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Publications
2022
Comparison theorems for Kan, faintly universal and strongly universal derived functors; ;
in Surveys in Mathematics and its Applications (2022), 17
Indeterminacies and models of homotopy limits; ;
in Theory and Applications of Categories (2022), 38(41), 1608-1635
A new approach to model categorical homotopy fiber sequences; ;
in Dissertationes Mathematicae (2022), doi: 10.4064/dm858-5-2022
The Tor Spectral Sequence and Flat Morphisms in Homotopical D-Geometry; ;
E-print/Working paper (2022)
Differential graded Lie groups and their differential graded Lie algebras; ; ;
in Transformation Groups (2022), 10.1007/s00031-021-09666-9
Quantizations of Lie bialgebras, duality involution and oriented graph complexes;
in Letters in Mathematical Physics (2022), DOI 10.1007(s11005-022-01505-6),
Prop of ribbon hypergraphs and strongly homotopy involutive Lie bialgebrasin International Mathematics Research Notices (2022), rnac023
Les algebres de type Krichever - Novikov.: Definitions et resultatsin Makhlouf, Abdenacer (Ed.) Algebre et applications 1 (2022)
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)
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)
2021
From deformation theory of wheeled props to classification of Kontsevich formality maps;
in International Mathematical Research Notices (2021), rnab012
Linear Z2n-Manifolds and Linear Actions; ;
in Symmetry, Integrability and Geometry: Methods and Applications (2021), 17(060), 58
Local Forms of Morphisms of Colored Supermanifolds; ;
in Journal of Geometry and Physics (2021), 168
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules;
in Banach Center Publications (2021), 123
Grothendieck-Teichmueller group, operads and graph complexes: a surveyin Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry (2021)
Krichever-Novikov type algebras. Definition and Resultsin Makhlouf, Abdenacer (Ed.) Non-associative Algebras and Categories (2021)
2020
The Schwarz-Voronov embedding of Z_2^n - manifolds; ;
in Symmetry, Integrability and Geometry: Methods and Applications (2020), 16(002), 47
Functional analytic issues in Z_2 ^n Geometry;
in Revista de la Union Matematica Argentina (2020), 60(2), 611-636
Multi-oriented props and homotopy algebras with branesin Letters in Mathematical Physics (2020), 110
Classification of universal formality maps for quantizations of Lie bialgebras;
in Compositio Mathematica (2020), 156(10), 2111-2148
N point Virasoro algebras considered as Krichever - Novikov type algebrasScientific Conference (2020, February 04)
2019
Products in the category of Z_2^n manifolds;
in Journal of Nonlinear Mathematical Physics (2019), 26(3), 420-453
Homotopical algebraic context over differential operators; ;
in Journal of Homotopy and Related Structures (2019), 14(1), 293-347
Canonical quantization for compact quantizable Kaehler manifoldsScientific Conference (2019, May 02)
Krichever-Novivkov type algebras. A general review and the genus zero caseE-print/Working paper (2019)
N point Virasoro algebras are multi-point Krichever Novikov type algebrasScientific Conference (2019, March 19)
N point Virasoro algebras are multi-point Krichever Novikov type algebrasScientific Conference (2019, June 28)
Some naturally defined star products for Kaehler manifoldsScientific Conference (2019, September 10)
2018
Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators; ;
in Journal of Homotopy and Related Structures (2018), 13(4), 793-846
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra;
in Journal of Physics. Conference Series (2018)
Deformation theory of Lie bialgebra properads;
in Geometry and Physics: A Festschrift in honour of Nigel Hitchin (2018)
An explicit two step quantization of Poisson structures and Lie bialgebras;
in Communications in Mathematical Physics (2018), 364(2), 505578
Homotopical Geometry over Differential Operators and Batalin-Vilkovisky ComplexDoctoral thesis (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)
Homotopical Geometry over Differential Operators and Batalin-Vilkovisky ComplexPresentation (2017, December 18)
An elementary proof of the formal rigidity of the Witt and Virasoro algebraScientific Conference (2017, December 19)
N-point Virasoro algebras are multipoint Krichever-Novikov-type algebrasin Communications in Algebra (2017), 45
Travaux mathematiques, Scientific contributions of the Centre for Quantum Geometry of Moduli Spaces, AQM Aarhus DenmarkBook published by University of Luxembourg (2017)
