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papers

Publications (46)

math.CV2000

Convergence of formal equivalences of hypersurfaces

Joel Merker

math.CV2013

Equivalences of 5-dimensional CR-manifolds V: Six initial frames and coframes; Explicitness obstacles

Joel Merker

math.CV2000

Study of the formal CR reflection mapping

Joel Merker

math.CV2004

Global minimality of generic manifolds and holomorphic extendibility of CR functions

Joel Merker

math.DG2006

Explicit differential characterization of the Newtonian free particle system in m > 1 dependent variables

Joel Merker

math.CV2000

On the convergence of S-nondegenerate formal CR maps

Joel Merker

math.CV2014

Canonical Cartan Connections on Maximally Minimal Generic Submanifolds M^5 in C^4

Joel Merker, Samuel Pocchiola, Masoud Sabzevari

math.CV2004

Wedge extendability of CR-meromorphic functions: the minimal case

Joel Merker, Egmont Porten

math.CV2013

Equivalences of 5-dimensional CR-manifolds IV: Six ambiguity matrix groups (Initial G-structures)

Joel Merker

math.CV2000

Vector field construction of Segre sets

Joel Merker

math.CV1999

Metrically thin singularities of integrable CR functions

Joel Merker, Egmont Porten

math.HO2014

Curvature of surfaces in euclidean 3-space: philosophical analysis of Gauss' Theorema Egregium

Joel Merker

math.DG2010

Theory of Transformation Groups, by S. Lie and F. Engel (Vol. I, 1888). Modern Presentation and English Translation

Joel Merker

math.CV2007

I: Lie symmetries of partial differential equations and CR geometry

Joel Merker

math.CV2009

Vanishing Hachtroudi curvature and local equivalence to the Heisenberg sphere

Joel Merker

math.HO2008

On Wittgenstein's philosophy of mathematics

Joel Merker

math.CV2004

On removable singularities for CR functions in higher codimension

Joel Merker

math.AG2014

Complex projective hypersurfaces of general type: toward a conjecture of Green and Griffiths

Joel Merker

math.DG2004

Four explicit formulas for the prolongations of an infinitesimal Lie symmetry and multivariate Faa di Bruno formulas

Joel Merker

math.CV2004

On the local algebraizability of real analytic generic submanifolds of C^n

Herve Gaussier, Joel Merker

math.CV2014

Cartan equivalences for 5-dimensional CR-manifolds in C^4 belonging to General Class III_1

Masoud Sabzevari, Joel Merker

math.DG2014

Lie algebras of infinitesimal CR-automorphisms of finite type, holomorphically nondegenerate, weighted homogeneous CR-generic submanifolds of C^N

Masoud Sabzevari, Amir Hashemi, Benyamin M. -Alizadeh +1

math.NT2012

Multizeta Calculus (I)

Joel Merker

math.HO2010

Sophus Lie, Friedrich Engel and the Riemann-Helmholtz problem

Joel Merker

math.CV2004

On the partial algebraicity of holomorphic mappings between real algebraic sets

Joel Merker

math.CV2007

The Hartogs extension theorem on (n-1)-complete complex spaces

Joel Merker, Egmont Porten

math.AG2013

Siu-Yeung jet differentials on complete intersection surfaces X^2 in P^4(C)

Joel Merker

math.CV2004

Propagation of analyticity for essentially finite C^infty-smooth CR mappings

Joel Merker

math.AG2010

Effective algebraic degeneracy

Simone Diverio, Joel Merker, Erwan Rousseau

math.AG2008

Low pole order frames on vertical jets of the universal hypersurface

Joel Merker

math.CV2013

Equivalences of 5-dimensional CR manifolds (II): General classes I, II, III-1, III-2, IV-1, IV-2

Joel Merker, Samuel Pocchiola, Masoud Sabzevari

math.CV2010

Nonrigid spherical real analytic hypersurfaces in C^2

Joel Merker

math.AG2014

Extrinsic projective curves X^1 in P^2(C): harmony with intrinsic cohomology

Joel Merker

math.AG2010

Applications of computational invariant theory to Kobayashi hyperbolicity and to Green-Griffiths algebraic degeneracy

Joel Merker

math.CV2008

Note on constancy of some formal meromorphic maps

Joel Merker

math.CV2004

On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle

Joel Merker

math.CV2013

On transfer of biholomorphisms across nonminimal loci

Joel Merker

math.CV2017

Parametric CR-umbilical Locus of Ellipsoids in $\mathbb{C}^2$

Wei-Guo Foo, Joel Merker, The-Anh Ta

math.DG2014

Cartan equivalences for Levi-nondegenerate hypersurfaces M^3 in C^2 belonging to General Class I

Masoud Sabzevari, Joel Merker

math.CV2004

On the Hartogs-Bochner phenomenon for CR functions in P_2(C)

Roman Dwilewicz, Joel Merker

math.AC2011

A Groebner-bases algorithm for the computation of the cohomology of Lie (super) algebras

Benyamin M. -Alizadeh, Joel Merker, Masoud Sabzevari

math.DG2011

Effective Cartan-Tanaka connections on C6-smooth strongly pseudoconvex hypersurfaces M3 of C2

Mansour Aghasi, Joel Merker, Masoud Sabzevari

math.CV2000

Reflection principle and envelopes of holomorphy

Joel Merker

math.AG2014

Rationality in Differential Algebraic Geometry

Joel Merker

math.CV2005

Explicit differential characterization of PDE systems pointwise equivalent to Y_{X^{j_1}X^{j_2}}=0, 1\leq j_1,j_2\leq n\geq 2

Joel Merker

math.RA2012

Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms

Masoud Sabzevari, Amir Hashemi, Benyamin M. -Alizadeh +1