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Katz studied, with Sarnak among others, the connection of the eigenvalue distribution of large random matrices of classical groups to the distribution of the distances of the zeros of various
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p-adic L functions, Serre-Tate local moduli and ratios of solutions of differential equations
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From 1968 to 1969, he was a NATO Postdoctoral Fellow, from 1975 to 1976 and from 1987–1988
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Convolution and equidistribution: Sato-Tate theorems for finite-field Mellin transforms.
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and zeta functions in algebraic geometry. He also studied trigonometric sums (
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19:"Nicholas Katz" redirects here. For the Argentine footballer, see
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Moments, Monodromy, and
Perversity. A Diophantine Perspective.
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Moments, Monodromy, and
Perversity. A Diophantine Perspective
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Members of the United States
National Academy of Sciences
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Random
Matrices, Frobenius Eigenvalues, and Monodromy.
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He played a significant role as a sounding-board for
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Gauss sums, Kloosterman sums, and monodromy groups.
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452:when Wiles was developing in secret his proof of
309:. He is currently a professor of Mathematics at
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556:Annals of Mathematical Studies, Princeton 2012.
534:Annals of Mathematical Studies, Princeton 2002.
508:Annals of Mathematical Studies, Princeton 1996.
493:Annals of Mathematical Studies, Princeton 1988.
435:Bulletin of the American Mathematical Society
497:Exponential sums and differential equations.
400:The regularity theorem in algebraic geometry
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367:. While in France, he adapted methods of
78:Learn how and when to remove this message
168:Grothendieck–Katz p-curvature conjecture
41:This article includes a list of general
441:. In 2023 he received from the AMS the
282:(born December 7, 1943) is an American
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591:Zeroes of zeta functions and symmetry
565:Arithmetic Moduli of elliptic curves.
415:American Academy of Arts and Sciences
798:21st-century American mathematicians
793:20th-century American mathematicians
615:editors of the Annals of Mathematics
437:. Since 2004 he is an editor of the
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578:AMS Colloquium publications 1998,
474:) with algebro-geometric methods.
47:it lacks sufficient corresponding
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733:Nick Katz's web page in Princeton
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413:Since 2003 he is a member of the
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778:Johns Hopkins University alumni
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813:Paris-Saclay University people
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421:. In 2003 he was awarded with
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773:Baltimore City College alumni
728:Mathematics Genealogy Project
693:Bull. Amer. Math. Soc. (N.S.)
666:10.1090/s0273-0979-08-01203-2
653:Bull. Amer. Math. Soc. (N.S.)
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431:American Mathematical Society
313:and an editor of the journal
788:Princeton University faculty
479:Katz–Lang finiteness theorem
463:was one of Katz's students.
419:National Academy of Sciences
361:Institute for Advanced Study
159:Katz–Lang finiteness theorem
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783:Princeton University alumni
680:Kowalski, Emmanuel (2014).
501:Manuscript with corrections
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173:Overconvergent modular form
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818:21st-century American Jews
768:Jewish American scientists
626:Leroy P. Steele Prize 2023
445:for Lifetime Achievement.
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532:-functions and Monodromy.
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146:Johns Hopkins University
345:University of Minnesota
62:more precise citations.
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390:and from 1971 to 1972
16:American mathematician
808:People from Baltimore
803:Fermat's Last Theorem
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454:Fermat's Last Theorem
443:Leroy P. Steele Prize
439:Annals of Mathematics
316:Annals of Mathematics
280:Nicholas Michael Katz
202:Leroy P. Steele Prize
192:Guggenheim Fellowship
113:Nicholas Michael Katz
758:Arithmetic geometers
646:by Nicholas M. Katz"
589:With Peter Sarnak: "
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506:Rigid Local Systems.
456:. Mathematician and
427:Levi L. Conant Prize
394:. In 1970 he was an
333:Princeton University
327:Katz graduated from
311:Princeton University
230:Princeton University
197:Levi L. Conant Prize
149:Princeton University
595:Bulletin of the AMS
417:and since 2004 the
349:University of Kyoto
331:(BA 1964) and from
288:arithmetic geometry
177:p-adic modular form
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477:He introduced the
290:, particularly on
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388:Guggenheim Fellow
375:to the theory of
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210:Scientific career
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226:Institutions
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21:Nicolás Katz
748:1943 births
686:by N. Katz"
561:Barry Mazur
220:Mathematics
60:introducing
742:Categories
602:References
584:0821810170
546:0691123306
472:Gauss sums
268:Will Sawin
264:Chris Hall
260:Mark Kisin
119:1943-12-07
43:references
724:Nick Katz
682:"Review:
642:"Review:
398:in Nice (
299:monodromy
130:Baltimore
94:Nick Katz
640:(2009).
512:Twisted
485:Writings
404:Helsinki
363:and the
353:Paris VI
134:Maryland
726:at the
429:of the
199:(2003)
194:(1975)
189:(1970)
56:improve
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359:, the
347:, the
305:, and
216:Fields
204:(2023)
183:Awards
45:, but
689:(PDF)
649:(PDF)
570:With
559:With
580:ISBN
542:ISBN
425:the
371:and
365:IHES
301:and
136:, US
109:Born
701:doi
661:doi
593:".
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