Edit Profile (opens in new tab) Ulmer, Douglas L. Compute Distance To: Compute Author ID: ulmer.douglas-l Published as: Ulmer, Douglas; Ulmer, Douglas L.; Ulmer, D. L. more...less Homepage: https://www.math.arizona.edu/~ulmer/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 36 Publications since 1990, including 1 Book 2 Further Contributions Biographic References: 1 Publication Co-Authors: 15 Co-Authors with 14 Joint Publications 432 Co-Co-Authors all top 5 Co-Authors 22 single-authored 4 Pries, Rachel J. 2 Conceição, Ricardo P. 2 Hall, Chris 2 Urzúa, Giancarlo 2 Voloch, José Felipe 1 Bars Cortina, Francesc 1 Berger, Lisa 1 Böckle, Gebhard 1 Crowell, Rachel 1 Cukierman, Fernando 1 Goss, David Mark 1 Griffon, Richard 1 Longhi, Ignazio 1 Occhipinti, Thomas 1 Pannekoek, René 1 Park, Jennifer 1 Pomerance, Carl Bernard 1 Sharif, Shahed 1 Silverberg, Alice 1 Thakur, Dinesh S. 1 Trihan, Fabien 1 Zarkhin, Yuriĭ Gennad’evich all top 5 Serials 3 Inventiones Mathematicae 3 Mathematical Research Letters 2 Proceedings of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 The New York Journal of Mathematics 2 Algebra & Number Theory 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Notices of the American Mathematical Society 1 New Zealand Journal of Mathematics 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 European Journal of Mathematics 1 Advanced Courses in Mathematics – CRM Barcelona Fields 30 Number theory (11-XX) 23 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 210 times in 117 Documents Cited by ▼ Year ▼ Elliptic curves with large rank over function fields. Zbl 1109.11314Ulmer, Douglas 36 2002 Elliptic curves over function fields. Zbl 1323.11037Ulmer, Douglas 22 2011 \(L\)-functions with large analytic rank and abelian varieties with large algebraic rank over function fields. Zbl 1110.11019Ulmer, Douglas 15 2007 \(p\)-descent in characteristic \(p\). Zbl 0742.14028Ulmer, Douglas L. 10 1991 Curves of genus ten on K3 surfaces. Zbl 0810.14012Cukierman, Fernando; Ulmer, Douglas 10 1993 Geometric non-vanishing. Zbl 1105.11017Ulmer, Douglas 10 2005 On universal elliptic curves over Igusa curves. Zbl 0705.14024Ulmer, D. L. 9 1990 Explicit points on the Legendre curve. Zbl 1297.11055Ulmer, Douglas 9 2014 On Mordell-Weil groups of Jacobians over function fields. Zbl 1318.14025Ulmer, Douglas 9 2013 Elliptic curves and analogies between number fields and function fields. Zbl 1062.11033Ulmer, Douglas 8 2004 Explicit points on the Legendre curve. II. Zbl 1312.14065Conceição, Ricardo P.; Hall, Chris; Ulmer, Douglas 8 2014 L-functions of universal elliptic curves over Igusa curves. Zbl 0731.14013Ulmer, Douglas L. 6 1990 Curves and Jacobians over function fields. Zbl 1384.11077Ulmer, Douglas 5 2014 Conductors of \(\ell\)-adic representations. Zbl 1383.11076Ulmer, Douglas 5 2016 Arithmetic of abelian varieties in Artin-Schreier extensions. Zbl 1410.11061Pries, Rachel; Ulmer, Douglas 4 2016 Explicit points on the Legendre curve. III. Zbl 1325.11057Ulmer, Douglas 4 2014 Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields. Zbl 1127.14021Ulmer, Douglas 4 2007 On the Brauer-Siegel ratio for abelian varieties over function fields. Zbl 1482.11083Ulmer, Douglas 4 2019 On balanced subgroups of the multiplicative group. Zbl 1332.11089Pomerance, Carl; Ulmer, Douglas 4 2013 On the Fourier coefficients of modular forms. Zbl 0827.11024Ulmer, Douglas L. 3 1995 On the Fourier coefficients of modular forms. II. Zbl 0856.11022Ulmer, Douglas L. 3 1996 Slopes of modular forms. Zbl 0853.11037Ulmer, Douglas L. 3 1994 Rational curves on elliptic surfaces. Zbl 1357.14051Ulmer, Douglas 3 2017 On the arithmetic of a family of twisted constant