235:(MSJ) in 1987. He was also awarded Publication Prize of MSJ in 2013, the Hiroshi Fujiwara Prize for Mathematical Sciences in 2017, the Prize for Science and Technology (the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology) in 2018, and the 1st Kodaira Kunihiko Prize in 2019.
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179:(1991–1993), and at Tohoku University (1993–2003). Sunada was involved in the creation of the School of Interdisciplinary Mathematical Sciences at Meiji University and is its first dean (2013–2017). Since 2019, he is President of Mathematics Education Society of Japan.
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in the context of dynamical systems (1988). One can see, in this work as well as the one above, how the concepts and ideas in totally different fields (geometry, dynamical systems, and number theory) are put together to formulate problems and to produce new results.
207:, discrete geometric analysis, and mathematical crystallography. Among his numerous contributions, the most famous one is a general construction of isospectral manifolds (1985), which is based on his geometric model of
171:. He is also distinguished professor of emeritus at Meiji in recognition of achievement over the course of an academic career. Before he joined Meiji University in 2003, he was professor of mathematics at
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crystal and the diamond crystal as networks in space are examples of “standard realizations”, the notion introduced by Sunada and Motoko Kotani as a graph-theoretic version of
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2018 Prize for
Science and Technology (the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology)
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when they constructed a counterexample for Kac's problem. For this work, Sunada was awarded the
Iyanaga Prize of the
250:, a discrete analogue of periodic magnetic Schrödinger operators as well as the large time asymptotic behaviors of
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J. Noguchi and T. Sunada, Finiteness of the family of rational and meromorphic mappings into algebraic varieties,
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302:-edge. This property is shared only by the diamond crystal (the strong isotropy should not be confused with the
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and author of many books and essays on mathematics and mathematical sciences. He is professor emeritus of both
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on crystal lattices. The study of random walk led him to the discovery of a "mathematical twin" of the
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M. Kotani and T. Sunada, Albanese maps and an off diagonal long time asymptotic for the heat kernel,
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380:
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T. Sunada, Unitary representations of fundamental groups and the spectrum of twisted
Laplacians,
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due to its mathematical relevance (see the linked article). What was noticed by him is that the K
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576:, London Mathematical Society Lecture Note Series 436, Cambridge University Press, 2017, 473–513
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His study of discrete geometric analysis includes a graph-theoretic interpretation of
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In a joint work with
Atsushi Katsuda, Sunada also established a geometric analogue of
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crystal out of an infinite universe of hypothetical crystals (2005). He named it the
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569:, Editors: Lizhen Ji, Athanase Papadopoulos, Sumio Yamada, Springer (2017), 457–479
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crystal has the "strong isotropy property", meaning that for any two vertices
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Topological
Crystallography, With a View Towards Discrete Geometric Analysis
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T. Sunada, Holomorphic equivalence problem for bounded
Reinhardt domains,
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518:(ed. by P. Exner, J. P. Keating, P. Kuchment, T. Sunada, A. Teplyaev),
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583:, Editors: S. G. Dani, Athanase Papadopoulos, Springer (2019), 213–304
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A. Katsuda and T. Sunada, Homology and closed geodesics in a compact
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of the crystal net, and for any ordering of the edges adjacent to
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M. Kotani and T. Sunada, Spectral geometry of crystal lattices,
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M. Nishio and T. Sunada, Trace formulae in spectral geometry,
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A. Katsuda and T. Sunada, Closed orbits in homology classes,
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Proceedings of the symposium Groups, graphs and random walks
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T. Sunada, Riemannian coverings and isospectral manifolds,
