Tome 62 , pp. Intersection theory of moduli space of stable n -pointed curves of genus zero , Trans. On the tautological ring of M g , Invent. Three questions in Gromov-Witten theory , Higher Ed. II Beijing, , pp. The structure of the tautological ring in genus one Preprint, arXiv The tautological ring of M 1 , n c t , Ann.

Fourier Grenoble , Tome The tautological ring of the moduli space M 2 , n r t Preprint, arXiv Informations for the authors Submit. Subscribe Subscription prices Colloquiums. Articles to appear Browse issues. Between and.

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Browse issues Volume 61 no. Tropical discriminants , with A. Dickenstein and E. Feichtner , Journal of the American Mathematical Society 20 Analysis of epistatic interactions and fitness landscapes using a new geometric approach with N. Beerenwinkel, L. Pachter, S.

Elena and R. Computing the integer programming gap with S. Hosten , Combinatorica 27 The Newton polytope of the implicit equation with J. Tevelev and J. Yu Moscow Mathematical Journal 7 Algebraic factor analysis: tetrads, pentads and beyond , with M. Drton and S. Sullivant , Probability Theory and Related Fields The mathematics of phylogenomics with L. Computing tropical varieties with T. Bogart, A. Jensen, D. Speyer and R. Thomas , Journal of Symbolic Computation 42 Monomial dynamical systems over finite fields with O. Colon-Reyes, A. Jarrah and R.

Laubenbacher , Complex Systems 16 Geometry of rank tests , with J. Wienand , 8 pp. Evolution on distributive lattices , with N. Eriksson , Journal of Theoretical Biology An algebraic geometry approach to nonlinear parametric optimization in control with I. Fotiou, P. Rostalski and M. The maximum likelihood degree , with F. Catanese, S. Hosten and A. Khetan , American Journal of Mathematics Combinatorial secant varieties with S.

Minimizing polynomials via sum of squares over the gradient ideal with J. Demmel and J. Nie , Mathematical Programming Parametric alignment of Drosophila genomes , with C. Dewey, P. Huggins, K. Woods and L. On the toric algebra of graphical models with D. Geiger and C. Meek , Annals of Statistics 34 Resultants in genetic linkage analysis with I. Hallgrimsdottir , Journal of Symbolic Computation 41 Can biology lead to new theorems?

Matroid polytopes, nested sets and Bergman fans , with E.

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Feichtner , Portugaliae Mathematica 62 What is a Grobner basis? Phylogenetic algebraic geometry , with N. Eriksson, K. Ranestad and S. Ciliberto, A. Geramita, B. Harbourne, R-M. Roig and K. Ranestad , De Gruyter, Berlin, , pp. Solving the likelihood equations , with S. Khetan , Foundations of Computational Mathematics. On the tropical rank of a matrix with F. Santos and M. Develin , in Discrete and Computational Geometry , eds. Goodman, J. Pach and E. The graph of monomial ideals with K. Altmann , Journal of Pure and Applied Algebra First steps in tropical geometry with J.

Richter-Gebert and T. Litvinov and V. Toric ideals of phylogenetic invariants , with S. Sullivant , Journal of Computational Biology 12 Algebraic geometry of Bayesian networks with L. Garcia and M. Stillman , Journal of Symbolic Computation 39 Parametric inference for biological sequence analysis with L. Pachter , Proceedings of the National Academy of Sciences Tropical geometry of statistical models with L.

Algebraic recipes for integer programming , "Trends in optimization" Phoenix, AZ, , , Proc. Math, 61 , Amer. Short rational functions for toric algebra with J. De Loera, D. Haws, R. Hemmecke, P. Huggins, and R. Yoshida , Journal of Symbolic Computation 38 The tropical Grassmannian with D. Speyer , Advances in Geometry 4 Classification of six-point metrics with J.

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## [alg-geom/] Equations Defining Toric Varieties

Multigraded Hilbert schemes with M. Haiman , Journal of Algebraic Geometry 13 Supernormal vector configurations with S. Hosten and D. Maclagan , Journal of Algebraic Combinatorics 19 Tropical Convexity with M. Develin , Documenta Mathematica 9 Algebraic unimodular counting with J. Minimizing polynomial functions with P.

Basu and L. Gonzalez-Vega , American Mathematical Society, , pp. Higher Lawrence Configurations with F. Alexander duality in subdivisions of Lawrence polytopes with F. Santos , Advances in Geometry , 3 Algorithms for the toric Hilbert scheme with M. Stillman and R. Toric hyperkahler varieties with T. Hausel , Documenta Mathematica 7 Elimination theory in codimension two with A. Dickenstein , Journal of Symbolic Computation 34 Binomial residues with E. Cattani and A. Dickenstein , Annales de l'Institute Fourier Grenoble , 52 , no. Syzygies of oriented matroids with I.

