limits (1993) (351)
Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞ (1993) (204)
Identification of Berezin-Toeplitz Deformation Quantization (2000) (151)
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces 2nd enlarged edition (1989) (113)
Deformation quantization of compact Kahler manifolds by Berezin-Toeplitz quantization (1999) (113)
Berezin-Toeplitz quantization of compact Kähler manifolds (1996) (96)
gl(∞) and geometric quantization (1991) (93)
Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results (2010) (92)
Krichever-Novikov algebras for more than two points (1990) (88)
Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type (2001) (66)
Central extensions and semi-infinite wedge representations of Krichever-Novikov algebras for more than two points (1990) (65)
Krichever-Novikov algebras for more than two points: Explicit generators (1990) (63)
Quantization of Singular Symplectic Quotients (2001) (62)
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras (1998) (61)
The Sugawara construction and Casimir operators for Krichever-Novikov algebras (1995) (53)
New family of superconducting copper oxides: Bi cuprates of type 1212 (1992) (53)
Verallgemeinerte Krichever-Novikov-Algebren und deren Darstellungen (1990) (49)
Global deformations of the Witt algebra of Krichever-Novikov type (2002) (48)
Global Geometric Deformations of Current Algebras as Krichever-Novikov Type Algebras (2004) (46)
Higher Genus Affine Lie Algebras of Krichever -- Novikov Type (2005) (45)
Degenerations of generalized Krichever–Novikov algebras on tori (1992) (43)
Berezin-Toeplitz Quantization and Berezin Transform (2000) (42)
Higher genus affine algebras of Krichever - Novikov type (2002) (41)
Structural changes of the superconductor YBa2Cu3O7 by cobalt substitution. A high-resolution neutron powder diffraction study (1989) (41)
Coherent state embeddings, polar divisors and Cauchy formulas (1999) (41)
Almost-Kähler Deformation Quantization (2001) (37)
Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kähler manifolds (1999) (30)
Krichever-Novikov Type Algebras: Theory and Applications (2014) (29)
String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras (1992) (28)
Knizhnik-Zamolodchikov equations for positive genus and Krichever-Novikov algebras (2004) (26)
Differential Operator Algebras on compact Riemann Surfaces (1993) (25)
Moduli Spaces of Curves (2007) (24)
Zwei Anwendungen algebraisch-geometrischer Methoden in der Physik: Berezin-Toeplitz quanisierung und globale Algebren der konformen Feldtheorie, Habilitationsschrift (1996) (24)
An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module (2011) (23)
Global Geometric Deformations of the Virasoro Algebra, Current and Affine Algebras by Krichever–Novikov Type Algebras (2006) (20)
Central extensions of Lax operator algebras (2007) (20)
Berezin-Toeplitz Quantization and Star Products for Compact Kaehler Manifolds (2012) (19)
The Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras, II (2003) (18)
The phase ((Bi, Pb)O)2Sr2BiFe2O7 + z (1989) (17)
Verallgemeinerte Krichever - Novikov Algebren und deren Darstellungen Dissertation, University of Mannheim, June 1990 (1990) (16)
High Tcsuperconductors in the system BiPbSrCaCuO (1989) (16)
System (AO)mM2B2n − 2FenO4n + z with m = 2 and n = 1,2 for A ≡ Bi, Pb and M, B ≡ Sr (1989) (15)
The system ((Bi, Pb)O)2Sr2Bi2Fe3O10 + z (1989) (14)
Multipoint Lax operator algebras: almost-graded structure and central extensions (2013) (14)
From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond (2013) (13)
Superconducting properties of the lead-containing 2212 phase Bi1.75Pb0.25Sr2CaCu2O8 + z with Tc in the range 70–98 K (1991) (12)
Stacking polytypes in the system Bi/PbSrFeO of type A2Sr2An−1Fen03.5+3n+z(n = 2, 3, 4) (1989) (12)
Lie superalgebras of Krichever–Novikov type and their central extensions (2013) (11)
