Publications

1.      F. Najman, Compact representation of quadratic integers and integer points on some elliptic curves, Rocky Mountain J. Math. 40 (2010), 1979-2002.
2.      F. Najman, Integer points on two families of elliptic curves, Publ. Math. Debrecen 75 (2009), 401-418.
3.      F. Najman, Torsion of elliptic curves over cyclotomic quadratic fields, Math. J. Okayama Univ. 53 (2011), 75-82.
4.      F. Luca, F. Najman, On the largest prime factor of x^2-1, Math. Comp. 80 (2011), 429-435. Tables: odd solutions, even solutions
5.      F. Najman, The Diophantine equation x^4+-y^4=iz^2 in Gaussian integers, Amer. Math. Monthly 117 (2010), 637-641.
6.      F. Najman, Complete classification of torsion of elliptic curves over quadratic cyclotomic fields, J. Number Theory 130 (2010), 1964-1968
7.      F. Najman, Smooth values of some quadratic polynomials, Glasnik Mat. Ser III 45 (2010), 347-355. Values of x such that the polynomial is smooth: x^2+1, x^2+2, x^2+4, x^2-2, x^2-4. (For x^2+4 and x^2-4 only the odd values are listed).
8.      F. Najman, Large strings of consecutive smooth integers, Arch. Math. (Basel) 97 (2011), 319-324.
9.      S. Kamienny, F. Najman, Torsion groups of elliptic curves over quadratic fields, Acta. Arith. 152 (2012), 291-305. Errata
10.     F. Najman, Torsion of elliptic curves over cubic fields, J. Number Theory, 132 (2012), 26-36.
11.     A. Dujella, F. Najman, Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization, Period. Math. Hungar. 65 (2012), 193-203., special issue with papers from the “11^th Central European Conference on Cryptography”.
12.     F. Najman, Exceptional elliptic curves over quartic fields, Int. J. Number Theory, 8 (2012), 1231-1246.
13.     F. Najman, On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree, Glasgow Math. J. 57 (2015), 465-473.
14.     J. Bosman, P. Bruin, A. Dujella, F. Najman,  Ranks of elliptic curves with prescribed torsion over number fields, Int. Math. Res. Not. IMRN 2014 (2014), 2885-2923.
15.     F. Najman, Some rank records for elliptic curves with prescribed torsion over quadratic fields, An. Stiint. Univ. "Ovidius" Constanta Ser. Mat 22 (2014). 215-220., special issue with papers from the „Workshop on Algebraic and Analytic Number Theory and their Applicaitons“
16.      A. Dujella, F. Najman, N. Saradha, T. N. Shorey, Products of three factorials, Publ. Math. Debrecen 85 (2014) 123-130.
17.      P. Bruin, F. Najman, The growth of the rank of Abelian varieties upon extensions, Ramanujan J. 39 (2016), 259-269.
18.      F. Najman, Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n), Math. Res. Letters 23 (2016) 245-272.
19.      F. Najman, The number of twists with large torsion of an elliptic curve, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 109 (2015), 535-547.
20.      P. Bruin, F. Najman, Hyperelliptic modular curves X_0(n) and isogenies of elliptic curves over quadratic fields, LMS J. Comput. Math. 18 (2015) 578-602. Errata
21.     M. Mikić, F. Najman, On the number of n-isogenies of elliptic curves, Glasnik Mat. Ser III, 50 (2015) 333-348.
22.     E. Gonzalez-Jimenez, F. Najman, J. M. Tornero, Torsion of rational elliptic curves over cubic fields, Rocky Mountain J. Math. 46 (2016), 1899-1917.
23.     P. Bruin, F. Najman, A criterion to rule out torsion groups for elliptic curves over number fields, Res. Number Theory 2 (2016), 1-12. Errata
24.     F. Najman, Isogenies of non-CM elliptic curves with rational j-invariants over number fields, Math. Proc. Cambridge Philos. Soc. 164 (2018), 179-184.