Novik and A. Postnikov , Duke Mathematical Journal Green, S. Hosten, R. Laubenbacher, V. Soc, Providence, RI, , pp. Rational hypergeometric functions with E. Dickenstein , Compositio Mathematica Syzygies of unimodular Lawrence ideals, with D. Bayer and S. Popescu , Journal fur die Reine und Angewandte Mathematik A sagbi basis for the quantum Grassmannian , with F.

Sottile , Journal for Pure and Applied Algebra Four counterexamples in combinatorial algebraic geometry, Journal of Algebra Generic and cogeneric monomial ideals with E. Miller and K. Yanagawa , Journal of Symbolic Computation 28 Monomial ideals and planar graphs with E. Fossorier, H. Imai, S. Lin and A. Poli, eds. Cutting corners with S. Onn , Advances in Applied Mathematics 23 Eisenbud] Springer Verlag, Singapore, , pp. Hypergeometric polynomials and integer programming with M.

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Takayama , Compositio Mathematica Numerical Schubert calculus with B. Huber and F. Sottile , Journal of Symbolic Computation 20 Peeva , Mathematische Zeitschrift Cellular resolution of monomial modules with D. Bayer , Journal fur die Reine und Angewandte Mathematik Grobner deformations of regular holonomic systems with M. Takayama , Proceedings of the Japan Academy, Ser. A Math. Polynomial equations and convex polytopes, American Mathematical Monthly Monomial resolutions with D. Bayer and I. Peeva , Mathematical Research Letters 5 Residues and resultants with E.

Lattice walks and primary decomposition with P. Diaconis and D. Sagan and R. Stanley, Progress in Mathematics, Vol. Algebraic algorithms for sampling from conditional distributions with P. Diaconis , Annals of Statistics 26 Generic lattice ideals with I. Peeva , Journal of the American Mathematical Society 11 Non-commutative Grobner bases for commutative algebras with D. Eisenbud and I. Peeva , Proceedings of the American Mathematical Society How to shell a monoid with I.

Peeva and V. Reiner , Mathematische Annalen Grobner bases and hypergeometric functions, with N. Takayama , in Grobner Bases and Applications Proc. Buchberger and F. Winkler eds. A toric ring with irrational Poincare-Betti series with J. Roos , Comptes Rendus Acad. Paris, Ser.

I Math. Pure Math. Introduction to resultants, in: D. Cox, B. Sturmfels eds. Variation of cost functions in integer programming, with R.

Thomas , Mathematical Programming 77 Computing Hopf bifurcations with J. Guckenheimer, M. Numerical Analysis 34 Structural Grobner basis detection with M. Bernstein's Theorem in affine space with B. Huber , Discrete and Computational Geometry 17 Intersection theory on toric varieties with W. Fulton , Topology 36 Laubenbacher , Journal of Algebra Binomial ideals with D. Eisenbud , Duke Mathematical Journal 84 Mixed monomial bases with P. Pedersen , in Algorithms in Algebraic Geometry and Applications, eds.

## Carlos Simpson

Gonzalez-Vega and T. Recio , Progress in Mathematics, Vol. Computing multidimensional residues with E. Cattani, A. Dickenstein , in Algorithms in Algebraic Geometry and Applications, eds. Primitive partition identities with P. Diaconis, R. Graham , in Combinatorics, Paul Erdos is Eighty, eds. The polytope of all triangulations of a point configuration with J.

De Loera, F. Santos, S. Hosten , Documenta Mathematica 1 Initial complexes of prime ideals with M. Kalkbrener Advances in Mathematics On vector partition functions, J. A 72 Grobner bases and triangulations of the second hypersimplex with J. De Loera, R. Thomas , Combinatorica 15 A polyhedral method for solving sparse polynomial systems with B.

Huber , Mathematics of Computation 64 Grobner bases of lattices, corner polyhedra, and integer programming with R. Weismantel, G. Ziegler , Beitrage zur Algebra und Geometrie 36 , Balas and J. Clausen, eds. Bounds for degrees of projective schemes, with N. Trung, W. Vogel , Mathematische Annalen Introduction to Chow forms with J. White, ed. Intersection theory on spherical varieties with W.

Fulton, R. MacPherson, F. Sottile , Journal of Algebraic Geometry 4 On the number of real roots of a sparse polynomial , in Hamiltonian and Gradient Flows: Algorithms and Control, ed. Bloch , Fields Institute Communications Vol. Iterated fibre polytopes with L. Billera , Mathematika 41 Cellular strings on polytopes with L.

## Fachbereich Mathematik und Informatik

Billera, M. Kapranov , Proceedings of the Amer. A note on lattice simplices and toric varieties, with S. Onn , American Journal of Mathematics Minimal polynomials and sparse resultants, with J. Yu , in "Zero-Dimensional Schemes", eds. Orecchia and L. A quantitative Steinitz Theorem with S.

Onn , B eitrage zur Algebra und Geometrie 35 Finding sparse systems of parameters with D.