The onset of oxygen diffusion in YBa2Cu3O7 − δ: An investigation by neutron diffraction (1989) (11)
Ar preparation of Pb rich 2212 superconductors in the BPSCCO system (1992) (11)
Deformation quantization of compact Kähler manifolds via Berezin-Toeplitz operators (1996) (10)
The high Tc phase (n = 3) in the BiPbSrCaCuO system (1990) (9)
N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras (2015) (9)
Influence of the preparation technique on the electrical properties of the 2212 high Tc superconductor Bi1.75Pb0.25Sr2CaCu2O8 + Z (1990) (8)
Berezin-Toeplitz quantization for compact Kähler manifolds. An introduction (3 Lectures) (2011) (8)
The Vanishing of the Low-Dimensional Cohomology of the Witt and the Virasoro algebra (2017) (6)
Influence of the preparation technique on Tc in the high Tc superconductor (1989) (6)
BEREZIN–TOEPLITZ QUANTIZATION OF THE MODULI SPACE OF FLAT SU(N) CONNECTIONS (2007) (6)
BEREZIN–TOEPLITZ QUANTIZATION OF THE MODULI SPACE OF FLAT SU(N) CONNECTIONS (2007) (6)
Krichever{Novikov Type Algebras. An Introduction (2016) (5)
Calabi-Yau Manifolds and Mirror Symmetry (2007) (5)
Sugawara operators for higher genus Riemann surfaces (1999) (4)
Structural and electric properties of the 2201 phase in the system Bi/Pb-Sr-Cu-O (1990) (4)
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra (2018) (4)
hep-th/9309134 TOEPLITZ QUANTIZATION OF KÄHLER MANIFOLDS AND gl(N), N → ∞ LIMITS. (2008) (4)
Pb- and Bi-Based Ferrates of Type 2212 (1994) (4)
Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds (2018) (4)
Sugawara construction for higher genus Riemann surfaces (1998) (3)
Lie superalgebras of Krichever-Novikov type. Almost-grading and central extensions (2013) (3)
Singular projective varieties and quantization (2000) (3)
Almost Kaehler deformation quantization (2001) (3)
Deformations of the Virasoro algebra of Krichever-Novikov type (2006) (3)
A Global Operator Approach to Wess‐Zumino‐Novikov‐Witten models (2000) (3)
Berezin-Toeplitz Quantization of the Moduli Space of Flat $\mathrm{SU}(N)$ Connections (2007) (3)
Deformations of the Witt, Virasoro, and Current Algebra (2009) (3)
Some naturally defined star products for Kaehler manifolds (2016) (2)
Lie superalgebras of Krichever-Novikov type (2015) (2)
XXIX Workshop on Geometric Methods in Physics (2010) (2)
for Kahler manifolds (2012) (2)
Twenty Years of Bialowieza: A Mathematical Anthology Aspects of differential geometric methods in physics (2005) (2)
Geometric Methods in Physics: XXXII Workshop, Bialowieza, Poland, June 30-July 6, 2013 (2014) (2)
Some naturally defined star products for Kähler manifolds by (2012) (2)
Almost-graded central extensions of Lax operator algebra (2011) (2)
XXVIII Workshop on Geometrical Methods in Physics (2009) (2)
Stacking Polytypes in the Systems Bi-Pb-Sr-Ca-T-O with T = Mn, Fe, Co, Ni, Cu (1990) (2)
Krichever–Novikov Type Algebras: Definitions and Results (2021) (1)
Geometric Methods in Physics, Bialowieza 2015 (2016) (1)
Some Concepts of Modern Algebraic Geometry: Point, Ideal and Homomorphism (1994) (1)
Vertexalgebren - eine Einführung (1997) (1)
Coherent States, Quantization and Gravity : Proceedings of the XVII-th Workshop On Geometric Methods in Physics, Bialowieza, Poland, July 3 -July 9, 1998 (2001) (1)
Berezin’s Coherent States, Symbols and Transform for Compact Kähler Manifolds (2013) (1)
Coherent states, quantization and Gravity, Proceedings of Bialowieza workshop on Geometric Methods in Physics XVII, July, 1998 (2001) (1)
An Elementary Proof of the Formal Rigidity of the Witt and Virasoro Algebra (2013) (1)
Topology of Riemann Surfaces (2007) (1)
Deformations and Contractions in Mathematics and Physics (2006) (1)
The Vanishing of Low-Dimensional Cohomology Groups of the Witt and the Virasoro algebra (2017) (1)
