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**62**(with B. Adamczewski) On the set of zero coefficients of algebraic power series. To appear in Invent. Math.**61**(with S. Launois and K. Casteels) Enumeration of $H$-strata in quantum matrices with respect to dimension. Submitted. pdf**60**(with S. Launois and K. Casteels) Primitive ideals in quantum Schubert cells: dimension of the strata. Submitted pdf**59**(with G. Abrams and K. M. Rangaswamy) The Dixmier-Moeglin equivalence for Leavitt path algebras. To appear in Alg. Rep. Theory. pdf**58**(with S. Burris and K. Yeats) Monadic Second-Order Classes of Forests with a Monadic Second-Order 0-1 Law. Submitted. pdf**57**(with S. Burris and K. Yeats) Spectra and Systems of Equations. Submitted. pdf**56**(with S. Burris and K. Yeats) Characteristic Points of Recursive Systems. Submitted. pdf**55**(with N. Bruin and M. Coons) Transcendence of generating functions whose coefficients are multiplicative. To appear in Trans. Amer. Math. Soc. pdf**54**Transcendence Degree of Division algebras. To appear in Israel J. Math. pdf**53**(with B. Adamczewski) An analogue of Cobham's theorem for fractals. To appear in Trans. Amer. Math. Soc.**52**(with B. Adamczewski) Automata and number theory. Book Chapter in Handbook of Automata, Edited by J.-E. Pin.**51**(with S. Burris) Logical limit laws. Book Chapter in Model Theoretic Methods in Finite Combinatorics, Edited by J. Makowsky and M. Grohe.**50**(with D. Rogalski and S. Sierra) The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. To appear in Israel J. Math. pdf**49**(with D. Ghioca and T. Tucker) The dynamical Mordell-Lang problem for etale maps. To appear in Amer. J. Math.**48**A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. To appear in J. Alg. 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. pdf**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.