Dennis Sullivan, Premio Abel 2022
Hoy se ha anunciado la concesión del Pemio Abel 2022 al matemático Dennis Parnell Sullivan, profesor de la Universidad de Stony Brook y de la City University of New York.
La Academia Noruega de las Ciencias y la Letras, reconoce en su citación «sus innovadoras contribuciones a la topología en su sentido más amplio, y en particular a sus aspectos algebraicos, geométricos y dinámicos».
Denis Sullivan es un reconocido topólogo, nacido el 12 de febrero de 1941 en Port Huron (Michigan), pro criado en Houston (Texas), en donde fue a la escuela. Su intención primera fue el estudio de la Química en la Universidad de Rice, pero cambió su interés por las matemáticas, que le parecieron mucho más apasionantes. Así que se licenció en matemáticas en Rice y se trasladó después a Princeton para realizar su tesis doctoral. Allí su director fue el afamado topólogo William Browder. Su tesis, titulada Triangulating Homotopy Equivalences, fue defendida con éxito en 1966 y premiada con el premio Oscar Veblen e Geometría en 1971.
Tras su tesis doctoral, Sullivan realizó estancias postdoctorales, primero en la Universidad de Warwick (Inglaterra), luego en Berkeley, y en 1969 en el Instituto Tecnológico de Massachusetts (MIT). En 1970 publicó su obra Geometric topology: localization, periodicity and Galois symmetry, un conjunto de notas que siguen teniendo gran actualidad. En ellas introducía la noción de localización y compleción de espacios topológicos en la teoría de la homotopía. Esas notas, las MIT notes, fueron copiadas una y otra vez por inumerables matemáticos, hasta que se publicaron en forma de libro. Ese mismo año fue invitado al Congreso Internacional de Matemáticos de Niza (Francia).
Sullivan visitó la Universidad de París-Orsay en 1973, y le invitaron a ser investigador permanente del prestigioso Institut des Hautes Études Scientifique, donde se incorporó en 1974. En 1981, fue nombrado titular de la Cátedra Albert Einstein de Ciencias en CUNY (City University de Nueva York), compartiendo este puesto con el de París. Uno de sus intereses en ese tiempo fue el estudio de las relaciones entre la topología algebraica y la teoría cuántica de campos. En 1996 se trasladó definitivamente a Nueva York.
Sus aportaciones en el campo de la topología y la geomería han sido inmensas. En la llamada cirugía de variedades, en la introducción de la homotopía racional, la dinámica conforme y hasta la teoría de cuerdas. Prsonalmente, he utilizado durante mucho tiempo sus resultados sobre modelos minmales para buscar ejemplos y contrajemplos de variedades Kähler, simplécticas y de contacto.
Este trabajo le ha llevado a ser merecedor de importantes galardones, como el Premio Élie Cartan, el Premio Rey Faisal, la Medalla Nacional del Ciencia, el Premio Leroy P. Steele, el Premio Wolf, y ahora el premio Abel.
Como informa la Academia noruega, “la insistente búsqueda de Dennis Sullivan de conocimientos fundamentales y su capacidad para ver analogías entre diversas áreas de las matemáticas y tender puentes entre ellas, ha cambiado para siempre el campo.”
Alex Bellos, en su artículo en la web de la Academia dice:
«La topología y los sistemas dinámicos habitan paisajes matemáticos diferentes. Sin embargo, el trabajo de Sullivan puede considerarse parte de un único y coherente esfuerzo visionario, el estudio de las estructuras geométricas en los espacios, ya sea ese espacio un colector o un fractal. Los amplios intereses de Sullivan y sus profundos conocimientos le han convertido, en palabras de su citación para el Premio Abel, en un verdadero virtuoso.»
______
Manuel de León (CSIC, Fundador del ICMAT, Real Academia de Ciencias, Real Academia Canaria de Ciencias, Real Academia Galega de Ciencias).
[…] Dennis Sullivan, Premio Abel 2022, en Matemáticas y sus Fronteras. […]
https://www.cornbreadhemp.com/products/full-spectrum-cbd-gummies have been a game-changer in requital for me! They’re convenient, mouth-watering, and a extensive direction to take the benefits of CBD discreetly. I’ve set that they help me unwind after a fancy lifetime and even improve my drowse quality. Extra, knowing definitely how much CBD I’m getting in each gummy makes it undemanding to make it my dosage. If you’re curious wide infuriating CBD, gummies are a great starting point. Justifiable be certain to on a reputable manufacturer with high-quality ingredients inasmuch as the defeat observation!
I found the analysis of dennis sullivan, premio abel 2022 particularly insightful. Could be valuable for anyone in this space.
Mia2764
It’s fascinating to see Sullivan’s work connecting topology and dynamics recognized with such a prestigious award. The link between such seemingly disparate fields is really compelling.
w223
El Premio Abel 2022 a Sullivan destaca sus contribuciones en topología geométrica, cuya claridad recuerda la experiencia fluida de Rolling Ball.
