Burt Totaro

2.3k total citations
52 papers, 791 citations indexed

About

Burt Totaro is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Burt Totaro has authored 52 papers receiving a total of 791 indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Geometry and Topology, 32 papers in Mathematical Physics and 17 papers in Algebra and Number Theory. Recurrent topics in Burt Totaro's work include Algebraic Geometry and Number Theory (39 papers), Advanced Algebra and Geometry (19 papers) and Homotopy and Cohomology in Algebraic Topology (18 papers). Burt Totaro is often cited by papers focused on Algebraic Geometry and Number Theory (39 papers), Advanced Algebra and Geometry (19 papers) and Homotopy and Cohomology in Algebraic Topology (18 papers). Burt Totaro collaborates with scholars based in United States, United Kingdom and Portugal. Burt Totaro's co-authors include David Eisenbud, Bruno Klingler and Terence Tao and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Burt Totaro

49 papers receiving 684 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Burt Totaro United States 16 731 522 189 106 105 52 791
Caucher Birkar United Kingdom 10 793 1.1× 426 0.8× 123 0.7× 73 0.7× 159 1.5× 24 812
Eckart Viehweg Germany 17 1.1k 1.5× 662 1.3× 241 1.3× 158 1.5× 170 1.6× 45 1.2k
Hélène Esnault Germany 12 736 1.0× 510 1.0× 192 1.0× 97 0.9× 65 0.6× 69 797
Eberhard Freitag Germany 13 568 0.8× 586 1.1× 270 1.4× 116 1.1× 60 0.6× 55 730
Paolo Cascini United Kingdom 8 668 0.9× 342 0.7× 106 0.6× 54 0.5× 152 1.4× 23 682
V. B. Mehta India 12 772 1.1× 561 1.1× 190 1.0× 105 1.0× 61 0.6× 36 821
Ronnie Lee United States 14 564 0.8× 587 1.1× 137 0.7× 81 0.8× 129 1.2× 56 730
Yoichi Miyaoka Japan 15 843 1.2× 376 0.7× 97 0.5× 77 0.7× 277 2.6× 26 890
Christopher D. Hacon United States 18 1.4k 1.9× 782 1.5× 245 1.3× 90 0.8× 284 2.7× 57 1.4k
Kiyoshi Igusa United States 15 569 0.8× 348 0.7× 333 1.8× 85 0.8× 51 0.5× 60 617

Countries citing papers authored by Burt Totaro

Since Specialization
Citations

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

Fields of papers citing papers by Burt Totaro

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Burt Totaro

This figure shows the co-authorship network connecting the top 25 collaborators of Burt Totaro. A scholar is included among the top collaborators of Burt Totaro 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 Burt Totaro. Burt Totaro is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Totaro, Burt, et al.. (2024). Endomorphisms of varieties and Bott vanishing. Journal of Algebraic Geometry. 1 indexed citations
2.
Totaro, Burt, et al.. (2024). Log canonical pairs with conjecturally minimal volume. manuscripta mathematica. 175(3-4). 865–895.
3.
Totaro, Burt, et al.. (2023). Varieties of general type with doubly exponential asymptotics. 10(10). 288–309. 5 indexed citations
4.
Totaro, Burt. (2023). Divided powers in the Witt ring of symmetric bilinear forms. 8(2). 275–284.
5.
Tao, Terence, et al.. (2022). Optimal Sine and Sawtooth Inequalities. Journal of Fourier Analysis and Applications. 28(2). 1 indexed citations
6.
Totaro, Burt. (2015). Hypersurfaces that are not stably rational. Journal of the American Mathematical Society. 29(3). 883–891. 43 indexed citations
7.
Klingler, Bruno, et al.. (2013). Symmetric differentials and the fundamental group. Duke Mathematical Journal. 162(14). 11 indexed citations
8.
Totaro, Burt. (2009). Moving codimension-one subvarieties over finite fields. American Journal of Mathematics. 131(6). 1815–1833. 10 indexed citations
9.
10.
Totaro, Burt. (2003). NON-INJECTIVITY OF THE MAP FROM THE WITT GROUP OF A VARIETY TO THE WITT GROUP OF ITS FUNCTION FIELD. Journal of the Institute of Mathematics of Jussieu. 2(3). 483–493. 12 indexed citations
11.
Totaro, Burt. (2003). Curvature, diameter, and quotient manifolds. Mathematical Research Letters. 10(2). 191–203. 10 indexed citations
12.
Totaro, Burt. (2002). Cheeger Manifolds and the Classification of Biquotients. Journal of Differential Geometry. 61(3). 24 indexed citations
13.
Totaro, Burt. (2000). The topology of smooth divisors and the arithmetic of abelian varieties.. The Michigan Mathematical Journal. 48(1). 12 indexed citations
14.
Totaro, Burt. (1996). Cohomology of Semidirect Product Groups. Journal of Algebra. 182(2). 469–475. 2 indexed citations
15.
Totaro, Burt. (1996). Configuration spaces of algebraic varieties. Topology. 35(4). 1057–1067. 60 indexed citations
16.
Totaro, Burt. (1995). Homology Operations on a New Infinite Loop Space. Transactions of the American Mathematical Society. 347(1). 99–99. 1 indexed citations
17.
Totaro, Burt. (1995). Homology operations on a new infinite loop space. Transactions of the American Mathematical Society. 347(1). 99–110. 3 indexed citations
18.
Eisenbud, David, et al.. (1994). Initial Ideals, Veronese Subrings, and Rates of Algebras. Advances in Mathematics. 109(2). 168–187. 52 indexed citations
19.
Totaro, Burt. (1993). The total Chern class is not a map of multiplicative cohomology theories. Mathematische Zeitschrift. 212(1). 527–532. 2 indexed citations
20.
Totaro, Burt. (1991). AFFINE VARIETIES AND STEIN MANIFOLDS. International Journal of Mathematics. 2(5). 563–566. 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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