Frank Sottile

2.9k total citations
94 papers, 1.1k citations indexed

About

Frank Sottile is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Frank Sottile has authored 94 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Geometry and Topology, 47 papers in Computational Theory and Mathematics and 46 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Frank Sottile's work include Advanced Combinatorial Mathematics (46 papers), Polynomial and algebraic computation (43 papers) and Advanced Numerical Analysis Techniques (24 papers). Frank Sottile is often cited by papers focused on Advanced Combinatorial Mathematics (46 papers), Polynomial and algebraic computation (43 papers) and Advanced Numerical Analysis Techniques (24 papers). Frank Sottile collaborates with scholars based in United States, Canada and France. Frank Sottile's co-authors include Marcelo Aguiar, Nantel Bergeron, Bernd Sturmfels, Jonathan D. Hauenstein, Frédéric Bihan, Joachim Rosenthal, Thorsten Theobald, Cristian Lenart, Anton Leykin and Birkett Huber and has published in prestigious journals such as Mathematics of Computation, ACM Transactions on Graphics and Transactions of the American Mathematical Society.

In The Last Decade

Frank Sottile

87 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Frank Sottile United States	19	672	548	468	380	281	94	1.1k
Hal Schenck United States	14	551 0.8×	233 0.4×	290 0.6×	324 0.9×	200 0.7×	42	821
Askold Khovanskiĭ Canada	15	754 1.1×	213 0.4×	404 0.9×	300 0.8×	285 1.0×	85	1.1k
Anthony V. Geramita Canada	26	984 1.5×	226 0.4×	867 1.9×	1.0k 2.7×	109 0.4×	84	1.6k
Michel Las Vergnas France	14	381 0.6×	549 1.0×	726 1.6×	164 0.4×	140 0.5×	53	1.2k
Sergeĭ Konyagin Russia	18	325 0.5×	500 0.9×	261 0.6×	544 1.4×	291 1.0×	139	1.4k
Colin Rourke United Kingdom	13	992 1.5×	376 0.7×	365 0.8×	91 0.2×	771 2.7×	27	1.3k
Giorgio Ottaviani Italy	20	505 0.8×	82 0.1×	380 0.8×	189 0.5×	249 0.9×	65	1.1k
Eugeniĭ Shustin Israel	16	553 0.8×	66 0.1×	452 1.0×	201 0.5×	99 0.4×	76	873
Egbert Brieskorn Germany	13	1.3k 1.9×	251 0.5×	291 0.6×	271 0.7×	684 2.4×	25	1.5k
Roy Meshulam Israel	18	285 0.4×	380 0.7×	575 1.2×	190 0.5×	198 0.7×	59	878

Countries citing papers authored by Frank Sottile

Since Specialization

Citations

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

Fields of papers citing papers by Frank Sottile

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frank Sottile

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

Sottile, Frank, et al.. (2025). Galois groups in enumerative geometry and applications. Expositiones Mathematicae. 43(6). 125731–125731.

Faust, Matthew D. & Frank Sottile. (2024). Critical points of discrete periodic operators. Journal of Spectral Theory. 14(1). 1–35. 1 indexed citations

Puente, Luis David García, et al.. (2012). The Secant Conjecture in the Real Schubert Calculus. Experimental Mathematics. 21(3). 252–265. 7 indexed citations

Sottile, Frank. (2011). Real Solutions to Equations from Geometry. 30 indexed citations

Bihan, Frédéric & Frank Sottile. (2009). Betti number bounds for fewnomial hypersurfaces via stratified Morse theory. Proceedings of the American Mathematical Society. 137(9). 2825–2833. 2 indexed citations

Sottile, Frank. (2009). General isotropic flags are general (for Grassmannian Schubert calculus). Journal of Algebraic Geometry. 19(2). 367–370. 4 indexed citations

Emiris, Ioannis Z., Frank Sottile, & Thorsten Theobald. (2009). Nonlinear Computational Geometry. CERN Document Server (European Organization for Nuclear Research). 22 indexed citations

Sottile, Frank, et al.. (2007). The recursive nature of cominuscule Schubert calculus. Advances in Mathematics. 217(5). 1962–2004. 14 indexed citations

Sottile, Frank, et al.. (2005). Lower bounds for real solutions to sparse polynomial systems. Advances in Mathematics. 204(1). 116–151. 17 indexed citations

10.

Beck, Matthias & Frank Sottile. (2005). Irrational proofs for three theorems of Stanley. European Journal of Combinatorics. 28(1). 403–409. 15 indexed citations

11.

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

12.

Aguiar, Marcelo & Frank Sottile. (2004). Structure of the Malvenuto–Reutenauer Hopf algebra of permutations. Advances in Mathematics. 191(2). 225–275. 68 indexed citations

13.

Sottile, Frank & Thorsten Theobald. (2002). Real lines tangent to 2n−2 quadrics in R^n. 2 indexed citations

14.

Bergeron, Nantel, et al.. (2002). Shifted quasi-symmetric functions and the Hopf algebra of peak functions. Discrete Mathematics. 246(1-3). 57–66. 18 indexed citations

15.

Roby, Tom, et al.. (2001). Complementary Algorithms for Tableaux. Journal of Combinatorial Theory Series A. 96(1). 127–161. 1 indexed citations

16.

Sottile, Frank & Bernd Sturmfels. (2001). A sagbi basis for the quantum Grassmannian. Journal of Pure and Applied Algebra. 158(2-3). 347–366. 13 indexed citations

17.

Sottile, Frank. (2000). Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro. Experimental Mathematics. 9(2). 161–182. 30 indexed citations

18.

Huber, Birkett, Frank Sottile, & Bernd Sturmfels. (1998). Numerical Schubert Calculus. Journal of Symbolic Computation. 26(6). 767–788. 37 indexed citations

19.

Sottile, Frank. (1997). Real enumerative geometry and effective algebraic equivalence. Journal of Pure and Applied Algebra. 117-118. 601–615. 9 indexed citations

20.

Benkart, Georgia, et al.. (1996). Tableau Switching: Algorithms and Applications. Journal of Combinatorial Theory Series A. 76(1). 11–43. 34 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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