Color keys:

**87**(with Stephane Launois, Omar Leon-Sanchez and Rahim Moosa) Poisson algebras via model theory and differential-algebraic geometry. To appear in Journal of the European Math. Soc.**86**(with Yann Bugeaud and Michael Coons) Diophantine approximation of Mahler numbers. To appear in Proc. London Math. Soc.**85**(with Michael Coons and Kevin Hare) Growth degree classification for finitely generated semigroups of integer matrices. To appear in Semigroup Forum.**84**(with Jeffrey Lagarias) $3x+1$ inverse orbit generating functions almost always have natural boundaries. To appear in Acta Arith.**83**(with Dragos Ghioca and Thomas J. Tucker) Applications of p-adic analysis for bounding periods of subvarieties under etale maps. To appear in Int. Math. Res. Not.**82**J. Bell, D. Rogalski, Z-graded simple rings. To appear in Trans. Amer. Math. Soc.**81**(with Pere Ara) Primitivity of prime countable-dimensional regular algebras. To appear in Proc. Amer. Math. Soc.**80**(with Jeffrey C. Lagarias) A Skolem-Mahler-Lech theorem for iterated automorphisms of K-algebras. Canad. J. Math. 67 (2015), no. 2, 286--314.**79**(with Blake Madill and Forte Shinko) Differential polynomial rings over rings satisfying a polynomial identity. J. Algebra 423 (2015), 28--36.**78**(with Jonathan Jedwab, Mahdad Khatirinejad, and Kai-Uwe Schmidt) Three-phase Barker arrays. J. Combin. Des. 23 (2015), no. 2, 45--59.**77**(with Wing Hong Leung) The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimesnion. Algebr. Represent. Theory 17 (2014), no. 6, 1843--1852.**76**(with M. Coons and K. G. Hare) The minimal growth of a k-regular sequence. Bull. Aust. Math. Soc. 90 (2014), no. 2, 195--203.**75**(with. R. Miles and T. Ward) Towards a Polya-Carlson dichotomy for algebraic dynamics. Indag. Math. (N.S.) {\bf 25} (2014), no. 4, 652--668.**74**(with D. Rogalski) Free subalgebras of division algebras over uncountable fields. Math. Z. 277 (2014), no. 1-2, 591--609.**73**(with K. Casteels and S. Launois) Primitive ideals in quantum Schubert cells: dimension of the strata. Forum Math. 26 (2014), no. 3, 703--721.**72**(with A. Ahmady and B. Mohar) Integral Cayley graphs and groups. SIAM J. Discrete Math. 28 (2014), no. 2, 685--701.**71**(with G. Abrams and K. Rangaswamy) On prime nonprimitive von Neumann regular algebras. Trans. Amer. Math. Soc. 366 (2014), no. 5, 2375--2392.**70**(with B. Adamczewski) Diagonalization and rationalization of algebraic Laurent series. Ann. Sci. Ec. Norm. Super. (4) 46 (2013), no. 6, 963--1004.**69**(with V. Drensky and Y. Sharifi) Shirshov's theorem and division rings that are left algebraic over a subfield. J. Pure Appl. Algebra 217 (2013), no. 9, 1605--1610.**68**(with M. Coons and E. Rowland) The rational-transcendental dichotomy of Mahler functions. J. Integer Seq. 16 (2013), no. 2, Article 13.2.10, 11 pp.**67**(with D. Rogalski) Free subalgebras of quotient rings of Ore extensions. Algebra Number Theory 6 (2012), no. 7, 1349--1367.**66**Transcendence degree of division algebras. Israel J. Math. 190 (2012), 195--211.**65**(with A. Smoktunowicz) Rings of differential operators on curves. Israel J. Math. 192 (2012), no. 1, 297--310.**64**(with G. Abrams, P. Colak, and K. M. Rangaswamy) Two-sided chain conditions in Leavitt path algebras over arbitrary graphs. J. Algebra Appl. 11 (2012), no. 3, 1250044, 23 pp.**63**(with L. Small and A. Smoktunowicz) Agata Primitive algebraic algebras of polynomially bounded growth. New trends in noncommutative algebra, 41--52, Contemp. Math., 562, Amer. Math. Soc., Providence, RI, 2012.**62**(with S. Launois and K. Casteels) Enumeration of torus-invariant strata with respect to dimension in the big cell of the quantum minuscule Grassmannian of type Bn. New trends in noncommutative algebra, 27--40, Contemp. Math., 562, Amer. Math. Soc., Providence, RI, 2012.