Claus Scheiderer

1.5k total citations
60 papers, 670 citations indexed

About

Claus Scheiderer is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, Claus Scheiderer has authored 60 papers receiving a total of 670 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Geometry and Topology, 26 papers in Computational Theory and Mathematics and 19 papers in Algebra and Number Theory. Recurrent topics in Claus Scheiderer's work include Algebraic Geometry and Number Theory (23 papers), Polynomial and algebraic computation (17 papers) and Advanced Topics in Algebra (12 papers). Claus Scheiderer is often cited by papers focused on Algebraic Geometry and Number Theory (23 papers), Polynomial and algebraic computation (17 papers) and Advanced Topics in Algebra (12 papers). Claus Scheiderer collaborates with scholars based in Germany, United States and France. Claus Scheiderer's co-authors include Manfred Knebusch, Mihai Putinar, Jean-Louis Colliot-Thélène, Yuval Z. Flicker, R. Sujatha, Maria Charina, Joachim Stöckler, Salma Kuhlmann, Pierre Lochak and José F. Fernando and has published in prestigious journals such as Lecture notes in mathematics, Mathematical Programming and Transactions of the American Mathematical Society.

In The Last Decade

Claus Scheiderer

56 papers receiving 582 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Claus Scheiderer Germany 14 379 335 189 189 133 60 670
Victor Vinnikov Israel 14 236 0.6× 279 0.8× 265 1.4× 213 1.1× 102 0.8× 55 723
Luca Chiantini Italy 15 373 1.0× 231 0.7× 107 0.6× 174 0.9× 38 0.3× 66 695
Murray Marshall Canada 15 457 1.2× 260 0.8× 210 1.1× 334 1.8× 104 0.8× 59 761
Bit-Shun Tam Taiwan 16 337 0.9× 542 1.6× 74 0.4× 161 0.9× 93 0.7× 61 707
Jeffrey D. Vaaler United States 15 418 1.1× 162 0.5× 370 2.0× 469 2.5× 134 1.0× 52 996
Masahiro Shiota Japan 13 334 0.9× 226 0.7× 278 1.5× 134 0.7× 114 0.9× 52 645
Tin-Yau Tam United States 12 170 0.4× 376 1.1× 118 0.6× 147 0.8× 76 0.6× 100 572
Nam‐Kiu Tsing United States 19 186 0.5× 635 1.9× 187 1.0× 428 2.3× 124 0.9× 50 892
Pierre D. Milman Canada 17 720 1.9× 330 1.0× 471 2.5× 226 1.2× 63 0.5× 54 1.1k
Larry Guth United States 15 242 0.6× 140 0.4× 391 2.1× 101 0.5× 90 0.7× 41 805

Countries citing papers authored by Claus Scheiderer

Since Specialization
Citations

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

Fields of papers citing papers by Claus Scheiderer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Claus Scheiderer

This figure shows the co-authorship network connecting the top 25 collaborators of Claus Scheiderer. A scholar is included among the top collaborators of Claus Scheiderer 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 Claus Scheiderer. Claus Scheiderer 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.
Averkov, Gennadiy & Claus Scheiderer. (2024). Convex hulls of monomial curves, and a sparse positivstellensatz. Mathematical Programming. 209(1-2). 113–131.
2.
Scheiderer, Claus. (2024). A Course in Real Algebraic Geometry. Graduate texts in mathematics. 1 indexed citations
3.
Klep, Igor, et al.. (2022). Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem. Mathematische Annalen. 387(3-4). 1403–1433. 2 indexed citations
4.
Scheiderer, Claus. (2016). Semidefinitely representable convex sets. arXiv (Cornell University). 1 indexed citations
5.
Charina, Maria, Mihai Putinar, Claus Scheiderer, & Joachim Stöckler. (2014). An algebraic perspective on multivariate tight wavelet frames. II. Applied and Computational Harmonic Analysis. 39(2). 185–213. 6 indexed citations
6.
Scheiderer, Claus, et al.. (2012). The ring of bounded polynomials on a semi-algebraic set. Transactions of the American Mathematical Society. 364(9). 4663–4682. 4 indexed citations
7.
Scheiderer, Claus, et al.. (2012). Pure states, nonnegative polynomials and sums of squares. Commentarii Mathematici Helvetici. 87(1). 113–140. 5 indexed citations
8.
Scheiderer, Claus. (2011). Convex hulls of curves of genus one. Advances in Mathematics. 228(5). 2606–2622. 6 indexed citations
9.
Kuhlmann, Salma, et al.. (2008). Sums of squares and moment problems in equivariant situations. Transactions of the American Mathematical Society. 361(2). 735–765. 15 indexed citations
10.
Coste, Michel, Claus Scheiderer, & Niels Schwartz. (2007). Reelle Algebraische Geometrie. Oberwolfach Reports. 4(1). 753–820. 8 indexed citations
11.
Scheiderer, Claus. (2005). Distinguished representations of non-negative polynomials. Journal of Algebra. 289(2). 558–573. 30 indexed citations
12.
Scheiderer, Claus. (2005). Non-existence of degree bounds for weighted sums of squares representations. Journal of Complexity. 21(6). 823–844. 23 indexed citations
13.
Powers, Victoria, Bruce Reznick, Claus Scheiderer, & Frank Sottile. (2004). A new approach to Hilbert's theorem on ternary quartics. Comptes Rendus Mathématique. 339(9). 617–620. 11 indexed citations
14.
Lochak, Pierre, Leila Schneps, & Claus Scheiderer. (1997). A cohomological interpretation of the Grothendieck-Teichmüller group. Inventiones mathematicae. 127(3). 571–600. 13 indexed citations
15.
Colliot-Thélène, Jean-Louis & Claus Scheiderer. (1996). Zero-cycles and cohomology on real algebraic varieties. Topology. 35(2). 533–559. 15 indexed citations
16.
Scheiderer, Claus. (1996). Classification of hermitian forms and semisimple groups over fields of virtual cohomological dimension one. manuscripta mathematica. 89(1). 373–394. 3 indexed citations
17.
Scheiderer, Claus. (1992). Some remarks on orderings under finite field extensions. Pacific Journal of Mathematics. 152(1). 175–185. 13 indexed citations
18.
Scheiderer, Claus. (1989). Quotients of semi-algebraic spaces. Mathematische Zeitschrift. 201(2). 249–271. 4 indexed citations
19.
Scheiderer, Claus. (1987). Intersections of maximal subalgebras in Lie algebras. Journal of Algebra. 105(1). 268–270. 3 indexed citations
20.
Scheiderer, Claus. (1985). Topologisch linksengelsche Elemente. manuscripta mathematica. 49(3). 243–266.

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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