Benjamin Nill

662 total citations
30 papers, 160 citations indexed

About

Benjamin Nill is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Algebra and Number Theory. According to data from OpenAlex, Benjamin Nill has authored 30 papers receiving a total of 160 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Geometry and Topology, 22 papers in Discrete Mathematics and Combinatorics and 7 papers in Algebra and Number Theory. Recurrent topics in Benjamin Nill's work include Advanced Combinatorial Mathematics (21 papers), Algebraic Geometry and Number Theory (17 papers) and Commutative Algebra and Its Applications (6 papers). Benjamin Nill is often cited by papers focused on Advanced Combinatorial Mathematics (21 papers), Algebraic Geometry and Number Theory (17 papers) and Commutative Algebra and Its Applications (6 papers). Benjamin Nill collaborates with scholars based in Germany, United States and Sweden. Benjamin Nill's co-authors include Maximilian Kreuzer, Günter M. Ziegler, Christian Haase, Christian Haase, Sam Payne, Francisco Santos, Jan Schepers, Alexander Kasprzyk, Carla D. Savage and Takayuki Hibi and has published in prestigious journals such as Advances in Mathematics, Mathematics of Operations Research and Mathematische Annalen.

In The Last Decade

Benjamin Nill

25 papers receiving 131 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Benjamin Nill Germany	7	113	88	43	32	32	30	160
Doowon Koh South Korea	8	66 0.6×	177 2.0×	67 1.6×	31 1.0×	34 1.1×	37	225
Hiro‐o Tokunaga Japan	10	204 1.8×	83 0.9×	49 1.1×	38 1.2×	15 0.5×	35	226
Alina Vdovina United Kingdom	8	120 1.1×	63 0.7×	20 0.5×	40 1.3×	14 0.4×	37	159
Enrique Artal Bartolo Spain	8	188 1.7×	104 1.2×	56 1.3×	33 1.0×	10 0.3×	45	215
Masahiko Yoshinaga Japan	10	176 1.6×	211 2.4×	96 2.2×	53 1.7×	15 0.5×	38	274
Frank H. Lutz Germany	6	67 0.6×	100 1.1×	27 0.6×	98 3.1×	9 0.3×	15	155
Sandra Di Rocco Sweden	9	129 1.1×	35 0.4×	53 1.2×	85 2.7×	19 0.6×	28	184
Lê Anh Vinh Vietnam	7	63 0.6×	155 1.8×	54 1.3×	32 1.0×	12 0.4×	46	191
Juanjo Rué Spain	7	53 0.5×	84 1.0×	23 0.5×	65 2.0×	6 0.2×	41	148
Michael Cuntz Germany	8	107 0.9×	89 1.0×	101 2.3×	22 0.7×	7 0.2×	30	165

Countries citing papers authored by Benjamin Nill

Since Specialization

Citations

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

Fields of papers citing papers by Benjamin Nill

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Benjamin Nill

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

Kretschmer, A., et al.. (2023). Thin Polytopes: Lattice Polytopes With Vanishing Local h*-Polynomial. International Mathematics Research Notices. 2024(7). 5619–5657.

Kasprzyk, Alexander, et al.. (2022). On the maximum dual volume of a canonical Fano polytope. Forum of Mathematics Sigma. 10. 1 indexed citations

Averkov, Gennadiy, et al.. (2021). Generalized flatness constants, spanning lattice polytopes, and the Gromov width. manuscripta mathematica. 170(1-2). 147–165.

Nill, Benjamin, et al.. (2020). Gorenstein polytopes with trinomial $$h^*$$-polynomials. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 62(3). 667–685.

Hibi, Takayuki, et al.. (2018). Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications. Oberwolfach Reports. 14(3). 2659–2701. 2 indexed citations

Rocco, Sandra Di, Christian Haase, & Benjamin Nill. (2018). A note on discrete mixed volume and Hodge–Deligne numbers. Advances in Applied Mathematics. 104. 1–13. 2 indexed citations

Nill, Benjamin, et al.. (2017). Ehrhart Theory of Spanning Lattice Polytopes. International Mathematics Research Notices. 2018(19). 5947–5973. 8 indexed citations

Nill, Benjamin, et al.. (2015). The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes. European Journal of Combinatorics. 50. 159–179. 2 indexed citations

Nill, Benjamin, et al.. (2015). On smooth Gorenstein polytopes. Tohoku Mathematical Journal. 67(4).

10.

Nill, Benjamin, et al.. (2011). Examples of Kähler–Einstein toric Fano manifolds associated to non-symmetric reflexive polytopes. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 52(2). 297–304. 6 indexed citations

11.

Haase, Christian, et al.. (2009). On permutation polytopes. Advances in Mathematics. 222(2). 431–452. 5 indexed citations

12.

Nill, Benjamin, et al.. (2009). Stanley's conjecture, cover depth and extremal simplicial complexes. Le Matematiche. 63(2). 213–228. 1 indexed citations

13.

Altmann, Klaus, et al.. (2009). Flow polytopes and the graph of reflexive polytopes. Discrete Mathematics. 309(16). 4992–4999. 1 indexed citations

14.

Haase, Christian, Benjamin Nill, & Sam Payne. (2009). Cayley decompositions of lattice polytopes and upper bounds for h*-polynomials. Journal für die reine und angewandte Mathematik (Crelles Journal). 2009(637). 9 indexed citations

15.

Beck, Matthias, et al.. (2008). Let me tell you my favorite lattice-point problem …. Contemporary mathematics - American Mathematical Society. 179–187. 4 indexed citations

16.

Kreuzer, Maximilian & Benjamin Nill. (2008). Classification of toric Fano 5-folds. Advances in Geometry. 9(1). 85–97. 16 indexed citations

17.

Haase, Christian, et al.. (2008). Lattice Points in Minkowski Sums. The Electronic Journal of Combinatorics. 15(1). 6 indexed citations

18.

Nill, Benjamin, et al.. (2008). A boundedness result for toric log Del Pezzo surfaces. Archiv der Mathematik. 91(6). 526–535. 1 indexed citations

19.

Haase, Christian & Benjamin Nill. (2007). Lattices generated by skeletons of reflexive polytopes. Journal of Combinatorial Theory Series A. 115(2). 340–344. 2 indexed citations

20.

Nill, Benjamin. (2005). Gorenstein toric Fano varieties. manuscripta mathematica. 116(2). 183–210. 31 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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