Lothar Göttsche

2.7k total citations
33 papers, 1.0k citations indexed

About

Lothar Göttsche is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Lothar Göttsche has authored 33 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 23 papers in Mathematical Physics and 7 papers in Algebra and Number Theory. Recurrent topics in Lothar Göttsche's work include Algebraic Geometry and Number Theory (25 papers), Advanced Algebra and Geometry (20 papers) and Algebraic structures and combinatorial models (9 papers). Lothar Göttsche is often cited by papers focused on Algebraic Geometry and Number Theory (25 papers), Advanced Algebra and Geometry (20 papers) and Algebraic structures and combinatorial models (9 papers). Lothar Göttsche collaborates with scholars based in Italy, Germany and Netherlands. Lothar Göttsche's co-authors include Barbara Fantechi, Wolfgang Soergel, Kōta Yoshioka, Hiraku Nakajima, Steven L. Kleiman, Angelo Vistoli, Nitin Nitsure, Luc Illusie, Don Zagier and Martijn Kool and has published in prestigious journals such as Communications in Mathematical Physics, Lecture notes in mathematics and Journal of Differential Geometry.

In The Last Decade

Lothar Göttsche

33 papers receiving 889 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Lothar Göttsche Italy 18 922 690 209 171 127 33 1.0k
Carel Faber Sweden 12 635 0.7× 480 0.7× 159 0.8× 74 0.4× 78 0.6× 32 745
S. Ramanan India 17 981 1.1× 805 1.2× 149 0.7× 67 0.4× 80 0.6× 31 1.1k
Tom Bridgeland United Kingdom 17 1.5k 1.6× 1.0k 1.5× 296 1.4× 218 1.3× 81 0.6× 28 1.6k
Christian Okonek Germany 15 1.1k 1.2× 720 1.0× 235 1.1× 78 0.5× 145 1.1× 42 1.3k
Alexander Givental United States 14 899 1.0× 601 0.9× 144 0.7× 109 0.6× 57 0.4× 35 1.0k
P. Μ. H. Wilson United Kingdom 14 749 0.8× 369 0.5× 111 0.5× 127 0.7× 107 0.8× 34 840
Keiji Oguiso Japan 16 736 0.8× 480 0.7× 91 0.4× 87 0.5× 65 0.5× 76 787
Victor V. Batyrev Germany 14 798 0.9× 365 0.5× 207 1.0× 83 0.5× 109 0.9× 28 850
Indranil Biswas India 16 1.3k 1.4× 1.1k 1.6× 136 0.7× 150 0.9× 48 0.4× 395 1.5k
Carlos Simpson France 16 2.1k 2.2× 1.6k 2.4× 164 0.8× 170 1.0× 99 0.8× 37 2.2k

Countries citing papers authored by Lothar Göttsche

Since Specialization
Citations

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

Fields of papers citing papers by Lothar Göttsche

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lothar Göttsche

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

All Works

20 of 20 papers shown
1.
Göttsche, Lothar, et al.. (2024). SU(r) Vafa-Witten Invariants, Ramanujan’s Continued Fractions, and Cosmic Strings. The Michigan Mathematical Journal. 75(1). 1 indexed citations
2.
Göttsche, Lothar & Martijn Kool. (2020). Virtual Refinements of the Vafa–Witten Formula. Communications in Mathematical Physics. 376(1). 1–49. 13 indexed citations
3.
Göttsche, Lothar, et al.. (2019). Refined SU(3) Vafa-Witten invariants and modularity. Data Archiving and Networked Services (DANS). 11 indexed citations
4.
Göttsche, Lothar & Yuan Yao. (2018). Generating functions for 𝐾-theoretic Donaldson invariants and Le Potier’s strange duality. Journal of Algebraic Geometry. 28(1). 43–98. 3 indexed citations
5.
Göttsche, Lothar, et al.. (2015). Refined curve counting with tropical geometry. Compositio Mathematica. 152(1). 115–151. 23 indexed citations
6.
Göttsche, Lothar & Vivek Shende. (2015). The χ−y-genera of relative Hilbert schemes for linear systems on Abelian and K3 surfaces. Algebraic geometry. 2(4). 405–421. 2 indexed citations
7.
Göttsche, Lothar, Hiraku Nakajima, & Kōta Yoshioka. (2011). Donaldson = Seiberg–Witten from Mochizuki's Formula and Instanton Counting. Publications of the Research Institute for Mathematical Sciences. 47(1). 307–359. 23 indexed citations
8.
Göttsche, Lothar, Hiraku Nakajima, & Kōta Yoshioka. (2009). K-theoretic Donaldson Invariants Via Instanton Counting. Pure and Applied Mathematics Quarterly. 5(3). 1029–1112. 46 indexed citations
9.
Göttsche, Lothar, Hiraku Nakajima, & Kōta Yoshioka. (2008). Instanton counting and Donaldson invariants. Journal of Differential Geometry. 80(3). 35 indexed citations
10.
Fantechi, Barbara, Lothar Göttsche, Luc Illusie, et al.. (2006). Fundamental Algebraic Geometry. Mathematical surveys and monographs. 165 indexed citations
11.
Fantechi, Barbara & Lothar Göttsche. (2003). Orbifold cohomology for global quotients. Duke Mathematical Journal. 117(2). 45 indexed citations
12.
Demailly, Jean-Pierre, Lothar Göttsche, & Robert Lazarsfeld. (2001). School on vanishing theorems and effective results in algebraic geometry : 25 April-12 May 2000. 1 indexed citations
13.
Göttsche, Lothar. (2001). On the Motive of the Hilbert scheme of points on a surface. Mathematical Research Letters. 8(5). 613–627. 29 indexed citations
14.
Göttsche, Lothar. (1998). A Conjectural Generating Function for Numbers of Curves on Surfaces. Communications in Mathematical Physics. 196(3). 523–533. 63 indexed citations
15.
Göttsche, Lothar. (1996). Modular forms and Donaldson invariants for 4-manifolds with 𝑏₊=1. Journal of the American Mathematical Society. 9(3). 827–843. 27 indexed citations
16.
Göttsche, Lothar. (1996). Orbifold-Hodge numbers of Hilbert schemes. Banach Center Publications. 36(1). 83–87. 7 indexed citations
17.
Göttsche, Lothar & Daniel Huybrechts. (1996). HODGE NUMBERS OF MODULI SPACES OF STABLE BUNDLES ON K3 SURFACES. International Journal of Mathematics. 7(3). 359–372. 28 indexed citations
18.
Göttsche, Lothar. (1994). Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties. Lecture notes in mathematics. 50 indexed citations
19.
Fantechi, Barbara & Lothar Göttsche. (1993). The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1993(439). 147–158. 9 indexed citations
20.
Göttsche, Lothar. (1990). Betti numbers for the hilbert function strata of the punctual hilbert scheme in two variables. manuscripta mathematica. 66(1). 253–259. 11 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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