Francis Brown

2.0k total citations
23 papers, 577 citations indexed

About

Francis Brown is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Francis Brown has authored 23 papers receiving a total of 577 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Algebra and Number Theory, 9 papers in Geometry and Topology and 8 papers in Mathematical Physics. Recurrent topics in Francis Brown's work include Advanced Mathematical Identities (12 papers), Analytic Number Theory Research (9 papers) and Algebraic Geometry and Number Theory (8 papers). Francis Brown is often cited by papers focused on Advanced Mathematical Identities (12 papers), Analytic Number Theory Research (9 papers) and Algebraic Geometry and Number Theory (8 papers). Francis Brown collaborates with scholars based in France, United Kingdom and Germany. Francis Brown's co-authors include Oliver Schnetz, Dirk Kreimer, Thomas Fink, Sebastian E. Ahnert, Clément Dupont and Richard Hain and has published in prestigious journals such as Bioinformatics, Communications in Mathematical Physics and Europhysics Letters (EPL).

In The Last Decade

Francis Brown

21 papers receiving 553 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Francis Brown France	10	325	206	166	116	98	23	577
Bertrand Eynard France	10	133 0.4×	200 1.0×	66 0.4×	162 1.4×	140 1.4×	21	381
Nicolas Orantin France	10	277 0.9×	411 2.0×	111 0.7×	340 2.9×	265 2.7×	15	759
Leonid Chekhov Russia	15	234 0.7×	421 2.0×	127 0.8×	359 3.1×	293 3.0×	68	753
Christian Bogner Germany	12	441 1.4×	205 1.0×	199 1.2×	119 1.0×	79 0.8×	30	720
A. Alexandrov Russia	15	345 1.1×	552 2.7×	115 0.7×	356 3.1×	373 3.8×	48	810
Sh. Shakirov Russia	15	437 1.3×	411 2.0×	79 0.5×	173 1.5×	318 3.2×	27	673
Luise Adams Germany	8	357 1.1×	168 0.8×	173 1.0×	86 0.7×	53 0.5×	13	566
Shi-shyr Roan Taiwan	10	167 0.5×	362 1.8×	153 0.9×	158 1.4×	163 1.7×	27	502
Paul Norbury Australia	11	65 0.2×	251 1.2×	59 0.4×	191 1.6×	72 0.7×	43	350
A. P. Isaev Russia	14	183 0.6×	368 1.8×	279 1.7×	140 1.2×	266 2.7×	71	603

Countries citing papers authored by Francis Brown

Since Specialization

Citations

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

Fields of papers citing papers by Francis Brown

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Francis Brown

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

Brown, Francis. (2025). Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_{g}(\mathbb{Z})$ and $\mathrm{SL}_{g}(\mathbb{Z})$. Inventiones mathematicae. 241(1). 35–152.

Brown, Francis, et al.. (2022). LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS. Nagoya Mathematical Journal. 249. 148–220. 9 indexed citations

Brown, Francis. (2021). Invariant Differential Forms on Complexes of Graphs and Feynman Integrals. Symmetry Integrability and Geometry Methods and Applications. 3 indexed citations

Brown, Francis & Clément Dupont. (2021). Single-Valued Integration and Superstring Amplitudes in Genus Zero. Communications in Mathematical Physics. 382(2). 815–874. 1 indexed citations

Brown, Francis. (2019). On the decomposition of motivic multiple zeta values. Advanced studies in pure mathematics. 31–58. 32 indexed citations

Brown, Francis & Richard Hain. (2018). Algebraic de Rham theory for weaklyholomorphic modular forms of level one. Algebra & Number Theory. 12(3). 723–750. 2 indexed citations

Brown, Francis. (2018). A class of non-holomorphic modular forms III: real analytic cusp forms for $$\mathrm {SL}_2(\mathbb {Z})$$ SL 2 ( Z ). Research in the Mathematical Sciences. 5(3). 8 indexed citations

Brown, Francis. (2017). ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE. Forum of Mathematics Sigma. 5. 9 indexed citations

Brown, Francis. (2016). Irrationality proofs for zeta values, moduli spaces and dinner parties. Oxford University Research Archive (ORA) (University of Oxford). 4 indexed citations

10.

Brown, Francis, et al.. (2015). Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem. Journal of Number Theory. 158. 90–103. 1 indexed citations

11.

Brown, Francis & Oliver Schnetz. (2014). Single-valued multiple polylogarithms and a proof of the zig–zag conjecture. Journal of Number Theory. 148. 478–506. 16 indexed citations

12.

Brown, Francis. (2014). SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES. Forum of Mathematics Sigma. 2. 68 indexed citations

13.

Kreimer, Dirk & Francis Brown. (2013). Decomposing Feynman rules. 49–49.

14.

Brown, Francis & Oliver Schnetz. (2012). A K3 in ϕ4. Duke Mathematical Journal. 161(10). 58 indexed citations

15.

Fink, Thomas, et al.. (2007). 1-D random landscapes and non-random data series. Europhysics Letters (EPL). 79(3). 38006–38006. 7 indexed citations

16.

Brown, Francis. (2006). Périodes des espaces des modules M ¯ 0 , n et valeurs zêtas multiples. Comptes Rendus Mathématique. 342(12). 949–954. 6 indexed citations

17.

Ahnert, Sebastian E., et al.. (2006). Unbiased pattern detection in microarray data series. Bioinformatics. 22(12). 1471–1476. 17 indexed citations

18.

Brown, Francis, et al.. (2006). On arithmetic and asymptotic properties of up–down numbers. Discrete Mathematics. 307(14). 1722–1736. 5 indexed citations

19.

Brown, Francis. (2005). Li's criterion and zero-free regions of L-functions. Journal of Number Theory. 111(1). 1–32. 14 indexed citations

20.

Brown, Francis. (2004). Polylogarithmes multiples uniformes en une variable. Comptes Rendus Mathématique. 338(7). 527–532. 95 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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