2016
Determinants over graded-commutative algebras, a categorical viewpoint;
E-print/Working paper (2016)
A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quarticsE-print/Working paper (2016)
On different approaches to compute the Chern classes of a tensor product of two vector bundlesE-print/Working paper (2016)
On the singular 1-dimensional planar sheaves supported on quarticsin Rendiconti dell'Istituto di Matematica dell'Università di Trieste (2016)
On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves;
in Canadian Mathematical Bulletin (2016)
Free Courant and Derived Leibniz Pseudoalgebras; ;
in Journal of Geometric Mechanics (2016), 8(1), 71-97
Formality Theorem for Quantizations of Lie Bialgebrasin Letters in Mathematical Physics (2016), 106(2), 169-195
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 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)
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)
Some naturally defined star products for K\"ahler manifoldsScientific Conference (2016, February 18)
A bicategory of reduced orbifolds from the point of view of differential geometryin Journal of Geometry and Physics (2016), 108
Some insights on bicategories of fractions: representations and compositions of 2-morphismsin Theory and Applications of Categories (2016), 31(10), 257-329
Moduli stacks of algebraic structures and deformation theoryin Journal of Noncommutative Geometry (2016)
2015
Grothendieck-Teichmueller group and Poisson cohomologies;
in Journal of Noncommutative Geometry (2015), 9(1), 185-214
Model categorical Koszul-Tate resolution for algebras over differential operators; ;
E-print/Working paper (2015)
Model structure on differential graded commutative algebras over the ring of differential operators; ;
E-print/Working paper (2015)
On symbolic computations with Chern classes: remarks on the library chern.lib for SingularE-print/Working paper (2015)
On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quarticsin Rendiconti dell'Istituto di Matematica dell'Università di Trieste (2015)
Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheavesin Communications in Algebra (2015), 43(2), 812-828
Non-integral torsion and 1-dimensional singular sheaves in the Simpson moduli spacePoster (2015, June 01)
Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves M_g,n;
E-print/Working paper (2015)
5D super Yang-Mills on Yp,q Sasaki-Einstein manifolds;
in Communications in Mathematical Physics (2015), 333(2),
Lie Superalgebras of Krichever-Novikov typein KIelanowski, Piotr; Bieliavsky, Pierre; Odzijewicz, Anatol; Schlichenmaier, Martin; Voronov, Theodore (Eds.) Geometric Methods in Physics, Bialowieza XXXIII (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 algebrasE-print/Working paper (2015)
N-point Virasoro algebras are multi-point Krichever-Novikov type algebrasScientific Conference (2015, June 28)
Geometric Methods in Physics, XXXIII workshop Bialowieza, Poland; ; ; ;
Book published by Birkhaeuser (2015)
Commutative n-ary superalgebras with an invariant skew-symmetric formin Journal of Geometry and Physics (2015), 98
On n-ary Lie Algebras of Type (r, l)in Kielanowski, Piotr; Bieliavsky, Pierre; Odzijewicz, Anatol; Schlichenmaier, Martin; Voronov, Theodore (Eds.) Geometric Methods in Physics (2015)
On the splitting problem for complex homogeneous supermanifoldsin Journal of Lie Theory (2015), 25(2), 459476
Maurer-Cartan spaces of filtered L-infinity algebrasin Journal of Homotopy and Related Structures (2015)
Moduli stacks of algebraic structures and deformation theoryin Journal of Noncommutative Geometry (2015)
Warped products and Yang-Mills equations on noncommutative spacesin Letters in Mathematical Physics (2015), 105(2), 221243
2014
Quantization of Poisson manifolds from the integrability of the modular function; ; ;
in Communications in Mathematical Physics (2014), 331(2), 851885
Algebraic renormalization and Feynman integrals in configuration spaces;
in Advances in Theoretical and Mathematical Physics (2014), 18(2), 469-511
Universal plane curve and moduli spaces of 1-dimensional coherent sheavesE-print/Working paper (2014)
On the infinity category of homotopy Leibniz algebras; ;
in Theory and Applications of Categories (2014), 29(12), 332-370
Grothendieck-Teichmueller and Batalin-Vilkovisky;
in Letters in Mathematical Physics (2014), 104(5), 625-634
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
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
