Anthony C. Rizzie

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All published works

Action	Title	Year	Authors
+ PDF Chat	Multi-degree Bounds on the Betti Numbers of Real Varieties and Semi-algebraic Sets and Applications	2017	Saugata Basu Anthony C. Rizzie
+	Multi-degree bounds on the Betti numbers of real varieties and semi-algebraic sets and applications	2015	Saugata Basu Anthony C. Rizzie
+	Refined Estimates on the Betti Numbers of Real Algebraic Varieties and Semi-Algebraic Sets	2015	Anthony C. Rizzie
+	Multi-degree bounds on the Betti numbers of real varieties and semi-algebraic sets and applications	2015	Saugata Basu Anthony C. Rizzie

Common Coauthors

Coauthor	Papers Together
Saugata Basu	3

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions	2015	Saugata Basu Martı́n Sombra	2
+	Deciding positivity of multisymmetric polynomials	2015	Paul Görlach Cordian Riener Tillmann Weißer	2
+ PDF Chat	Singularities and Topology of Hypersurfaces	1992	Alexandru Dimca	2
+	Hodge theory and complex algebraic geometry	2007	C. Voisin Leila Schneps	2
+	On the Betti numbers of sign conditions	2004	Saugata Basu Richard Pollack Marie-Françoise Roy	2
+ PDF Chat	Refined Bounds on the Number of Connected Components of Sign Conditions on a Variety	2011	Sal Barone Saugata Basu	2
+	Topology of quadratic maps and hessians of smooth maps	1990	Andrei Agrachev	2
+ PDF Chat	On the geometry of polar varieties	2010	Bernd Bank M Giusti Joos Heintz Mohab Safey El Din Éric Schost	2
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	2
+ PDF Chat	Complexity of intersections of real quadrics and topology of symmetric determinantal varieties	2016	Antonio Lerario	2
+	3264 and All That	2016	David Eisenbud Joseph D. Harris	2
+	Sur L'Homologie des Varietes Algebriques Réelles	1965	René Thom	2
+ PDF Chat	The total Betti number of the intersection of three real quadrics	2014	Antonio Lerario	2
+	Introduction to Compact Transformation Groups	1972	Glen E. Bredon	2
+ PDF Chat	Bounding the Betti numbers and computing the Euler–Poincaré characteristic of semi-algebraic sets deﬁned by partly quadratic systems of polynomials	2010	Saugata Basu Dmitrii V. Ṗasechnik Marie-Françoise Roy	2
+ PDF Chat	Asymptotic Estimates for the Number of Contingency Tables, Integer Flows, and Volumes of Transportation Polytopes	2008	Alexander Barvinok	2
+	On a real analog of Bezout inequality and the number of connected components of sign conditions	2016	Sal Barone Saugata Basu	2
+	An improved bound on the number of point-surface incidences in three dimensions	2013	Joshua Zahl	2
+ PDF Chat	Systems of quadratic inequalities	2012	Andrei Agrachev Antonio Lerario	2
+ PDF Chat	The Szemerédi-Trotter theorem in the complex plane	2015	Csaba D. Tóth	2
+ PDF Chat	Approximation of definable sets by compact families, and upper bounds on homotopy and homology	2009	Andrei Gabrielov Nicolai Vorobjov	2
+	On the degree of the $L$-function associated with an exponential sum	1988	Alan Adolphson Steven Sperber	2
+	Sums of Betti Numbers in Arbitrary Characteristic	2001	Nicholas M. Katz	2
+ PDF Chat	On the Betti numbers of real varieties	1964	John Milnor	2
+ PDF Chat	On Bounding the Betti Numbers and Computing the Euler Characteristic of Semi-Algebraic Sets	1999	Saugata Basu	2
+ PDF Chat	A Sharper Estimate on the Betti Numbers of Sets Defined by Quadratic Inequalities	2007	Saugata Basu Michael Kettner	2
+	On the homology groups of Stein spaces	1967	Raghavan Narasimhan	2
+ PDF Chat	Unit Distances in Three Dimensions	2012	Haim Kaplan Jiřı́ Matoušek Zuzana Safernová Micha Sharir	2
+ PDF Chat	Bounding the number of connected components of a real algebraic set	1991	Riccardo Benedetti François Loeser Jean Jacques Risler	2
+	Bounding the Number of Geometric Permutations Induced byk-Transversals	1996	Jacob E. Goodman Richard Pollack Rephael Wenger	2
+	Newton polyhedra and the genus of complete intersections	1978	Askold Khovanskiĭ	2
+ PDF Chat	On Range Searching with Semialgebraic Sets. II	2013	Pankaj K. Agarwal Jiřı́ Matoušek Micha Sharir	2
+ PDF Chat	On the Erdős distinct distances problem in the plane	2014	Larry Guth Nets Hawk Katz	2
+ PDF Chat	Improved Bounds for Incidences Between Points and Circles	2014	Micha Sharir Adam Sheffer Joshua Zahl	2
+ PDF Chat	An Incidence Theorem in Higher Dimensions	2012	József Solymosi Terence Tao	2
+ PDF Chat	BETTI NUMBERS OF SEMIALGEBRAIC AND SUB-PFAFFIAN SETS	2004	Andrei Gabrielov Nicolai Vorobjov Thierry Zell	2
+ PDF Chat	Betti Numbers of Semialgebraic Sets Defined by Quantifier-Free Formulae	2004	Andrei Gabrielov Nicolai Vorobjov	2
+	Generalized “sandwich” theorems	1942	A. H. Stone John W. Tukey	1
+ PDF Chat	On Topological Lower Bounds for Algebraic Computation Trees	2015	Andrei Gabrielov Nicolai Vorobjov	1
+ PDF Chat	Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory	2014	Terence Tao	1
+	Lower bounds for arithmetic networks	1993	Jos� L. Monta�a Luis Miguel Pardo	1
+ PDF Chat	Upper bounds for configurations and polytopes inR d	1986	Jacob E. Goodman Richard Pollack	1
+	Stratified Morse Theory	1988	Mark Goresky Robert MacPherson	1
+	3264 and All That	2016	David Eisenbud Joe Harris	1
+ PDF Chat	Polynomial partitioning for a set of varieties	2015	Larry Guth	1
+	Estimates on Green's Functions, Localization and the Quantum Kicked Rotor Model	2002	Jean Bourgain	1
+ PDF Chat	Anderson localization for Schrödinger operators on Z2 with quasi-periodic potential	2002	Jean Bourgain Michael Goldstein Wilhelm Schlag	1
+ PDF Chat	There are asymptotically far fewer polytopes than we thought	1986	Jacob E. Goodman Richard Pollack	1
+ PDF Chat	On the connected components of the space of line transversals to a family of convex sets	1995	Jacob E. Goodman Richard Pollack Rephael Wenger	1
+ PDF Chat	Simple Proofs of Classical Theorems in Discrete Geometry via the Guth–Katz Polynomial Partitioning Technique	2012	Haim Kaplan Jiřı́ Matoušek Micha Sharir	1