Heather A. Dye

1.4k total citations
25 papers, 707 citations indexed

About

Heather A. Dye is a scholar working on Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Heather A. Dye has authored 25 papers receiving a total of 707 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Mathematical Physics, 12 papers in Geometry and Topology and 7 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Heather A. Dye's work include Geometric and Algebraic Topology (12 papers), Homotopy and Cohomology in Algebraic Topology (8 papers) and Advanced Combinatorial Mathematics (7 papers). Heather A. Dye is often cited by papers focused on Geometric and Algebraic Topology (12 papers), Homotopy and Cohomology in Algebraic Topology (8 papers) and Advanced Combinatorial Mathematics (7 papers). Heather A. Dye collaborates with scholars based in United States. Heather A. Dye's co-authors include Louis H. Kauffman, Bernard Russo and Ralph S. Phillips and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and American Journal of Mathematics.

In The Last Decade

Heather A. Dye

24 papers receiving 575 citations

Peers

Heather A. Dye

MP

GT

ANT

CTM

DMC

Noriko Yui Canada

Frederick M. Goodman United States

Atle Selberg United States

Anton A. Klyachko Russia

Narutaka Ozawa Japan

Alain Guichardet France

Ruy Exel Brazil

Alex Gamburd United States

Thomas Schick Germany

Vladimir Turaev France

Noriko Yui Canada

Heather A. Dye

304 ×0.6

MP

326 ×1.0

GT

153 ×0.6

ANT

71 ×0.4

CTM

78 ×0.6

DMC

Citations per year, relative to Heather A. Dye Heather A. Dye (= 1×) peers Noriko Yui

Countries citing papers authored by Heather A. Dye

Since Specialization

Citations

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

Fields of papers citing papers by Heather A. Dye

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Heather A. Dye. 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 Heather A. Dye. The network helps show where Heather A. Dye may publish in the future.

Co-authorship network of co-authors of Heather A. Dye

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

Dye, Heather A.. (2018). An Invitation to Knot Theory. 2 indexed citations

2.

Dye, Heather A.. (2017). Cut points: An invariant of virtual links. Journal of Knot Theory and Its Ramifications. 26(9). 1743006–1743006. 3 indexed citations

3.

Dye, Heather A.. (2016). An Invitation to Knot Theory: Virtual and Classical. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations

4.

Dye, Heather A., et al.. (2014). The three loop isotopy and framed isotopy invariants of virtual knots. Topology and its Applications. 173. 107–134. 3 indexed citations

5.

Dye, Heather A., et al.. (2014). Promoting REU participation from students in underrepresented groups. Involve a Journal of Mathematics. 7(3). 403–411. 5 indexed citations

6.

Dye, Heather A.. (2012). SMOOTHED INVARIANTS. Journal of Knot Theory and Its Ramifications. 21(13). 1240003–1240003. 2 indexed citations

7.

Dye, Heather A. & Louis H. Kauffman. (2011). ANYONIC TOPOLOGICAL QUANTUM COMPUTATION AND THE VIRTUAL BRAID GROUP. Journal of Knot Theory and Its Ramifications. 20(1). 91–102. 2 indexed citations

8.

Dye, Heather A. & Louis H. Kauffman. (2010). VIRTUAL HOMOTOPY. Journal of Knot Theory and Its Ramifications. 19(7). 935–960. 6 indexed citations

9.

Dye, Heather A., et al.. (2009). How Are You Doing? Assessing Effectiveness in Teaching Mathematics. PRIMUS. 19(2). 174–193. 5 indexed citations

10.

Dye, Heather A. & Louis H. Kauffman. (2009). VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL. Journal of Knot Theory and Its Ramifications. 18(10). 1335–1357. 51 indexed citations

11.

Dye, Heather A.. (2005). Virtual knots undetected by 1- and 2-strand bracket polynomials. Topology and its Applications. 153(1). 141–160. 7 indexed citations

12.

Dye, Heather A. & Louis H. Kauffman. (2005). Minimal surface representations of virtual knots and links. Algebraic & Geometric Topology. 5(2). 509–535. 45 indexed citations

13.

Dye, Heather A. & Louis H. Kauffman. (2005). VIRTUAL KNOT DIAGRAMS AND THE WITTEN–RESHETIKHIN–TURAEV INVARIANT. Journal of Knot Theory and Its Ramifications. 14(8). 1045–1075. 9 indexed citations

14.

Dye, Heather A.. (2003). Detection and characterization of virtual knot diagrams. Figshare. 2 indexed citations

15.

Russo, Bernard & Heather A. Dye. (1966). A note on unitary operators in C∗-algebras. Duke Mathematical Journal. 33(2). 105 indexed citations

16.

Dye, Heather A.. (1965). On the ergodic mixing theorem. Transactions of the American Mathematical Society. 118. 123–123. 23 indexed citations

17.

Dye, Heather A. & Ralph S. Phillips. (1956). Groups Of Positive Operators. Canadian Journal of Mathematics. 8. 462–486. 4 indexed citations

18.

Dye, Heather A.. (1955). On the Geometry of Projections in Certain Operator Algebras. Annals of Mathematics. 61(1). 73–73. 64 indexed citations

19.

Dye, Heather A.. (1953). The unitary structure in finite rings of operators. Duke Mathematical Journal. 20(1). 17 indexed citations

20.

Dye, Heather A.. (1952). The Radon-Nikodým theorem for finite rings of operators. Transactions of the American Mathematical Society. 72(2). 243–280. 41 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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