Hal Schenck
#71,267
Most Influential Person Now
American mathematician, known for work in algebraic geometry and commutative algebra
Hal Schenck's AcademicInfluence.com Rankings
Hal Schenckmathematics Degrees
Mathematics
#4444
World Rank
#6310
Historical Rank
Algebraic Geometry
#149
World Rank
#156
Historical Rank
Algebra
#362
World Rank
#499
Historical Rank
Measure Theory
#4132
World Rank
#4870
Historical Rank

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Mathematics
Hal Schenck's Degrees
- Bachelors Mathematics Princeton University
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Why Is Hal Schenck Influential?
(Suggest an Edit or Addition)According to Wikipedia, Henry Koewing "Hal" Schenck is an American mathematician, known for his work in algebraic geometry and commutative algebra. He holds the Rosemary Kopel Brown Eminent Scholars Chair in mathematics at Auburn University.
Hal Schenck'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
- Computational Algebraic Geometry (2003) (102)
- CAYLEY-BACHARACH AND EVALUATION CODES ON COMPLETE INTERSECTIONS (2003) (67)
- Toric Surface Codes and Minkowski Sums (2005) (59)
- LOWER CENTRAL SERIES AND FREE RESOLUTIONS OF HYPERPLANE ARRANGEMENTS (2001) (59)
- The topology of toric varieties (2011) (56)
- The module of logarithmic p-forms of a locally free arrangement (2000) (56)
- Elementary modifications and line configurations in ℙ2 (2003) (55)
- Stratifying Multiparameter Persistent Homology (2017) (54)
- Fat Points, Inverse Systems, and Piecewise Polynomial Functions (1998) (51)
- Syzygies, multigraded regularity and toric varieties (2005) (50)
- Freeness of conic-line arrangements in P2 (2009) (42)
- A Spectral Sequence for Splines (1997) (40)
- Inverse systems, Gelfand–Tsetlin patterns and the weak Lefschetz property (2010) (40)
- A Family of Ideals of Minimal Regularity and the Hilbert Series ofC r (Δ) (1997) (39)
- Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence (2005) (36)
- Toric Geometry (2020) (36)
- Local cohomology of bivariate splines (1997) (35)
- The Orlik-Terao algebra and 2-formality (2009) (32)
- Recent developments and open problems in linear series (2011) (29)
- A Rank Two Vector Bundle Associated to a Three Arrangement, and its Chern Polynomial (2000) (27)
- Lattice polygons and Green’s theorem (2004) (25)
- Affine toric varieties (2011) (24)
- Resonance varieties via blowups of P^2 and scrolls (2010) (24)
- Cohomology vanishing¶and a problem in approximation theory (2002) (22)
- Equivariant Chow cohomology of nonsimplicial toric varieties (2011) (21)
- The Weak Lefschetz Property and powers of linear forms in K[x,y,z] (2009) (21)
- LOCAL COMPLETE INTERSECTIONS IN P 2 AND KOSZUL SYZYGIES (2001) (19)
- Hyperplane Arrangements: Computations and Conjectures (2011) (18)
- Piecewise polynomials on polyhedral complexes (2008) (16)
- BETTI NUMBERS AND DEGREE BOUNDS FOR SOME LINKED ZERO-SCHEMES (2005) (16)
- A Case Study in Bigraded Commutative Algebra (2004) (15)
- Splines on the Alfeld split of a simplex and type A root systems (2014) (14)
- The method of shifted partial derivatives cannot separate the permanent from the determinant (2016) (14)
- Finitely many smooth d-polytopes with n lattice points (2010) (14)
- Local cohomology of logarithmic forms (2011) (13)
- Linear systems on a special rational surface (2003) (12)
- Derivation modules of orthogonal duals of hyperplane arrangements (2006) (12)
- Complex Arrangements: Algebra, Geometry, Topology (2006) (12)
- CHEN RANKS AND RESONANCE (2013) (11)
- Holonomy Lie Algebras and the LCS Formula for Subarrangements of An (2009) (11)
- Logarithmic vector fields for curve configurations in P 2 with quasihomogeneous singularities (2019) (11)
- Algebraic methods in approximation theory (2016) (9)
- Commutative Algebra of Subspace and Hyperplane Arrangements (2013) (9)
- Quadratic Gorenstein rings and the Koszul property I (2019) (9)
- On a conjecture of Rose (2001) (8)
- Subdivision and Spline Spaces (2016) (8)
- Syzygies and singularities of tensor product surfaces of bidegree (2, 1) (2012) (7)
- Tensor product surfaces and linear syzygies (2014) (7)
- Polynomial Interpolation in Higher Dimension: From Simplicial Complexes to GC Sets (2016) (6)
- Elementary modiflcations and line conflgurations in P 2 (2003) (6)
- FEW SMOOTH d-POLYTOPES WITH N LATTICE POINTS (2011) (6)
- Codes from surfaces with small Picard number (2018) (6)
- The weak Lefschetz property for quotients by quadratic monomials (2017) (6)
- High rank linear syzygies on low rank quadrics (2010) (6)
- Freeness of Conic-Line Arrangements in $\mathbb P^2$ (2007) (5)
- On minimal free resolutions and the method of shifted partial derivatives in complexity theory (2015) (5)
- Quadratic Gorenstein Rings and the Koszul Property II (2021) (5)
- On minimal free resolutions of sub-permanents and other ideals arising in complexity theory (2015) (5)
