Dense generic well-rounded lattices.(With C. Hollanti and N. Miller). SIAM Journal on Applied Algebra and Geometry. Vol. 9, No. 1, pp. 154-185(2025).
The shape of cyclic number fields. (With W. Bolaños). Canadian Mathematical Bulletin. Vol 66, Issue 2, 599-609. (2023).
Density questions on arithmetic equivalence. Proceedings of the American Mathematical society. Vol 151, Number 7, 2783-2794. (2023).
The integral trace form as a complete invariant for real Sn number fields. (With C. Rivera). Documenta Mathematica. Vol 27, 1865-1889. (2022).
Bases of minimal vectors in tame lattices. (With M.T. Damir). Acta Arithmetica. Vol. 205 no.3, pp 265-285. (2022)
Theta series and number fields: theorems and experiments. (With A. Barquero-Sánchez and N.C. Ryan.) Ramanujan Journal. 56, 613–630. (2021)
The trace form over cyclic number fields. (With W. Bolaños). Canadian Journal of Mathematics. Vol 73, Issue 4, 947-969. (2021)
The $(\alpha, \beta)$-ramification invariants of a number field. Mathematica Slovaca, Vol. 71, No. 1, (2021)
An introduction to oddly tame number fields. Journal de Théorie des Nombres de Bordeaux, Tome 32 no. 3, pp. 711-717. (2020).
A proof of a conjecture on trace-zero forms and shapes of number fields. (With C. Rivera). Research in Number Theory 6, 35 (2020).
Unit groups of quotients of number fields. (With J. Caro-Reyes). Communications of the Korean Math. Soc. 35 No 2. 481-486. (2020)
On a question of Perlis and Stuart regarding arithmetic equivalence. New York journal of Mathematics 25, 558-573. (2019)
On a characterization of path connected topological fields. (With X. Caicedo)Journal of Pure and Applied Algebra 223 no. 12 5279-5284. (2019)
An $\ell-p$ switch trick to obtain a new proof of a criterion for arithmetic equivalence. (With T. Bogart) Research in Number Theory 5, 1, (2019).
The Spinor genus of the integral trace form. Transactions of the American Mathematical society 369,1547-1577. (2017)
The shape of Z/lZ-number fields. (With M. Monsurrò) Ramanujan Journal 39, no. 3 451-463. (2016)
On the arithmetic determination of the trace. Journal of Algebra 444, 272-283. (2015)
Weak Arithmetic equivalence. Canadian Mathematical Bulletin, 58, 115-127. (2015).
A space of weight 1 modular forms attached to totally real cubic number fields. Contemporary Mathematics 649, Trends in Number theory, (2015) 131-137.
On number fields with equivalent integral trace forms. International Journal of number theory 8, no. 7, 1569-1580. (2012)
Power map permutations and symmetric differences in finite groups. (With M. Hablicsek) Journal of Algebra and its applications 10, no. 5, 947-959. (2011)
Integral trace forms associated to cubic extensions. Algebra and Number theory 4, no. 6, 681-699. (2010)
The genus of the integral trace. Useful reference to some of my papers.
Mordell-Weil ranks in towers of modular Jacobians. Ph.D thesis.
Automorfismos Polinomiales y la Conjetura de Keller. Sponsored by research fund of the Faculty of Sciences, Universidad de Los Andes. (2005)