Nuno Freitas


I am a Postdoctoral Fellow in the Mathematics Department at the University of British Columbia.

Contact Information


Department of Mathematics
University of British Columbia
1984 Mathematics Road
Vancouver, BC, V6T-1Z2
Canada

Mathematics Building
Office 209

(My first name)@math.ubc.ca

Teaching

Math 312 Winter 2016
Math 312 Summer 2016

Research Papers

Preprints

  1. M. A. Bennett, C. Bruni, N. Freitas: Sums of two cubes as twisted perfect powers, revisited. (pdf)
  2. N. Billerey, I. Chen, L. Dieulefait, N. Freitas: A multi-Frey approach to Fermat equations of signature (r,r,p). (pdf)
  3. N. Freitas, A. Kraus: On symplectic isomorphisms of the p-torsion of elliptic curves. (pdf)
  4. N. Freitas, B. Naskręcki, M. Stoll: The generalized Fermat equation with exponents 2, 3, n. (pdf)

Publications

My papers are available on arxiv.
  1. N. Billerey, I. Chen, L. Dieulefait, N. Freitas: A result on the equation xp + yp = zr using Frey abelian varieties, Proceedings of the AMS (to appear).
  2. N. Freitas: On the Fermat-type equation x3 + y3 = zp, Commentarii Mathematici Helvetici 91 (2016), 295--304.
  3. N. Freitas, A. Kraus: An application of the symplectic argument to some Fermat-type equations, C. R. Math. Acad. Sci. Paris 354 (2016), no. 8, 751--755.
  4. N. Freitas, S. Siksek: The Asymptotic Fermat's Last Theorem for Five-Sixths of Real Quadratic Fields, Compositio Mathematica 151 (2015), no. 8, 1395--1415.
  5. N. Freitas, B. Le Hung, S. Siksek: Elliptic Curves over Real Quadratic Fields are Modular, Inventiones Mathematicae 201 (2015), no. 1, 159--206.
  6. N. Freitas, S. Siksek: Criteria for irreducibility of mod p representations of Frey curves, Journal de Théorie des Nombres de Bordeaux 27 (2015), 67--76.
  7. N. Freitas, S. Siksek: Fermat's Last Theorem over some small real quadratic fields, Algebra and Number Theory 9 (2015), no. 4, 875--895.
  8. L. Dieulefait, N. Freitas: Base change for Elliptic Curves over Real Quadratic Fields, C. R. Math. Acad. Sci. Paris 353 (2015), no. 1, 1--4.
  9. N. Freitas: Recipes for Fermat-type equations of the form xr + yr = Czp, Mathematische Zeitschrift 279 (2015), no. 3-4, 605--639.
  10. N. Freitas, P. Tsaknias: Criteria for p-ordinarity of families of elliptic curves over infinitely many number fields, International Journal of Number Theory 11 (2015), no. 1, 81--87.
  11. L. Dieulefait, N. Freitas: The Fermat-type equations x5 + y5 = 2zp or 3zp solved through Q-curves, Mathematics of Computation 83 (2014), no. 286, 917--933.
  12. L. Dieulefait, N. Freitas: Fermat-type equations of signature (13,13,p) via Hilbert cuspforms, Mathematische Annalen 357 (2013), no. 3, 987--1004.