31:
199:(1987). From 2004 to 2008 he was Director of Math for America, a private organization that is dedicated to the improvement of college education in mathematics in the United States. He currently lives in New York City. In 2010 he taught at the
167:, where he chaired from 1975 to 1981 the Faculty of Mathematics. From 1991 to 1996, there, he was Dean of the Division of Physical Sciences and Mathematics. Since 2004 he has been Professor Emeritus. He was a visiting professor at the
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Theta constants, Riemann surfaces, and the modular group: an introduction with applications to uniformization theorems, partition identities and combinatorial number theory
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589:"Horocyclic coordinates for Riemann surfaces and moduli spaces. I: TeichmĂĽller and Riemann spaces of Kleinian groups"
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and associated automorphic forms and their applications for example in number theory.
155:(Conformal Structure and Algebraic Structure). After that, he was from 1966 to 1968 a
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From 1972 to 1973 he was a
Guggenheim Fellow. In 2012 he became a fellow of the
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310:, Eds. I. Kra, R. Rodriguez, L. Keen, Amer. Math. Soc., Providence, RI, 2015.
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The original article was a translation of the corresponding German article.
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127:(born January 5, 1937) is an American mathematician, who works on the
30:
248:, climate tech venture capitalist Gabriel Kra, and Douglas Kra.
244:
Irwin Kra has three children. He is the father of mathematician
865:
Massachusetts
Institute of Technology School of Science faculty
659:"Cusp forms associated to rank 2 subgroups of Kleinian groups"
520:"On the vanishing of Poincaré series of rational functions"
322:"On the ring of functions on an open Riemann surface"
746:
List of
Fellows of the American Mathematical Society
855:
Polytechnic
Institute of New York University alumni
106:
96:
75:
65:
40:
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697:Earle, C. J.; Kra, I.; KrushkalŃŚ, S. L. (1994).
291:, Providence, American Mathematical Society 2001
485:"Canonical mappings between TeichmĂĽller spaces"
268:Complex Analysis in the spirit of Lipman Bers
232:in 1998, he published the collected works of
8:
875:Fellows of the American Mathematical Society
699:"Holomorphic motions and TeichmĂĽller spaces"
555:"Accessory parameters for punctured spheres"
410:"A generalization of a theorem of Poincaré"
165:State University of New York at Stony Brook
18:
817:portrait on the sides of Math for America
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623:Farkas, Hershel M.; Kra, Irwin (1999).
302:Automorphic forms and Kleinian Groups
161:Massachusetts Institute of Technology
7:
850:21st-century American mathematicians
845:20th-century American mathematicians
625:"On the quintuple product identity"
147:(bachelor's degree in 1960) and at
308:Lipman Bers, a Life in Mathematics
16:American mathematician (born 1937)
14:
716:10.1090/s0002-9947-1994-1214783-6
676:10.1090/s0002-9939-1991-1056679-1
606:10.1090/s0894-0347-1990-1049503-1
572:10.1090/s0002-9947-1989-0958896-0
427:10.1090/s0002-9939-1971-0301189-7
339:10.1090/s0002-9947-1968-0226043-5
145:Polytechnic Institute of Brooklyn
84:Polytechnic Institute of Brooklyn
450:"Involutions on Kleinian groups"
29:
804:10.1090/s0273-0979-1983-15166-2
537:10.1090/s0273-0979-1983-15085-1
502:10.1090/s0273-0979-1981-14870-9
467:10.1090/s0002-9904-1972-13042-8
357:"Cohomology of Kleinian groups"
296:Crash course on Kleinian Groups
870:Stony Brook University faculty
1:
791:Bull. Amer. Math. Soc. (N.S.)
642:10.1090/S0002-9939-99-04791-7
524:Bull. Amer. Math. Soc. (N.S.)
489:Bull. Amer. Math. Soc. (N.S.)
208:American Mathematical Society
771:board, retrieved 2016-06-24.
448:Kra, I.; Maskit, B. (1972).
294:With Lipman Bers (editors):
221:) and their connection with
175:(where he collaborated with
891:
860:Columbia University alumni
278:, Springer Verlag, 1980,
217:and their moduli spaces (
118:
89:
28:
621:with Hershel M. Farkas:
361:Proc Natl Acad Sci U S A
781:Marden, Albert (1983).
748:, retrieved 2013-01-27.
274:With Hershel M. Farkas
271:, Springer Verlag, 2007
201:Northwestern University
157:C.L.E. Moore instructor
703:Trans. Amer. Math. Soc
559:Trans. Amer. Math. Soc
326:Trans. Amer. Math. Soc
783:"Comparative Review:
695:and S. L. Krushkal´:
663:Proc. Amer. Math. Soc
629:Proc. Amer. Math. Soc
454:Bull. Amer. Math. Soc
414:Proc. Amer. Math. Soc
382:10.1073/pnas.63.3.655
355:Kra, I. (July 1969).
262:With Jane P. Gilman,
181:University of Perugia
787:, by Farkas and Kra"
236:on function theory.
553:Kra, Irwin (1989).
518:Kra, Irwin (1983).
483:Kra, Irwin (1981).
408:Kra, Irwin (1971).
373:1969PNAS...63..655K
149:Columbia University
80:Columbia University
763:2016-08-06 at the
593:J. Amer. Math. Soc
219:TeichmĂĽller spaces
669:: 803–814. 1991.
599:: 499–578. 1990.
332:: 231–244. 1968.
315:Selected articles
264:RubĂ E. RodrĂguez
189:Tohoku University
185:Santiago de Chile
177:Hershel M. Farkas
169:Hebrew University
122:
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91:Scientific career
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276:Riemann Surfaces
240:Family relations
215:Riemann surfaces
193:Fudan University
163:and then at the
133:complex analysis
108:Doctoral advisor
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223:Kleinian groups
143:Kra studied at
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76:Alma mater
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51:January 5, 1937
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57:Krasnosielc,
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282:August 1992
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213:Kra studies
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90:
835:1937 births
693:C. J. Earle
234:Lipman Bers
153:Lipman Bers
113:Lipman Bers
101:Mathematics
66:Nationality
829:Categories
733:References
131:theory in
47:1937-01-05
758:Irwin Kra
530:: 63–66.
444:B. Maskit
246:Bryna Kra
173:Jerusalem
125:Irwin Kra
35:Irwin Kra
23:Irwin Kra
761:Archived
401:16591774
280:2nd edn.
252:Writings
197:Shanghai
129:function
70:American
725:1214783
685:1056679
651:1487364
615:1049503
581:0958896
546:0682823
511:0598682
476:0301190
436:0301189
369:Bibcode
348:0226043
179:), the
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392:223501
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191:, the
187:, the
97:Fields
59:Poland
442:with
257:Books
228:With
397:PMID
41:Born
799:doi
711:doi
707:343
671:doi
667:111
637:doi
633:127
601:doi
567:doi
563:313
532:doi
497:doi
462:doi
422:doi
387:PMC
377:doi
334:doi
330:132
195:in
183:in
171:in
159:at
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