Berezinian Sheaf, algebraic approach (2004) (0)
ALGEBRAS OF VECTOR FIELDS ON RIEMANN SURFACES (GENERALIZED KRICHEVER - NOVIKOV - ALGEBRAS) (1991) (0)
7. Semi-infinite wedge forms and fermionic Fock space representations (2014) (0)
Geometric methods in physics : proceedings of the XXVIII Workshop on Geometric Methods in Physics, Białowieża, Poland, 28 June-4 July 2009 (2009) (0)
Proceedings of the XXVI Workshop on Geometrical Methods in Physics AIP Conference Proceedings / Mathematical and Statistical Phsyics (2007) (0)
KRICHEVER-NOVIKOV TYPE ALGEBRAS — PERSONAL RECOLLECTIONS OF JULIUS WESS (2012) (0)
Back Matter for Volume 1079 (2008) (0)
Superconducting Properties of the Lead‐Containing 2212 Phase Bi1.75Pb0. 25Sr2CaCu2O8+z with Tc in the Range 70‐98 K. (1991) (0)
Mathematik als universeller Schluessel komplexer Systeme (2016) (0)
3. The almost-grading (2014) (0)
2. The higher genus algebras (2014) (0)
A global operator approach to WZNW models via KN type algebras (2013) (0)
Classification of central extensions of Lax operator algebras (2008) (0)
Berezin-Toeplitz quantization of moduli spaces (2009) (0)
Multi-point Krichever-Novikov type algebras (2015) (0)
XXVIII Workshop on Geometrical Methods in Physics, Bialowieza, Poland, 28 June - 4 July 2009 (2009) (0)
The System ((Bi,Pb)O)2Sr2Bi2Fe3O10+z (1989) (0)
Recent Developments in Quantuzation. Proceedings of the XXI Workhsop on Geometric Methods in Physics, Bialowieza June 2002 (2004) (0)
Diffierentials and Integration (2007) (0)
System (AO)mM2B2n-2FenO4n+z with m = 2 and n = 1, 2 for A: Bi, Pb and M, B: Sr. (1989) (0)
A new stacking polytype in the system Bi-Pb-Sr-Cu-O (1990) (0)
Composition and superconductivity in single layer Bi-2201 phases† (1992) (0)
Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case (2021) (0)
The Theorem of Riemann–Roch for Line Bundles (2007) (0)
HIGHER GENUS RIEMANN SURFACES 1 (1998) (0)
HIGH T c SUPERCONDUCTORS IN THE SYSTEM Bi–Pb–Sr–Ca–Cu–O (1989) (0)
Canonically defined star products for Kaehler manifolds (2017) (0)
1. Some background on Lie algebras (2014) (0)
Abel-Preis für Mathematiker Mischa Gromov (2009) (0)
Coherent states, differential and quantum goemetry, Proceedings of Bialowieza workshop on Geometric Methods in Physics, June 30-Jly6, 1997 (1999) (0)
Berezin's coherent states, symbols and transform revisited (2011) (0)
Proceedings of the 4th Conference on Poisson Geometry 2004 Travaux mathématiques, Vol. XVI (2005) (0)
Coherent states, quantization and gravity : proceedings of the XVII Workshop on Geometric Methods in Physics, Białowieża, July 3 - 9, 1998 (2001) (0)
14. Some related developments (2014) (0)
Toeplitz operators and TQFT (2012) (0)
W_(1+\infty) algebras (2000) (0)
Canonical ways to quantize Kaehler manifolds (2016) (0)
ABELIAN CONNECTION IN FEDOSOV DEFORMATION QUANTIZATION (2007) (0)
Front Matter for Volume 1191 (2009) (0)
Quantisierung - 3 Vortraege (2010) (0)
Travaux mathematiques, Scientific contributions of the Centre for Quantum Geometry of Moduli Spaces, AQM Aarhus Denmark (2017) (0)
BT Quantization on K3 Surfaces (2015) (0)
Gl(1), Diff a S 2 , Diff a T 2 and Su(n)-approximation (1991) (0)
Lie superalgebras of Krichever–Novikov type and their central extensions (2013) (0)
TopoModern Algebraic Geometry (2007) (0)
The Mumford Isomorphism on the Moduli Space (2007) (0)
Influence of the Preparation Technique on Tc in the High Tc Superconductor Bi3/2Pb1/2Sr2CaCu2Oy. (1989) (0)
Deformation quantization for almost-K¨ahler manifolds (2004) (0)
Geometry and quantization. Lectures presented at the 3rd international school and conference, Geoquant, Luxembourg City, Luxembourg, August 31--September 5, 2009. (2011) (0)
Back Matter for Volume 1191 (2009) (0)
Hodge Decomposition and K¨ahler Manifold (2007) (0)
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. (2010) (0)
