Sylvie Paycha
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French mathematician
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Sylvie Paychamathematics Degrees
Mathematics
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#7049
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Measure Theory
#4349
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#5117
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Mathematics
Sylvie Paycha's Degrees
- PhD Mathematics Université Paris Cité
Why Is Sylvie Paycha Influential?
(Suggest an Edit or Addition)According to Wikipedia, Sylvie Paycha is a French mathematician and mathematical physicist working in operator theory as a professor at the University of Potsdam. She has chaired both European Women in Mathematics and L'association femmes et mathématiques.
Sylvie Paycha'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
- Traces in Number Theory, Geometry and Quantum Fields (2007) (71)
- A Laurent Expansion for Regularized Integrals of Holomorphic Symbols (2005) (63)
- Nested sums of symbols and renormalized multiple zeta values (2010) (59)
- Geometric and Topological Methods for Quantum Field Theory (2007) (55)
- The canonical trace and the noncommutative residue on the noncommutative torus (2013) (36)
- Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups (2000) (35)
- Regularised Integrals, Sums, and Traces: An Analytic Point of View (2012) (34)
- Algebraic Birkhoff Factorization and the Euler-Maclaurin Formula on Cones (2013) (31)
- RENORMALIZED TRACES AS A LOOKING GLASS INTO INFINITE-DIMENSIONAL GEOMETRY (2001) (28)
- A Mathematical Introduction to String Theory (1997) (26)
- From Tracial Anomalies to Anomalies in Quantum Field Theory (2002) (24)
- A mathematical introduction to string theory : variational problems, geometric and probabilistic methods (1997) (23)
- Shuffle Relations for Regularised Integrals of Symbols (2005) (23)
- Uniqueness of multiplicative determinants on elliptic pseudodifferential operators (2007) (23)
- Curvature on determinant bundles and first Chern forms (2000) (21)
- Conical zeta values and their double subdivision relations (2013) (20)
- An algebraic formulation of the locality principle in renormalisation (2017) (15)
- A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles (2015) (14)
- Renormalisation and locality: branched zeta values (2018) (14)
- The noncommutative residue and canonical trace in the light of Stokes' and continuity properties (2007) (14)
- Stokes' formulae on classical symbol valued forms and applications (2005) (13)
- Stochastic Tools on Hilbert Manifolds: Interplay with Geometry and Physics (1997) (12)
- CONFORMAL ANOMALIES VIA CANONICAL TRACES (2005) (12)
- Renormalization and the Euler-Maclaurin formula on cones (2013) (11)
- An explicit Laurent expansion for regularised integrals of holomorphic symbols (2005) (11)
- Locality and renormalization: Universal properties and integrals on trees (2018) (11)
- Regularisable and Minimal Orbits for Group Actions in Infinite Dimensions (1995) (11)
- A global and stochastic analysis approach to bosonic strings and associated quantum fields (1992) (10)
- Renormalised Chen integrals for symbols on Rn and renormalised polyzeta functions (2006) (9)
- Nested sums of symbols and renormalised multiple zeta functions (2007) (9)
- Geometric Methods for Quantum Field Theory (2001) (9)
- European Women in Mathematics (2003) (8)
- Proceedings of the Summer school geometric methods for quantum field theory : Villa de Leyva, Colombia 12-30 July 1999 (2001) (7)
- THE LOGARITHMIC RESIDUE DENSITY OF A GENERALIZED LAPLACIAN (2010) (7)
- On Chern-Weil forms associated with superconnections (2006) (7)
- Renormalised Chern Weil forms associated with families of Dirac operators (2006) (6)
- Path space measure for the liouville quantum field theory and the construction of relativistic strings (1986) (6)
- Weighted trace cochains; a geometric setup for anomalies (2005) (6)
- Renormalisation via locality morphisms (2018) (6)
- Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules (2015) (5)
- Geometric and Topological Methods for Quantum Field Theory: Paths towards an extension of Chern–Weil calculus to a class of infinite dimensional vector bundles (2013) (5)
