Patrick Morton

1.0k total citations
46 papers, 536 citations indexed

About

Patrick Morton is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Patrick Morton has authored 46 papers receiving a total of 536 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Geometry and Topology, 23 papers in Mathematical Physics and 11 papers in Computational Theory and Mathematics. Recurrent topics in Patrick Morton's work include Algebraic Geometry and Number Theory (15 papers), Mathematical Dynamics and Fractals (14 papers) and Advanced Differential Equations and Dynamical Systems (9 papers). Patrick Morton is often cited by papers focused on Algebraic Geometry and Number Theory (15 papers), Mathematical Dynamics and Fractals (14 papers) and Advanced Differential Equations and Dynamical Systems (9 papers). Patrick Morton collaborates with scholars based in United States, United Kingdom and France. Patrick Morton's co-authors include Joseph H. Silverman, John Brillhart, Pratiksha Patel, Ping Xu, Megan N. McClean, Benjamin L. Oakes, Andrew Bremner, A.R. Calderbank, Franco Vivaldi and D. J. Lewis and has published in prestigious journals such as Mathematics of Computation, American Mathematical Monthly and Theoretical Computer Science.

In The Last Decade

Patrick Morton

42 papers receiving 481 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Patrick Morton United States	15	279	240	133	129	103	46	536
R. Balasubramanian India	14	182 0.7×	127 0.5×	232 1.7×	77 0.6×	108 1.0×	88	690
Murray R. Bremner Canada	12	254 0.9×	123 0.5×	266 2.0×	43 0.3×	40 0.4×	53	370
Gerhard Rosenberger Germany	13	445 1.6×	211 0.9×	82 0.6×	180 1.4×	69 0.7×	124	660
Ákos Pintér Hungary	12	206 0.7×	123 0.5×	324 2.4×	56 0.4×	30 0.3×	64	529
Eliyahu Rips Israel	12	419 1.5×	280 1.2×	40 0.3×	199 1.5×	42 0.4×	26	511
Irvin Roy Hentzel United States	13	259 0.9×	58 0.2×	384 2.9×	163 1.3×	37 0.4×	95	518
Daniel E. Cohen United Kingdom	12	415 1.5×	219 0.9×	112 0.8×	230 1.8×	59 0.6×	28	596
Eric Babson United States	14	181 0.6×	245 1.0×	157 1.2×	356 2.8×	71 0.7×	28	692
Richard N. Ball United States	13	375 1.3×	195 0.8×	384 2.9×	279 2.2×	34 0.3×	72	614
Pentti Haukkanen Finland	12	129 0.5×	64 0.3×	188 1.4×	209 1.6×	34 0.3×	85	487

Countries citing papers authored by Patrick Morton

Since Specialization

Citations

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

Fields of papers citing papers by Patrick Morton

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Morton

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Morton. A scholar is included among the top collaborators of Patrick Morton 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 Patrick Morton. Patrick Morton 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

Morton, Patrick. (2021). The Hasse invariant of the Tate normal form E5 and the class number of Q(−5l). Journal of Number Theory. 227. 94–143. 1 indexed citations

Morton, Patrick. (2020). On the Hasse invariants of the Tate normal forms E5 and E7. Journal of Number Theory. 218. 234–271. 2 indexed citations

Morton, Patrick. (2019). Product formulas for the 5-division points on the Tate normal form and the Rogers–Ramanujan continued fraction. Journal of Number Theory. 200. 380–396. 1 indexed citations

Oakes, Benjamin L., et al.. (2014). Real-time optogenetic control of intracellular protein concentration in microbial cell cultures. Integrative Biology. 6(3). 366–366. 59 indexed citations

Morton, Patrick. (2010). Legendre polynomials and complex multiplication, I. Journal of Number Theory. 130(8). 1718–1731. 10 indexed citations

Morton, Patrick. (2006). Explicit identities for invariants of elliptic curves. Journal of Number Theory. 120(2). 234–271. 15 indexed citations

Brillhart, John & Patrick Morton. (2004). Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial. Journal of Number Theory. 106(1). 79–111. 27 indexed citations

Morton, Patrick. (1998). Galois Groups of Periodic Points. Journal of Algebra. 201(2). 401–428. 5 indexed citations

Morton, Patrick. (1997). Periods of Maps on Irreducible Polynomials over Finite Fields. Finite Fields and Their Applications. 3(1). 11–24. 5 indexed citations

10.

Morton, Patrick. (1996). On certain algebraic curves related to polynomial maps. Compositio Mathematica. 103(3). 319–350. 18 indexed citations

11.

Morton, Patrick. (1994). Characterizing Cyclic Cubic Extensions by Automorphism Polynomials. Journal of Number Theory. 49(2). 183–208. 15 indexed citations

12.

Morton, Patrick & Joseph H. Silverman. (1994). . International Mathematics Research Notices. 1994(2). 97–97. 58 indexed citations

13.

Allouche, Jean‐Paul, Patrick Morton, & Jeffrey Shallit. (1992). Pattern spectra, substring enumeration, and automatic sequences. Theoretical Computer Science. 94(2). 161–174. 3 indexed citations

14.

Morton, Patrick, et al.. (1991). Digit patterns and transcendental numbers. Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics. 51(2). 216–236. 8 indexed citations

15.

Morton, Patrick. (1990). Connections between binary patterns and paperfolding. Journal de Théorie des Nombres de Bordeaux. 2(1). 1–12. 4 indexed citations

16.

Morton, Patrick, et al.. (1989). Paper Folding, Digit Patterns and Groups of Arithmetic Fractals. Proceedings of the London Mathematical Society. s3-59(2). 253–293. 13 indexed citations

17.

Bremner, Andrew J., et al.. (1983). Two-weight ternary codes and the equation y2 = 4 × 3a + 13. Journal of Number Theory. 16(2). 212–234. 10 indexed citations

18.

Lewis, D. J. & Patrick Morton. (1982). Quotients of polynomials and a theorem of Pisot and Cantor. Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. 28(3). 813–822. 1 indexed citations

19.

Morton, Patrick. (1980). On the elgenvectors of Schur's matrix. Journal of Number Theory. 12(1). 122–127. 13 indexed citations

20.

Brillhart, John & Patrick Morton. (1978). Über summen von Rudin-Shapiroschen koeffizienten. Illinois Journal of Mathematics. 22(1). 14 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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