Postdoctoral
Fellow
Department of Mathematics
University of British Columbia
1984 Mathematics road
Vancouver, BC V6T 1Z2
Office: 216F LSK
Phone: 604 8229388
E-mail: mantilla@math.ubc.ca
General Information: I 'm
currently a postdoctoral member of the number
theory group at UBC. Before
coming to Vancouver I finished a Ph.D at UW-Madison under
the supervision of Jordan Ellenberg. My primary research
fields are arithmetic geometry and algebraic number theory,
and within these branches my research has been focused in
Iwasawa theory, and the study of number fields via the
integral trace form. I'm also interested representation
theory, quadratic forms, Galois representations, commutative
algebra and applications of model theory to algebra.
News!: I'm one of the organizers
of the 26th
Automorphic forms workshop to be held in Vancouver
next April. If you are interested in participating send me
an email.
Research
and
Publications:
A space of weight one modular forms attached to totally real cubic number fields. Submitted. arXiv version.
Power map permutations and symmetric differences in finite groups. Journal of Algebra and its applications 10 (2011), no. 5, 947-959. arXiv version.
Integral Trace Forms Associated to Cubic extensions. Algebra and Number Theory 4 (2010), no. 6, 681-699. arXiv version.
Teaching: I've been teaching math since 2001.
MATH104/104. Differential
calculus with applications to commerce and social
sciences.
Click and you'll find what courses I've taught and where.
Here you can find past material of courses that I have taught at Madison and at UBC.
Some comments from my teaching evaluations at UBC.
CV: .PDF
Links:
NFT John Jones' tables of number fields.
arXiv arXiv, Number theory.
AGC Conferences in Arithmetic geometry.
NTC Conferences in Number theory.
MO Math Overflow.
NTS PIMS/UBC/SFU Number theory seminar.