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Richard Lawrence Taylor, Teoría De Números, Formas Automórficas, La Conjetura Local De Langlands

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Richard Lawrence Taylor, Teoría De Números, Formas Automórficas, La Conjetura Local De Langlands MATEMÁTICOS ACTUALES Richard Lawrence Taylor, Teoría de números, formas automórficas, la conjetura local de Langlands Los padres de Richard Taylor son John Clayton Taylor y Gillian Mary Schofield. John Taylor es físico matemático, ahora profesor emérito de física matemática en la Universidad de Cambridge. La madre de Richard, Mary Taylor, era profesora de piano. Richard nació en Cambridge pero, cuando tenía dos años, la familia se mudó a Oxford, donde Richard fue criado y donde asistió a la escuela primaria. Asistió a la Magdalen College School donde Tony Middleton le enseñó matemáticas, quien más tarde se convirtió en profesor de matemáticas para la física en el Brasenose College de la Universidad de Oxford. Taylor dijo [Referencia 12]: Sospecho que me interesé por las matemáticas en edad muy temprana. Mi padre es físico teórico. Siempre hubo una cultura de la ciencia matemática en la familia. No recuerdo exactamente, pero ciertamente cuando era adolescen- te me interesaban las matemáticas. Simplemente disfruté leyendo libros recreativos sobre matemáticas, tratando de resolver problemas matemáticos y descubriendo matemáticas más avanzadas. No había nada que me pareciera particularmente interesante. Supongo que ya en la escuela secundaria estaba claro que yo era mejor que la mayoría de los otros niños en matemáticas. También escribió sobre sus primeras experiencias de matemáticas en [Referencia 11]: Aunque nunca fuí una estrella en ellas, disfruté mucho de las Olimpiadas matemáticas, que me sirvieron de primera experiencia de trabajar en problemas que me llevarían más de unos minutos resolver. Pero la mayor influencia en mi desarrollo científico temprano fue, sin duda, mi padre, quien me enseñó que nunca debía estar satisfecho hasta que realmente hubiera entendido algo completamente. También aprendí de él a no temer hacer preguntas simples. Después de completar sus estudios escolares en la Magdalen College School, Taylor regresó a Cambridge, donde se matriculó en el Clare College en 1980. Trabajó duro en sus estudios matemáticos pero también encontró tiempo para otros intereses. 1 Fue presidente de 'The Archimedeans' en 1981 y 1982. Esta es una sociedad matemática de Cambridge fundada en 1935 que tiene como objetivo promover la cooperación entre todas las sociedades matemáticas de Cambridge. También le gustaba viajar, particularmente a lugares donde podía disfrutar de su amor por el montañismo. Visitó los Alpes, el Himalaya indio y más tarde los volcanes de Ecuador y la gran cordillera de Karakoram. Fue la teoría de números la que más lo atrajo entre los temas matemáticos que estudió. Él escribió [Referencia 11]: También me quedó claro que la teoría de números era el campo que me pareció más emocionante. Me atrajo la combinación de problemas simples, una estructura hermosa y la variedad de técnicas que se emplearon. Él era. sin embargo, algo inseguro de sus propias habilidades [Referencia 12]: ... a medida que avanzas, siempre te estás mezclando con personas que tienen más talento en matemáticas. Nunca está claro si uno tiene un talento real o simplemente parece talentoso en el grupo con el que se está mezclando actualmente. Realmente disfruto las matemáticas. Creo que el gran interés en las matemáticas y la determinación de perseverar representan más de lo que la gente suele dar crédito. Si se está muy interesado en trabajar en problemas matemáticos, generalmente es bueno en eso, y creo que esto puede compensar una buena cantidad de talento matemático. Ciertamente, he conocido personas que son matemáticos mucho más brillantes que yo, pero si han pensado en un problema durante dos días y no pueden resolverlo, se aburren y quieren seguir adelante. Taylor se graduó de la Universidad de Cambridge en 1984 y, después de algunas dudas sobre si era lo suficientemente bueno como para emprender una investigación en un área tan exigente como la teoría de números, decidió que realizaría estudios de posgrado en Princeton en los Estados Unidos. Allí eligió trabajar con Andrew Wiles, quien había ocupado un puesto en el Instituto de Estudios Avanzados de Princeton en 1981, y luego fue nombrado profesor en la Universidad de Princeton al año siguiente. Taylor pasó cuatro años en Princeton 1984-88, tiempo durante el cual realizó investigaciones para un doctorado aconsejado por Wiles. Taylor recibió su Ph.D. en 1988 por su tesis sobre congruencias entre formas modulares. En 1989 aparecieron dos documentos provenientes del trabajo de su tesis, a saber, las representaciones sobre Galois asociadas a las formas mo- dulares de Hilbert y las representaciones de grupos de Galois asociados a las formas modulares de Hilbert. Después de graduarse de Princeton, Taylor se convirtió en miembro del Clare College, Cambridge y de la Royal Society European Exchange Fellowship