- A probability measure for random surfaces of arbitrary genus and bosonic strings in 4 dimensions (1989) (5)
- A Mathematical Introduction to String Theory: Cauchy–Riemann operators (1997) (5)
- RENORMALIZED TRACES AS A GEOMETRIC TOOL (2001) (5)
- Chern-Weil calculus extended to a class of infinite dimensional manifolds (2007) (5)
- Double shuffle relations and renormalization of multiple zeta values (2009) (5)
- Zeta-Regularized Traces Versus the Wodzicki Residue as Tools in Quantum Field Theory and Infinite Dimensional Geometry (2004) (4)
- A Mathematical Introduction to String Theory: Introduction (1997) (4)
- Renormalization of conical zeta values and the Euler-Maclaurin formula (2017) (4)
- A Canonical Trace Associated with Certain Spectral Triples (2010) (4)
- Elliptic operators in the functional quantisation for gauge field theories (1995) (3)
- Decompositions and residue of meromorphic functions with linear poles in the light of the geometry of cones (2015) (3)
- Smooth Rough Paths, Their Geometry and Algebraic Renormalization (2021) (3)
- RENORMALIZED LAPLACIANS ON A CLASS OF HILBERT MANIFOLDS AND A BOCHNER–WEITZENBÖCK TYPE FORMULA FOR CURRENT GROUPS (2000) (3)
- Counting an infinite number of points: a testing ground for renormalization methods (2015) (3)
- Factorisation of semi-martingales on principal fibre bundles and the faddeev-popov procedure in theories (1995) (3)
- Renormalised conical zeta values (2016) (3)
- Geometric and topological methods for quantum field theory : Summer School on Geometric and Topological Methods for Quantum Field Theory, July 11-29, 2005, Villa de Leyva, Colombia (2007) (3)
- Second) Quantised resolvents and regularised traces (2007) (2)
- Tensor products and the Milnor-Moore theorem in the locality setup (2022) (2)
- The Campbell-Hausdorff formula for pseudo-differential operators revisited. Applications to determinants (2007) (2)
- A Mathematical Introduction to String Theory: Zeta-function and heat-kernel determinants of an operator (1997) (2)
- The cut-off regularised integral (2012) (2)
- The Faddeev-Popov procedure and application to bosonic strings: An infinite dimensional point of view (1992) (2)
- Discrete sums of classical symbols on Z^d and zeta functions associated with Laplacians on tori (2007) (2)
- European women in mathematics : proceedings of the 13th General Meeting, University of Cambridge, UK, 3-6 September 2007 (2010) (2)
- From Orthocomplementations to Locality (2021) (2)
- Renormalised iterated integrals of symbols with linear constraints (2007) (1)
- Introductory Article: Functional Analysis (2006) (1)
- ProPs of graphs and generalised traces (2020) (1)
- The Multiplicative Anomaly for Determinants Revisited; Locality (2007) (1)
- From non-unitary wheeled PROPs to smooth amplitudes and generalised convolutions (2021) (1)
- Chern-Weil Constructions on ΨDO Bundles (2003) (1)
- Go to the Board (2008) (1)
- When the Market Wins Over Research and Higher Education (2018) (1)
- Proceedings of the summer school geometric and topological methods for quantum field theory : Villa de Leyva, Colombia 9-27 July 2001 (2003) (1)
- Bosonic Strings and Measures on Infinite Dimensional Manifolds (1990) (1)
- Steven Lord, Fedor Sukochev, Dmitriy Zanin: “Singular Traces, Theory and Applications” (2014) (1)
- Some remarks about cosymplectic metrics on maximal flag manifolds (2010) (1)
- Chern-Weil Constructions on $\Psi$DO Bundles (2003) (1)
- Introductory Article: Differential Geometry (2006) (0)
- Quantization, Geometry and Noncommutative Structures in Mathematics and Physics (2017) (0)
- From Stokes' formula to cyclic Hochschild cocycles on classical symbols (2004) (0)
- Mini-Workshop: Geometry and Duality in String Theory (2004) (0)
- European Women in Mathematics : proceedings of the Tenth General Meeting : Malta 24-30 August 2001 (2003) (0)
- Locality Galois groups of meromorphic germs in several variables (2023) (0)
- A Mathematical Introduction to String Theory: Small time asymptotics for heat-kernel regularized determinants (1997) (0)
- A Mathematical Introduction to String Theory: Quantization by functional integrals (1997) (0)
