Gerald E. Welters

419 total citations
13 papers, 193 citations indexed

About

Gerald E. Welters is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Gerald E. Welters has authored 13 papers receiving a total of 193 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Geometry and Topology, 9 papers in Mathematical Physics and 3 papers in Computational Theory and Mathematics. Recurrent topics in Gerald E. Welters's work include Algebraic Geometry and Number Theory (9 papers), Advanced Algebra and Geometry (9 papers) and Polynomial and algebraic computation (3 papers). Gerald E. Welters is often cited by papers focused on Algebraic Geometry and Number Theory (9 papers), Advanced Algebra and Geometry (9 papers) and Polynomial and algebraic computation (3 papers). Gerald E. Welters collaborates with scholars based in Spain. Gerald E. Welters's co-authors include and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Acta Mathematica.

In The Last Decade

Gerald E. Welters

10 papers receiving 134 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Gerald E. Welters Spain 9 176 99 40 33 20 13 193
Angela Gibney United States 8 161 0.9× 93 0.9× 19 0.5× 34 1.0× 36 1.8× 19 170
Montserrat Teixidor i Bigas United States 9 290 1.6× 221 2.2× 26 0.7× 49 1.5× 37 1.9× 46 318
Gianluca Occhetta Italy 9 208 1.2× 84 0.8× 34 0.8× 28 0.8× 18 0.9× 37 213
Eduardo Esteves Brazil 11 245 1.4× 131 1.3× 42 1.1× 54 1.6× 37 1.9× 31 259
D. S. Nagaraj India 8 180 1.0× 148 1.5× 15 0.4× 13 0.4× 19 0.9× 30 184
Arend Bayer United Kingdom 7 241 1.4× 183 1.8× 25 0.6× 16 0.5× 11 0.6× 12 250
Takeo Nishinou Japan 4 129 0.7× 41 0.4× 31 0.8× 57 1.7× 27 1.4× 8 141
D. Arinkin United States 7 121 0.7× 109 1.1× 51 1.3× 11 0.3× 26 1.3× 12 152
Donghoon Hyeon United States 7 167 0.9× 94 0.9× 8 0.2× 28 0.8× 20 1.0× 16 167
Emanuele Macrì Italy 12 389 2.2× 308 3.1× 47 1.2× 22 0.7× 23 1.1× 21 398

Countries citing papers authored by Gerald E. Welters

Since Specialization
Citations

This map shows the geographic impact of Gerald E. Welters's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gerald E. Welters with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerald E. Welters more than expected).

Fields of papers citing papers by Gerald E. Welters

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerald E. Welters. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gerald E. Welters. The network helps show where Gerald E. Welters may publish in the future.

No nodes

All Works

13 of 13 papers shown
1.
Welters, Gerald E.. (2003). The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties. Duke Mathematical Journal. 117(3).
2.
Welters, Gerald E.. (1999). Abelian varieties and the class invariant homomorphism. Journal of the Mathematical Society of Japan. 51(2).
3.
Welters, Gerald E.. (1997). Selmer Groups and Picard Groups. Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 46(1). 33–56. 1 indexed citations
4.
Welters, Gerald E.. (1995). On the étale cohomology of torsors for abelian schemes. Tohoku Mathematical Journal. 47(3).
5.
Welters, Gerald E.. (1987). Curves of twice the minimal class on principally polarized abelian varieties. Indagationes Mathematicae (Proceedings). 90(1). 87–109. 13 indexed citations
6.
Welters, Gerald E.. (1987). Recovering the Curve Data from a General Prym Variety. American Journal of Mathematics. 109(1). 165–165. 11 indexed citations
7.
Welters, Gerald E.. (1986). The surface C−C on Jacobi varieties and 2nd order theta functions. Acta Mathematica. 157(0). 1–22. 14 indexed citations
8.
Welters, Gerald E.. (1985). A theorem of Gieseker-Petri type for Prym varieties. Annales Scientifiques de l École Normale Supérieure. 18(4). 671–683. 35 indexed citations
9.
Welters, Gerald E.. (1984). A Criterion for Jacobi Varieties. Annals of Mathematics. 120(3). 497–497. 22 indexed citations
10.
Welters, Gerald E.. (1983). Polarized abelian varieties and the heat equations. Compositio Mathematica. 49(2). 173–194. 37 indexed citations
11.
Welters, Gerald E.. (1983). On flexes of the Kummer variety (Note on a theorem of R.C. Gunning). Indagationes Mathematicae (Proceedings). 86(4). 501–520. 9 indexed citations
12.
Welters, Gerald E.. (1983). A characterization of non-hyperelliptic Jacobi varieties. Inventiones mathematicae. 74(3). 437–440. 8 indexed citations
13.
Welters, Gerald E.. (1981). Abel-Jacobi isogenies for certain types of fano threefolds. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 141. 1–139. 43 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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