Quasikristalle - 10 zaehlige Symmetrien gibt es nicht - oder dochConference given outside the academic context (2014)
Geometric Methods in Physics, XXXII Workshop Bialowieza, Poland, Jnue 30 - July 6, 2-13; ; ; ;
Book published by Springer (2014)
On complex analytic 1|3-dimensional supermanifolds associated with CP^1in Proceedings of the XXXII Workshop on Geometric Methods in Physics (2014)
Rozansky-Witten-type invariants from symplectic Lie pairs;
in Communications in Mathematical Physics (2014)
Classifying spaces of algebras over a propin Algebraic and Geometric Topology (2014), 14(5), 2561--2593
The homotopy theory of bialgebras over pairs of operadsin Journal of Pure and Applied Algebra (2014), 218(6), 973-991
Simplicial localization of homotopy algebras over a propin Mathematical Proceedings of the Cambridge Philosophical Society (2014), 157(3), 457468
2013
Wilson Lines from Representations of NQ-Manifolds; ;
in International Mathematics Research Notices (2013), 2013(24),
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)
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)
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
Some naturally defined star products on K\"ahler manifoldsScientific Conference (2013, September 10)
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)
A bicategory of reduced orbifolds from the point of view of differential geometry - IE-print/Working paper (2013)
A classiffcation theorem and a spectral sequence for a locally free sheaf cohomology of a supermanifoldin Geometric Methods in Physics, XXX Workshop 2011 (2013)
Even-homogeneous supermanifolds on the complex projective line.in Differential Geometry and its Applications (2013), 31
Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheresin Reviews in Mathematical Physics (2013), 25(05), 1350009
2012
Nikolai Neumaier; ; ; ;
Book published by Fac. Sci. Technol. Commun. Univ. Luxemb., Luxembourg (2012)
Solution of implicit differential equations using desingularization theoryBachelor/master dissertation (2012)
Feynman integrals and motives of configuration spaces;
in Communications in Mathematical Physics (2012), 313
Higher trace and Berezinian of matrices over a Clifford algebra; ;
in Journal of Geometry and Physics (2012), 62(11), 22942319
The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere; ;
in Journal of High Energy Physics (2012), 157
Berezin-Toeplitz quantization and star products for compact Kähler manifoldsin Contemporary Mathematics 583. Mathematical aspects of quantization (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
2011
Geometric structures encoded in the Lie structure of an Atiyah algebroid; ;
in Transformation Groups (2011), 16(1), 137--160
Vector Bundles on Elliptic Curves and Factors of Automorphyin Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics (2011), 43
Higher categorified algebras versus bounded homotopy algebras; ;
in Theory and Applications of Categories (2011), 25
Operads, configuration spaces and quantizationin Bulletin of the Brazilian Mathematical Society (2011), 42(4), 683781
Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complexin Higher structures in geometry and physics (2011)
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications;
in Archivum Mathematicum (2011), 47
Berezin - Toeplitz quantization for compact Kähler manifolds. An introductionin Travaux Mathématiques (2011), 19
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)
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
Strongly r-matrix induced tensors, Koszul cohomology and arbitrary-dimensional quadratic Poisson cohomology; ; ;
in Pacific Journal of Mathematics (2010), 245(1), 1--23
Coalgebraic approach to the Loday infinity category, stem differential for 2n-ary graded and homotopy algebras;
in Annales de l'Institut Fourier (2010), 60(1), 355--387
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)
Wheeled Pro(p)file of Batalin-Vilkovisky formalismin Communications in Mathematical Physics (2010), 295(3), 585638
Equivariant quantization of orbifolds; ;
in Journal of Geometry and Physics (2010), 60(9), 1103--1111
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)
Wheeled PROPs, graph complexes and the master equation; ;
in Journal of Pure and Applied Algebra (2009), 213(4), 496-535
Graph complexes with loops and wheelsin Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. (2009)
Deformation theory of representations of prop(erad)s. I.;
in Journal für die Reine und Angewandte Mathematik (2009), 634