- Mathematical Reflections on Locality (2023) (0)
- A Mathematical Introduction to String Theory: Topological and metric structures on the space of mappings and metrics (1997) (0)
- The canonical integral and noncommutative residue on symbols (2012) (0)
- Renormalised multiple zeta values which respect quasi-shuffle relations (2009) (0)
- A Mathematical Introduction to String Theory: Gaussian measures and random fields (1997) (0)
- A Mathematical Introduction to String Theory: Index (1997) (0)
- Principal bundle groupoids, their gauge group and their nerve (2021) (0)
- A Mathematical Introduction to String Theory: Formal Lebesgue measures on Hilbert spaces (1997) (0)
- O ct 2 01 8 RENORMALISATION AND LOCALITY : BRANCHED ZETA VALUES (2018) (0)
- Interview with Pierre Cartier (2017) (0)
- A Mathematical Introduction to String Theory: The Faddeev–Popov procedure for bosonic strings (1997) (0)
- The canonical sum on noninteger order classical symbols (2012) (0)
- eb 2 00 7 Chen sums of symbols and renormalised multiple zeta values (2008) (0)
- A Mathematical Introduction to String Theory: Preface (1997) (0)
- A topological splitting of the space of meromorphic germs in several variables and continuous evaluators (2022) (0)
- A Mathematical Introduction to String Theory: The Faddeev–Popov procedure (1997) (0)
- Deformation Quantisation and Connections (2009) (0)
- Functional quantization of the Høegh-Krohn and Liouville models on a compact surface (1997) (0)
- 1 1 D ec 2 00 9 Nested sums of symbols and renormalised multiple zeta values (2011) (0)
- Spectral 𝜁-invariants lifted to coverings (2016) (0)
- A Mathematical Introduction to String Theory: Determinant bundles (1997) (0)
- An algebraic formulation of the locality principle in renormalisation (2018) (0)
- A Mathematical Introduction to String Theory: Correlation functions (1997) (0)
- Anomalies of regularised determinants (2012) (0)
- Quantization of bosonic closed strings and the Liouville model (1989) (0)
- Steven Lord, Fedor Sukochev, Dmitriy Zanin: “Singular Traces, Theory and Applications” (2014) (0)
- 2 6 A pr 2 00 6 Renormalised Chen integrals for symbols on R n and renormalised polyzeta ∗ functions (2008) (0)
- A Mathematical Introduction to String Theory: Chern classes of determinant bundles (1997) (0)
- Communications in Mathematical Physics From Tracial Anomalies to Anomalies in Quantum Field Theory (2003) (0)
- Interview with Pierre Cartier (2016) (0)
- Traces on pseudodifferential operators (2012) (0)
- From orthocomplementations to locality lattices (2020) (0)
- A Mathematical Introduction to String Theory: Harmonic maps and global structures (1997) (0)
- 20 06 Shuffle relations for regularised integrals of symbols (2008) (0)
- A Mathematical Introduction to String Theory: The Polyakov measure (1997) (0)
- Residue formulae for Verlinde sums, and for number of integral points in convex rational polytopes (2006) (0)
- A Mathematical Introduction to String Theory: The two-dimensional Plateau problem (1997) (0)
- Divergent multiple sums and integrals with constraints: a comparative study (2011) (0)
- The Polyakov measure in the critical dimension d=26 (1997) (0)
- Lifted trace defect formulae on coverings (2016) (0)
- Prelude: A General Overview (2017) (0)
- Renormalised Multiple Integrals of Symbols with Linear Constraints (2009) (0)
- From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques (2001) (0)
- 2 2 Ju l 2 00 2 From tracial anomalies to anomalies in Quantum Field Theory (2003) (0)
- Mini-Workshop: Zeta Functions, Index and Twisted K-Theory; Interactions with Physics (2006) (0)
- Geometric and Topological Methods for Quantum Field Theory: List of contributors (2010) (0)
- A Mathematical Introduction to String Theory: The Polyakov measure in noncritical dimension and the Liouville measure (1997) (0)
- A pseudodifferential analytic perspective on Getzler's rescaling (2023) (0)
- A Mathematical Introduction to String Theory: The Gaussian integration on the space of embeddings (1997) (0)
- The noncommutative residue as a complex residue (2012) (0)
- The Gamma function extended to nonpositive integer points (2012) (0)
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