Jenne Praeger O'Brien (Author)

Gordin, Michael D. (Advisor)

Princeton University

Gordin, Michael D.

Publication Date: 2023

Physical Details: 287

Language: English

Physical Details: 287

Language: English

Outside Links

This dissertation examines mathematician Bernhard Riemann’s (1826-1866) creation of his 1854 habilitation lecture at the University of Göttingen in order to characterize scholarly labor and, by extension, mathematical labor. Riemann’s habilitation lecture lies at the intersection of two prominent transformation narratives: of German universities into “modern research universities” and of mathematics into “modern mathematics.” Riemann’s lecture, “On the Hypotheses Which Underlie Geometry,” is widely regarded as a foundational work in mathematics that later inspired modernist mathematicians. It is also an excellent exemplar of the broader genre of the habilitation lecture, which was a product of decisive university reforms. I provide a new account of scholarly labor in this pivotal moment by locating Riemann in the three academic spaces in which he developed his lecture: the library, the private residence, and the professor’s home. Each chapter focuses on one space; the dissertation as a whole provides an expansive picture of how young scholars conducted research at the University of Göttingen. I show that using each space required a certain kind of labor, which in turn shaped Riemann’s eventual habilitation lecture: organizing knowledge (the library), exercising moderation (Riemann’s residence), and conforming to academic social norms (professors’ homes). In forming his habilitation lecture, Riemann enacted each of these forms of labor with a corresponding epistemic tool: the notion (Begriff), the case (Fall), and generalization. By following Riemann’s creation of his habilitation lecture in these spaces, I provide an account of the function of these tools in academic research. Historians have considered the topics of this dissertation—Riemann’s habilitation lecture, the University of Göttingen, mathematics, Riemann himself—as exemplary in different ways, or even as exceptional. I scrutinize similar claims to exemplarity in Riemann’s habilitation lecture itself, and thereby historicize “particularist” and “generalist” narratives as a product of the nineteenth-century German university. A central difficulty of the habilitation lecture was to properly define the relationship between the general and the particular, not only in one’s research, but also in presenting oneself to the scholarly community.

...More Citation URI

Article
Darrigol, Olivier;
(2015)

The Mystery of Riemann's Curvature
(/isis/citation/CBB001551387/)

Book
Elsner, Norbert;
Rupke, Nicolaas A.;
(2009)

Wissenswelten---Bildungswelten: Im Auftrag der Akademie der Wissenschaften zu Göttingen und der Georg-August-Universität Göttingen
(/isis/citation/CBB001023147/)

Article
Cogliati, Alberto;
(2014)

Un réexamen du Commentatio Mathematica de Riemann
(/isis/citation/CBB001451431/)

Article
Deng, Mingli;
Yan, Chenguang;
(2006)

The Rudiments of the Idea of Riemann for Geometry
(/isis/citation/CBB000630902/)

Article
Klein, Boris;
(2010)

Leçons Privées
(/isis/citation/CBB001252107/)

Article
Franzel, Sean;
(2014)

A “Popular,” “Private” Lecturer? Kant's Theory and Practice of University Instruction
(/isis/citation/CBB001201785/)

Article
Danuta Ciesielska;
(2016)

Rola Funduszu im. dra Władysława Kretkowskiego w kształtowaniu krakowskiego ośrodka matematycznego / The Role of Dr. W. Kretkowski Fund in Shaping the Kraków Mathematical Centre
(/isis/citation/CBB738304020/)

Book
de Saint-Gervais, Henri Paul;
Poincaré, Henri;
Klein, Christian Felix;
(2010)

Uniformisation des surfaces de Riemann retour sur un théorème centenaire
(/isis/citation/CBB001551391/)

Article
Knobloch, Eberhard;
(2002)

Leibniz's Rigorous Foundation of Infinitesimal Geometry by Means of Riemannian Sums
(/isis/citation/CBB000300359/)

Article
Geoffrey Winthrop-Young;
(2023)

The Social Politics of Karl Escherich’s 1933 Inaugural Presidential Lecture
(/isis/citation/CBB272683827/)

Book
Brooks, Robert;
Sodin, Mikhail;
(2000)

Lectures in Memory of Lars Ahlfors
(/isis/citation/CBB000101661/)

Book
Enrico Fermi;
Roberto Casalbuoni;
Daniele Dominici;
Giuseppe Pelosi;
(2019)

Enrico Fermi a Firenze: le Lezioni di meccanica razionale al biennio propedeutico agli studi di ingegneria, 1924-1926
(/isis/citation/CBB226506006/)

Article
Ingaliso, Luigi;
(2011)

Mario Pieri's Address at the University of Catania
(/isis/citation/CBB001036219/)

Article
McLarty, Colin;
(2011)

Emmy Noether's First Great Mathematics and the Culmination of First-Phase Logicism, Formalism, and Intuitionism
(/isis/citation/CBB001022015/)

Article
Shell-Gellasch, Amy;
(2003)

The Olivier String Models at West Point
(/isis/citation/CBB000650130/)

Article
Barrow-Green, June;
Gray, Jeremy;
(2006)

Geometry at Cambridge, 1863--1940
(/isis/citation/CBB000601011/)

Article
Novy, Luboš;
(2008)

Les relations entre la logique et la mathématique dans l'oeuvre de Bernard Bolzano
(/isis/citation/CBB001021148/)

Article
Alberto Cogliati;
(2018)

Sulla ricezione del "Theorema Egregium," 1828-1868
(/isis/citation/CBB513903674/)

Book
Torretti, Roberto;
(1978)

Philosophy of geometry from Riemann to Poincaré
(/isis/citation/CBB000008239/)

Article
Maria de Paz;
José Ferreirós;
(2020)

From Gauss to Riemann Through Jacobi: Interactions Between the Epistemologies of Geometry and Mechanics?
(/isis/citation/CBB608935808/)

Be the first to comment!