Alan Adolphson

1.0k total citations
48 papers, 543 citations indexed

About

Alan Adolphson is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Alan Adolphson has authored 48 papers receiving a total of 543 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Geometry and Topology, 27 papers in Algebra and Number Theory and 24 papers in Mathematical Physics. Recurrent topics in Alan Adolphson's work include Algebraic Geometry and Number Theory (19 papers), advanced mathematical theories (13 papers) and Analytic Number Theory Research (12 papers). Alan Adolphson is often cited by papers focused on Algebraic Geometry and Number Theory (19 papers), advanced mathematical theories (13 papers) and Analytic Number Theory Research (12 papers). Alan Adolphson collaborates with scholars based in United States and Australia. Alan Adolphson's co-authors include Steven Sperber, J. Brian Conrey, Amit Ghosh, Bernard Dwork and Marvin Tretkoff and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Alan Adolphson

43 papers receiving 462 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alan Adolphson United States	12	401	324	220	134	132	48	543
Steven Sperber United States	12	389 1.0×	310 1.0×	210 1.0×	91 0.7×	156 1.2×	47	499
Hans Peter Schlickewei Germany	14	383 1.0×	272 0.8×	218 1.0×	179 1.3×	97 0.7×	44	604
Antonio Campillo Spain	14	488 1.2×	271 0.8×	169 0.8×	252 1.9×	57 0.4×	67	611
Marc Hindry France	7	476 1.2×	170 0.5×	212 1.0×	152 1.1×	74 0.6×	13	534
Artūras Dubickas Lithuania	12	248 0.6×	332 1.0×	249 1.1×	248 1.9×	113 0.9×	171	643
Yuri Bilu France	13	441 1.1×	225 0.7×	212 1.0×	152 1.1×	62 0.5×	44	532
M. Ram Murty Canada	12	334 0.8×	292 0.9×	131 0.6×	50 0.4×	99 0.8×	41	483
Armand Brumer United States	13	568 1.4×	313 1.0×	357 1.6×	95 0.7×	50 0.4×	25	720
Pietro Corvaja Italy	13	419 1.0×	238 0.7×	174 0.8×	126 0.9×	51 0.4×	57	532
Andrzej Białynicki-Birula Poland	13	343 0.9×	141 0.4×	241 1.1×	154 1.1×	71 0.5×	38	541

Countries citing papers authored by Alan Adolphson

Since Specialization

Citations

This map shows the geographic impact of Alan Adolphson'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 Alan Adolphson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alan Adolphson more than expected).

Fields of papers citing papers by Alan Adolphson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alan Adolphson. 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 Alan Adolphson. The network helps show where Alan Adolphson may publish in the future.

Co-authorship network of co-authors of Alan Adolphson

This figure shows the co-authorship network connecting the top 25 collaborators of Alan Adolphson. A scholar is included among the top collaborators of Alan Adolphson based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alan Adolphson. Alan Adolphson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Adolphson, Alan & Steven Sperber. (2022). Hyperkloosterman sums revisited. Journal of Number Theory. 243. 328–351.

Adolphson, Alan & Steven Sperber. (2017). A generalization of the Hasse–Witt matrix of a hypersurface. Finite Fields and Their Applications. 47. 203–221. 2 indexed citations

Adolphson, Alan & Steven Sperber. (2016). A-hypergeometric series and the Hasse–Witt matrix of a hypersurface. Finite Fields and Their Applications. 41. 55–63. 4 indexed citations

Adolphson, Alan & Steven Sperber. (2014). Hasse invariants and mod p solutions of A-hypergeometric systems. Journal of Number Theory. 142. 183–210. 3 indexed citations

Adolphson, Alan & Steven Sperber. (2011). 𝐴-hypergeometric systems that come from geometry. Proceedings of the American Mathematical Society. 140(6). 2033–2042. 4 indexed citations

Adolphson, Alan & Steven Sperber. (2008). On the zeta function of a projective complete intersection. Illinois Journal of Mathematics. 52(2). 2 indexed citations

Adolphson, Alan & Steven Sperber. (2006). On the Jacobian ring of a complete intersection. Journal of Algebra. 304(2). 1193–1227. 3 indexed citations

Adolphson, Alan & Steven Sperber. (2000). Dwork cohomology, de Rham cohomology, and hypergeometric functions. American Journal of Mathematics. 122(2). 319–348. 3 indexed citations

Adolphson, Alan. (1999). Higher solutions of hypergeometric systems and Dwork cohomology. Rendiconti del Seminario Matematico della Università di Padova. 101. 179–190. 5 indexed citations

10.

Adolphson, Alan & Steven Sperber. (1996). Differential modules defined by systems of equations. Clinical Optometry. 95. 37–57. 1 indexed citations

11.

Adolphson, Alan & Steven Sperber. (1996). On the zeta function of a complete intersection. Annales Scientifiques de l École Normale Supérieure. 29(3). 287–328. 10 indexed citations

12.

Sperber, Steven & Alan Adolphson. (1993). Twisted exponential sums and Newton polyhedra.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1993(443). 151–178. 15 indexed citations

13.

Adolphson, Alan, Steven Sperber, & Marvin Tretkoff. (1992). 𝑝-Adic Methods in Number Theory and Algebraic Geometry. Contemporary mathematics - American Mathematical Society. 7 indexed citations

14.

Adolphson, Alan. (1989). On the distribution of angles of Kloosterman sums.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1989(395). 214–220. 19 indexed citations

15.

Adolphson, Alan & Steven Sperber. (1988). On the degree of the $L$-function associated with an exponential sum. Compositio Mathematica. 68(2). 125–159. 13 indexed citations

16.

Adolphson, Alan, et al.. (1987). Analytic Number Theory and Diophantine Problems. CERN Document Server (European Organization for Nuclear Research). 27 indexed citations

17.

Adolphson, Alan & Steven Sperber. (1987). Exponential sums and Newton polyhedra. Bulletin of the American Mathematical Society. 16(2). 282–286. 14 indexed citations

18.

Adolphson, Alan & Steven Sperber. (1984). Character sums in finite fields. Compositio Mathematica. 52(3). 325–354. 8 indexed citations

19.

Adolphson, Alan. (1983). Uniqueness of Γ_{𝑝} in the Gross-Koblitz formula for Gauss sums. Transactions of the American Mathematical Society. 278(1). 57–63. 1 indexed citations

20.

Adolphson, Alan. (1976). On the mod p eigenvalues of Hecke operators. Duke Mathematical Journal. 43(1). 1 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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