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Karen Uhlenbeck ? Wikipedia ti?ng Vi?t B??c t?i n?i dung

Karen Uhlenbeck

Bach khoa toan th? m? Wikipedia
Karen Uhlenbeck
Uhlenbeck n?m 1982
Sinh 24 thang 8, 1942 (81 tu?i)
Cleveland , Ohio , Hoa K?
Qu?c t?ch Hoa K?
H?c v? Brandeis University ( Doctor of Philosophy )
đ?i h?c Michigan ( BA )
đ?i h?c New York
N?i ti?ng vi Calculus of variations
Phan tich hinh h?c
Minimal surface
Yang?Mills theory
Ph?i ng?u Olke C. Uhlenbeck
Gi?i th??ng MacArthur Fellowship
Noether Lecture (1988)
Huan ch??ng Khoa h?c Qu?c gia (2000)
Gi?i Leroy P. Steele (2007)
Gi?i Abel (2019)
S? nghi?p khoa h?c
Nganh Nha toan h?c
N?i cong tac đ?i h?c Texas t?i Austin
đ?i h?c Chicago
University of Illinois at Chicago
University of Illinois at Urbana?Champaign
Ng??i h??ng d?n lu?n an ti?n s? Richard Palais
?nh h??ng b?i Khau Thanh đ?ng

Karen Keskulla Uhlenbeck (sinh ngay 24 thang 8 n?m 1942) la m?t nha toan h?c ng??i M?. Ba la giao s? danh d? mon toan t?i đ?i h?c Texas ? Austin , n?i ba gi? ch?c Ch? t?ch Regents c?a Sid W. Richardson Foundation. [1] [2] [3] Ba hi?n la c?ng tac vien c?a Vi?n Nghien c?u Cao c?p va la h?c gi? nghien c?u cao c?p t?i đ?i h?c Princeton . [4]

Uhlenbeck đa gianh gi?i Abel n?m 2019 cho "nh?ng thanh t?u tien phong c?a ba v? ph??ng trinh vi phan t?ng ph?n hinh h?c, ly thuy?t may đo va h? th?ng tich h?p va cho tac đ?ng c? b?n c?a cac nghien c?u c?a ba đ?i v?i gi?i tich , hinh h?c va v?t ly toan h?c ." [5] Ba la ng??i ph? n? đ?u tien gianh gi?i th??ng nay. [6]

Cu?c đ?i va s? nghi?p [ s?a | s?a ma ngu?n ]

H? c?a Uhlenbeck, Keskulla, đ?n t? Keskkula va t? ong minh la ng??i Estonia . [7] Uhlenbeck nh?n b?ng c? nhan (1964) t? đ?i h?c Michigan . [1] [3] Ba b?t đ?u nghien c?u sau đ?i h?c t?i Vi?n Khoa h?c Toan h?c Courant t?i đ?i h?c New York va k?t hon v?i nha sinh ly h?c Olke C. Uhlenbeck (con trai c?a nha v?t ly George Uhlenbeck ) vao n?m 1965. Khi ch?ng ba đ?n Harvard, ba đa chuy?n đ?n cung ch?ng va b?t đ?u l?i vi?c h?c t?i đ?i h?c Brandeis, va ba co b?ng Th?c s? (1966) va Ph.D. (1968) d??i s? giam sat c?a Richard Palais . [1] [3] Lu?n an ti?n s? c?a ba co t?a đ? la Vi phan bi?n đ?i va phan tich t?ng quan . [8]

