Associate
Professor
Department of Mathematics
Universidad de los Andes
Bogotá, Colombia.
Office: H-203
Phone: (571) 3394949 Ext 5220
E-mail: g.mantilla691@uniandes.edu.co
General Information: Before arriving to the Math department at Los Andes I was a postdoctoral researcher in the CSAG group at EPFL, and in the number theory group at UBC. I finished a Ph.D at UW-Madison under the supervision of Jordan Ellenberg. My primary research fields are algebraic number theory and arithmetic geometry. More particularly I'm interested in Iwasawa theory, integral quadratic forms, modular curves, Galois representations, Commutative algebra and applications of model theory to algebra.
Research,
preprints and publications:
The shape of Z/lZ-number fields. (With M. Monsurrò) Ramanujan Journal 39 (2016), no. 3 451-463.
On the arithmetic determination of the trace. Journal of Algebra 444 (2015), 272-283.
Weak Arithmetic equivalence. Canadian Mathematical Bulletin, 58 (2015), 115-127.
On number fields with equivalent integral trace forms. International Journal of number theory 8 (2012), no. 7, 1569-1580.
Power map permutations and symmetric differences in finite groups. (With M. Hablicsek) Journal of Algebra and its applications 10 (2011), no. 5, 947-959.
Automorfismos Polinomiales y la Conjetura de Keller. (2005) Sponsored by research fund of the Faculty of Sciences, Universidad de Los Andes.
Teaching:
MATE1105. Álgebra lineal
Click and you'll find the
material of a class I taught, long time ago, as a
preparation for the algebra qualifying exam at UW
Madison.
CV: .PDF
Links:
NFT John Jones' tables of number fields.
arXiv arXiv, Number theory.
AGC Conferences in Arithmetic geometry.
NTC Conferences in Number theory.
MSN MathSciNet.
MTC Math department Colloquium.