Publications (83)
The rational-transcendental dichotomy of Mahler functions
Jason P. Bell, Michael Coons, Eric Rowland
The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension
Jason P. Bell, Wing Hong Leung
The prime spectrum of algebras of quadratic growth
Jason P. Bell, Agata Smoktunowicz
A transcendental dynamical degree
Jason P. Bell, Jeffrey Diller, Mattias Jonsson
Transcendence Degree of Division Algebras
Jason P. Bell
A Tits alternative for rational functions
Jason P. Bell, Keping Huang, Wayne Peng +1
A general criterion for the Pólya-Carlson dichotomy and application
Jason P. Bell, Keira Gunn, Khoa D. Nguyen +1
Lie complexity of words
Jason P. Bell, Jeffrey Shallit
A Skolem-Mahler-Lech theorem for iterated automorphisms of $K$-algebras
Jason P. Bell, Jeffrey C. Lagarias
Counting Rooted Trees: The Universal Law t(n) ~ C Ï^{-n} n^{-3/2}
Jason P. Bell, Stanley N. Burris, Karen A. Yeats
A refinement of Christol's theorem for algebraic power series
Seda Albayrak, Jason P. Bell
Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer
Jason P. Bell, Maryam Hamidizadeh, Hongdi Huang +1
Preperiodic points, finiteness, and structures of semigroups of algebraic morphisms
Jason P. Bell, Thomas J. Tucker
On vanishing coefficients of algebraic power series over fields of positive characteristic
Boris Adamczewski, Jason P. Bell
On a dynamical version of a theorem of Rosenlicht
Jason P. Bell, Dragos Ghioca, Zinovy Reichstein
Height Gap Conjectures, $D$-Finiteness, and Weak Dynamical Mordell-Lang
Jason P. Bell, Fei Hu, Matthew Satriano
Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations
Jason P. Bell, Dragos Ghioca
Division algebras of Gelfand-Kirillov dimension two
Jason P. Bell
Free subalgebras of division algebras over uncountable fields
Jason P. Bell, D. Rogalski
The Dynamical Mordell-Lang problem
Jason P. Bell, Dragos Ghioca, Thomas J. Tucker
There are no good infinite families of toric codes
Jason P. Bell, Sean Monahan, Matthew Satriano +2
Centralizers in Domains of Finite Gelfand-Kirillov Dimension
Jason P. Bell
Quantum Grassmannians and their Associated Quantum Schubert Varieties at roots of unity
Jason P. Bell, Stéphane Launois, Alexandra Rogers
Congruences modulo cyclotomic polynomials and algebraic independence for $q$-series
Boris Adamczewski, Jason P. Bell, Ãric Delaygue +1
An analogue of Ruzsa's conjecture for polynomials over finite fields
Jason P. Bell, Khoa D. Nguyen
D-finiteness, rationality, and height II: lower bounds over a set of positive density
Jason P. Bell, Khoa D. Nguyen, Umberto Zannier
Dynamical sequences: closure properties and automatic identity proving
Jason P. Bell, Yuxuan Sun
On noncommutative bounded factorization domains and prime rings
Jason P. Bell, Ken Brown, Zahra Nazemian +1
Rational dynamical systems, $S$-units, and $D$-finite power series
Jason P. Bell, Shaoshi Chen, Ehsaan Hossain
Bounding periods of subvarieties of (P^1)^n
Jason P. Bell, Dragos Ghioca, Thomas J. Tucker
Diagonalization and Rationalization of algebraic Laurent series
Boris Adamczewski, Jason P. Bell
Simple algebras of Gelfand-Kirillov dimension two
Jason P. Bell
Noetherian algebras over algebraically closed fields
Jason P. Bell
Primitivity of finitely presented monomial algebras
Jason P. Bell, Pinar Pekcagliyan
A generalised Skolem-Mahler-Lech theorem for affine varieties
Jason P. Bell
The minimal growth of a $k$-regular sequence
Jason P. Bell, Michael Coons, Kevin G. Hare
Transcendence tests for Mahler functions
Jason P. Bell, Michael Coons
$3x+1$ inverse orbit generating functions almost always have natural boundaries
Jason P. Bell, Jeffrey C. Lagarias
Counterexamples to a Conjecture of Dombi in Additive Number Theory
Jason P. Bell, Jeffrey Shallit
Shirshov's theorem and division rings that are left algebraic over a subfield
Jason P. Bell, Vesselin Drensky, Yaghoub Sharifi
Rings of differential operators on curves
Jason P. Bell, Agata Smoktunowicz
Free Subalgebras of Graded Algebras
Jason P. Bell, Be'eri Greenfeld
Integral Cayley graphs and groups
