Valency Hub
alphaFeedback
NF

Nuno Freitas

ICMAT0000-0002-4740-3427
math.NTFermatnumber fieldunit equation

On Valency

published · living versions
W_rqwdekyp·v1 · currentpublished
Serre modularity over real quadratic fields
with Luis V. Dieulefait, Ariel Pacetti
1 version

Preprints & journals

37 papers in the corpus · 2011–2026
22-adic Representations of Elliptic Curves over Q2\mathbb{Q}_22610.25332v1 · Jose Castro-Moreno, Nuno Freitas2026 · 0 citationsarXiv
On Fermat-type equations of signature (r,r,p)(r,r,p)2609.32509v1 · Nuno Freitas2026 · 0 citationsarXiv
Congruences and ramified primes in fields of coefficients of newforms2603.29468v1 · Nuno Freitas, Filip Gawron2026 · 0 citationsarXiv
Revisiting the equation x2+y3=zpx^2+y^3=z^p2512.10781v1 · Nuno Freitas, Diana Mocanu, Ignasi Sanchez-Rodriguez2025 · 0 citationsarXiv
On inertial types of elliptic curves2512.05023v2 · Jose Castro-Moreno, Enric Florit, Nuno Freitas2025 · 0 citationsarXiv
Revisiting the Fermat-type equation x13+y13=3z7x^{13} + y^{13} = 3z^72510.13773v1 · Nicolas Billerey, Imin Chen, Lassina Demb'el'e et al.2025 · 0 citationsarXiv
On the generalized Fermat equation x13+y13=znx^{13} + y^{13} = z^n2510.12092v1 · Alex J. Best, Sander R. Dahmen, Nuno Freitas2025 · 0 citationsarXiv
Comparing Galois representations in the residually reducible case2510.12956v1 · Nuno Freitas, Ignasi S'anchez-Rodr'iguez2025 · 0 citationsarXiv
Symplectic criteria for elliptic curves, revisited2509.19938v2 · Alain Kraus, Nuno Freitas, Ignasi S'anchez-Rodr'iguez2025 · 0 citationsarXiv
Local points on twists of X(p)X(p) with applications2509.04294v4 · Nuno Freitas, Diana Mocanu2025 · 0 citationsarXiv
The Generalized Fermat Equation x2+y3=z25x^2 + y^3 = z^{25}2506.10667v1 · Nuno Freitas, Michael Stoll2025 · 0 citationsarXiv
On Darmon's program for the Generalized Fermat equation, II2308.07062v2 · Nicolas Billerey, Imin Chen, Luis Dielefait et al.2023 · 6 citationsarXiv
Two results on xr+yr=dzpx^r + y^r = dz^p2207.05585v2 · Nuno Freitas, Filip Najman2022 · 0 citationsarXiv
On Darmon's program for the generalized Fermat equation, I2205.15861v5 · Nicolas Billerey, Imin Chen, Luis Dieulefait et al.2022 · 0 citationsarXiv
On Galois inertial types of elliptic curves over Qℓ\mathbb{Q}_\ell2203.07787v3 · Lassina Demb'el'e, Nuno Freitas, John Voight2022 · 0 citationsarXiv
Local criteria for the unit equation and the asymptotic Fermat's Last Theorem.33727423 · Freitas, Nuno, Kraus, Alain, Siksek, Samir2021 · 7 citationsProceedings of the National Academy of Sciences of the United States of America. 2021;118(12)
On the unit equation over cyclic number fields of prime degree2012.06445v1 · Nuno Freitas, Alain Kraus, Samir Siksek2020 · 4 citationsAlg. Number Th. 15 (2021) 2647-2653
Chevalley's class number formula, unit equations and the asymptotic Fermat's Last Theorem2003.05791v2 · Nuno Freitas, Alain Kraus, Samir Siksek2020 · 0 citationsarXiv
Global methods for the symplectic type of congruences between elliptic curves1910.12290v2 · John Cremona, Nuno Freitas2019 · 9 citationsarXiv
Class field theory, Diophantine analysis and the asymptotic Fermat's Last Theorem1902.07798v1 · Nuno Freitas, Alain Kraus, Samir Siksek2019 · 23 citationsarXiv
On the degree of the pp-torsion field of elliptic curves over Qℓ\mathbb{Q}_\ell for ℓ≠p\ell \neq p1804.07627v1 · Nuno Freitas, Alain Kraus2018 · 0 citationsarXiv
On asymptotic Fermat over the Z_2 extension of Q1804.02849v2 · Nuno Freitas, Alain Kraus, Samir Siksek2018 · 0 citationsarXiv
Some extensions of the modular method and Fermat equations of signature (13,13,n)(13,13,n)1802.04330v3 · Nicolas Billerey, Iimin Chen, Lassina Dembele et al.2018 · 12 citationsarXiv
A multi-Frey approach to Fermat equations of signature (r,r,p)(r,r,p)1703.06530v4 · Nicolas Billerey, Imin Chen, Luis Dieulefait et al.2017 · 11 citationsTrans. Amer. Math. Soc. 371 (2019), no. 12, 8651--8677
The generalized Fermat equation with exponents 2, 3, n1703.05058v3 · Nuno Freitas, Bartosz Naskrecki, Michael Stoll2017 · 2 citationsarXiv
Sums of two cubes as twisted perfect powers, revisited1702.07827v1 · Michael A. Bennett, Carmen Bruni, Nuno Freitas2017 · 7 citationsarXiv
On the symplectic type of isomorphims of the p-torsion of elliptic curves1607.01218v5 · Nuno Freitas, Alain Kraus2016 · 1 citationarXiv
An application of the symplectic argument to some Fermat-type Equations1606.04374v1 · Nuno Freitas, Alain Kraus2016 · 10 citationsarXiv
A result on the equation xp+yp=zrx^p + y^p = z^r using Frey abelian varieties1605.02198v1 · Nicolas Billerey, Imin Chen, Luis Dieulefait et al.2016 · 3 citationsarXiv
On the Fermat-type Equation x3+y3=zpx^3 + y^3 = z^p1601.06361v1 · Nuno Freitas2016 · 13 citationsarXiv
Criteria for p-ordinarity of families of elliptic curves over infinitely many number fields1404.3278v1 · Nuno Freitas, Panagiotis Tsaknias2014 · 0 citationsarXiv
Base change for Elliptic Curves over Real Quadratic Fields1402.6232v3 · Luis Dieulefait, Nuno Freitas2014 · 1 citationarXiv
Elliptic Curves over Real Quadratic Fields are Modular1310.7088v4 · Nuno Freitas, Bao V. Le Hung, Samir Siksek2013 · 95 citationsarXiv
Criteria for irreducibility of mod p representations of Frey curves1309.4748v3 · Nuno Freitas, Samir Siksek2013 · 28 citationsarXiv
Recipes to Fermat-type equations of the form x^r + y^r = Cz^p1203.3371v2 · Nuno Freitas2012 · 4 citationsarXiv
Fermat-type equations of signature (13,13,p) via Hilbert cuspforms1112.4521v2 · Luis Dieulefait, Nuno Freitas2011 · 18 citationsarXiv
The Fermat-type equations x^5 + y^5 = 2z^p or 3z^p solved through Q-curves1103.5388v1 · Luis Dieulefait, Nuno Freitas2011 · 2 citationsarXiv
Career total: 56 works. 37 are in this corpus.

Profile built from the corpus for this byline.

Author records are still filling in while the Hub is in alpha. If this is your page, you'll be able to claim it soon. Spot a mistake? Tell us.