{"id":2447,"date":"2025-04-23T10:13:16","date_gmt":"2025-04-23T16:13:16","guid":{"rendered":"https:\/\/www.anc.cr\/?page_id=2447"},"modified":"2025-04-23T10:13:17","modified_gmt":"2025-04-23T16:13:17","slug":"joseph-c-varilly","status":"publish","type":"page","link":"https:\/\/www.anc.cr\/en\/joseph-c-varilly\/","title":{"rendered":"Joseph C. Varilly \u00a0\u00a0\u00a0"},"content":{"rendered":"<p><\/p>\n\n\n\n<div class=\"wp-block-columns alignwide are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-47c06fe3 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<h3 class=\"wp-block-heading has-x-large-font-size\"><strong><strong>Joseph C. Varilly \u00a0\u00a0\u00a0<\/strong><\/strong><\/h3>\n\n\n\n<p>Acad\u00e9mico Correspondiente<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Catedr\u00e1tico, Escuela de Matem\u00e1tica, Universidad de Costa Rica.<\/li>\n\n\n\n<li>B. Sc. en Ciencias Matem\u00e1ticas y M. Sc. en Matem\u00e1ticas. University College, Dublin (1972-73).<\/li>\n\n\n\n<li>Ph. D. en Matem\u00e1tica. University of Rochester. USA (1980).<\/li>\n\n\n\n<li>Catedr\u00e1tico, Escuela de Matem\u00e1tica, Universidad de Costa Rica.<\/li>\n\n\n\n<li>Profesor Visitante. CINVESTAV del IPN. M\u00e9xico (1991).<\/li>\n\n\n\n<li>Miembro Asociado del International Centre for Theoretical Physics, Trieste. Italia (1998-2005).<\/li>\n\n\n\n<li>Profesor Visitante, Universidad de Varsovia, Polonia (2005).<\/li>\n\n\n\n<li>Visitante Distinguido. Universidad Complutense de Madrid, Esparta (2007).<\/li>\n\n\n\n<li>Subdirector del CIMM. Universidad de Costa Rica, 2012-2015.\u00a0<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\"><figure style=\"width:500px;height:500px;\" class=\"wp-block-post-featured-image\"><img decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/www.anc.cr\/wp-content\/uploads\/2024\/07\/image-36.png\" class=\"attachment-post-thumbnail size-post-thumbnail wp-post-image\" alt=\"\" style=\"height:500px;object-fit:cover;\" srcset=\"https:\/\/www.anc.cr\/wp-content\/uploads\/2024\/07\/image-36.png 400w, https:\/\/www.anc.cr\/wp-content\/uploads\/2024\/07\/image-36-300x300.png 300w, https:\/\/www.anc.cr\/wp-content\/uploads\/2024\/07\/image-36-150x150.png 150w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/figure><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>Para su tesis doctoral, Joseph C. Varilly estudi\u00f3 ciertos problemas de la mec\u00e1nica estad\u00edstica cu\u00e1ntica Posteriormente, trabaj\u00f3 con la mec\u00e1nica cu\u00e1ntica en espacios de fases (1985-1995). A partir de 1992, hizo investigaciones en la geometr\u00eda no conmutativa, tanto en sus aplicaciones en la f\u00edsica de part\u00edculas como en sus aspectos matem\u00e1ticos estructurales. En a\u00f1os recientes, ha colaborado en diversos estudios en la qu\u00edmica cu\u00e1ntica y en la teor\u00eda cu\u00e1ntica de campos. Adem\u00e1s, es autor de un texto elemental de geometr\u00eda plana y de dos libros sobre la geometr\u00eda no conmutativa.&nbsp;<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Publicaciones m\u00e1s notables:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Algebras ofdistributionssu\u00fcablefor phase-space quantum mechanics. Journal of Mathemat- ical Physics 29, 869-879 (1988). Con Jos\u00e9 M. Gracia-Bond\u00eda.<\/li>\n\n\n\n<li>The Moyal representation for spin. Annals of Physics 190. 107-148 (1989). Con Jos\u00e9 M. Gracia-Bond\u00eda.<\/li>\n\n\n\n<li>The Standard Model as a noncommutative geometry: the low energy regime. Physics Reports 294. 363-406 (1998). Con Jos\u00e9 M. Gracia-Bond\u00eda y Carmelo P. Mart\u00edn.<\/li>\n\n\n\n<li>Elements of Noncommutative Geometry, Birkh\u00e1user, Boston, 2001. Con Jos\u00e9 M. Gracia- Bond\u00eda y H\u00e9ctor Figueroa.<\/li>\n\n\n\n<li>The Dirac operator on SUq(2), Communications in Mathematical Physics 259. 729-759 (2005). Con Ludwik Djjbrowski, Giovanni Landi. Andrzej Sitarz y Waltervan Suijlekom.<\/li>\n\n\n\n<li>Introduction to Noncommutative Geometry. EMS Publishing House, ZUrich, 2006.<\/li>\n\n\n\n<li>Density functional theory on phase space. International Journal of Quantum Chemistry 112. 1134-1164 (2012). Con Philippe Blanchard y Jos\u00e9 M. Gracia-Bond\u00eda.<\/li>\n\n\n\n<li>Riemannian manifolds in noncommutative geometry. Journal of Geometry and Physics 62, 1611-1638 (2012). Con Steven Lord y Adam Rennie.<\/li>\n\n\n\n<li>Elementos de geometr\u00eda plana, segunda edici\u00f3n. Editorial de la UCR, San Jos\u00e9, 2014.<\/li>\n\n\n\n<li>Improved Epstein-Glaser renormalization in x-space versus differential renormalization, Nuclear Physics B 886, 824-869 (2014). Con Jos\u00e9 M. Gracia-Bond\u00eda y Heidy Guti\u00e9rrez.<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Joseph C. Varilly \u00a0\u00a0\u00a0 Acad\u00e9mico Correspondiente Para su tesis doctoral, Joseph C. Varilly estudi\u00f3 ciertos problemas de la mec\u00e1nica estad\u00edstica cu\u00e1ntica Posteriormente, trabaj\u00f3 con la mec\u00e1nica cu\u00e1ntica en espacios de fases (1985-1995). A partir de 1992, hizo investigaciones en la geometr\u00eda no conmutativa, tanto en sus aplicaciones en la f\u00edsica de part\u00edculas como en sus [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":627,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2447","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Joseph C. Varilly \u00a0\u00a0\u00a0 - ANC<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.anc.cr\/en\/joseph-c-varilly\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Joseph C. 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