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mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-unhide:no; mso-padding-alt:0cm 0cm 0cm 0cm; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman",serif;} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1026"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body lang=HR link=blue vlink=purple style='tab-interval:35.0pt'> <div class=WordSection1> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 style='margin-left:13.95pt;border-collapse:collapse;mso-yfti-tbllook:1184; mso-padding-alt:0cm 5.4pt 0cm 5.4pt'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes'> <td width=789 style='width:591.75pt;padding:.75pt .75pt .75pt .75pt'> <p class=NormalWebChar><b><i>Filip Najman</i><o:p></o:p></b></p> <p class=MsoNormal><a href="http://www.math.hr/">Department of Mathematics</a><br> <span style='font-size:1.0pt'>University of Zagreb <br> Bijeni ka cesta 30<br> 10000 Zagreb<br> CROATIA <o:p></o:p></span></p> <p class=MsoNormal>E-mail: fnajman@math.hr<span style='font-size:1.0pt'><o:p></o:p></span></p> <p class=MsoNormal>Konzultacije (ljetni semestar 2017/2018): etvrtak 11-13<span style='font-size:1.0pt'><o:p></o:p></span></p> <p class=MsoNormal>Soba: A305<span style='font-size:1.0pt'><o:p></o:p></span></p> </td> <td width=6 valign=top style='width:4.6pt;padding:.75pt .75pt .75pt .75pt'> <p class=MsoNormal align=right style='text-align:right'>&nbsp;<span style='font-size:1.0pt'><o:p></o:p></span></p> </td> </tr> </table> <h3><b><span style='font-size:13.5pt'><span style='mso-spacerun:yes'></span></span></b><b><span style='font-size:1.0pt'><o:p></o:p></span></b></h3> <h3><b><span style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family: "Times New Roman"'>Nastava ljetni semestar 2017/2018:<o:p></o:p></span></b></h3> <h3><a href="cft.html"><span class=15><b>Poslijediplomski - Teorija polja klasa i teorija kompleksnog mno~enja</b></span></a><b><span style='font-size:1.0pt'><o:p></o:p></span></b></h3> <h3><b><span style='font-size:13.5pt'><a href="https://web.math.pmf.unizg.hr/~duje/utb.html">Teorija brojeva</a><o:p></o:p></span></b></h3> <h3><b><span style='font-size:13.5pt'><o:p>&nbsp;</o:p></span></b></h3> <h3><b><span style='font-size:13.5pt'>Neki kolegiji koje sam dr~ao:</span><o:p></o:p></b></h3> <h3><a href="elipticke.html"><span class=15><b>Poslijediplomski - Elipti ke krivulje nad poljima algebarskih brojeva</b></span></a><b><span style='font-size:1.0pt'><o:p></o:p></span></b></h3> <h3><b><span style='font-size:13.5pt'>Aritmeti ka geometrija: </span></b><a href="ag.pdf"><span class=15><b><span style='font-size:13.5pt'>skripta</span></b></span></a><b><span style='font-size:1.0pt'><o:p></o:p></span></b></h3> <h3><b><span style='font-size:13.5pt'><span style='mso-spacerun:yes'></span></span><o:p></o:p></b></h3> <h3><b><span style='font-size:13.5pt'><span style='mso-spacerun:yes'></span></span></b><b><span style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family: "Times New Roman"'>Publications:</span></b><b><span style='font-size:13.5pt'><o:p></o:p></span></b></h3> <p class=NormalWebChar>1.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="rmntN.pdf"><span class=15>Compact representation of quadratic integers and integer points on some elliptic curves</span></a>, Rocky Mountain J. Math. <b>40 </b>(2010), 1979-2002.</p> <p class=NormalWebChar>2.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="fndeb2.pdf"><span class=15>Integer points on two families of elliptic curves</span></a>, Publ. Math. Debrecen <b>75 </b>(2009), 401-418.</p> <p class=NormalWebChar>3.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="tors_kon.pdf"><span class=15>Torsion of elliptic curves over cyclotomic quadratic fields</span></a>, Math. J. Okayama Univ. <b>53 </b>(2011), 75-82.