Algebraic Geometry and its Applications

I Past, Present, and Future.- Mathematics and India.- II Algebraic Curves.- 2 Square-root Parametrization of Plane Curves.- 3 A Letter as an Appendix to the Square-Root Parameterization Paper Of Abhyankar.- 4 Equisingularity Invariants of Plane Curves.- 5 Classification of Algebraic Space Curves, III.- 6 Plane Polynomial Curves.- III Algebraic Surfaces.- 7 A Sharp Castelnuovo Bound for the Normalization of Certain Projective Surfaces.- 8 Abhyankar’s Work on Desingularization.- 9 Moduli Spaces for Special Surfaces of General Type.- IV Analytic Functions.- 10 A Stationary Phase Formula for p-ADIC Integrals and its Applications.- V Groups and Coverings.- 11 The Q-admissibility of 2A6 and 2A7.- 12 Groups Which Cannot be Realized as Fundamental Groups of the Complements to Hypersurfaces in CN.- 13 Unramified Coverings of the Affine Line in Positive Characteristic.- VI Young Tableaux.- 14 Abhyankar’s Work on Young Tableaux and Some Recent Developments.- Abhyankar’s Recursive Formula Regarding Standard Bi-Tableau.- 16 Correspondences Between Tableaux and Monomials.- VII Commutative Algebra.- 17 Report on the Torsion of the Differential Module of an Algebraic Curve.- 18 A Quick Proof of the Hartshorne—Lichtenbaum Vanishing Theorem.- 19 Projective Lines Over One-Dimensional Semilocal Domains and Spectra of Birational Extensions.- 20 Some Questions on Z[?14].- 21 Function Fields of Conies, a Theorem of Amitsur—MacRae, and a Problem of Zariski.- 22 Gradings of Polynomial Rings.- 23 Rigid Hilbert Polynomials for ra-Primary Ideals.- 24 One-Dimensional Local Rings with Finite Cohen—Macaulay Type.- VIII Computational Algebraic Geometry.- 25 Some Applications of Constructive Real Algebraic Geometry.- 26 An Improved Sign Determination Algorithm.- 27 DecompositionAlgorithms in Geometry.- 28 Single Exponential Path Finding in Semi-algebraic Sets, Part II: The General Case.- 29 An Improved Projection for Cylindrical Algebraic Decomposition.- 30 Degree Bounds of Gröbner Bases.- 31 Elastica and Computer Vision.- 32 Isolator Polynomials.- 33 A Bound on the Implicit Degree of Polygonal Bézier Surfaces.- IX Publications of Shreeram.