Azhvan Ahmady, Jason P. Bell, Bojan Mohar
Computing the linear hull: Deciding Deterministic? and Unambiguous? for weighted automata over fields
Jason P. Bell, Daniel Smertnig
Algebraic independence of $G$-functions and congruences "Ã la Lucas"
B Adamczewski, Jason P. Bell, E Delaygue
On the set of zero coefficients of a function satisfying a linear differential equation
Jason P. Bell, Stanley N. Burris, Karen Yeats
Differential polynomial rings over rings satisfying a polynomial identity
Jason P. Bell, Blake W. Madill, Forte Shinko
Power Series with Coefficients from a Finite Set
Jason P. Bell, Shaoshi Chen
Primitivity of prime countable-dimensional regular algebras
Pere Ara, Jason P. Bell
The upper density of an automatic set is rational
Jason P. Bell
Embeddings of quotient division algebras of rings of differential operators
Jason P. Bell, Colin Ingalls, Ritvik Ramkumar
Pointed Hopf algebras, the Dixmier-Moeglin Equivalence and Noetherian group algebras
Jason P. Bell, Ken A. Brown, J. Toby Stafford
D-finiteness, rationality, and height III: multivariate Pólya-Carlson dichotomy
Jason P. Bell, Shaoshi Chen, Khoa D. Nguyen +1
On the importance of being primitive
Jason P. Bell
Free algebras and free groups in Ore extensions and free group algebras in division rings
Jason P. Bell, Jairo Z. Goncalves
Transcendence of generating functions whose coefficients are multiplicative
Jason P. Bell, Nils Bruin, Michael Coons
Iterative algebras
Jason P. Bell, Blake W. Madill
The Dixmier-Moeglin equivalence for Leavitt path algebras
Gene Abrams, Jason P. Bell, Kulumani M. Rangaswamy
Primitive algebraic algebras of polynomially bounded growth
Jason P. Bell, Lance W. Small, Agata Smoktunowicz
Extended centres of finitely generated prime algebras
Jason P. Bell, Agata Smoktunowicz
On free subgroups in division rings
Jason P. Bell, Jairo Goncalves
D-finiteness, rationality, and height
Jason P. Bell, Khoa D. Nguyen, Umberto Zannier
On the Kurosh problem for algebras over a general field
Jason P. Bell, Alexander A. Young
Amenability of monomial algebras, minimal subshifts and free subalgebras
Jason P. Bell, Be'eri Greenfeld
Some finiteness results on monogenic orders in positive characteristic
Jason P. Bell, Khoa D. Nguyen
A dichotomy result for prime algebras of Gelfand-Kirillov dimension two
Jason P. Bell
The Positivity Set of a Recurrence Sequence
Jason P. Bell, Stefan Gerhold
On the Medvedev-Scanlon Conjecture for Minimal Threefolds of Non-Negative Kodaira Dimension
Jason P. Bell, Dragos Ghioca, Zinovy Reichstein +1
$p$-Adic interpolation of orbits under rational maps
Jason P. Bell, Xiao Zhong
Free subalgebras of quotient rings of Ore extensions
Jason P. Bell, D. Rogalski
On a Dynamical Mordell-Lang Conjecture for Coherent Sheaves
Jason P. Bell, Matthew Satriano, Susan J. Sierra
Applications of p-adic analysis for bounding periods of subvarieties under etale maps
Jason P. Bell, Dragos Ghioca, Thomas J. Tucker
Non-Holonomicity of Sequences Defined via Elementary Functions
Jason P. Bell, Stefan Gerhold, Martin Klazar +1
A problem around Mahler functions
Boris Adamczewski, Jason P. Bell
Intersections of orbits of self-maps with subgroups in semiabelian varieties
Jason P. Bell, Dragos Ghioca
On Noncommutative Finite Factorization Domains
Jason P. Bell, Albert Heinle, Viktor Levandovskyy
Counting points by height in semigroup orbits
Jason P. Bell, Wade Hindes, Xiao Zhong
On Dynamical Cancellation
Jason P. Bell, Yohsuke Matsuzawa, Matthew Satriano
Transcendence of generating functions whose coefficients are multiplicative
Jason P. Bell, Michael Coons
Growth degree classification for finitely generated semigroups of integer matrices
Jason P. Bell, Michael Coons, Kevin G. Hare
Noncommutative point spaces of symbolic dynamical systems
Jason P. Bell, Be'eri Greenfeld
Ore extensions of commutative rings and the Dixmier-Moeglin equivalence
Jason P. Bell, Léon Burkhardt, Nicholas Priebe
Affine representability and decision procedures for commutativity theorems for rings and algebras
Jason P. Bell, Peter V. Danchev