Arend Bayer

1.0k total citations
12 papers, 250 citations indexed

About

Arend Bayer is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Arend Bayer has authored 12 papers receiving a total of 250 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 8 papers in Mathematical Physics and 2 papers in Algebra and Number Theory. Recurrent topics in Arend Bayer's work include Algebraic Geometry and Number Theory (11 papers), Advanced Algebra and Geometry (7 papers) and Homotopy and Cohomology in Algebraic Topology (4 papers). Arend Bayer is often cited by papers focused on Algebraic Geometry and Number Theory (11 papers), Advanced Algebra and Geometry (7 papers) and Homotopy and Cohomology in Algebraic Topology (4 papers). Arend Bayer collaborates with scholars based in United Kingdom, United States and Germany. Arend Bayer's co-authors include Emanuele Macrì, Yukinobu Toda, Paolo Stellari, Yuri I. Manin, Brendan Hassett, Yuri Tschinkel, Chunyi Li, Perry Alexander, Aaron Bertram and Soheyla Feyzbakhsh and has published in prestigious journals such as Inventiones mathematicae, Journal of the American Mathematical Society and Annales Scientifiques de l École Normale Supérieure.

In The Last Decade

Arend Bayer

11 papers receiving 215 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Arend Bayer United Kingdom	7	241	183	25	19	16	12	250
Emanuele Macrì Italy	12	389 1.6×	308 1.7×	47 1.9×	25 1.3×	22 1.4×	21	398
Paolo Stellari Italy	12	366 1.5×	298 1.6×	36 1.4×	13 0.7×	23 1.4×	32	369
D. S. Nagaraj India	8	180 0.7×	148 0.8×	15 0.6×	10 0.5×	13 0.8×	30	184
賢治深谷	2	218 0.9×	173 0.9×	18 0.7×	29 1.5×	15 0.9×	2	229
Victor Przyjalkowski Russia	9	182 0.8×	123 0.7×	17 0.7×	11 0.6×	16 1.0×	39	211
Angela Gibney United States	8	161 0.7×	93 0.5×	19 0.8×	9 0.5×	34 2.1×	19	170
Sławomir Cynk Poland	9	155 0.6×	112 0.6×	13 0.5×	13 0.7×	12 0.8×	22	159
Alina Marian United States	8	165 0.7×	125 0.7×	13 0.5×	14 0.7×	11 0.7×	14	172
Dragos Oprea United States	9	210 0.9×	157 0.9×	15 0.6×	10 0.5×	23 1.4×	24	215
Andreas Höring France	10	205 0.9×	105 0.6×	15 0.6×	54 2.8×	12 0.8×	30	208

Countries citing papers authored by Arend Bayer

Since Specialization

Citations

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

Fields of papers citing papers by Arend Bayer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arend Bayer

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

All Works

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12 of 12 papers shown

Bayer, Arend, et al.. (2024). The desingularization of the theta divisor of a cubic threefold as a moduli space. Geometry & Topology. 28(1). 127–160. 5 indexed citations

Bayer, Arend & Perry Alexander. (2023). Kuznetsov’s Fano threefold conjecture via K3 categories and enhanced group actions. Journal für die reine und angewandte Mathematik (Crelles Journal). 2023(800). 107–153. 4 indexed citations

Bayer, Arend, et al.. (2023). Brill–Noether Theory of Hilbert Schemes of Points on Surfaces. International Mathematics Research Notices. 2024(10). 8403–8416. 1 indexed citations

Bayer, Arend, et al.. (2023). Stability conditions on Kuznetsov components. Annales Scientifiques de l École Normale Supérieure. 56(2). 517–570. 11 indexed citations

Bayer, Arend & Chunyi Li. (2017). Brill–Noether theory for curves on generic abelian surfaces. Pure and Applied Mathematics Quarterly. 13(1). 49–76. 6 indexed citations

Bayer, Arend, Alastair Craw, & Ziyu Zhang. (2016). Nef divisors for moduli spaces of complexes with compact support. Selecta Mathematica. 23(2). 1507–1561.

Bayer, Arend, Emanuele Macrì, & Paolo Stellari. (2016). The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds. Inventiones mathematicae. 206(3). 869–933. 53 indexed citations

Bayer, Arend, Brendan Hassett, & Yuri Tschinkel. (2015). Mori cones of holomorphic symplectic varieties of K3 type. Annales Scientifiques de l École Normale Supérieure. 48(4). 941–950. 15 indexed citations

Bayer, Arend & Emanuele Macrì. (2014). Projectivity and birational geometry of Bridgeland moduli spaces. Journal of the American Mathematical Society. 27(3). 707–752. 69 indexed citations

10.

Bayer, Arend, Aaron Bertram, Emanuele Macrì, & Yukinobu Toda. (2014). Bridgeland stability conditions on threefolds II: An application to Fujita’s conjecture. Journal of Algebraic Geometry. 23(4). 693–710. 6 indexed citations

11.

Bayer, Arend, Emanuele Macrì, & Yukinobu Toda. (2013). Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities. Journal of Algebraic Geometry. 23(1). 117–163. 66 indexed citations

12.

Bayer, Arend & Yuri I. Manin. (2004). Semi)simple exercises in quantum cohomology. Max Planck Institute for Plasma Physics. 143–173. 14 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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