elliptic curves. Zbl 1458.11093Griffon, Richard; Ulmer, Douglas 3 2020 Bounding tangencies of sections on elliptic surfaces. Zbl 1477.14058Ulmer, Douglas; Urzúa, Giancarlo 2 2021 On \(BT_1\) group schemes and Fermat curves. Zbl 1471.11200Pries, Rachel; Ulmer, Douglas 2 2021 Unboundedness of the number of rational points on curves over function fields. Zbl 1276.11107Conceição, Ricardo; Ulmer, Douglas; Voloch, José Felipe 2 2012 Ranks of Jacobians in towers of function fields. Zbl 1256.14024Ulmer, Douglas; Zarhin, Yuri G. 2 2010 A construction of local points on elliptic curves over modular curves. Zbl 0858.11029Ulmer, Douglas L. 1 1995 Slopes of modular forms and congruences. Zbl 0834.11024Ulmer, Douglas L. 1 1996 On the number of rational points on special families of curves over function fields. Zbl 1411.11062Ulmer, Douglas; Voloch, José Felipe 1 2017 Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces. Zbl 1492.14067Ulmer, Douglas; Urzúa, Giancarlo 1 2022 Low-dimensional factors of superelliptic Jacobians. Zbl 1341.14011Occhipinti, Thomas; Ulmer, Douglas 1 2015 Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces. Zbl 1492.14067Ulmer, Douglas; Urzúa, Giancarlo 1 2022 Bounding tangencies of sections on elliptic surfaces. Zbl 1477.14058Ulmer, Douglas; Urzúa, Giancarlo 2 2021 On \(BT_1\) group schemes and Fermat curves. Zbl 1471.11200Pries, Rachel; Ulmer, Douglas 2 2021 On the arithmetic of a family of twisted constant elliptic curves. Zbl 1458.11093Griffon, Richard; Ulmer, Douglas 3 2020 On the Brauer-Siegel ratio for abelian varieties over function fields. Zbl 1482.11083Ulmer, Douglas 4 2019 Rational curves on elliptic surfaces. Zbl 1357.14051Ulmer, Douglas 3 2017 On the number of rational points on special families of curves over function fields. Zbl 1411.11062Ulmer, Douglas; Voloch, José Felipe 1 2017 Conductors of \(\ell\)-adic representations. Zbl 1383.11076Ulmer, Douglas 5 2016 Arithmetic of abelian varieties in Artin-Schreier extensions. Zbl 1410.11061Pries, Rachel; Ulmer, Douglas 4 2016 Low-dimensional factors of superelliptic Jacobians. Zbl 1341.14011Occhipinti, Thomas; Ulmer, Douglas 1 2015 Explicit points on the Legendre curve. Zbl 1297.11055Ulmer, Douglas 9 2014 Explicit points on the Legendre curve. II. Zbl 1312.14065Conceição, Ricardo P.; Hall, Chris; Ulmer, Douglas 8 2014 Curves and Jacobians over function fields. Zbl 1384.11077Ulmer, Douglas 5 2014 Explicit points on the Legendre curve. III. Zbl 1325.11057Ulmer, Douglas 4 2014 On Mordell-Weil groups of Jacobians over function fields. Zbl 1318.14025Ulmer, Douglas 9 2013 On balanced subgroups of the multiplicative group. Zbl 1332.11089Pomerance, Carl; Ulmer, Douglas 4 2013 Unboundedness of the number of rational points on curves over function fields. Zbl 1276.11107Conceição, Ricardo; Ulmer, Douglas; Voloch, José Felipe 2 2012 Elliptic curves over function fields. Zbl 1323.11037Ulmer, Douglas 22 2011 Ranks of Jacobians in towers of function fields. Zbl 1256.14024Ulmer, Douglas; Zarhin, Yuri G. 2 2010 \(L\)-functions with large analytic rank and abelian varieties with large algebraic rank over function fields. Zbl 1110.11019Ulmer, Douglas 15 2007 Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields. Zbl 1127.14021Ulmer, Douglas 4 2007 Geometric non-vanishing. Zbl 1105.11017Ulmer, Douglas 10 2005 Elliptic curves and analogies between number fields and function fields. Zbl 1062.11033Ulmer, Douglas 8 2004 Elliptic curves with large rank over function fields. Zbl 1109.11314Ulmer, Douglas 36 2002 On the Fourier coefficients of modular forms. II. Zbl 0856.11022Ulmer, Douglas L. 3 1996 Slopes of modular forms and congruences. Zbl 0834.11024Ulmer, Douglas L. 1 1996 