Holger Brenner

685 total citations
30 papers, 209 citations indexed

About

Holger Brenner is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Holger Brenner has authored 30 papers receiving a total of 209 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Geometry and Topology, 25 papers in Algebra and Number Theory and 9 papers in Mathematical Physics. Recurrent topics in Holger Brenner's work include Algebraic Geometry and Number Theory (27 papers), Commutative Algebra and Its Applications (21 papers) and Algebraic structures and combinatorial models (14 papers). Holger Brenner is often cited by papers focused on Algebraic Geometry and Number Theory (27 papers), Commutative Algebra and Its Applications (21 papers) and Algebraic structures and combinatorial models (14 papers). Holger Brenner collaborates with scholars based in Germany, United Kingdom and United States. Holger Brenner's co-authors include Stefan Schröer, Paul Monsky, Mordechai Katzman and Claudia Miller and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Holger Brenner

28 papers receiving 187 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Holger Brenner Germany	8	188	146	73	54	41	30	209
Jan O. Kleppe Norway	7	198 1.1×	172 1.2×	37 0.5×	76 1.4×	20 0.5×	23	213
Takehiko Yasuda Japan	8	177 0.9×	71 0.5×	104 1.4×	28 0.5×	24 0.6×	26	184
Hans Schoutens United States	10	193 1.0×	164 1.1×	60 0.8×	71 1.3×	11 0.3×	37	232
Ashish K. Srivastava United States	10	178 0.9×	233 1.6×	24 0.3×	35 0.6×	12 0.3×	26	253
Jesper Funch Thomsen Denmark	8	172 0.9×	45 0.3×	135 1.8×	17 0.3×	55 1.3×	19	179
Julianna Tymoczko United States	8	112 0.6×	51 0.3×	106 1.5×	35 0.6×	126 3.1×	18	179
Hoger Ghahramani Iran	9	195 1.0×	218 1.5×	106 1.5×	43 0.8×	8 0.2×	48	223
Israel Vainsencher Brazil	6	139 0.7×	42 0.3×	61 0.8×	39 0.7×	22 0.5×	33	148
Dev Sinha United States	7	167 0.9×	81 0.6×	172 2.4×	12 0.2×	23 0.6×	16	199
Stein Arild Strømme Norway	7	169 0.9×	45 0.3×	104 1.4×	20 0.4×	23 0.6×	10	175

Countries citing papers authored by Holger Brenner

Since Specialization

Citations

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

Fields of papers citing papers by Holger Brenner

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Holger Brenner

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

Brenner, Holger, et al.. (2019). Differential symmetric signature in high dimension. CINECA IRIS Institutial Research Information System (University of Genoa). 1 indexed citations

Brenner, Holger, et al.. (2017). The symmetric signature. CINECA IRIS Institutial Research Information System (University of Genoa). 2 indexed citations

Brenner, Holger, et al.. (2016). GENERALIZED HILBERT–KUNZ FUNCTION IN GRADED DIMENSION 2. Nagoya Mathematical Journal. 230. 1–17. 2 indexed citations

Brenner, Holger, et al.. (2012). Dagger closure in regular rings containing a field. Journal of Algebra. 370. 176–185. 1 indexed citations

Brenner, Holger, et al.. (2012). A direct limit for limit Hilbert–Kunz multiplicity for smooth projective curves. Journal of Algebra. 372. 488–504. 2 indexed citations

Brenner, Holger, et al.. (2012). An explicit example of Frobenius periodicity. Journal of Pure and Applied Algebra. 217(8). 1412–1420. 1 indexed citations

Brenner, Holger & Paul Monsky. (2010). Tight closure does not commute with localization. Annals of Mathematics. 171(1). 571–588. 13 indexed citations

Brenner, Holger. (2008). Looking out for stable syzygy bundles. Advances in Mathematics. 219(2). 401–427. 22 indexed citations

Brenner, Holger, et al.. (2008). A remark on Frobenius descent for vector bundles. The Michigan Mathematical Journal. 57(none). 2 indexed citations

10.

Brenner, Holger. (2007). The Hilbert–Kunz Function in Graded Dimension Two. Communications in Algebra. 35(10). 3199–3213. 4 indexed citations

11.

Brenner, Holger & Mordechai Katzman. (2005). On the arithmetic of tight closure. Journal of the American Mathematical Society. 19(3). 659–672. 3 indexed citations

12.

Brenner, Holger, et al.. (2005). Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz functions. manuscripta mathematica. 119(1). 17–36. 5 indexed citations

13.

Brenner, Holger. (2005). Computing the tight closure in dimension two. Mathematics of Computation. 74(251). 1495–1519. 6 indexed citations

14.

Brenner, Holger. (2005). A linear bound for Frobenius powers and an inclusion bound for tight closure. The Michigan Mathematical Journal. 53(3). 4 indexed citations

15.

Brenner, Holger. (2003). Lifting chains of prime ideals. Journal of Pure and Applied Algebra. 179(1-2). 1–5. 6 indexed citations

16.

Brenner, Holger. (2003). Tight closure and projective bundles. Journal of Algebra. 265(1). 45–78. 10 indexed citations

17.

Brenner, Holger. (2003). The Affine Class Group of a Normal Scheme. Communications in Algebra. 31(6). 2849–2867.

18.

Brenner, Holger. (2003). Slopes of vector bundles on projective curves and applications to tight closure problems. Transactions of the American Mathematical Society. 356(1). 371–392. 13 indexed citations

19.

Brenner, Holger & Stefan Schröer. (2003). Ample families, multihomogeneous spectra, and algebraization of formal schemes. Pacific Journal of Mathematics. 208(2). 209–230. 17 indexed citations

20.

Brenner, Holger. (2002). On Superheight Conditions for the Affineness of Open Subsets. Journal of Algebra. 247(1). 37–56. 4 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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