**61**(with B. Adamczewski) On the set of zero coefficients of algebraic power series. Invent. Math. 187 (2012), no. 2, 343--393.**60**(with S. Launois and K. Casteels) Enumeration of $H$-strata in quantum matrices with respect to dimension. J. Combin. Theory Ser. A 119 (2012), no. 1, 83--98. pdf**58**(with G. Abrams and K. M. Rangaswamy) The Dixmier-Moeglin equivalence for Leavitt path algebras. Algebr. Represent. Theory 15 (2012), no. 3, 407--425. pdf**57**(with S. Burris and K. Yeats) Monadic Second-Order Classes of Forests with a Monadic Second-Order 0-1 Law. Discrete Math. Theor. Comput. Sci. 14 (2012), no. 1, 87--107. pdf**56**(with N. Bruin and M. Coons) Transcendence of generating functions whose coefficients are multiplicative. Trans. Amer. Math. Soc. 364 (2012), no. 2, 933--959. pdf**55**Transcendence Degree of Division algebras. Israel J. Math. 190 (2012), 195--211. pdf**54**(with B. Adamczewski) An analogue of Cobham's theorem for fractals. Trans. Amer. Math. Soc. 363 (2011), no. 8, 4421--4442.**53**(with A. Young) On the Kurosh problem for algebras of polynomial growth over a general field. J. Algebra 342 (2011), 265--281.**52**(with B. Adamczewski) Automata and number theory. Book Chapter in Handbook of Automata, Edited by J.-E. Pin.**51**(with S. Burris and K. Yeats) Characteristic Points of Recursive Systems. Electron. J. Combin. 17 (2010), no. 1, Research Paper 121, 34 pp. pdf**50**(with D. Rogalski and S. Sierra) The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. Israel J. Math. 180 (2010), 461--507. pdf**49**(with D. Ghioca and T. Tucker) The dynamical Mordell-Lang problem for etale maps. Amer. J. Math. 132 (2010), no. 6, 1655--1675.**48**A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. J. Algebra 324 (2010), no. 4, 831--840. pdf**47**(with S. Launois) On the dimension of $H$-strata in quantum algebras. Algebra Number Theory 4 (2010), no. 2, 175--200. pdf**46**(with S. Launois and J. Lutley) An automaton-theoretic approach to the representation theory of quantum algebras. Adv. Math. 223 (2010), no. 2, 476--510.**45**Centralizers in Domains of Finite Gelfand-Kirillov Dimension. Bull. London Math Soc. 41 (2009), no. 3, 559--562. pdf**44**(with P. Colak) Primitivity of finitely presented monomial algebras. J. Pure Appl. Algebra 213 (2009), no. 7, 1299--1305. pdf**43**(with Jonathan Bober) Bounded step functions and factorial ratio sequences. Int. J. Number Theory 5 (2009), no. 8, 1419--1431.**42**(with E. Charlier, A. Fraenkel, M. Rigo) A decision problem for ultimately periodic sets in nonstandard numerations systems. Internat. J. Algebra Comput. 19 (2009), no. 6, 809.**41**Simple algebras of Gelfand-Kirillov dimension two. Proc. Amer. Math. Soc. 137 (2009), no. 3, 877--883. pdf**40**Division algebras of Gelfand-Kirillov transcendence degree 2. Israel J. Math. 171 (2009), 51--60.**39**(with S. Launois and N. Nguyen) Dimension and enumeration of primitive ideals in quantum algebras. J. Algebraic Combin. 29 (2009), no. 3, 269--294.**38**Logarithmic frequency in morphic sequences. J. Theor. Nombres Bordeaux 20 (2008), no. 2, 227--241.**37**(with A. Smoktunowicz) The prime spectrum of algebras of quadratic growth. J. Algebra 319 (2008), no. 1, 414--431. pdf**36**(with A. Smoktunowicz) Extended centres of finitely generated prime algebras. Comm. Alg. 38 (2010), no. 1, 332--345. pdf**35**(with J. Farina and C. Pendergrass-Rice) Stably just infinite algebras. J. Algebra 319 (2008), no. 6, 2533--2544. pdf**34**p-Adic valuations and k-regular sequences. Discrete Math. 307 (2007), no. 23, 3070--3075. pdf**33**(with S. Gerhold, M. Klazar, and F. Luca) Non-Holonomicity of Sequences Defined via Elementary Functions. Ann. Comb. 12 (2008), no. 1, 1--16. pdf**32**Function fields in positive characteristic and Cobham's theorem (with B. Adamczewski). J. Algebra 319 (2008), no. 6, 2337--2350. pdf**31**(with S. Gerhold) On the positivity set of a linear recurrence. Israel J. Math. 157, pp. 333--345, 2007. pdf**30**(with M. Skandera) Multicomplexes and polynomials with real zeros. Discrete Math. 307 (2007), no. 6, 668--682. pdf**29**(with Kevin Hare) On Z-modules of algebraic integers. Canad. J. Math. 61 (2009), no. 2, 264--281.