On the Fourier coefficients of modular forms. Zbl 0827.11024Ulmer, Douglas L. 3 1995 A construction of local points on elliptic curves over modular curves. Zbl 0858.11029Ulmer, Douglas L. 1 1995 Slopes of modular forms. Zbl 0853.11037Ulmer, Douglas L. 3 1994 Curves of genus ten on K3 surfaces. Zbl 0810.14012Cukierman, Fernando; Ulmer, Douglas 10 1993 \(p\)-descent in characteristic \(p\). Zbl 0742.14028Ulmer, Douglas L. 10 1991 On universal elliptic curves over Igusa curves. Zbl 0705.14024Ulmer, D. L. 9 1990 L-functions of universal elliptic curves over Igusa curves. Zbl 0731.14013Ulmer, Douglas L. 6 1990 all cited Publications top 5 cited Publications all top 5 Cited by 142 Authors 19 Ulmer, Douglas L. 5 Griffon, Richard 5 Pries, Rachel J. 4 Ciliberto, Ciro 4 Longhi, Ignazio 3 Bandini, Andrea 3 Dedieu, Thomas 2 Achter, Jeffrey D. 2 Berger, Lisa 2 Corvaja, Pietro 2 Gillibert, Jean 2 Gvirtz, Damián 2 Hall, Chris 2 Krishnamoorthy, Raju 2 Levin, Aaron 2 Occhipinti, Thomas 2 Park, Jennifer 2 Salami, Sajad 2 Trihan, Fabien 2 Vigni, Stefano 2 Zannier, Umberto M. 1 Aikawa, Yusuke 1 Álvarez Vázquez, Arturo 1 Aoki, Miho 1 Badr, Eslam E. 1 Bars Cortina, Francesc 1 Benzo, Luca 1 Bombieri, Enrico 1 Buzzard, Kevin 1 Cais, Bryden 1 Campagna, Francesco 1 Cassou-Noguès, Philippe 1 Česnavičius, Kęstutis 1 Chen, Yenmei J. 1 Chinburg, Ted 1 Conceição, Ricardo P. 1 Creutz, Brendan 1 Daniels, Harris B. 1 Davis, Christopher 1 de Wit, Guus 1 Demeio, Julian Lawrence 1 Dieulefait, Luis Victor 1 Dokchitser, Tim 1 Doris, Christopher 1 Dragović, Vladimir 1 Dummigan, Neil 1 Edixhoven, Bas 1 Engberg, Zebediah 1 Erez, Boas 1 Faltings, Gerd 1 Farkas, Gavril 1 Farmer, David W. 1 Farwa, Shabieh 1 Flamini, Flaminio 1 Gonek, Steven M. 1 Gong, Cheng 1 Gontsov, Renat R. 1 Goodwillie, Hannah 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Greither, Cornelius 1 Hindry, Marc 1 Hirano, Yuichi 1 Hiranouchi, Toshiro 1 Howe, Everett W. 1 Hughes, C. P. 1 Imai, Naoki 1 Jordan, Bruce W. 1 Kedlaya, Kiran Sridhara 1 Keller, Timo 1 Khare, Chandrashekhar 1 Kiming, Ian 1 Kollár, János 1 Koshelev, Dmitriĭ Igorevich 1 Kowalski, Emmanuel 1 Koyama, Shin-ya 1 Kuan, Yen-Liang 1 Kulikov, Viktor Stepanovich 1 Lai, King Fai 1 Lee, Jung-Jo 1 Lelli-Chiesa, Margherita 1 Leterrier, Gauthier 1 Li, Wanlin 1 Liedtke, Christian 1 Liu, Qing 1 Lopez, Angelo Felice 1 Lorenzini, Dino J. 1 Lorscheid, Oliver 1 Loughran, Daniel 1 Masser, David William 1 Matsuno, Kazuo 1 McDonald, Robert J. S. 1 Meisner, Patrick 1 Melistas, Mentzelos 1 Miranda, Rick 1 Moehlmann, G. 1 Moonen, Ben 1 Moree, Pieter 1 Murty, Maruti Ram 1 Nakahara, Masahiro 1 Occhipinti, Tommy ...and 42 more Authors all top 5 Cited in 52 Serials 21 Journal of Number Theory 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Journal de Théorie des Nombres de Bordeaux 5 International Journal of Number Theory 5 Algebra & Number Theory 3 Compositio Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 2 Israel Journal of Mathematics 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Journal of Algebraic Geometry 2 The New York Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 European Journal of Mathematics 2 Research in Number Theory 2 Bollettino dell’Unione Matematica Italiana 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Acta Mathematica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Physica D 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Transformation Groups 1 LMS Journal of Computation and Mathematics 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Cryptography and Communications all top 5 Cited in 12 Fields 88 Number theory (11-XX) 79 Algebraic geometry (14-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.