6. Central extensions of Krichever–Novikov type algebras (2014) (0)
N -point Virasoro Algebras Considered as Krichever–Novikov Type Algebras (2016) (0)
More about Berezin-Toeplitz quantization II (2011) (0)
Symmetrien in der Natur. Was sagt uns die Mathematik hierzu (2009) (0)
Bahnbrechende Leistungen. "Nobelpreis in Mathematik": Abelpreis an Thompson und Tits (2008) (0)
Proceedings of the XXVII Workshop on Geometric Methods in Physics, Bialowieza July 2008 (2007) (0)
TOEPLITZ QUANTIZATIONANDBEREZIN SYMBOLS FOR ARBITRARY COMPACT K AHLER MANIFOLDS (2006) (0)
Operaden und Vertexalgebren (1997) (0)
Almost K ¨ Ahler Deformation Quantization (2001) (0)
Vector Bundles, Sheaves and Cohomology (2007) (0)
Krichever-Novikov Type Algebras and Wess-Zumino-Novikov-Witten Models (2018) (0)
12. Degenerations and deformations (2014) (0)
Berezin symbols and Berezin transform revisited (2010) (0)
Die Clay Milleniumsprobleme und ihr historischer Vorgänger die 23 mathematischen Probleme von Hilbert aus dem Jahr 1900 (2011) (0)
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 (2006) (0)
4. Fixing the basis elements (2014) (0)
ICAMI 2017: International Conference on Applied Mathematics and Informatics: Forum on Analysis, Geometry, and Mathematical Physics (2018) (0)
Non-integral torsion and 1-dimensional singular sheaves in the Simpson moduli space (2015) (0)
Tori and Jacobians (2007) (0)
Berezin-Toeplitz quantization of compact Kaehler manifolds and its application (2012) (0)
Quasikristalle und Pisot-Zahlen (1996) (0)
several entries in the field algebra, algebraic topology, homological algebra, categories (2003) (0)
Krichever-Novikov type algebras and Wess-Zumino-Witten models (2015) (0)
An Introduction to KN type algebras - A lecture course (5 lectures) (2018) (0)
Geometric methods in physics : XXXIII workshop, Białowieża, Poland, June 29-July 5, 2014 (2015) (0)
11. Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection (2014) (0)
Introduction to Berezin-Toeplitz quantization (3 Lectures) (2017) (0)
The Phase ((Bi, Pb)O)2Sr2BiFe2O7+z (1989) (0)
9. Affine algebras (2014) (0)
Geometric methods in physics : xxx workshop, Białowieża, Poland, June 26 to July 2, 2011 (2013) (0)
Degenerations of generalized KNN algebras on tori (1992) (0)
Quasikristalle - 10 zaehlige Symmetrien gibt es nicht - oder doch (2014) (0)
The High Tc Phase (n = 3) in the Bi-Pb-Sr-Ca-Cu-O System. (1990) (0)
Deformation Methods in Mathematics and Physics (2010) (0)
Introduction to Berezin-Toeplitz quantization (2017) (0)
Front Matter for Volume 1307 (2010) (0)
XXIX Workshop on Geometric Methods in Physics : 27 June-3 July 2010, Białowieża, Poland (2010) (0)
5. Explicit expressions for a system of generators (2014) (0)
Berezin-Toeplitz quantization - a lecture course of 5 lectures (2016) (0)
An introduction to Krichever-Novikov type algebras (2010) (0)
Algebra, Algebraische Topologie (2001) (0)
10. The Sugawara construction (2014) (0)
Front Matter for Volume 1079 (2008) (0)
On Compact Riemann Surfaces (1993) (0)
Almost-graded extensions of Lax operator algebras (2009) (0)
DEFORMATIONS OF THE VIRASORO ALGEBRA OF KRICHEVER (cid:150) NOVIKOV TYPE (2006) (0)
DEFORMATIONS OF THE VIRASORO ALGEBRA OF KRICHEVER (cid:150) NOVIKOV TYPE (2006) (0)
Approximation of Infinite-dimensional Algebras and Geometric Quantization (1991) (0)
Influence of the Preparation Technique on the Electrical Properties of the 2212 High Tc Superconductor Bi1.75Pb0.25Sr2CaCu2O8+z. (1990) (0)
Geometric Methods in Physics, XXXIII workshop Bialowieza, Poland (2015) (0)
Basic Algebraic Structures - Lecture notes for the MICS (2017) (0)
Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds (2018) (0)
Symmetries and infinite dimensional Lie algebras (2013) (0)
Back Matter for Volume 1307 (2010) (0)
13. Lax operator algebras (2014) (0)

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