</p> <p class=NormalWebChar>4.<span style='mso-spacerun:yes'> </span>F. Luca, F. Najman, <a href="FLFNMC.pdf"><span class=15>On the largest prime factor of x^2-1</span></a>, Math. Comp. <b>80 (</b>2011), 429-435. Tables: <a href="oddsort.txt"><span class=15>odd solutions</span></a>, <a href="evensort.txt"><span class=15>even solutions</span></a></p> <p class=NormalWebChar>5.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="amm.pdf"><span class=15>The Diophantine equation x^4+-y^4=iz^2 in Gaussian integers</span></a>, Amer. Math. Monthly <b>117</b> (2010), 637-641.</p> <p class=NormalWebChar>6.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="torshypN.pdf"><span class=15>Complete classication of torsion of elliptic curves over quadratic cyclotomic elds</span></a>, J. Number Theory <b>130 </b>(2010), 1964-1968 </p> <p class=NormalWebChar>7.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="smooth.pdf"><span class=15>Smooth values of some quadratic polynomials</span></a>, Glasnik Mat. Ser III <b>45 </b>(2010), 347-355. Values of x such that the polynomial is smooth: <a href="rezplus1.html"><span class=15>x^2+1</span></a>, <a href="rezplus2.html"><span class=15>x^2+2</span></a>, <a href="rezplus4.html"><span class=15>x^2+4</span></a>, <a href="rezminus2.html"><span class=15>x^2-2</span></a>, <a href="rezminus4.html"><span class=15>x^2-4</span></a>. (For x^2+4 and x^2-4 only the odd values are listed).</p> <p class=NormalWebChar>8.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="cs.pdf"><span class=15>Large strings of consecutive smooth integers</span></a>, Arch. Math. (Basel) <b>97 </b>(2011), 319-324. </p> <p class=NormalWebChar>9.<span style='mso-spacerun:yes'> </span>S. Kamienny, F. Najman, <a href="skfn.pdf"><span class=15>Torsion groups of elliptic curves over quadratic fields</span></a>, Acta. Arith. <b>152</b> (2012), 291-305.</p> <p class=NormalWebChar>10.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="cubic.pdf"><span class=15>Torsion of elliptic curves over cubic fields</span></a>, J. Number Theory, <b>132 </b>(2012), 26-36.</p> <p class=NormalWebChar>11.<span style='mso-spacerun:yes'> </span>A. Dujella, F. Najman, <a href="http://web.math.hr/~fnajman/cecc11.pdf"><span class=15>Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization</span></a>, Period. Math. Hungar. <b>65</b> (2012), 193-203., special issue with papers from the  11<sup>th</sup> Central European Conference on Cryptography .</p> <p class=NormalWebChar>12.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="exceptional.pdf"><span class=15>Exceptional elliptic curves over quartic fields</span></a>, Int. J. Number Theory, <b>8 </b>(2012), 1231-1246.</p> <p class=NormalWebChar>13.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="prime_degree.pdf"><span class=15>On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree</span></a>, Glasgow Math. J. <b>57 </b>(2015), 465-473.</p> <p class=NormalWebChar>14.<span style='mso-spacerun:yes'> </span>J. Bosman, P. Bruin, A. Dujella, F. Najman,<span style='mso-spacerun:yes'> </span><a href="ranknf.pdf"><span class=15>Ranks of elliptic curves with prescribed torsion over number fields</span></a>, Int. Math. Res. Not. IMRN <b>2014 </b>(2014), 2885-2923. </p> <p class=NormalWebChar>15.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="rankrec.pdf"><span class=15>Some rank records for elliptic curves with prescribed torsion over quadratic fields</span></a>, An. Stiint. Univ. &quot;Ovidius&quot; Constanta Ser. Mat <b>22 </b>(2014). 215-220., special issue with papers from the  Workshop on Algebraic and Analytic Number Theory and their Applicaitons </p> <p class=NormalWebChar>16.