Tom Carroll

418 total citations
30 papers, 206 citations indexed

About

Tom Carroll is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Tom Carroll has authored 30 papers receiving a total of 206 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Applied Mathematics, 13 papers in Geometry and Topology and 10 papers in Mathematical Physics. Recurrent topics in Tom Carroll's work include Analytic and geometric function theory (10 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Nonlinear Partial Differential Equations (6 papers). Tom Carroll is often cited by papers focused on Analytic and geometric function theory (10 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Nonlinear Partial Differential Equations (6 papers). Tom Carroll collaborates with scholars based in Ireland, United States and United Kingdom. Tom Carroll's co-authors include Rodrigo Bañuelos, M. van den Berg, Joaquim Ortega‐Cerdà, Stephen J. Gardiner, W. K. Hayman, Kieran F. Mulchrone, Elizabeth A. Housworth, Kenneth W Rohde, Irene H. Yoon and Craig Rieger and has published in prestigious journals such as Journal of Functional Analysis, Bulletin of the London Mathematical Society and Proceedings of the American Mathematical Society.

In The Last Decade

Tom Carroll

27 papers receiving 169 citations

Peers

Tom Carroll

AM

CTM

MP

GT

CSE

Nikos Katzourakis United Kingdom

Bartłomiej Siudeja United States

Nikolaï Nikolski France

Richard Penney United States

M. Goldstein United States

Virginia De Cicco Italy

Danuta Przeworska‐Rolewicz Poland

Allan P. Donsig United States

H. S. Bear United States

Mikhail V. Korobkov Russia

Nikos Katzourakis United Kingdom

Tom Carroll

132 ×1.1

AM

87 ×1.0

CTM

62 ×0.7

MP

30 ×0.7

GT

20 ×1.5

CSE

Citations per year, relative to Tom Carroll Tom Carroll (= 1×) peers Nikos Katzourakis

Countries citing papers authored by Tom Carroll

Since Specialization

Citations

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

Fields of papers citing papers by Tom Carroll

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Tom Carroll

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

Carroll, Tom. (2024). Geometric Function Theory.

2.

Starke, Michael, Namwon Kim, Tom Carroll, et al.. (2023). Improving Resiliency for Electric Vehicle Charging. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 1–5. 1 indexed citations

3.

Carroll, Tom, et al.. (2018). Equidistribution and $\beta$-ensembles. Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona). 2 indexed citations

4.

Carroll, Tom, et al.. (2017). Numbas as an engagement tool for first-year Business Studies students. MSOR Connections. 15(2). 42–42. 7 indexed citations

5.

Carroll, Tom, et al.. (2012). Two isoperimetric inequalities for the Sobolev constant. Zeitschrift für angewandte Mathematik und Physik. 63(5). 855–863. 2 indexed citations

6.

Carroll, Tom, et al.. (2011). On Lundh’s percolation diffusion. Stochastic Processes and their Applications. 122(4). 1988–1997. 2 indexed citations

7.

Bañuelos, Rodrigo & Tom Carroll. (2009). STRETCHING CONVEX DOMAINS AND THE HYPERBOLIC METRIC. The Quarterly Journal of Mathematics. 61(3). 265–273. 2 indexed citations

8.

Berg, M. van den & Tom Carroll. (2009). Hardy inequality and L ^p estimates for the torsion function. Bulletin of the London Mathematical Society. 41(6). 980–986. 24 indexed citations

9.

Carroll, Tom & Stephen J. Gardiner. (2008). Lipschitz continuity of the Green function in Denjoy domains. Arkiv för matematik. 46(2). 271–283. 4 indexed citations

10.

Carroll, Tom. (2007). An Extension of Jenkin’s Condition for Extremal Domains Associated with the Univalent Bloch-Landau Constant. Computational Methods and Function Theory. 8(1). 159–165. 2 indexed citations

11.

Carroll, Tom, Kathleen Fulton, & Irene H. Yoon. (2005). Teachers Learning in Networked Communities. Phase I Evaluation Report.. 1 indexed citations

12.

Bañuelos, Rodrigo & Tom Carroll. (2004). Sharp integrability for Brownian motion in parabola-shaped regions. Journal of Functional Analysis. 218(1). 219–253. 7 indexed citations

13.

Carroll, Tom, et al.. (2001). On the bieberbach and koebe constants of a simply connected domain. Complex Variables Theory and Application An International Journal. 46(1). 31–49.

14.

Carroll, Tom. (2001). Old and New on the Bass Note, the Torsion Function and the Hyperbolic Metric. Irish Mathematical Society Bulletin. 47. 41–66. 1 indexed citations

15.

Bañuelos, Rodrigo & Tom Carroll. (2000). Extremal problems for conditioned brownian motion and the hyperbolic metric. Annales de l’institut Fourier. 50(5). 1507–1532. 7 indexed citations

16.

Carroll, Tom, et al.. (2000). Build Your Own Combat Robot. 15 indexed citations

17.

Bañuelos, Rodrigo, Tom Carroll, & Elizabeth A. Housworth. (1998). Inradius and integral means for Green’s functions and conformal mappings. Proceedings of the American Mathematical Society. 126(2). 577–585. 3 indexed citations

18.

Carroll, Tom, et al.. (1997). Conformal Mappings of Close-to-Convex Domains. Journal of the London Mathematical Society. 55(3). 489–498. 3 indexed citations

19.

Bañuelos, Rodrigo & Tom Carroll. (1996). Addendum to: “Brownian motion and the fundamental frequency of a drum”. Duke Mathematical Journal. 82(1). 3 indexed citations

20.

Carroll, Tom. (1988). A Classical Proof of Burdzy's Theorem on the Angular Derivative. Journal of the London Mathematical Society. s2-38(3). 423–441. 11 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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