Garret Sobczyk

2.5k total citations · 1 hit paper
25 papers, 1.1k citations indexed

About

Garret Sobczyk is a scholar working on Applied Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Garret Sobczyk has authored 25 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 13 papers in Geometry and Topology and 10 papers in Algebra and Number Theory. Recurrent topics in Garret Sobczyk's work include Algebraic and Geometric Analysis (15 papers), Mathematics and Applications (11 papers) and Advanced Topics in Algebra (9 papers). Garret Sobczyk is often cited by papers focused on Algebraic and Geometric Analysis (15 papers), Mathematics and Applications (11 papers) and Advanced Topics in Algebra (9 papers). Garret Sobczyk collaborates with scholars based in Mexico, Poland and United States. Garret Sobczyk's co-authors include David Hestenes, James S. Marsh, John Ryan, Thomas Branson, Pertti Lounesto, W. E. Baylis, J. M. Selig, Ian R. Porteous, Rafał Abłamowicz and José M. Pozo and has published in prestigious journals such as Physics Letters A, American Journal of Physics and American Mathematical Monthly.

In The Last Decade

Garret Sobczyk

23 papers receiving 971 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Clifford Algebra to Geometric Calculus

1984 514 citations David Hestenes, Garret Sobczyk profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Garret Sobczyk Mexico	10	712	262	208	148	146	25	1.1k
Chris Doran United Kingdom	18	598 0.8×	181 0.7×	311 1.5×	364 2.5×	100 0.7×	37	1.5k
Abraham A. Ungar United States	22	321 0.5×	1.1k 4.1×	212 1.0×	146 1.0×	89 0.6×	115	1.7k
Carolyn S. Gordon United States	18	605 0.8×	672 2.6×	215 1.0×	58 0.4×	44 0.3×	57	1.2k
Gerhard Schmeißer Germany	20	1.2k 1.7×	427 1.6×	116 0.6×	133 0.9×	90 0.6×	82	2.1k
Ricardo Estrada United States	16	419 0.6×	72 0.3×	130 0.6×	136 0.9×	41 0.3×	93	960
J. W. Bruce United Kingdom	20	684 1.0×	941 3.6×	177 0.9×	55 0.4×	236 1.6×	91	1.9k
L. Auslander United States	20	398 0.6×	426 1.6×	99 0.5×	61 0.4×	180 1.2×	55	1.2k
Loring W. Tu United States	11	310 0.4×	964 3.7×	351 1.7×	150 1.0×	73 0.5×	25	1.9k
William Beckner United States	17	1.3k 1.8×	203 0.8×	234 1.1×	283 1.9×	103 0.7×	32	1.9k
Scott A. Wolpert United States	23	600 0.8×	1.1k 4.0×	249 1.2×	63 0.4×	44 0.3×	46	1.7k

Countries citing papers authored by Garret Sobczyk

Since Specialization

Citations

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

Fields of papers citing papers by Garret Sobczyk

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Garret Sobczyk

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

1.

Sobczyk, Garret. (2024). Geometric Algebras of Light Cone Projective Graph Geometries. Advances in Applied Clifford Algebras. 34(1). 1 indexed citations

2.

Sobczyk, Garret. (2015). Geometry of spin 1/2 particles. Revista Mexicana de Física. 61(3). 211–223. 1 indexed citations

3.

Sobczyk, Garret. (2014). Vector Analysis of Spinors. 1 indexed citations

4.

Sobczyk, Garret. (2012). Unitary Geometric Algebra. Advances in Applied Clifford Algebras. 22(3). 827–836. 4 indexed citations

5.

Sobczyk, Garret. (2012). Supporting the Next Generation of "Stewards" in Mathematics Education. Notices of the American Mathematical Society. 59(2). 288–288. 1 indexed citations

6.

Sobczyk, Garret, et al.. (2010). Fundamental Theorem of Calculus. Advances in Applied Clifford Algebras. 21(1). 221–231. 6 indexed citations

7.

Sobczyk, Garret. (2007). Geometric matrix algebra. Linear Algebra and its Applications. 429(5-6). 1163–1173. 12 indexed citations

8.

Pozo, José M. & Garret Sobczyk. (2002). Geometric Algebra in Linear Algebra and Geometry. Acta Applicandae Mathematicae. 71(3). 207–244. 4 indexed citations

9.

Sobczyk, Garret, et al.. (2001). Geometric Algebra with Applications in Science and Engineering. Birkhäuser Boston eBooks. 58 indexed citations

10.

Sobczyk, Garret. (2001). The Missing Spectral Basis in Algebra and Number Theory. American Mathematical Monthly. 108(4). 336–346. 5 indexed citations

11.

Sobczyk, Garret. (2001). The Missing Spectral Basis in Algebra and Number Theory. American Mathematical Monthly. 108(4). 336–336. 2 indexed citations

12.

Sobczyk, Garret. (1997). The Generalized Spectral Decomposition of a Linear Operator. College Mathematics Journal. 28(1). 27–38. 9 indexed citations

13.

Sobczyk, Garret. (1997). The Generalized Spectral Decomposition of a Linear Operator. College Mathematics Journal. 28(1). 27–27. 5 indexed citations

14.

Sobczyk, Garret. (1996). Structure of factor algebras and clifford algebra. Linear Algebra and its Applications. 241-243. 803–810. 2 indexed citations

15.

Sobczyk, Garret. (1995). The Hyperbolic Number Plane. College Mathematics Journal. 26(4). 268–280. 105 indexed citations

16.

Sobczyk, Garret. (1993). Linear transformations in unitary geometric algebra. Foundations of Physics. 23(10). 1375–1385. 3 indexed citations

17.

Hestenes, David, Garret Sobczyk, & James S. Marsh. (1985). Clifford Algebra to Geometric Calculus. A Unified Language for Mathematics and Physics. American Journal of Physics. 53(5). 510–511. 230 indexed citations

18.

Sobczyk, Garret. (1981). Algebraic classification of important tensors in physics. Physics Letters A. 84(2). 49–52. 2 indexed citations

19.

Sobczyk, Garret. (1981). Spacetime vector analysis. Physics Letters A. 84(2). 45–48. 10 indexed citations

20.

Sobczyk, Garret. (1981). Space-time algebra approach to curvature. Journal of Mathematical Physics. 22(2). 333–342. 16 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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