Francis Brown

2.0k citations

23 papers · 577 indexed · h-index 10

Nuclear and High Energy Physics top 5%
Geometry and Topology top 5%
Algebra and Number Theory top 5%
Mathematical Physics top 10%
Statistical and Nonlinear Physics top 5%

Co-authors: Oliver Schnetz Dirk Kreimer Thomas Fink Sebastian E. Ahnert Clément Dupont Richard Hain
Topics: Advanced Mathematical Identities (12 papers)Analytic Number Theory Research (9 papers)Algebraic Geometry and Number Theory (8 papers)
Cited by: Algebra and Number Theory Nuclear and High Energy Physics Geometry and Topology
Journals: Bioinformatics Communications in Mathematical Physics Europhysics Letters (EPL)
Partner nations: France United Kingdom Germany

In The Last Decade

Francis Brown

21 papers receiving 553 citations

Peers

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

#	Work	Indexed citations
1	Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_{g}(\mathbb{Z})$ and $\mathrm{SL}_{g}(\mathbb{Z})$ 2025 ·Inventiones mathematicae ·Francis Brown	0
2	LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS 2022 ·Nagoya Mathematical Journal ·Francis Brown,(unknown)	9
3	Invariant Differential Forms on Complexes of Graphs and Feynman Integrals 2021 ·Symmetry Integrability and Geometry Methods and Applications ·Francis Brown	3
4	Single-Valued Integration and Superstring Amplitudes in Genus Zero 2021 ·Communications in Mathematical Physics ·Francis Brown,Clément Dupont	1
5	On the decomposition of motivic multiple zeta values 2019 ·Advanced studies in pure mathematics ·Francis Brown	32
6	Algebraic de Rham theory for weaklyholomorphic modular forms of level one 2018 ·Algebra & Number Theory ·Francis Brown,Richard Hain	2
7	A class of non-holomorphic modular forms III: real analytic cusp forms for $$\mathrm {SL}_2(\mathbb {Z})$$ SL 2 ( Z ) 2018 ·Research in the Mathematical Sciences ·Francis Brown	8
8	ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE 2017 ·Forum of Mathematics Sigma ·Francis Brown	9
9	Irrationality proofs for zeta values, moduli spaces and dinner parties 2016 ·Oxford University Research Archive (ORA) (University of Oxford) ·Francis Brown	4
10	Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem 2015 ·Journal of Number Theory ·Francis Brown,(unknown)	1
11	Single-valued multiple polylogarithms and a proof of the zig–zag conjecture 2014 ·Journal of Number Theory ·Francis Brown,Oliver Schnetz	16
12	SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES 2014 ·Forum of Mathematics Sigma ·Francis Brown	68
13	Decomposing Feynman rules 2013 ·Dirk Kreimer,Francis Brown	0
14	A K3 in ϕ4 2012 ·Duke Mathematical Journal ·Francis Brown,Oliver Schnetz	58
15	1-D random landscapes and non-random data series 2007 ·Europhysics Letters (EPL) ·Thomas Fink,(unknown),Francis Brown	7
16	Périodes des espaces des modules M ¯ 0 , n et valeurs zêtas multiples 2006 ·Comptes Rendus Mathématique ·Francis Brown	6
17	Unbiased pattern detection in microarray data series 2006 ·Bioinformatics ·Sebastian E. Ahnert,(unknown),Francis Brown,Thomas Fink	17
18	On arithmetic and asymptotic properties of up–down numbers 2006 ·Discrete Mathematics ·Francis Brown,(unknown),(unknown)	5
19	Li's criterion and zero-free regions of L-functions 2005 ·Journal of Number Theory ·Francis Brown	14
20	Polylogarithmes multiples uniformes en une variable 2004 ·Comptes Rendus Mathématique ·Francis Brown	95

About Francis Brown

Francis Brown is a scholar working on Algebra and Number Theory, Theoretical Computer Science and Discrete Mathematics and Combinatorics, having authored 23 papers that have together received 577 indexed citations. Recurring topics across this work include Advanced Mathematical Identities (12 papers), Analytic Number Theory Research (9 papers) and Algebraic Geometry and Number Theory (8 papers). The work is most often cited by research in Algebra and Number Theory (166 citations), Nuclear and High Energy Physics (325 citations) and Geometry and Topology (206 citations). Francis Brown has collaborated with scholars based in France, United Kingdom and Germany. Frequent co-authors include Oliver Schnetz, Dirk Kreimer, Thomas Fink, Sebastian E. Ahnert, Clément Dupont and Richard Hain. Their work appears in journals such as Bioinformatics, Communications in Mathematical Physics and Europhysics Letters (EPL).

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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