F. Brown

Geometry and Topology · Forum of Mathematics, Sigma · 2008–2017

A researcher in the Science corpus: 11 papers; trusts 25 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 33 citations into it; #637 of 7,422 by trust here, #1,324 by citations
• Algebra and Number Theory — 31 citations into it; #82 of 2,864 by trust here, #147 by citations
• Mathematical Physics — 31 citations into it; #1,163 of 8,562 by trust here, #3,022 by citations
• Discrete Mathematics and Combinatorics — 22 citations into it; #298 of 2,017 by trust here, #345 by citations
• Spectroscopy — 7 citations into it; #1,177 of 1,674 by trust here, #1,607 by citations

Whom F. Brown trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. A. Goncharov
2. Aaron Pollack
3. B. Enriquez
4. K. Ihara
5. T. Terasoma
6. Spencer Bloch
7. Damien Calaque
8. Hirofumi Tsumura
9. Don Zagier
10. H. Furusho

Who trusts F. Brown overall

1. Erik Panzer
2. Claude Duhr
3. Mikhail V. Kompaniets
4. P. Baikov
5. Johannes Broedel
6. Oliver Schnetz
7. Gudrun Heinrich
8. A. Manteuffel
9. Thomas Willwacher
10. L. Dixon

Papers from F. Brown's perspective

Ordered by how strongly the researchers F. Brown trusts endorse each paper. Same corpus, a different order for every researcher.

1. Galois symmetries of fundamental groupoids and noncommutative geometry
2. Higher Regulators, Algebraic K-Theory, and Zeta Functions of Elliptic Curves
3. Combinatorial relations for Euler-Zagier sums
4. Universal KZB equations I: the elliptic case
5. Derivation and double shuffle relations for multiple zeta values (Compositio Mathematica)
6. Mixed Tate motives over $\Z$
7. The Massless Higher-Loop Two-Point Function
8. Multiple polylogarithms, cyclotomy and modular complexes
9. Multiple polylogarithms and mixed Tate motives
10. Multiple ζ-Values, Galois Groups, and Geometry of Modular Varieties

Their papers

• A class of non-holomorphic modular forms I (2017) — 95 citations
• A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS (2017) — 70 citations
• Single-valued multiple polylogarithms and a proof of the zig–zag conjecture (2015) — 46 citations
• Multiple Modular Values and the relative completion of the fundamental group of $M_{1,1}$ (2014) — 97 citations
• SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES (2014) — 139 citations
• Depth-graded motivic multiple zeta values (2013) — 53 citations
• On the decomposition of motivic multiple zeta values (2011) — 195 citations
• Mixed Tate motives over $\Z$ (2011) — 426 citations
• Multiple Elliptic Polylogarithms (2011) — 185 citations
• On the periods of some Feynman integrals (2009) — 215 citations
• The Massless Higher-Loop Two-Point Function (2008) — 270 citations