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is a symmetric graph, but not strongly isotropic). The K
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in From
Riemann to Differential Geometry and Relativity
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T. Sunada, Crystals that nature might miss creating,
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2017 Hiroshi
Fujiwara Prize for Mathematical Sciences
572:T. Sunada, Topics on mathematical crystallography,
532:T. Sunada, Lecture on topological crystallography,
378:T. Sunada, Rigidity of certain harmonic mappings,
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579:T. Sunada, From Euclid to Riemann and beyond,
286:, there is a net-preserving congruence taking
240:Dirichlet's theorem on arithmetic progressions
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610:M. Itoh et al., New metallic carbon crystal,
506:Notices of the American Mathematical Society
215:in "Can one hear the shape of a drum?" (see
599:Meiji U. Homepage (Mathematics Department)
516:Proceedings of Symposia in Pure Mathematics
479:, Birkhauser Verlag, Basel, 1997, 175–196
282:and any ordering of the edges adjacent to
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472:, Springer-Verlag, Tokyo, (1991), 577–585
514:T. Sunada, Discrete geometric analysis,
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485:Communications in Mathematical Physics
565:T. Sunada, Generalized Riemann sums,
668:Tokyo Institute of Technology alumni
653:21st-century Japanese mathematicians
648:20th-century Japanese mathematicians
459:Publications Mathématiques de l'IHÉS
678:Academic staff of Nagoya University
673:Academic staff of Tohoku University
84:2019 the 1st Kodaira Kunihiko Prize
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663:Academic staff of Meiji University
607:, Diamond's chiral chemical cousin
418:-functions and some applications,
16:Japanese mathematician (born 1948)
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593:Atsushi Katsuda and Polly Wee Sy,
219:). Sunada's idea was taken up by
622:Diamond twin, Meiji U. Homepage
425:(1986), Springer-Verlag, 266–284
109:and discrete geometric analysis)
529:, American Mathematical Society
475:T. Sunada, Quantum ergodicity,
435:American Journal of Mathematics
393:American Journal of Mathematics
361:Selected publications by Sunada
298:-edge to the similarly ordered
596:, An overview of Sunada's work
1:
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233:Mathematical Society of Japan
71:Mathematical Society of Japan
57:Tokyo Institute of Technology
534:Japan Journal of Mathematics
420:Lecture Notes in Mathematics
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217:Hearing the shape of a drum
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41:1948 (age 75–76)
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189:complex analytic geometry
157:, born September 7, 1948)
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527:A Mathematical Gift, III
525:K. Shiga and T. Sunada,
496:Contemporary Mathematics
381:Inventiones Mathematicae
333:For his work, see also
312:primitive cubic lattice
581:in Geometry in History
69:1987 Iyanaga Award of
405:Annals of Mathematics
369:Mathematische Annalen
187:Sunada's work covers
477:Trend in Mathematics
310:; for instance, the
248:Ihara zeta functions
175:(1988–1991), at the
546:, Springer, 2013,
343:Ihara zeta function
177:University of Tokyo
658:Japanese geometers
470:Proc. ICM-90 Kyoto
351:quantum ergodicity
328:algebraic geometry
560:978-4-431-54177-6
552:978-4-431-54176-9
306:or the notion of
304:edge-transitivity
221:Carolyn S. Gordon
197:dynamical systems
193:spectral geometry
173:Nagoya University
169:Tohoku University
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126:Tohoku University
118:Nagoya University
107:Spectral geometry
93:Scientific career
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612:Phys. Rev. Lett.
339:Reinhardt domain
324:Abel-Jacobi maps
229:Scott A. Wolpert
165:Meiji University
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154:Sunada Toshikazu
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142:Toshikazu Sunada
130:Meiji University
122:Tokyo University
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23:Toshikazu Sunada
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501:(2003), 271–305
491:(2000), 633–670
453:(1989), 125–132
441:(1988), 145–156
430:Riemann surface
411:(1985), 169–186
399:(1982), 887–900
387:(1979), 297–307
375:(1978), 111–128
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308:symmetric graph
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114:Institutions
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638:1948 births
542:T. Sunada,
414:T. Sunada,
335:Isospectral
252:random walk
201:probability
103:Mathematics
632:Categories
588:References
225:David Webb
294:and each
183:Main work
562:(online)
554:(print)
447:Topology
213:Mark Kac
264:crystal
256:diamond
47:, Japan
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227:, and
99:Fields
63:Awards
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148:砂田 利一
45:Tokyo
556:ISBN
548:ISBN
423:1201
274:and
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38:Born
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