Publications
Patterns and periodicity in a family of resultants. J. Théor. Nombres Bordeaux, 21(1), 215–234. Retrieved from http://jtnb.cedram.org/item?id=JTNB_2009__21_1_215_0
. (2009). Open maps: small and large holes with unusual properties. Discrete and Continuous Dynamical Systems, 38(11), 5883--5895. Retrieved from http://aimsciences.org/article/doi/10.3934/dcds.2018255
. (2018). Non-trivial quadratic approximations to zero of a family of cubic Pisot numbers. Trans. Amer. Math. Soc., 355(12), 4767–4779. doi:10.1090/S0002-9947-03-03333-6
. (2003). Non-expansive matrix number systems with bases similar to certain Jordan blocks. Journal of Combinatorial Theory, Series A. Retrieved from https://arxiv.org/abs/2110.11937
. (Accepted). On Newman and Littlewood polynomials with prescribed number of zeros inside the unit disk. Math of Computation, 90(328), 831--870. Retrieved from https://doi.org/10.1090/mcom/3570
. (2021). New techniques for bounds on the total number of prime factors of an odd perfect number. Math. Comp., 76(260), 2241–2248 (electronic). doi:10.1090/S0025-5718-07-02033-9 p20_opn.tar.gz
. (2007). Negative Pisot and Salem numbers as roots of Newman polynomials. Rocky Mountain J. Math., 44(1), 113–138. doi:10.1216/RMJ-2014-44-1-113
. (2014). Multisectioning, Rational Poly-Exponential Functions and Parallel Computation (Masters thesis). April, Simon Fraser University. masters.pdf
. (1999). Multidimensional self-affine sets: non-empty interior and the set of uniquenes. Studia Math., 229, 223-232. Retrieved from http://arxiv.org/abs/1506.08714
. (2015). A multi-dimensional analogue of Cobham’s theorem for fractals. Proc. Amer. Math. Soc., 142(2), 449–456. doi:10.1090/S0002-9939-2013-11843-5
. (2014). Most Reinhardt polygons are sporadic. Geometriae Dedicata, 198(1), 1--18. Retrieved from https://doi.org/10.1007/s10711-018-0326-5
. (2019). More variations on the Sierpinski sieve. Canad. J. Math., 62(3), 543–562. doi:10.4153/CJM-2010-036-3 maple_code_for_computing_ifs.txt
. (2010). More on the total number of prime factors of an odd perfect number. Math. Comp., 74(250), 1003–1008 (electronic). doi:10.1090/S0025-5718-04-01683-7
. (2005). The monic integer transfinite diameter. Math. Comp., 75(256), 1997–2019 (electronic). doi:10.1090/S0025-5718-06-01843-6 p22_table.pdf
. (2006). The Minkowski sum of linear Cantor sets. Acta Arithmetica. Retrieved from https://arxiv.org/abs/2210.07671 table.txt
. (Accepted). The minimal growth of a k-regular sequence. Bull. Aust. Math. Soc., 90(2), 195–203. doi:10.1017/S0004972714000197
. (2014). The Mahler measure of polynomials with odd coefficients. Bull. London Math. Soc., 36(3), 332–338. doi:10.1112/S002460930300287X
. (2004). The Lq-spectrum for a class of self-similar measures with overlap. Asian Journal of Mathematics, 25(2), 195--228. Retrieved from https://dx.doi.org/10.4310/AJM.2021.v25.n2.a3
. (2021). A lower bound for the dimension of Bernoulli convolutions. Exp. Math., 27(4), 414-418. Retrieved from http://arxiv.org/abs/1609.02131
. (2018). A lower bound for Garsia’s entropy for certain Bernoulli convolutions. LMS J. Comput. Math., 13, 130–143. doi:10.1112/S1461157008000430 maple_code_for_garsia_entropy.tar.gz
. (2010).