25.     H. B. Daniels, A. Lozano-Robledo, F. Najman, A. V. Sutherland, Torsion points on rational elliptic curves over the compositum of all cubic fields, Math. Comp. 87 (2018), 425-458.
26.     F. Najman, Tamagawa Numbers of elliptic curves with C_{13} torsion over quadratic fields, Proc. Amer. Math. Soc. 145 (2017), 3747 -3753.
27.     P. Bruin, F. Najman, Fields of definition of elliptic curves with prescribed torsion, Acta Arith. 181 (2017), 85-96.
28.     E. Gonzalez-Jimenez, F. Najman, Growth of torsion groups of elliptic curves upon base change, Math. Comp. 89 (2020), 1457-1485. Errata
29.     M. Derickx, F. Najman, Torsion of elliptic curves over cyclic cubic fields, Math. Comp. 88 (2019), 2443-2459.
30.     S. Le Fourn, F. Najman, Torsion of Q-curves over quadratic fields, Math. Res. Letters 27 (2020), 209-225.
31.     M. Chou, H. Daniels, I. Krijan, F. Najman, Torsion of elliptic curves over Zp extensions of Q, New York J. Math. 27 (2021), 99-123.
32.     M. Derickx, F. Najman, S. Siksek, Elliptic curves over totally real cubic fields are modular, Algebra & Number Theory, 14 (2020), 1791-1800.
33.     E. Gonzalez-Jimenez, F. Najman, An algorithm for determining torsion growth of elliptic curves, Exp. Math. 32 (2023), 70-81.
34.     F. Najman, G. Turcas, Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields, Int. J. Number Theory 17 (2021), 1729-1738.
35.     J. E. Cremona, F. Najman, Q-curves over odd degree number fields, Res. Number Theory, 7, 62 (2021).
36.     P. Bruin, F. Najman, Counting elliptic curves with prescribed level structures over number fields, J. London Math. Soc. 102 (2022), 2415-2435.
37.      F. Najman, A. Trbović, Splitting of primes in number fields generated by points on some modular curves , Res. Number Theory, 8, 28 (2022).
38.      A. Bourdon, F. Najman, Sporadic points of odd degree on X_1(n) coming from Q-curves , preprint. code
39.      F. Najman, B. Vukorepa, Quadratic points on bielliptic modular curves , Math. Comp. 92 (2023), 1791-1816.
40.      F. Najman, On r-isogenies over Q(\zeta_r) of elliptic curves with rational j-invariants , Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 118 (2024), 134.
41.      B. S. Banwait, F. Najman, O. Padurariu, Cyclic isogenies of elliptic curves over a fixed quadratic field, Math. Comp. 93 (2024), 841-862.
42.      N. Freitas, F. Najman, Two results on x^r+y^r=dz^p , Proc. Amer. Math. Soc. 152 (2024), 591-598.
43.      F. Najman, P. Orlić, Gonality of the modular curve X_0(N), Math. Comp. 93 (2024), 863-886. Errata
44.      N. Adžaga, T. Keller, P. Michaud-Jacobs, F. Najman, E. Ozman, B. Vukorepa, Computing quadratic points on modular curves X_0(N), Math. Comp. 93 (2024), 1371-1397.
45.      M. Derickx, F. Najman Hyperelliptic and trigonal modular curves in characteristic p, Q. J. Math (Oxford), to appear.
46.      P. Michaud-Jacobs, F. Najman Quadratic points on X_0(163), J. Algebra, to appear.
47.      A. Bourdon, S. Hashimoto, T. Keller, Z. Klagsbrun, D. Lowry-Duda, T. Morrison, F. Najman, H. Shukla, Towards a Classification of Isolated j-invariants, With an appendix by Maarten Derickx and Mark van Hoeij, Math. Comp. 94 (2025), 447-473.