Biography:Shmuel Weinberger
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.[1] Weinberger was, from 1994 to 1996, the Thomas A. Scott Professor of Mathematics at the University of Pennsylvania,[2] and he is currently the Andrew MacLeish Professor of Mathematics and chair of the Mathematics department at the University of Chicago.[3]
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 a book 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), the William Benter Lecture at the City University of Hong Kong (2010), the Clifford Lectures at Tulane University (2012), the Minerva Lectures at Princeton University (2017) and the Abraham Robinson lecture at Yale (2019). 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), the Canadian Mathematical Society (2006), the Association for Symbolic Logic (2001), and Pembroke Pines Charter High School (2021).
In 2012, he was elected to the first class of AMS fellows.[4] In 2013, he was elected as a fellow of AAAS.[5]
Selected publications
- Books
- {{cite book
| last1=Weinberger | first1=Shmuel | url=http://www.press.uchicago.edu/ucp/books/book/chicago/T/bo3625837.html | title=The topological classification of stratified spaces | series=Chicago Lectures in Mathematics | publisher=University of Chicago Press, Chicago, IL
- Weinberger, Shmuel (2005). Computers, rigidity, and moduli. The large-scale fractal geometry of Riemannian moduli space. M. B. Porter Lectures. Princeton University Press, Princeton, NJ. doi:10.2307/j.ctv17db3tj. https://books.google.com/books?id=CtvmQiuOKSEC.[6]
- Research articles
- Attie, Oliver; Block, Jonathan; Weinberger, Shmuel (1992). "Characteristic classes and distortion of diffeomorphisms". Journal of the American Mathematical Society 5 (4): 919–921. doi:10.1090/S0894-0347-1992-1145336-8.
- "[math]\displaystyle{ E_7 }[/math], Wirtinger inequalities, Cayley 4-form, and homotopy". Duke Mathematical Journal 146 (1): 35–70. 2009. doi:10.1215/00127094-2008-061.
- Block, Jonathan; Weinberger, Shmuel (1992). "Aperiodic tilings, positive scalar curvature and amenability of spaces". Journal of the American Mathematical Society 5 (4): 907–918. doi:10.1090/S0894-0347-1992-1145337-X.
- Bryant, John Logan; Ferry, Steven C.; Mio, Washington; Weinberger, Shmuel (1996). "Topology of homology manifolds". Annals of Mathematics 143 (3): 435–467. doi:10.2307/2118532.
- Davis, James F.; Weinberger, Shmuel (1986). "Group actions on homology spheres". Inventiones Mathematicae 86 (2): 209–231. doi:10.1007/BF01389069. Bibcode: 1986InMat..86..209D.
- Dranishnikov, Alexander N.; Ferry, Steven C.; Weinberger, Shmuel (2003). "Large Riemannian manifolds which are flexible". Annals of Mathematics 157 (3): 919–938. doi:10.4007/annals.2003.157.919.
- Farber, Michael; Weinberger, Shmuel (2001). "On the zero-in-the-spectrum conjecture". Annals of Mathematics 154 (1): 139–154. doi:10.2307/3062113.
- Ferry, Steven C.; Weinberger, Shmuel (1991). "Curvature, tangentiality, and controlled topology". Inventiones Mathematicae 105 (2): 401–414. doi:10.1007/BF01232272. Bibcode: 1991InMat.105..401F.
- Manevitz, Larry M.; Weinberger, Shmuel (1996). "Discrete circle actions: a note using non-standard analysis". Israel Journal of Mathematics 94: 147–155. doi:10.1007/BF02762701.
- Farb, Benson; Weinberger, Shmuel (2008). "Isometries, rigidity and universal covers". Annals of Mathematics 168 (3): 915–940. doi:10.4007/annals.2008.168.915.
- Niyogi, Partha (2008). "Finding the homology of submanifolds with high confidence from random samples". Discrete & Computational Geometry 39 (1–3): 419–441. doi:10.1007/s00454-008-9053-2.
- Niyogi, Partha (2011). "A topological view of unsupervised learning from noisy data". SIAM Journal on Computing 40 (3): 646–663. doi:10.1137/090762932.
- Weinberger, Shmuel (2004). "On the topological social choice model". Journal of Economic Theory 115 (2): 377–384. doi:10.1016/S0022-0531(03)00257-6.
- Chambers, Gregory R.; Dotterrer, Dominic; Manin, Fedor; Weinberger, Shmuel (2018). "Quantitative nullcobordism". Journal of the American Mathematical Society 31 (4): 1165–1203. doi:10.1090/jams/903.
References
- ↑ Shmuel Weinberger at the Mathematics Genealogy Project
- ↑ Thomas A. Scott Professorship of Mathematics
- ↑ "People | Department of Mathematics | The University of Chicago". https://mathematics.uchicago.edu/people/.
- ↑ List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
- ↑ "AAAS Council Elects 388 New AAAS Fellows | American Association for the Advancement of Science". https://www.aaas.org/news/aaas-council-elects-388-new-aaas-fellows.
- ↑ Karaali, Gizem (28 May 2005). "Review of Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of Riemannian Moduli Space by Shmuel Weinberger". http://www.maa.org/publications/maa-reviews/computers-rigidity-and-moduli-the-large-scale-fractal-geometry-of-riemannian-moduli-space.
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