- Review: D.J. Bates, J.D. Hauenstein, A.J. Sommese, and C.W. Wampler's Numerically solving polynomial systems with Bertini (2015) (4)
- Subalgebras of the Stanley—Reisner Ring (1999) (4)
- Syzygies of projective toric varieties (2003) (4)
- The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in Pn (2021) (3)
- Schemes Supported on the Singular Locus of a Hyperplane Arrangement in $\mathbb P^n$ (2019) (3)
- Logarithmic vector fields for curve configurations in $\mathbb{P}^2$ with quasihomogeneous singularities (2018) (3)
- FORTY QUESTIONS ON SINGULARITIES OF ALGEBRAIC VARIETIES (2014) (3)
- GEOMETRY OF WACHSPRESS SURFACES (2013) (3)
- A new bound for smooth spline spaces (2019) (3)
- SCHEMES SUPPORTED ON THE SINGULAR LOCUS OF A HYPERPLANE ARRANGEMENT IN P n (2019) (2)
- The Cayley-Bacharach theorem and coding theory (2003) (2)
- Quaternary quartic forms and Gorenstein rings (2021) (2)
- Efficient computation of resonance varieties via Grassmannians (2008) (2)
- Euler characteristic of coherent sheaves on simplicial torics via the Stanley–Reisner ring (2010) (2)
- Computational Algebraic Geometry: Preface (2003) (2)
- Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four (2022) (2)
- Normal toric varieties (2011) (1)
- Algebraic properties of Hermitian sums of squares, II (2021) (1)
- Computational Algebraic Geometry: Complex Analysis Primer (2003) (1)
- A stellar proof of Hirzebruch-Riemann-Roch for toric varieties (2011) (1)
- Calabi–Yau threefolds in $\mathbb{P}^n$ and Gorenstein rings (2020) (1)
- Multivariate Splines and Algebraic Geometry (2015) (1)
- Toric resolutions and toric singularities (2011) (1)
- Toric Surfaces (2011) (0)
- Computational Algebraic Geometry: Abstract Algebra Primer (2003) (0)
- Toric Hirzebruch-Riemann-Roch (2011) (0)
- Projective toric morphisms (2011) (0)
- Computational Algebraic Geometry: Gröbner Bases and the Buchberger Algorithm (2003) (0)
- Forty Questions on Singularities (2015) (0)
- Homogeneous coordinates on toric varieties (2011) (0)
- BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (2001) (0)
- Geometry of the secondary fan (2011) (0)
- Projective toric varieties (2011) (0)
- Computational Algebraic Geometry: Bibliography (2003) (0)
- Computational Algebraic Geometry: Snake Lemma, Derived Functors, Tor and Ext (2003) (0)
- Stratifying Multiparameter persistent homology (joint work with H. Harrington, N. Otter, U.Tillmann). (2018) (0)
- Divisors on toric varieties (2011) (0)
- Toric Geometry 1233 Workshop : Toric Geometry Table of (2013) (0)
- Toric Hirzebruch-Riemann-Roch via Ishida’s theorem on the Todd genus (2011) (0)
- The Simplest Minimal Free Resolutions in $${\mathbb {P}^1 \times \mathbb {P}^1}$$ (2020) (0)
- Computational Algebraic Geometry: Projective Space and Graded Objects (2003) (0)
- Computational Algebraic Geometry: Projective Dimension, Cohen–Macaulay Modules, Upper Bound Theorem (2003) (0)
- Logarithmic vector fields for quasihomogeneous curve configurations in P^2 (2014) (0)
- Computational Algebraic Geometry: Curves, Sheaves, and Cohomology (2003) (0)
- The history of toric varieties (2011) (0)
- Algebraic Foundations for Applied Topology and Data Analysis (2022) (0)
- Introduction to the Special Issue dedicated to Joseph Kung (2021) (0)
- Line bundles on toric varieties (2011) (0)
- BOUNDS ON CODES FROM SMOOTH TORIC THREEFOLDS iii ABSTRACT Bounds on Codes from Smooth Toric Threefolds with Rank(Pic(X)) = 2. (August 2008) (2008) (0)
- Computational Algebraic Geometry: Basics of Commutative Algebra (2003) (0)
- Sheaf cohomology of toric varieties (2011) (0)
- Subdivision and Spline Spaces (2017) (0)
- Computational Algebraic Geometry: Functors: Localization, Hom, and Tensor (2003) (0)
- Mini-Workshop: Interpolation, Approximation, and Algebra (2023) (0)
- Toric GIT and the secondary fan (2011) (0)
- Trading networks and Hodge theory (2020) (0)
- Finitely many smooth d-polytopes with n lattice points (2015) (0)
- THE WEAK LEFSCHETZ PROPERTY , INVERSE SYSTEMS AND FAT POINTS (2010) (0)
- Nets in $$\mathbb {P}^2$$ and Alexander Duality (2022) (0)
- Mini-Workshop: Surface Modeling and Syzygies (2007) (0)
- Combinatorics, Topology and the Stanley–Reisner Ring (2003) (0)
- The canonical divisor of a toric variety (2011) (0)
- A G ] 1 0 A ug 2 02 1 THE HESSIAN POLYNOMIAL AND THE JACOBIAN IDEAL OF A REDUCED HYPERSURFACE IN P (2021) (0)
- Linear Series on a Special Rational Surface (2008) (0)
- Free Resolutions and Regular Sequences (2003) (0)
- LEFSCHETZ PROPERTIES FOR HIGHER ORDER NAGATA IDEALIZATIONS (2019) (0)
- Computational Algebraic Geometry: Geometry of Points and the Hilbert Function (2003) (0)
- The Hessian polynomial and the Jacobian ideal of a reduced surface in$\mathbb{P}^3$ (2020) (0)
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Hal Schenck is affiliated with the following schools: