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Moduli space
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71	A PROOF OF THE RIEMANN HYPOTHESIS I Louis de Branges* Abstract. A proof of the Riemann hypothesis is obtained for zeta functions generated in Fourier analysis on fields and skew–fields. The fields are the complex plan Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2014-12-17 09:44:58 Analytic number theory Quantum mechanics Moduli theory Hardy space Hilbert space Modular form Complex number Gamma function Riemann hypothesis Mathematical analysis Complex analysis Operator theory
72	Topological Matrix Models Sunil Mukhi Tata Institute of Fundamental Research, Mumbai, India June, Les Houches School on Random Matrices Add to Reading List Source URL: theory.tifr.res.in Language: English - Date: 2011-06-02 01:39:36 Geometric topology Moduli theory Riemann surfaces Differential topology Teichmüller space Orbifold Manifold Surface Triangulation Topology Geometry Algebraic geometry
73	CURRICULUM VITAE Søren Galatius Department of Mathematics Stanford University, Bldg. 380 Stanford, CA 94305, USA Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-08-11 22:53:42 Algebraic topology Geometric topology Moduli theory Differential topology Symplectic topology Mapping class group Stable map Cobordism Moduli space Topology Abstract algebra Mathematics
74	Satake compactications, Lattices and Schottky problem Giulio Codogni University of Cambridge Selwyn College Add to Reading List Source URL: ricerca.mat.uniroma3.it Language: English - Date: 2014-06-09 03:35:57 Algebraic curves Moduli theory Abelian varieties Riemann surfaces Schottky problem Modular form Hyperelliptic curve Moduli space Jacobian variety Algebraic geometry Abstract algebra Geometry
75	A natural smooth compactification of the space of elliptic curves in projective space via blowing up the space of stable maps Ravi Vakil and Aleksey Zinger The moduli space of stable maps Mg,k (X, β) to a complex projec Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-07-13 09:52:48 Symplectic topology String theory Moduli theory Complex manifolds Gromov–Witten invariant Stable map Moduli space Resolution of singularities Projective space Geometry Abstract algebra Algebraic geometry
76	THE MODULI SPACE OF CURVES, DOUBLE HURWITZ NUMBERS, AND FABER’S INTERSECTION NUMBER CONJECTURE I. P. GOULDEN, D. M. JACKSON AND R. VAKIL Abstract. We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2009-04-10 18:17:48 Abstract algebra Algebraic curves Riemann surfaces ELSV formula Permutations String theory Moduli space Moduli of algebraic curves Riemann–Hurwitz formula Algebraic geometry Moduli theory Geometry
77	THE MODULI SPACE OF CURVES AND GROMOV-WITTEN THEORY RAVI VAKIL A BSTRACT. The goal of this article is to motivate and describe how Gromov-Witten theory can and has provided tools to understand the moduli space of curves. Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-05-26 15:48:29 Moduli theory Algebraic curves Invariant theory Complex manifolds Moduli space Moduli of algebraic curves Riemann–Roch theorem Ample line bundle Divisor Algebraic geometry Abstract algebra Geometry
78	CURRICULUM VITAE TYLER J. JARVIS Education. Ph.D: M.A: Add to Reading List Source URL: math.byu.edu Language: English - Date: 2013-10-24 10:54:25 String theory Symplectic topology Symmetry Algebraic geometry Moduli theory Orbifold Quantum cohomology Moduli space Moduli Physics Abstract algebra Geometry
79	ABSOLUTE GALOIS ACTS FAITHFULLY ON THE COMPONENTS OF THE MODULI SPACE OF SURFACES: A BELYI-TYPE THEOREM IN HIGHER DIMENSION ROBERT W. EASTON AND RAVI VAKIL A BSTRACT. Given an object over Q, there is often no reason for Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2007-07-31 17:36:23 Birational geometry Moduli theory Absolute Galois group Enriques–Kodaira classification Moduli space XTR Étale cohomology Abstract algebra Algebra Galois theory
80	MURPHY’S LAW IN ALGEBRAIC GEOMETRY: BADLY-BEHAVED DEFORMATION SPACES RAVI VAKIL A BSTRACT. We consider the question: “How bad can the deformation space of an object be?” The answer seems to be: “Unless there is s Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-07-07 21:44:12 Moduli theory Scheme theory Invariant theory Algebraic surfaces Moduli space Resolution of singularities Enriques–Kodaira classification Surface of general type Moduli of algebraic curves Algebraic geometry Geometry Abstract algebra

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