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Filip Najman

0000-0002-0994-0846
math.NTmath.AG

On Valency

published · living versions
W_dzmd4r5j·v1 · currentpublished
Classification of torsion of elliptic curves over sextic fields
1 version
W_j2cm7cj4·v2published
Classification of torsion of elliptic curves over quintic fields

Preprints & journals

43 papers in the corpus · 2010–2026
Classification of torsion of elliptic curves over quintic fields2609.12846v3 · Filip Najman2026 · 0 citationsarXivon Valency
Rational torsion on simple genus two Jacobians2608.28543v1 · Jennifer S. Balakrishnan, Filip Najman, Ari Shnidman et al.2026 · 0 citationsarXiv
Rational points on modular curves: parameterization and geometric explanations2602.20964v2 · Maarten Derickx, Sachi Hashimoto, Filip Najman et al.2026 · 0 citationsarXiv
Torsion groups of elliptic curves that appear infinitely often over septic, octic and nonic fields2602.03513v4 · Filip Najman, Marin Varivoda2026 · 0 citationsarXiv
Sporadic points on X0(N)X_0(N)2511.09015v2 · Maarten Derickx, Filip Najman2025 · 0 citationsarXiv
Quadratic points on modular curves X0(N)X_0(N) for N≤100N\leq 1002508.14480v1 · Filip Najman, Ivan Novak2025 · 0 citationsarXiv
Classification of torsion of elliptic curves over quartic fields2412.16016v2 · Maarten Derickx, Filip Najman2024 · 1 citationarXiv
Towards a classification of isolated jj-invariants2311.07740v4 · Abbey Bourdon, Sachi Hashimoto, Timo Keller et al.2023 · 1 citationMath. Comp. 94 (2025), 447-473
Quadratic points on X0(163)X_0(163)2310.10432v1 · Philippe Michaud-Jacobs, Filip Najman2023 · 0 citationsarXiv
On rr-isogenies over Q(ζr)\mathbb{Q}(\zeta_r) of elliptic curves with rational jj-invariants2307.14131v3 · Filip Najman2023 · 1 citationarXiv
Hyperelliptic and trigonal modular curves in characteristic pp2307.04864v2 · Maarten Derickx, Filip Najman2023 · 0 citationsQ. J. Math. (2024) haae059
Computing quadratic points on modular curves X0(N)X_0(N)2303.12566v2 · Nikola Adzaga, Timo Keller, Philippe Michaud-Jacobs et al.2023 · 7 citationsarXiv
Gonality of the modular curve X0(N)X_0(N)2207.11650v4 · Filip Najman, Petar Orli'c2022 · 2 citationsarXiv
Two results on xr+yr=dzpx^r + y^r = dz^p2207.05585v2 · Nuno Freitas, Filip Najman2022 · 0 citationsarXiv
Cyclic isogenies of elliptic curves over fixed quadratic fields2206.08891v3 · Barinder S. Banwait, Filip Najman, Oana Padurariu2022 · 8 citationsMath. Comp. 93 (2024), 841-862
Quadratic points on bielliptic modular curves2112.03226v2 · Filip Najman, Borna Vukorepa2021 · 11 citationsarXiv
Sporadic points of odd degree on X1(N)X_1(N) coming from Q\mathbb{Q}-curves2107.10909v2 · Abbey Bourdon, Filip Najman2021 · 0 citationsarXiv
Splitting of primes in number fields generated by points on some modular curves2009.02485v5 · Filip Najman, Antonela Trbovi'c2020 · 4 citationsarXiv
Counting elliptic curves with prescribed level structures over number fields2008.05280v2 · Peter Bruin, Filip Najman2020 · 6 citationsarXiv
Q\mathbb Q-curves over odd degree number fields2004.10054v6 · John Cremona, Filip Najman2020 · 10 citationsarXiv
Torsion groups of elliptic curves over the Zp\mathbb Z_p-extensions of Q\mathbb Q1808.05243v2 · Michael Chou, Harris B. Daniels, Ivan Krijan et al.2018 · 0 citationsarXiv
