Publications

Color keys: algebra number theory automata and words combinatorics algebraic geometry

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.