<span style='mso-spacerun:yes'> </span>A. Dujella, F. Najman, N. Saradha, T. N. Shorey, <a href="bnss.pdf"><span class=15>Products of three factorials</span></a>, Publ. Math. Debrecen <b>85</b> (2014) 123-130. </p> <p class=NormalWebChar>17.<span style='mso-spacerun:yes'> </span>P. Bruin, F. Najman, <a href="qcurves.pdf"><span class=15>The growth of the rank of Abelian varieties upon extensions</span></a>, Ramanujan J. <b>39</b> (2016), 259-269.</p> <p class=NormalWebChar>18.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="ratcubic.pdf"><span class=15>Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n)</span></a>, Math. Res. Letters, <b>23</b> (2016) 245-272.</p> <p class=NormalWebChar>19.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="quadtwists.pdf"><span class=15>The number of twists with large torsion of an elliptic curve</span></a>, Revista de la Real Academia de Ciencias Exactas, Fsicas y Naturales. Serie A. Matemticas <b>109</b> (2015), 535-547.</p> <p class=NormalWebChar>20.<span style='mso-spacerun:yes'> </span>P. Bruin, F. Najman, <a href="qcurveisogeny.pdf"><span class=15>Hyperelliptic modular curves X_0(n) and isogenies of elliptic curves over quadratic fields</span></a>, LMS J. Comput. Math. <b>18</b> (2015) 578-602.</p> <p class=NormalWebChar>21.<span style='mso-spacerun:yes'> </span>M. Miki, F. Najman, <a href="miljen.pdf"><span class=15>On the number of n-isogenies of elliptic curves</span></a>, Glasnik Mat. Ser III, <b>50</b> (2015) 333-348.</p> <p class=NormalWebChar>22.<span style='mso-spacerun:yes'> </span>E. Gonzalez-Jimenez, F. Najman, J. M. Tornero, <a href="CubicTorsion.pdf"><span class=15>Torsion of rational elliptic curves over cubic fields</span></a>, Rocky Mountain J. Math. <b>46 </b>(2016), 1899-1917. </p> <p class=NormalWebChar>23.<span style='mso-spacerun:yes'> </span>P. Bruin, F. Najman, <a href="criterion.pdf"><span class=15>A criterion to rule out torsion groups for elliptic curves over number fields</span></a>, Research in Number Theory <b>2 </b>(2016), 1-12. </p> <p class=NormalWebChar>24.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="isogenies_bound.pdf"><span class=15>Isogenies of non-CM elliptic curves with rational j-invariants over number fields</span></a>, Math. Proc. Cambridge Philos. Soc.<b style='mso-bidi-font-weight:normal'> 164</b> (2018), 179-184.</p> <p class=NormalWebChar>25.<span style='mso-spacerun:yes'> </span>H. B. Daniels, A. Lozano-Robledo, F. Najman, A. V. Sutherland, <a href="torsion_over_Q(3).pdf"><span class=15>Torsion points on rational elliptic curves over the compositum of all cubic fields</span></a>, Math. Comp. <b style='mso-bidi-font-weight:normal'>87 </b>(2018), 425-458.</p> <p class=NormalWebChar>26.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="tamagawa.pdf"><span class=15>Tamagawa Numbers of elliptic curves with C_{13} torsion over quadratic fields</span></a>, Proc. Amer. Math. Soc. <b>145 </b>(2017), 3747-3753.</p> <p class=NormalWebChar>27.<span style='mso-spacerun:yes'> </span>P. Bruin, F. Najman, <a href="fod.pdf"><span class=15>Fields of definition of elliptic curves with prescribed torsion</span></a>, Acta Arith. 181 (2017), 85-96.</p> <p class=NormalWebChar>28.<span style='mso-spacerun:yes'> </span>E. Gonzalez-Jimenez, F. Najman, <a href="growth_Madrid_finalWEB.pdf"><span class=15>Growth of torsion groups of elliptic curves upon base change</span></a>, submitted.</p> <p class=NormalWebChar>29.<span style='mso-spacerun:yes'> </span>F. Najman, <a href="Qcurves.pdf">Torsion of Q-curves over quadratic fields</a>, preprint. </p> <p class=NormalWebChar>30.<span style='mso-spacerun:yes'> </span>M. Derickx, F. Najman, <a href="cyclic_cubic.pdf">Torsion of elliptic curves over cyclic cubic fields</a>, preprint. <o:p></o:p></p> </div> <!--EndFragment--> </body> </html>