Matthias Flach

913 total citations
20 papers, 454 citations indexed

About

Matthias Flach is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Matthias Flach has authored 20 papers receiving a total of 454 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 15 papers in Mathematical Physics and 6 papers in Algebra and Number Theory. Recurrent topics in Matthias Flach's work include Algebraic Geometry and Number Theory (16 papers), Advanced Algebra and Geometry (13 papers) and Homotopy and Cohomology in Algebraic Topology (5 papers). Matthias Flach is often cited by papers focused on Algebraic Geometry and Number Theory (16 papers), Advanced Algebra and Geometry (13 papers) and Homotopy and Cohomology in Algebraic Topology (5 papers). Matthias Flach collaborates with scholars based in United States, United Kingdom and France. Matthias Flach's co-authors include David Burns, Fred Diamond, Li Guo, Paul Mathis and Dirk Müller and has published in prestigious journals such as Inventiones mathematicae, Bulletin of the London Mathematical Society and American Journal of Mathematics.

In The Last Decade

Matthias Flach

20 papers receiving 380 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Matthias Flach United States	9	422	385	166	61	18	20	454
Masato Kurihara Japan	12	270 0.6×	222 0.6×	119 0.7×	33 0.5×	20 1.1×	25	293
Henri Carayol France	6	363 0.9×	352 0.9×	146 0.9×	60 1.0×	10 0.6×	14	384
Bernadette Perrin-Riou France	14	468 1.1×	424 1.1×	261 1.6×	48 0.8×	17 0.9×	23	483
A S Merkur'ev United States	6	359 0.9×	255 0.7×	120 0.7×	57 0.9×	45 2.5×	11	383
Jan Nekovář France	10	325 0.8×	295 0.8×	186 1.1×	40 0.7×	10 0.6×	21	335
J. S. Milne	4	396 0.9×	321 0.8×	123 0.7×	39 0.6×	49 2.7×	5	413
R. Sujatha India	11	436 1.0×	362 0.9×	183 1.1×	39 0.6×	29 1.6×	44	456
Bas Edixhoven Netherlands	12	428 1.0×	367 1.0×	155 0.9×	60 1.0×	47 2.6×	27	459
A. J. Scholl United Kingdom	9	302 0.7×	301 0.8×	163 1.0×	52 0.9×	30 1.7×	23	366
Pierre Colmez France	11	382 0.9×	361 0.9×	124 0.7×	27 0.4×	29 1.6×	34	414

Countries citing papers authored by Matthias Flach

Since Specialization

Citations

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

Fields of papers citing papers by Matthias Flach

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Matthias Flach

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

Flach, Matthias, et al.. (2024). The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication. 12(2). 357–415. 1 indexed citations

Flach, Matthias, et al.. (2021). Compatibility of special value conjectures with the functional equation of zeta functions. Documenta Mathematica. 26. 1633–1677. 2 indexed citations

Flach, Matthias, et al.. (2019). Zukünftige hydraulische Systeme für die Verteilung von Wärme und Kälte in modernen neuen oder sanierten Gebäuden mit unterschiedlichen Abnehmern und Erzeugern [ZUGABE] : Abschlussbericht zum Verbundvorhaben : gemeinschaftlicher Abschlussbericht über alle Teilprojekte : Projektlaufzeit: 06/2015-12/2018. TIB Hannover. 1 indexed citations

Flach, Matthias, et al.. (2018). Weil-Étale Cohomology and Zeta-Values of Proper Regular Arithmetic Schemes. Documenta Mathematica. 23. 1425–1560. 5 indexed citations

Flach, Matthias, et al.. (2016). On the local Tamagawa number conjecture for Tate motives over tamely ramified fields. Algebra & Number Theory. 10(6). 1221–1275. 1 indexed citations

Flach, Matthias, et al.. (2012). On the Weil-étale topos of regular arithmetic schemes. Documenta Mathematica. 17. 313–399. 4 indexed citations

Flach, Matthias. (2011). On the cyclotomic main conjecture for the prime 2. Journal für die reine und angewandte Mathematik (Crelles Journal). 2011(661). 1–36. 19 indexed citations

Flach, Matthias. (2009). Iwasawa Theory and Motivic L-functions. Pure and Applied Mathematics Quarterly. 5(1). 255–294. 6 indexed citations

Flach, Matthias. (2008). Cohomology of topological groups with applications to the Weil group. Compositio Mathematica. 144(3). 633–656. 15 indexed citations

10.

Diamond, Fred, Matthias Flach, & Li Guo. (2004). The Tamagawa number conjecture of adjoint motives of modular forms. Annales Scientifiques de l École Normale Supérieure. 37(5). 663–727. 64 indexed citations

11.

Burns, David & Matthias Flach. (2003). Tamagawa numbers for motives with (noncommutative) coefficients, II. American Journal of Mathematics. 125(3). 475–512. 34 indexed citations

12.

Burns, David & Matthias Flach. (2001). Tamagawa numbers for motives with (non-commutative) coefficients. Documenta Mathematica. 6. 501–570. 97 indexed citations

13.

Diamond, Fred, Matthias Flach, & Li Guo. (2001). The Bloch-Kato conjecture for adjoint motives of modular forms. Mathematical Research Letters. 8(4). 437–442. 8 indexed citations

14.

Flach, Matthias. (2000). Euler Characteristics in Relative K-Groups. Bulletin of the London Mathematical Society. 32(3). 272–284. 8 indexed citations

15.

Burns, David & Matthias Flach. (1998). On Galois structure invariants associated to Tate motives. American Journal of Mathematics. 120(6). 1343–1397. 39 indexed citations

16.

Burns, David & Matthias Flach. (1996). Motivic L-functions and Galois module structures. Mathematische Annalen. 305(1). 65–102. 28 indexed citations

17.

Flach, Matthias. (1992). A finiteness theorem for the symmetric square of an elliptic curve. Inventiones mathematicae. 109(1). 307–327. 64 indexed citations

18.

Flach, Matthias. (1990). A generalisation of the Cassel-Tate pairing.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1990(412). 113–127. 54 indexed citations

19.

Flach, Matthias. (1989). Periods and special values of the hypergeometric series. Mathematical Proceedings of the Cambridge Philosophical Society. 106(3). 389–401. 3 indexed citations

20.

Flach, Matthias. (1986). Herleitung der Chowla-Selberg-Formel aus Shimura'schen Periodenrelationen. Archiv der Mathematik. 47(5). 418–421. 1 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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