Deformation theory of representations of prop(erad)s. II.;
in Journal für die Reine und Angewandte Mathematik (2009), 636
A first approximation for quantization of singular spaces; ;
in Journal of Geometry and Physics (2009), 59(4), 503--518
Classification of central extensions of Lax operator algebrasin Proceedings of the XXVII Workshop on Geometric Methods in Physics (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)
Symmetrien in der Natur. Was sagt uns die Mathematik hierzuConference given outside the academic context (2009)
2008
Formal Poisson cohomology of twisted r-matrix induced structures;
in Israel Journal of Mathematics (2008), 165
Géométrie des courbes et des surfaces moyennant la théorie des repères mobiles d'Élie Cartan;
Learning material (2008)
Decomposition of symmetric tensor fields in the presence of a flat contact projective structure; ;
in Journal of Nonlinear Mathematical Physics (2008), 15(2), 252--269
Dequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fields; ;
E-print/Working paper (2008)
Proceedings of the 8th Conference on Geometry and Topology of Manifolds; ;
Book published by Faculty of Science, Technology and Communication, University of Luxembourg (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)
On a general approach to the formal cohomology of quadratic Poisson structures;
in Journal of Pure and Applied Algebra (2007), 208(3), 887--904
Berezin-Toeplitz quantization of the moduli space of flat SU(N) connectionsin Journal of Geometry and Symmetry in Physics (2007), 9
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)
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces 2nd enlarged editionBook published by Springer (2007)
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)
Deformations of the Virasoro algebra of Krichever-Novikov typein Journal of Geometry and Symmetry in Physics (2006), 5
Higher genus affine Lie algebras 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
Derivations of the Lie algebras of differential operators;
in Indagationes Mathematicae (2005), 16(2), 181--200
Proceedings of the 4th Conference on Poisson Geometry 2004 Travaux mathématiques, Vol. XVI; ;
Book published by University of Luxembourg (2005)
On the Chevalley-Eilenberg cohomology of some infinite-dimensional algebras of geometric originScientific Conference (2005)
2004
Automorphisms of quantum and classical Poisson algebras;
in Compositio Mathematica (2004), 140(2), 511-527
Lie algebraic characterization of manifolds;
in Central European Journal of Mathematics (2004), 2(5), 811--825
Equivariant operators between some modules of the Lie algebra of vector fieldsin Communications in Algebra (2004), 32(7), 2559--2572
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
Proceedings of the Conference on Harmonic Analysis 2002; ; ;
Book published by Faculty of Science, Technology and Communication, University of Luxembourg (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)
2002
Equivariant symbol calculus for differential operators acting on forms; ; ;
in Letters in Mathematical Physics (2002), 62(3), 219-232
2001
Identification of Berezin-Toeplitz deformation quantization,;
in Journal für die Reine und Angewandte Mathematik (2001), 540
On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifoldin Journal of Algebra (2001), 243(1), 16-40
Premiers espaces de la cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variétéin Bulletin of the Belgian Mathematical Society Simon Stevin (2001), 8(1), 141-146
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
Cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (1999), 328(9), 789--794
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
Cohomologie de Chevalley-Eilenberg de l'algèbre des opérateurs locaux sur l'espace des fonctions d'une variétéin Travaux Mathématiques (1998), X
Premier et deuxième espaces de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 291--337
Troisième espace de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 339--393
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
1990
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
Krichever-Novikov algebras for more than two points: explicit generatorsin Letters in Mathematical Physics (1990), 19(4), 327-336
1989
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli SpacesBook published by Springer (1989)
1983
1981
Problèmes aux limites C-infini bien posés pour les systèmes hyperboliques à coefficients constantsBachelor/master dissertation (1981)
