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