**28**Noetherian algebras over algebraically closed fields. J. Algebra. 310 (2007) 148--155. pdf**27**(with T. L. Goh) Lower bounds for pattern avoidance. Inform. and Comput. 205 (2007), no. 9, 1295--1306. pdf**26**Corrigendum and Addendum to `A generalised Skolem-Mahler-Lech Theorem for affine varieties'. J. Lond. Math. Soc. (2) 78 (2008), no. 1, 267--272.**25**A generalised Skolem-Mahler-Lech Theorem for affine varieties. J. London Math. Soc. (2) 73 (2006), no. 2, 367--379. pdf**24**(with Stan Burris and Karen Yeats) Counting rooted trees: the universal law. Electron. J. Combin. 13 (2006), no. 1, Research Paper 63, 64 pp. pdf**23**(with Stan Burris) Partition identities. II. The results of Bateman and Erdos. J. Number Theory 117 (2006), no. 1, 160--190. pdf**22**(with M. Minei) Spectral analysis of the affine graph over the finite ring. Linear Algebra Appl. 414 (2006), no. 1, 244--265. pdf**21**A generalization of Cobham's theorem for regular sequences. Sem. Lothar. Combin. 54A (2005/06), Art. B54Ap, 15 pp. pdf**20**(with Kevin Hare) A classification of (some) cyclotomic Pisot numbers. J. Number Theory 115 (2005), no. 2, 215--229. pdf**19**Unavoidable and almost unavoidable sets of words. Internat. J. Algebra Comput. 15 (2005), no. 4, 717--724. pdf**18**Examples in finite GK dimension. II. Comm. Algebra 33 (2005), no. 9, 3323--3334. pdf**17**A gap result for semigroups of norms of semigroups of matrices. Linear Algebra and its Applications 402 (2005), 101--110. pdf**16**(with A. Garsia and N. Wallach) Some new methods in the theory of m-quasi-invariants. Electron. J. Combin. 11 (2004/06), no. 2, Research Paper 20, 32 pp. pdf**15**Dirichlet series whose partial sums of coefficients have regular variation. Israel J. Math 144 (2004), 343--365.**14**On the values attained by a k-regular sequence. Adv. Applied. Math 34 (2005) 634--643. pdf**13**(with Lance W. Small) Centralizers in algebras of GK dimension 2. Bull. of the London Math. Soc. 36 (2004) 779--785. pdf**12**(with Stan Burris) Partition Identities I: Sandwich theorems and 0-1 laws. Elec. J. Combin. (2004) R49 pdf**11**Hilbert series of prime PI rings. Israel J. Math 139 (2004) 1--10.**10**(with Lance W. Small) A problem of Kaplansky. Procesi-Ausgabe J. Algebra 258 (2002) 386-388. pdf**9**Examples in finite GK dimension. J. Algebra 263 (2003) no. 1, 159--175. pdf**8**(with S. Burris) Asymptotics for logical limit laws. Trans. Amer. Math. Soc. 355 (2003), 3777--3794. pdf**7**Sufficient conditions for zero-one laws. Trans. Amer. Math. Soc. 354 (2002), no. 2, 613--630. pdf**6**A proof of a partition conjecture of Bateman and Erdos. J. Num. Theory 87, (2001), 144-153. pdf**5**(with E. Bender, P.J. Cameron, and L.B. Richmond) Asymptotics for the probability of connectedness and the distribution of number of components. Electron. J. Combin. 7 (2000). pdf**4**When structures are surely connected. Electron. J. Combin. 7 (2000). pdf**3**The equivariant Grothendieck groups of the Russell-Koras threefolds. Can. J. Math. 53 (1), (2001), 3-32. pdf**2**(with P. Borwein and L.B. Richmond) On the growth of the product ... Acta. Arith. 86 (1998), no. 2, 155-170. pdf**1**(with D.Z. Djokovic) Constuction of BHW arrays ... Australas. J. Combin. 14 (1996), 93-107.