The discussion about dennis sullivan, premio abel 2022 raises some really valid points. This perspective is refreshing.
grokaivideo
This is a thoughtful take on dennis sullivan, premio abel 2022. The practical examples really help illustrate the concepts.
er434
This is a thoughtful take on dennis sullivan, premio abel 2022. The practical examples really help illustrate the concepts. If you want a related example, Songonlyone is worth a look.
This is a thoughtful take on dennis sullivan, premio abel 2022. The practical examples really help illustrate the concepts.
happyhorse 2.0
The discussion about dennis sullivan, premio abel 2022 raises some really valid points. This perspective is refreshing.
nanobanana3
This is a thoughtful take on dennis sullivan, premio abel 2022. The practical examples really help illustrate the concepts.
trellis2
The discussion about dennis sullivan, premio abel 2022 raises some really valid points. This perspective is refreshing.
producer ai
This is a thoughtful take on dennis sullivan, premio abel 2022. The practical examples really help illustrate the concepts.
sbti
I found the analysis of dennis sullivan, premio abel 2022 particularly insightful. Could be valuable for anyone in this space.
seedance 2
El Premio Abel 2022 a Dennis Sullivan destaca sus contribuciones a la topología. Su cambio de química a matemáticas en Rice es inspirador. ¿Cómo influyó su formación en química en su enfoque topológico?
The discussion about dennis sullivan, premio abel 2022 raises some really valid points. This perspective is refreshing.
gemini omni flash
The discussion about dennis sullivan, premio abel 2022 raises some really valid points. This perspective is refreshing.
seedance 2
The discussion about dennis sullivan, premio abel 2022 raises some really valid points. This perspective is refreshing.
gpt image 2
“Dennis Sullivan, Premio Abel 2022” deja varias ideas para seguir investigando con calma. En trabajos de documentación, whisperweb.dev me ha servido para transformar audio largo en notas de texto manejables. Muy buen aporte.
I found the analysis of dennis sullivan, premio abel 2022 particularly insightful. Could be valuable for anyone in this space.
gemini omni
This is a thoughtful take on dennis sullivan, premio abel 2022. The practical examples really help illustrate the concepts.
wan 2.7
Every parent should read this! Your real-world advice makes such a difference. I use https://voxcpm.net/ to make audio versions of children’s books — the kids absolutely love the different character voices!
Every parent should read this! Your real-world advice makes such a difference. On a practical note, https://githubproxy.cc/ is a free service I use to speed up downloads — worth knowing about. Appreciate your honesty!
I found the analysis of dennis sullivan, premio abel 2022 particularly insightful. Could be valuable for anyone in this space.
seed audio 1
The discussion about dennis sullivan, premio abel 2022 raises some really valid points. This perspective is refreshing.
omni video
Dennis Sullivan’s Abel Prize is a wonderful reminder of how topology quietly underpins so much of modern mathematics. I was especially struck by the article’s description of the Norwegian Academy’s citation: “sus innovadoras contribuciones a la topología en su sentido más amplio, y en particular a sus aspectos algebraicos, geométricos y dinámicos.” That breadth—spanning algebraic, geometric, and dynamic topology—is exactly what makes Sullivan’s career so distinctive.
The piece also highlights his early shift from chemistry to mathematics at Rice, a decision that clearly paid off. His 1966 thesis, *Triangulating Homotopy Equivalences*, supervised by William Browder, and later his 1970 “MIT notes” on localization, periodicity, and Galois symmetry, became foundational. I find it fascinating that those notes were circulated informally for decades before being published as a book; that kind of underground influence is rare in any discipline.
I was particularly interested in the author’s personal note about using Sullivan’s minimal models to construct examples and counterexamples in Kähler, symplectic, and contact geometry. It shows
By the way, I found some related content on my site that might interest you: https://freak-circus.com
It’s fascinating to learn about Dennis Sullivan’s groundbreaking work in topology, especially how his contributions to the understanding of shape and space have earned him the Abel Prize. I was particularly struck by the mention of his work on geometric topology and its impact on other fields.
happy horse video
It’s fascinating to learn about Dennis Sullivan’s work and how his contributions to topology have been recognized with the Abel Prize. I was particularly struck by the mention of his foundational work in geometric topology, which seems to have opened up so many new avenues of research.
seedance 2
What a fascinating read about Dennis Sullivan’s Abel Prize! I was particularly struck by the mention of his work on the classification of manifolds, which sounds incredibly complex but fundamental to topology. It’s inspiring to see such foundational contributions being recognized.
gemini omni
As someone who regularly checks exchange rates for international transactions, I found it fascinating how Sullivan’s work on algebraic topology and homotopy theory underpins much of the mathematical modeling we rely on in modern finance—just like how I can instantly see the mid-market reference rates on FX Comparison to ensure I’m not overpaying on transfers.
It’s fascinating to learn about Dennis Sullivan’s work, especially how his contributions to topology have been recognized with the Abel Prize. I was particularly struck by the mention of his work on the shape of spaces, which sounds incredibly complex but fundamental to our understanding of geometry.
flux 3
I found the analysis of dennis sullivan, premio abel 2022 particularly insightful. Could be valuable for anyone in this space.
muse image
I found the analysis of dennis sullivan, premio abel 2022 particularly insightful. Could be valuable for anyone in this space.
ww324