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The mathematician Shmuel Aaron Weinberger (born
February 20, 1963) is an American topologist. He completed
a PhD in mathematics in 1982 at New York University under the
direction of Sylvain Cappell. Weinberger was from
1994 to 1996 the Thomas A.
Scott Professor of Mathematics at the University of Pennsylvania,
and is currently a professor of mathematics at the University of Chicago.
His research interests include geometric topology, differential geometry, geometric group theory, and, in
recent years, applications of topology in other disciplines. He has
written a book on topologically stratified
spaces and one on the application of mathematical
logic to geometry.
He has given the Porter lectures at Rice University (2000), the
Jankowski memorial lecture of the Polish Academy of Sciences
(2000), the Zabrodsky Memorial lecture at Hebrew University (2001),
the Cairns lectures at University of Illinois at Urbana-Champaign
(2002), the Marker lectures in Mathematics at Penn. State
University (2003), the Lewis Lectures at Rutgers University (2004),
the Blumenthal Lectures at Tel Aviv University (2005), and the
Hardy Lectures of the London Mathematical Society (2008). In
addition he has given invited lectures at the International
Congress of Mathematicians (1994), a mini-symposium at the European
Congress of Mathematics (2008), the American Mathematical Society
(1989), and the Association for Symbolic Logic (2001).
Books by
Weinberger
- Weinberger, Shmuel: The topological classification of
stratified spaces. Chicago Lectures in Mathematics. University
of Chicago Press, Chicago, IL, 1994.
- Weinberger, Shmuel: Computers, rigidity, and moduli. The
large-scale fractal geometry of Riemannian moduli space. M. B.
Porter Lectures. Princeton University Press, Princeton, NJ,
2005.
Additional publications
- Attie, O.; Block, J.; Weinberger, S.: Characteristic classes
and distortion of diffeomorphisms. J. Amer. Math. Soc. 5 (1992),
no. 4, 919—921.
- Bangert, V; Katz, M.; Shnider, S.; Weinberger, S.: E_7,
Wirtinger inequalities, Cayley 4-form, and homotopy. Duke Math. J.
146 ('09), no. 1, 35-70. See arXiv:math.DG/0608006
- Block, J.; Weinberger, S.: Aperiodic tilings, positive scalar
curvature and amenability of spaces. J. Amer. Math. Soc. 5 (1992),
no. 4, 907—918.
- Bryant, J.; Ferry, S.; Mio, W.; Weinberger, S.: Topology of
homology manifolds. Ann. of Math. (2) 143 (1996), no. 3,
435–467.
- Davis, J.F.; Weinberger, S.: Group actions on homology spheres.
Invent. Math. 86 (1986), no. 2, 209–231.
- Dranishnikov, A. N.; Ferry, S.C.; Weinberger, S.: Large
Riemannian manifolds which are flexible. Ann. of Math. (2) 157
(2003), no. 3, 919–938.
- Farber, M.; Weinberger, S.: On the zero-in-the-spectrum
conjecture. Ann. of Math. (2) 154 (2001), no. 1, 139–154.
- Ferry, S.C.; Weinberger, S.: Curvature, tangentiality, and
controlled topology. Invent. Math. 105 (1991), no. 2, 401–414.
- Manevitz, Larry M.; Weinberger, Shmuel: Discrete circle
actions: a note using non-standard analysis. Israel J. Math. 94
(1996), 147—155.
- Farb, B.; Weinberger, S.: Isometries, rigidity and universal
covers, Ann. of Math. 168 ('08) no. 3, p. 915—940.
- Niyogi, P; Smale, S; Weinberger, S.:Finding the homology of
submanifolds with high confidence from random samples,
Combinatorial and Discrete Geometry 39 (2008) 419-441.
- Niyogi, P; Smale, S; Weinberger, S.:A topological view of
unsupervised learning from noisy data, http://www.math.uchicago.edu/~shmuel/noise.pdf
.
- Weinberger, S.:The Topological Social Choice Problem,
Revisited. Journal of Economic Theory 115 (2005) 377-384.
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