Torsion of elliptic curves over cyclic cubic fields1804.06777v1 · Maarten Derickx, Filip Najman2018 · 10 citationsMath. Comp. 88 (2019), 2443-2459
Torsion of $\Q$-curves over quadratic fields1803.03460v3 · Samuel Le Fourn, Filip Najman2018 · 1 citationarXiv
Growth of torsion groups of elliptic curves upon base change1609.02515v6 · Enrique Gonz'alez-Jim'enez, Filip Najman2016 · 38 citationsMath. Comp. 89 (2020), no. 323, 1457-1485
Fields of definition of elliptic curves with prescribed torsion1607.05394v2 · Peter Bruin, Filip Najman2016 · 8 citationsarXiv
Tamagawa Numbers of elliptic curves with C13C_{13} torsion over quadratic fields1605.05512v2 · Filip Najman2016 · 0 citationsarXiv
Torsion subgroups of rational elliptic curves over the compositum of all cubic fields1509.00528v5 · Harris B. Daniels, Alvaro Lozano-Robledo, Filip Najman et al.2015 · 19 citationsMath. Comp. 87 (2018), 425-458
Isogenies of non-CM elliptic curves with rational jj-invariants over number fields1506.03127v1 · Filip Najman2015 · 8 citationsarXiv
Torsion of rational elliptic curves over cubic fields1411.3467v2 · Enrique Gonzalez-Jimenez, Filip Najman, Jose M. Tornero2014 · 11 citationsRocky Mountain J. Math. 46 (2016), no. 6, 1899-1917
The number of twists with large torsion of an elliptic curve1401.0205v3 · Filip Najman2013 · 15 citationsarXiv
Torsion of rational elliptic curves over cubic fields and sporadic points on X1(n)X_1(n)1211.2188v4 · Filip Najman2012 · 66 citationsarXiv
The growth of the rank of Abelian varieties upon extensions1210.6085v1 · Peter Bruin, Filip Najman2012 · 1 citationarXiv
Ranks of elliptic curves with prescribed torsion over number fields1201.0252v1 · Johan Bosman, Peter Bruin, Andrej Dujella et al.2011 · 18 citationsInt. Math. Res. Not. IMRN 2014 (11) (2014), 2885-2923
Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization1201.0266v1 · Andrej Dujella, Filip Najman2011 · 3 citationsPeriod. Math. Hungar. 65 (2012), 193-203
On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree1109.6278v4 · Filip Najman2011 · 1 citationarXiv
Torsion of elliptic curves over cubic fields1108.3709v1 · Filip Najman2011 · 11 citationsNumber Theory, 132 (2012), 26-36
Large strings of consecutive smooth integers1108.3710v1 · Filip Najman2011 · 0 citationsArch. Math. (Basel) 97 (2011), 319-324
Torsion groups of elliptic curves over quadratic fields1103.5906v5 · Sheldon Kamienny, Filip Najman2011 · 32 citationsActa. Arith. 152 (2012), 291-305
The Diophantine equation x4±y4=iz2x^4\pm y^4=iz^2 in Gaussian integers1005.1528v1 · Filip Najman2010 · 1 citationAmer. Math. Monthly 117 (2010), 637-641
On the largest prime factor of x2−1x^2-11005.1533v1 · Florian Luca, Filip Najman2010 · 15 citationsMath. Comp. 80 (2011), 429-435
Smooth values of some quadratic polynomials1005.1535v1 · Filip Najman2010 · 6 citationsGlasnik Mat. Ser III 45 (2010), 347-355
Torsion of elliptic curves over quadratic cyclotomic fields1005.0558v1 · Filip Najman2010 · 11 citationsMath. J. Okayama Univ. 53 (2011), 75-82
Complete classification of torsion of elliptic curves over quadratic cyclotomic fields1005.0560v1 · Filip Najman2010 · 25 citationsJ. Number Theory 130 (2010), 1964-1968
Career total: 78 works. 43 are in this corpus.

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