financió un año postdoctoral 1988-89 en el Institut des Hautes Études Scientifiques en las afueras de París. Una de las principales atracciones de regresar a la Universidad de 2 Cambridge fue el hecho de que John Coates, quien había sido el asesor de tesis de Andrew Wiles en Cambridge en la década de 1970, había sido nombrado para la Cátedra Sadleiriana de Matemáticas en Cambridge en 1986. Taylor, todavía miembro de Clare College, fue nombrado profesor asistente (1989-92), profesor (1992-94), luego lector (1994-95) en la Universidad de Cambridge durante los seis años 1989-95. Taylor se mudó a Oxford en 1995 cuando fue nombrado profesor de geometría Savilian. El anuncio fue el siguiente: La cátedra Savilian de Geometría, Richard Lawrence Taylor, FRS (MA Cambridge, Ph.D. Princeton), Reader in Number Theory, University of Cambridge, ha sido nombrada para la cátedra con efecto desde el 1 de octubre de 1995. El Dr. Taylor será miembro de Nueva universidad. Taylor se casó con Christine Jiayou Chang en 1995. Christine Chang, que era algebrista, se graduó de la Universidad de Harvard y, en 1993, recibió una beca de posgrado de NSF para estudiar en el Instituto de Tecnología de Massachusetts. Taylor escribió en [Referencia 11]: En 1994 tuve la maravillosa suerte de conocer a Christine Chang, quien hizo mi vida mucho más feliz. Nos casamos en agosto de 1995 y ahora tenemos dos hijos: Jeremy (nacido en 1998) y Chloe (nacido en 2000). ... En un esfuerzo por combinar nuestras dos carreras científicas, abandoné la Universidad de Cambridge después de mi matrimonio con Christine, primero para la cátedra de geometría Savilian en Oxford y luego un año después para la Universidad de Harvard. Como explica en la cita anterior, después de solo un año en Oxford, Taylor se mudó a los Estados Unidos cuando fue nombrado profesor en la Universidad de Harvard. Explicó las razones de su desplazamiento en la entrevista [Referencia 12] que dio poco después de llegar a Harvard para ocupar la cátedra: Creo que recibí la oferta formal de Harvard en la primavera de 1996, del decano, pero obviamente habíamos hablado al respecto con la facultad [en Harvard] durante algún tiempo antes de eso. Una razón personal fuerte es que mi esposa es estadounidense y me gustaría estar en Estados Unidos. También es un gran departamento. Como digo, es difícil imaginar una mejor colección de colegas en mi materia que la que hay aquí. Por todo lo que se cuenta, los estudiantes aquí son muy brillantes. Realmente no tengo experiencia personal, pero estoy seguro de que es cierto. De hecho, la visité durante seis meses hace un par de años, y una cosa que me gusta es el sol. De alguna manera en Gran Bretaña durante la mitad del año, está extraordinariamente oscuro. Eso es en parte porque está más al norte y en parte porque hay más nubosidad. He oído a gente quejarse de que en invierno hace frío aquí, pero al menos ves el sol. Y me gusta la energía; La gente aquí es muy enérgica y entusiasta. Algo que noté es que en Gran Bretaña es genial fingir que nunca haces ningún trabajo. Los estudiantes allí obviamente trabajan porque aprenden lo mismo que cualquier otra persona, pero les gusta fingir que no hacen nada. Mientras que aquí en los Estados Unidos la gente de Princeton venía a mí y me decía que habían pasado las últimas veinticuatro horas en la biblioteca. Aquí, pues, parecen fingir que trabajan más duro de lo que lo hacen. Sospecho que las personas trabajan igual en ambos lugares; es solo que le ponen al trabajo distinto brillo. En 2002, Taylor fue nombrado profesor de Matemáticas Herchel Smith en Harvard. Continuó desempeñando este papel durante los siguientes diez años. Desde agosto de 2010 hasta diciembre de 2011, fue visitante en el Instituto de Estudios Avanzados de Princeton. En enero de 2012, dejó su puesto en Harvard para ser 3 nombrado Profesor de Matemáticas Robert y Luisa Fernholz en el Instituto de Estudios Avanzados de Princeton. Taylor se unió al Departamento de Matemáticas de la Facultad de Humanidades y Ciencias de la Universidad de Stanford en julio de 2018 cuando fue nombrado nuevo profesor Barbara Kimball Browning. Esta silla dotada es el honor más alto que la Universidad de Stanford puede otorgar a un miembro de la facultad. Para ver la respuesta de Taylor a la pregunta de 1996, "¿Cuáles son sus principales intereses y logros de investigación?", Vea el artículo “Research interests and achievements”, al final de esta biografía. Para comprender las contribuciones sobresalientes que Taylor ha seguido haciendo, primero enumeramos los premios y reconocimientos que ha ganado y luego damos la cita para algunos de estos. Estos premios incluyen: Premio Whitehead de la London Mathematical Society (1990); el Premio Ostrowski (2001); el Premio Fermat (2001); la Sociedad Americana de Matemáticas, Premio Frank Nelson Cole en teoría de números (2002); el Premio Dannie Heineman de la Academia de Ciencias de Gotinga (2005); el Premio Shaw en Matemáticas (2007); Premio Clay Research (2007); y el Premio Breakthrough in Mathematics (2015).
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