Shmuel Weinberger
Encyclopedia
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 space
s 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), the Hardy Lectures of the London Mathematical Society
(2008), and the William Benter Lecture at the City University of Hong Kong (2010). In addition he has given invited lectures at the International Congress of Mathematicians
in Zürich
(1994), a mini-symposium at the European Congress of Mathematics
(2008), the American Mathematical Society
(1989), and the Association for Symbolic Logic
(2001).
New York University
New York University is a private, nonsectarian research university based in New York City. NYU's main campus is situated in the Greenwich Village section of Manhattan...
under the direction of Sylvain Cappell
Sylvain Cappell
Sylvain Edward Cappell , a Belgian American mathematician and former student of William Browder at Princeton University, is a topologist who has spent most of his career at the Courant Institute of Mathematical Sciences at NYU, where he is now the Silver Professor of Mathematics.He was born in...
. Weinberger was from 1994 to 1996 the Thomas A. Scott Professor of Mathematics
Thomas A. Scott Professorship of Mathematics
The Thomas A. Scott Professorship of Mathematics is an academic grant made to the University of Pennsylvania. It was established in 1881 by the railroad executive and financier: Thomas Alexander Scott.-Recipients:*Ezra Otis Kendall, 1881 – 1899...
at the University of Pennsylvania
University of Pennsylvania
The University of Pennsylvania is a private, Ivy League university located in Philadelphia, Pennsylvania, United States. Penn is the fourth-oldest institution of higher education in the United States,Penn is the fourth-oldest using the founding dates claimed by each institution...
, and is currently a professor of mathematics at the University of Chicago
University of Chicago
The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
.
His research interests include geometric topology
Geometric topology
In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.- Topics :...
, differential geometry, geometric group theory
Geometric group theory
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act .Another important...
, and, in recent years, applications of topology in other disciplines. He has written a book on topologically stratified space
Topologically stratified space
In topology, a branch of mathematics, a topologically stratified space is a space X that has been decomposed into pieces called strata; these strata are topological manifolds and are required to fit together in a certain way...
s and one on the application of mathematical logic
Mathematical logic
Mathematical logic is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic. The field includes both the mathematical study of logic and the applications of formal logic to other areas of mathematics...
to geometry.
He has given the Porter lectures at Rice University
Rice University
William Marsh Rice University, commonly referred to as Rice University or Rice, is a private research university located on a heavily wooded campus in Houston, Texas, United States...
(2000), the Jankowski memorial lecture of the Polish Academy of Sciences
Polish Academy of Sciences
The Polish Academy of Sciences, headquartered in Warsaw, is one of two Polish institutions having the nature of an academy of sciences.-History:...
(2000), the Zabrodsky Memorial lecture at Hebrew University (2001), the Cairns lectures at University of Illinois at Urbana-Champaign
University of Illinois at Urbana-Champaign
The University of Illinois at Urbana–Champaign is a large public research-intensive university in the state of Illinois, United States. It is the flagship campus of the University of Illinois system...
(2002), the Marker lectures in Mathematics at Penn State University (2003), the Lewis Lectures at Rutgers University
Rutgers University
Rutgers, The State University of New Jersey , is the largest institution for higher education in New Jersey, United States. It was originally chartered as Queen's College in 1766. It is the eighth-oldest college in the United States and one of the nine Colonial colleges founded before the American...
(2004), the Blumenthal Lectures at Tel Aviv University
Tel Aviv University
Tel Aviv University is a public university located in Ramat Aviv, Tel Aviv, Israel. With nearly 30,000 students, TAU is Israel's largest university.-History:...
(2005), the Hardy Lectures of the London Mathematical Society
London Mathematical Society
-See also:* American Mathematical Society* Edinburgh Mathematical Society* European Mathematical Society* List of Mathematical Societies* Council for the Mathematical Sciences* BCS-FACS Specialist Group-External links:* * *...
(2008), and the William Benter Lecture at the City University of Hong Kong (2010). In addition he has given invited lectures at the International Congress of Mathematicians
International Congress of Mathematicians
The International Congress of Mathematicians is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union ....
in Zürich
Zürich
Zurich is the largest city in Switzerland and the capital of the canton of Zurich. It is located in central Switzerland at the northwestern tip of Lake Zurich...
(1994), a mini-symposium at the European Congress of Mathematics
European Congress of Mathematics
The European Congress of Mathematics is an international congress of the mathematics community, held every four years. Its objectives are "to present various new aspects of pure and applied mathematics to a wide audience, to be a forum for discussion of the relationship between mathematics and...
(2008), the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
(1989), and the Association for Symbolic Logic
Association for Symbolic Logic
The Association for Symbolic Logic is an international organization of specialists in mathematical logic and philosophical logic—the largest such organization in the world. The ASL was founded in 1936, a crucial year in the development of modern logic, and its first president was Alonzo Church...
(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, VVictor BangertVictor Bangert is Professor of Mathematics at the Mathematisches Institut in Freiburg, Germany. His main interests are differential geometry and dynamical systems theory.-Publications:...
; Katz, M.Mikhail KatzMikhail Katz is an Israeli mathematician, a professor of mathematics at Bar Ilan University. His main interests are differential geometry and geometric topology; he is the author of a book about systolic geometry....
; Shnider, S.Steve ShniderSteve Shnider is professor of mathematics at Bar Ilan University.He received a PhD in Mathematics from Harvard University in 1972, under Shlomo Sternberg....
; 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, Discrete & Computational 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.