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William Simmons

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All published works
Action Title Year Authors
+ PDF Chat Explicit polynomial bounds on prime ideals in polynomial rings over fields 2020 William Simmons
Henry Towsner
+ PDF Chat Proof mining and effective bounds in differential polynomial rings 2018 William Simmons
Henry Towsner
+ PDF Chat New examples (and counterexamples) of complete finite-rank differential varieties 2016 William Simmons
+ Proof mining and effective bounds in differential polynomial rings 2016 William Simmons
Henry Towsner
+ PDF Chat On Linear Dependence Over Complete Differential Algebraic Varieties 2015 James Freitag
Omar Le贸n S谩nchez
William Simmons
+ New examples (and counterexamples) of complete finite-rank differential varieties 2015 William Simmons
+ On completeness and linear dependence for differential algebraic varieties 2014 James Freitag
Omar Le贸n S谩nchez
William Simmons
+ On linear dependence over complete differential algebraic varieties 2014 James Freitag
Omar Le贸n S谩nchez
William Simmons
Common Coauthors
Coauthor Papers Together
James Freitag 3
Omar Le贸n S谩nchez 3
Henry Towsner 3
Commonly Cited References
Action Title Year Authors # of times referenced
+ Rational approximations to algebraic numbers 1955 K. F. Roth
 3
+ A note on wronskians and linear dependence of entire functions in 1994 Carlos A. Berenstein
Der鈥怌hen Chang
Bao Qin Li
 3
+ Differential Algebra and Algebraic Groups 2012 E. R. Kolchin
 3
+ Completeness in partial differential algebraic geometry 2014 James Freitag
 3
+ Linear dependence of quotients of analytic functions of several variables with the least subcollection of generalized Wronskians 2005 Ronald A. Walker
 3
+ Complete Sets in Differentially Closed Fields 2000 Wai Yan Pong
 3
+ PDF Chat Complete models of differential fields 1969 Peter Blum
 3
+ Bounds in the theory of polynomial rings over fields. A nonstandard approach 1984 Lou van den Dries
Kai鈥怳we Schmidt
 2
+ Extensions of Differential Places 1978 Sally Morrison
 2
+ PDF Chat Ideal membership in polynomial rings over the integers 2004 Matthias Aschenbrenner
 2
+ Differential Specializations in Integral and Algebraic Extensions 1979 Sally Morrison
 2
+ Positive elimination in valued fields 2007 Alexander Prestel
 2
+ Applied Proof Theory: Proof Interpretations and Their Use in Mathematics 2008 Ulrich Kohlenbach
 2
+ Chains of Differential Subvarieties in an Algebraic Variety 2002 Wai Yan Pong
 2
+ PDF Chat Constructions in algebra 1974 A. Seidenberg
 2
+ PDF Chat Generalized Hasse-Schmidt varieties and their jet spaces 2011 Rahim Moosa
Thomas Scanlon
 2
+ Remarks on algebraic D-varieties and the model theory of differential fields 2017 Anand Pillay
 2
+ Differential Equations in a Projective Space and Linear Dependence over a Projective Variety 1974 E. R. Kolchin
 2
+ Nonstandard methods for bounds in differential polynomial rings 2012 Matthew Harrison鈥怲rainor
Jack Klys
Rahim Moosa
 2
+ PDF Chat Extending differential specializations 1970 Peter Blum
 2
+ Some applications of a model theoretic fact to (semi-) algebraic geometry 1982 Lou van den Dries
 2
+ Die Frage der endlich vielen Schritte in der Theorie der Polynomideale 1926 Grete Hermann
 2
+ PDF Chat Ackermannian and Primitive-Recursive Bounds with Dickson's Lemma 2011 Diego Figueira
Santiago Figueira
Sylvain Schmitz
Philippe Schnoebelen
 2
+ PDF Chat Specializations in differential algebra 1959 Azriel Rosenfeld
 2
+ Model theory of fields 1996 David Marker
Margit Messmer
Anand Pillay
 2
+ A condition equivalent to linear dependence for functions with vanishing Wronskian 1989 Kenneth Wolsson
 2
+ On bounds for the effective differential Nullstellensatz 2015 Omar Le贸n S谩nchez
Alexey Ovchinnikov
 2
+ PDF Chat What do ultraproducts remember about the original structures? 2023 Henry Towsner
 2
+ Introduction To Commutative Algebra 2018 Michael Atiyah
 2
+ The Structure of Polynomial Ideals and Gr枚bner Bases 1990 Thomas W. Dub茅
 1
+ PDF Chat Abstract differential algebra and the analytic case 1958 A. Seidenberg
 1
+ Strong minimality and the j-function 2014 James Freitag
Thomas Scanlon
 1
+ PDF Chat Differential Algebraic Groups of Finite Dimension 1992 Alexandru Buium
 1
+ PDF Chat Double-exponential lower bound for the degree of any system of generators of a polynomial prime ideal 2009 A. L. Chistov
 1
+ Nonstandardness and the bounded functional interpretation 2015 Fernando Ferreira
Jaime Gaspar
 1
+ Effective bounds for the number of transcendental points on subvarieties of semi-abelian varieties 2000 Ehud Hrushovski
Anand Pillay
 1
+ An introduction to differential algebra 1957 Irving Kaplansky
 1
+ PDF Chat 脺BER EINE BISHER NOCH NICHT BEN脺TZTE ERWEITERUNG DES FINITEN STANDPUNKTES 1958 Von Kurt G枚del
 1
+ Differential algebraic groups 1986 E. R. Kolchin
 1
+ PDF Chat Ordinal numbers and the Hilbert basis theorem 1988 Stephen G. Simpson
 1
+ PDF Chat Well-ordering of certain numerical polynomials 1975 William Y. Sit
 1
+ Direct methods for primary decomposition 1992 David Eisenbud
Craig Huneke
Wolmer V. Vasconcelos
 1
+ PDF Chat Sharp effective Nullstellensatz 1988 Jan贸s Koll谩r
 1
+ PDF Chat An approximate logic for measures 2013 Isaac Goldbring
Henry Towsner
 1
+ The question of finitely many steps in polynomial ideal theory 1998 Grete Hermann
 1
+ Differential Algebraic Groups 1972 P. J. Cassidy
 1
+ Polynomial bounds in polynomial rings over fields 1989 Karsten Schmidt-G枚ttsch
 1
+ PDF Chat Metastability in the Furstenberg鈥揨immer tower 2010 Jeremy Avigad
Henry Towsner
 1
+ The syntax of nonstandard analysis 1988 Edward Nelson
 1
+ PDF Chat Understanding and Using Spector鈥檚 Bar Recursive Interpretation of Classical Analysis 2006 Paulo Oliva
 1