Samuel Alexander
· Excellence ProfessorUniversity of Illinois Urbana-Champaign · Education Policy, Organization & Leadership
Active 1893–2026
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Research topics
- Mathematics
- Computer Science
- Geometry
- Mathematical analysis
- Pure mathematics
- Physics
- Epistemology
- Aesthetics
- Geology
- Psychology
Selected publications
An Invitation to Alexandrov Geometry
SpringerBriefs in mathematics · 2019-01-01 · 29 citations
book1st authorCorrespondingAlexandrov geometry: preliminary version no. 1
arXiv (Cornell University) · 2019-03-20 · 26 citations
preprintOpen access1st authorCorrespondingThis is a preliminary version of our book. It goes up to the definition of dimension, which is about 30% of the material we plan to include. If you use it as a reference, do not forget to include the version number since the numbering will be changed.
Graduate studies in mathematics · 2024 · 20 citations
1st authorCorrespondingGeneralized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems
Communications in Analysis and Geometry · 2023 · 19 citations
1st authorCorrespondingGeneralized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems
arXiv (Cornell University) · 2019-09-20 · 11 citations
preprintOpen access1st authorCorrespondingWe study generalizations of Lorentzian warped products with one-dimensional base of the form $I\times_f X$, where $I$ is an interval, $X$ is a length space and $f$ is a positive continuous function. These generalized cones furnish an important class of Lorentzian length spaces in the sense of [Kunzinger, Sämann; Ann. Glob. Anal. Geom. 54(3):399--447, 2018], displaying optimal causality properties that allow for explicit descriptions of all underlying notions. In addition, synthetic sectional cur…
Frequent coauthors
- 32 shared
Richard L. Bishop
Alice Springs Hospital
- 21 shared
Anton Petrunin
Pennsylvania State University
- 20 shared
Vitali Kapovitch
University of Toronto
- 7 shared
Ina Berg
- 6 shared
William A. Karr
- 4 shared
Robert Ghrist
- 3 shared
Bishop R
Baylor College of Medicine
- 3 shared
Clemens Sämann
University of Oxford
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