Hal Schenck

2.0k total citations · 1 hit paper
42 papers, 821 citations indexed

About

Hal Schenck is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Hal Schenck has authored 42 papers receiving a total of 821 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Geometry and Topology, 23 papers in Algebra and Number Theory and 19 papers in Computational Theory and Mathematics. Recurrent topics in Hal Schenck's work include Commutative Algebra and Its Applications (23 papers), Algebraic Geometry and Number Theory (20 papers) and Polynomial and algebraic computation (15 papers). Hal Schenck is often cited by papers focused on Commutative Algebra and Its Applications (23 papers), Algebraic Geometry and Number Theory (20 papers) and Polynomial and algebraic computation (15 papers). Hal Schenck collaborates with scholars based in United States, Sweden and Japan. Hal Schenck's co-authors include John B. Little, David A. Cox, Mike Stillman, Alexander I. Suciu, Alexandra Seceleanu, Mircea Mustaţă, Brian Harbourne, David Cox, Gregory G. Smith and Peter F. Stiller and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Hal Schenck

41 papers receiving 767 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Toric Varieties

2011 379 citations David A. Cox, John B. Little et al. Graduate studies in mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Hal Schenck United States	14	551	324	290	233	200	42	821
Askold Khovanskiĭ Canada	15	754 1.4×	300 0.9×	404 1.4×	213 0.9×	285 1.4×	85	1.1k
Frank Sottile United States	19	672 1.2×	380 1.2×	468 1.6×	548 2.4×	281 1.4×	94	1.1k
Alexandru Dimca France	16	1.1k 2.1×	397 1.2×	301 1.0×	342 1.5×	598 3.0×	118	1.3k
Edoardo Ballico Italy	14	960 1.7×	302 0.9×	376 1.3×	106 0.5×	437 2.2×	423	1.2k
Egbert Brieskorn Germany	13	1.3k 2.3×	271 0.8×	291 1.0×	251 1.1×	684 3.4×	25	1.5k
Igor Dolgachev United States	21	1.4k 2.6×	325 1.0×	256 0.9×	280 1.2×	859 4.3×	58	1.6k
Tetsuji Shioda Japan	18	1.1k 2.0×	271 0.8×	224 0.8×	153 0.7×	630 3.1×	61	1.2k
Colin Rourke United Kingdom	13	992 1.8×	91 0.3×	365 1.3×	376 1.6×	771 3.9×	27	1.3k
Brian Sanderson United Kingdom	14	844 1.5×	167 0.5×	312 1.1×	249 1.1×	708 3.5×	29	1.2k
Fabrizio Catanese Germany	19	1.1k 1.9×	168 0.5×	148 0.5×	131 0.6×	604 3.0×	83	1.2k

Countries citing papers authored by Hal Schenck

Since Specialization

Citations

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

Fields of papers citing papers by Hal Schenck

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hal Schenck

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Schenck, Hal, et al.. (2023). Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four. Journal of Symbolic Computation. 121. 102257–102257. 2 indexed citations

2.

Busé, Laurent, et al.. (2021). The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in P n . Advances in Mathematics. 392. 108035–108035. 1 indexed citations

3.

Schenck, Hal, et al.. (2020). A new bound for smooth spline spaces. 4(4). 359–367. 3 indexed citations

4.

Cohen, Daniel C. & Hal Schenck. (2015). Chen ranks and resonance. Advances in Mathematics. 285. 1–27. 6 indexed citations

5.

Schenck, Hal, et al.. (2015). Tensor product surfaces and linear syzygies. Proceedings of the American Mathematical Society. 144(1). 65–72. 5 indexed citations

6.

Schenck, Hal. (2014). Splines on the Alfeld split of a simplex and type A root systems. Journal of Approximation Theory. 182. 1–6. 5 indexed citations

7.

Schenck, Hal, et al.. (2014). Geometry of Wachspress surfaces. Algebra & Number Theory. 8(2). 369–396. 1 indexed citations

8.

Schenck, Hal, et al.. (2013). Syzygies and singularities of tensor product surfaces of bidegree (2,1). Mathematics of Computation. 83(287). 1337–1372. 6 indexed citations

9.

Schenck, Hal & Mike Stillman. (2012). High rank linear syzygies on low rank quadrics. American Journal of Mathematics. 134(2). 561–579. 2 indexed citations

10.

Cox, David A., John B. Little, & Hal Schenck. (2011). Toric Varieties. Graduate studies in mathematics. 379 indexed citations breakdown →

11.

Schenck, Hal & Alexandra Seceleanu. (2010). The weak Lefschetz property and powers of linear forms in 𝕂[𝕩,𝕪,𝕫]. Proceedings of the American Mathematical Society. 138(7). 2335–2339. 9 indexed citations

12.

Schenck, Hal, et al.. (2009). Freeness of conic-line arrangements in $ℙ^2$. Commentarii Mathematici Helvetici. 84(2). 235–258. 22 indexed citations

13.

Schenck, Hal, et al.. (2008). Efficient computation of resonance varieties via Grassmannians. Journal of Pure and Applied Algebra. 213(8). 1606–1611. 1 indexed citations

14.

Schenck, Hal, et al.. (2007). Betti numbers and degree bounds for some linked zero-schemes. Journal of Pure and Applied Algebra. 210(2). 481–491. 6 indexed citations

15.

Schenck, Hal & Alexander I. Suciu. (2005). Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence. Transactions of the American Mathematical Society. 358(5). 2269–2289. 14 indexed citations

16.

Little, John B., et al.. (2004). Cayley–Bacharach and evaluation codes on complete intersections. Journal of Pure and Applied Algebra. 196(1). 91–99. 31 indexed citations

17.

Schenck, Hal. (2004). Lattice polygons and Green’s theorem. Proceedings of the American Mathematical Society. 132(12). 3509–3512. 9 indexed citations

18.

Cox, David & Hal Schenck. (2002). Local complete intersections in ℙ² and Koszul syzygies. Proceedings of the American Mathematical Society. 131(7). 2007–2014. 11 indexed citations

19.

Mustaţă, Mircea & Hal Schenck. (2001). The Module of Logarithmic p-Forms of a Locally Free Arrangement. Journal of Algebra. 241(2). 699–719. 24 indexed citations

20.

Schenck, Hal. (2000). A Rank Two Vector Bundle Associated to a Three Arrangement, and its Chern Polynomial. Advances in Mathematics. 149(2). 214–229. 10 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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