D. Kotschick

1.7k total citations
61 papers, 747 citations indexed

About

D. Kotschick is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, D. Kotschick has authored 61 papers receiving a total of 747 indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Geometry and Topology, 31 papers in Mathematical Physics and 19 papers in Applied Mathematics. Recurrent topics in D. Kotschick's work include Geometric and Algebraic Topology (33 papers), Geometry and complex manifolds (29 papers) and Homotopy and Cohomology in Algebraic Topology (23 papers). D. Kotschick is often cited by papers focused on Geometric and Algebraic Topology (33 papers), Geometry and complex manifolds (29 papers) and Homotopy and Cohomology in Algebraic Topology (23 papers). D. Kotschick collaborates with scholars based in Germany, Switzerland and United States. D. Kotschick's co-authors include Mikio Furuta, Simon Donaldson, John W. Morgan, Jaume Amorós, Kevin Corlette, M. Burger, Hidenori Endo, Clifford Henry Taubes, Alastair King and Kenji Fukaya and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Transactions of the American Mathematical Society.

In The Last Decade

D. Kotschick

58 papers receiving 649 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
D. Kotschick Germany	15	689	486	188	57	42	61	747
Mikio Furuta Japan	13	419 0.6×	374 0.8×	93 0.5×	69 1.2×	51 1.2×	33	490
Reinhard Schultz United States	13	421 0.6×	449 0.9×	111 0.6×	43 0.8×	35 0.8×	81	543
Kevin Corlette United States	9	539 0.8×	411 0.8×	203 1.1×	27 0.5×	40 1.0×	12	617
Ivan Smith United Kingdom	14	514 0.7×	406 0.8×	65 0.3×	95 1.7×	24 0.6×	41	533
Thomas Peternell Germany	18	1.3k 1.9×	705 1.5×	410 2.2×	64 1.1×	16 0.4×	88	1.4k
Domingo Toledo United States	14	555 0.8×	443 0.9×	118 0.6×	40 0.7×	7 0.2×	45	620
Misha Verbitsky Russia	16	679 1.0×	291 0.6×	410 2.2×	23 0.4×	54 1.3×	75	713
Geoffrey Mess United States	8	338 0.5×	281 0.6×	109 0.6×	56 1.0×	32 0.8×	10	392
Tamás Hausel United States	13	451 0.7×	362 0.7×	59 0.3×	124 2.2×	65 1.5×	30	521
Michael Nakamaye United States	11	409 0.6×	161 0.3×	193 1.0×	27 0.5×	20 0.5×	26	432

Countries citing papers authored by D. Kotschick

Since Specialization

Citations

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

Fields of papers citing papers by D. Kotschick

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of D. Kotschick

This figure shows the co-authorship network connecting the top 25 collaborators of D. Kotschick. A scholar is included among the top collaborators of D. Kotschick 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 D. Kotschick. D. Kotschick is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Kotschick, D.. (2023). Almost complex structures on hyperbolic manifolds. Mathematische Zeitschrift. 305(1). 1 indexed citations

Kotschick, D., et al.. (2023). Künneth Geometry. Cambridge University Press eBooks.

Kotschick, D.. (2021). Holomorphic one-forms, fibrations over the circle, and characteristic numbers of Kähler manifolds. Mathematical Proceedings of the Cambridge Philosophical Society. 172(1). 95–103. 2 indexed citations

Kotschick, D.. (2012). Three-manifolds and Kähler groups. Annales de l’institut Fourier. 62(3). 1081–1090. 3 indexed citations

Kotschick, D.. (2011). Topologically invariant Chern numbers of projective varieties. Advances in Mathematics. 229(2). 1300–1312. 7 indexed citations

Kotschick, D., et al.. (2009). Moser stability for locally conformally symplectic structures. Proceedings of the American Mathematical Society. 137(7). 2419–2424. 10 indexed citations

Kotschick, D., et al.. (2008). Coarse topology, enlargeability, and essentialness. Annales Scientifiques de l École Normale Supérieure. 41(3). 473–495. 5 indexed citations

Kotschick, D. & Shigeyuki Morita. (2007). Characteristic classes of foliated surface bundles with area-preserving holonomy. Journal of Differential Geometry. 75(2). 4 indexed citations

Kotschick, D.. (2006). The Topology and Combinatorics of Soccer Balls. American Scientist. 94(4). 350–350. 8 indexed citations

10.

Kotschick, D., et al.. (2006). Minimality and irreducibility of symplectic four-manifolds. International Mathematics Research Notices. 13 indexed citations

11.

Kotschick, D., et al.. (2005). Einstein metrics and the number of smooth structures on a four-manifold. Topology. 44(3). 641–659. 4 indexed citations

12.

Kotschick, D., et al.. (2005). The geometry of symplectic pairs. Transactions of the American Mathematical Society. 358(4). 1643–1655. 15 indexed citations

13.

Endo, Hidenori & D. Kotschick. (2001). Bounded cohomology and non-uniform perfection of mapping class groups. Inventiones mathematicae. 144(1). 169–175. 26 indexed citations

14.

Kotschick, D., et al.. (2000). On the simplicial volumes of fiber bundles. Proceedings of the American Mathematical Society. 129(4). 1229–1232. 6 indexed citations

15.

Kotschick, D.. (1997). Orientations and Geometrisations of Compact Complex Surfaces. Bulletin of the London Mathematical Society. 29(2). 145–149. 22 indexed citations

16.

Kotschick, D.. (1996). The Seiberg-Witten invariants of symplectic four-manifolds. French digital mathematics library (Numdam). 38. 195–220. 17 indexed citations

17.

Amorós, Jaume, et al.. (1996). Fundamental Groups of Compact Kähler Manifolds. Mathematical surveys and monographs. 85 indexed citations

18.

Kotschick, D.. (1994). ON THE PLURICANONICAL MAPS OF GODEAUX AND CAMPEDELLI SURFACES. International Journal of Mathematics. 5(1). 53–60. 3 indexed citations

19.

Johnson, F. E. A. & D. Kotschick. (1993). On the signature and Euler characteristic of certain four-manifolds. Mathematical Proceedings of the Cambridge Philosophical Society. 114(3). 431–437. 10 indexed citations

20.

Kotschick, D.. (1993). . International Mathematics Research Notices. 1993(6). 179–179. 6 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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