Igor Klep

1.1k total citations
70 papers, 397 citations indexed

About

Igor Klep is a scholar working on Algebra and Number Theory, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Igor Klep has authored 70 papers receiving a total of 397 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Algebra and Number Theory, 32 papers in Computational Theory and Mathematics and 28 papers in Geometry and Topology. Recurrent topics in Igor Klep's work include Advanced Topics in Algebra (35 papers), Algebraic structures and combinatorial models (22 papers) and Matrix Theory and Algorithms (21 papers). Igor Klep is often cited by papers focused on Advanced Topics in Algebra (35 papers), Algebraic structures and combinatorial models (22 papers) and Matrix Theory and Algorithms (21 papers). Igor Klep collaborates with scholars based in Slovenia, United States and New Zealand. Igor Klep's co-authors include Markus Schweighofer, J. William Helton, Scott McCullough, Janez Povh, Victor Magron, Matej Brešar, Felix Huber, Kenneth J. Dykema, Victor Vinnikov and Thomas Unger and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Analysis and Applications and Mathematical Programming.

In The Last Decade

Igor Klep

60 papers receiving 379 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Igor Klep Slovenia	12	202	166	124	103	98	70	397
Sivaram K. Narayan United States	12	212 1.0×	108 0.7×	51 0.4×	144 1.4×	181 1.8×	42	411
Hiroshi Nakazato Japan	11	340 1.7×	117 0.7×	87 0.7×	110 1.1×	199 2.0×	92	425
Tanguy Rivoal France	11	80 0.4×	298 1.8×	122 1.0×	119 1.2×	167 1.7×	61	442
Peter D Dragnev United States	9	76 0.4×	26 0.2×	95 0.8×	41 0.4×	166 1.7×	40	317
S. K. Jain United States	12	220 1.1×	301 1.8×	37 0.3×	217 2.1×	23 0.2×	51	503
Douglas Farenick Canada	13	132 0.7×	147 0.9×	192 1.5×	60 0.6×	250 2.6×	34	411
Torsten Ehrhardt Germany	11	118 0.6×	79 0.5×	196 1.6×	36 0.3×	212 2.2×	48	361
Nebojša Č. Dinčić Serbia	7	262 1.3×	119 0.7×	46 0.4×	20 0.2×	74 0.8×	14	285
Huihui Zhu China	12	330 1.6×	196 1.2×	24 0.2×	16 0.2×	78 0.8×	50	369
D. E. Ferreyra Argentina	8	273 1.4×	67 0.4×	27 0.2×	27 0.3×	61 0.6×	27	290

Countries citing papers authored by Igor Klep

Since Specialization

Citations

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

Fields of papers citing papers by Igor Klep

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Igor Klep

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

Klep, Igor, et al.. (2025). Sums of Squares Certificates for Polynomial Moment Inequalities. Foundations of Computational Mathematics.

Helton, J. William, et al.. (2024). Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators. Quantum. 8. 1352–1352. 1 indexed citations

Klep, Igor, et al.. (2024). Certifying Optimality of Bell Inequality Violations: Noncommutative Polynomial Optimization through Semidefinite Programming and Local Optimization. SIAM Journal on Optimization. 34(2). 1341–1373. 1 indexed citations

Helton, J. William, et al.. (2023). Noncommutative Nullstellensätze and Perfect Games. Annales Henri Poincaré. 24(7). 2183–2239. 1 indexed citations

Klep, Igor, et al.. (2020). Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation. Transactions of the American Mathematical Society. 373(8). 5587–5625. 4 indexed citations

Klep, Igor, et al.. (2020). Multipartite Rational Functions. Documenta Mathematica. 25. 1285–1313. 1 indexed citations

Helton, J. William, et al.. (2019). Factorization of noncommutative polynomials and Nullstellens\"atze for the free algebra. arXiv (Cornell University). 2 indexed citations

Helton, J. William, et al.. (2018). Geometry of free loci and factorization of noncommutative polynomials. Advances in Mathematics. 331. 589–626. 8 indexed citations

Brešar, Matej, et al.. (2017). Skolem–Noether algebras. Journal of Algebra. 498. 294–314. 2 indexed citations

10.

Klep, Igor, et al.. (2017). Null- and Positivstellensätze for rationally resolvable ideals. Linear Algebra and its Applications. 527. 260–293. 2 indexed citations

11.

Dykema, Kenneth J. & Igor Klep. (2016). Instances of the Kaplansky–Lvov multilinear conjecture for polynomials of degree three. Linear Algebra and its Applications. 508. 272–288. 4 indexed citations

12.

Klep, Igor, et al.. (2016). Sweeping words and the length of a generic vector subspace of Mn(F). Journal of Combinatorial Theory Series A. 143. 56–65. 1 indexed citations

13.

Klep, Igor. (2015). Scheiderer, Claus (D-KNST-MS): Positivity and sums of squares: a guide to recent results. (English summary). - Emerging applications of algebraic geometry, 271-324, IMA Vol. Math. Appl., 149, Springer, New York, 2009. University of Maribor digital library (University of Maribor). 1 indexed citations

14.

Dykema, Ken, et al.. (2013). Addendum to “Connesʼ embedding conjecture and sums of hermitian squares” [Adv. Math. 217 (4) (2008) 1816–1837]. Advances in Mathematics. 252. 805–811. 3 indexed citations

15.

Helton, J. William, Igor Klep, & Scott McCullough. (2010). Analytic mappings between noncommutative pencil balls. Journal of Mathematical Analysis and Applications. 376(2). 407–428. 21 indexed citations

16.

Helton, J. William, Igor Klep, & Scott McCullough. (2010). Proper analytic free maps. Journal of Functional Analysis. 260(5). 1476–1490. 32 indexed citations

17.

Klep, Igor & Thomas Unger. (2010). The Procesi–Schacher conjecture and Hilbert's 17th problem for algebras with involution. Journal of Algebra. 324(2). 256–268. 2 indexed citations

18.

Helton, J. William, et al.. (2009). Noncommutative ball maps. Journal of Functional Analysis. 257(1). 47–87. 19 indexed citations

19.

Klep, Igor & Markus Schweighofer. (2007). Connes' embedding conjecture and sums of hermitian squares. Advances in Mathematics. 217(4). 1816–1837. 47 indexed citations

20.

Klep, Igor, et al.. (2005). On *-orderable groups. Journal of Pure and Applied Algebra. 200(1-2). 25–35. 3 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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