Sau khi lam vi?c t?m th?i t?i Vi?n Cong ngh? Massachusetts va đ?i h?c California, Berkeley , va g?p kho kh?n trong vi?c tim ki?m v? tri c? đ?nh v?i ch?ng vi cac quy t?c "ch?ng gia đinh tr?", ma ng?n c?n cac Vi?n khoa h?c va tr??ng đ?i h?c thue c? ch?ng va v? ngay c? trong cac phong ban rieng bi?t c?a m?t tr??ng đ?i h?c, ba đa đ?m nh?n m?t v? tri gi?ng vien t?i đ?i h?c Illinois t?i Urbana-Champaign vao n?m 1971. [9] Tuy nhien, ba khong thich Urbana va chuy?n đ?n đ?i h?c Illinois t?i Chicago n?m 1976. Ba l?i chuy?n đ?n đ?i h?c Chicago vao n?m 1983 va đ?n đ?i h?c Texas t?i Austin v?i t? cach la Ch? t?ch c?a Regents Sid W. Richardson Foundation vao n?m 1988. [1] [2] [3] Uhlenbeck hi?n la giao s? danh d? t?i đ?i h?c Texas ? Austin, [10] m?t c?ng tac vien t?i Vi?n Nghien c?u Cao c?p va la h?c gi? nghien c?u cao c?p t?i đ?i h?c Princeton . [4]

Nghien c?u [ s?a | s?a ma ngu?n ]

Uhlenbeck la m?t trong nh?ng ng??i sang l?p l?nh v?c gi?i tich hinh h?c , m?t nhanh c?a hinh h?c vi phan nh?m nghien c?u nghi?m c?a cac ph??ng trinh vi phan va ng??c l?i. [11] Ba c?ng co nh?ng đong gop vao ly thuy?t tr??ng l??ng t? to po (topological quantum field theory) va cac h? kh? tich (integrable systems). [1] [12]

Cung v?i Jonathan Sacks trong nh?ng n?m đ?u th?p nien 1980, Uhlenbeck đa thi?t l?p len cac ??c l??ng đ?u đ??c ?ng d?ng vao nghien c?u cac k? d? c?a anh x? đi?u hoa va ch?ng minh s? t?n t?i c?a cac nghi?m c?c b? tr?n c?a cac ph??ng trinh Yang?Mills?Higgs trong ly thuy?t chu?n . [EMI] [MIC] [RSY] đ?c bi?t, Donaldson mieu t? bai bao vi?t chung v?i ba n?m 1981 The existence of minimal immersions of 2-spheres [EMI] nh? la m?t "bai bao c?t m?c... ma đa ch?ng t? r?ng, b?ng s? phan tich sau s?c h?n, cac l?p lu?n bi?n phan v?n co th? đ??c s? d?ng đ? ch?ng minh s? t?n t?i k?t qu? t?ng quat" cho cac ph??ng trinh anh x? đi?u hoa. [13]

Xay d?ng tren nh?ng y t??ng nay, Uhlenbeck đa m? đ?u m?t nghien c?u co h? th?ng v? ly thuy?t moduli cho cac m?t c?c ti?u trong cac 3- đa t?p hyperbol (con g?i la ly thuy?t đa t?p con c?c ti?u) trong bai bao n?m 1983 c?a ba, Closed minimal surfaces in hyperbolic 3-manifolds . [14] [CMS]

đ?c bi?t, trong bai vi?t v? kh?o sat hinh h?c Yang-Mills Simon Donaldson đa mieu t? cong trinh c?a ba la c? s? trong khia c?nh gi?i tich phep tinh bi?n phan k?t h?p v?i phi?m ham Yang?Mills. [15] M?t kh?o c?u r?ng h?n cac nghien c?u c?a ba trong l?nh v?c phep tinh bi?n phan đ??c Simon Donaldson cong b? trong thang 3 n?m 2019 tren t?p chi Notices of the American Mathematical Society ; Donaldson mieu t? nghien c?u c?a Uhlenbeck, cung v?i Shing-Tung Yau , Richard Schoen va m?t s? nha toan h?c khac, phat tri?n

toan b? vong tron cac y t??ng va k? thu?t bao ham chi?u c?a cac t?p k? d?, ham monotone, k?t qu? "n?ng l??ng nh?", m?t non ti?p tuy?n, vv. ma đa co tac đ?ng tren ph?m vi l?n trong nhi?u nhanh c?a hinh h?c vi phan trong vai th?p k? qua va t?o nen s? t?p trung c?a nhi?u ho?t đ?ng nghien c?u hi?n t?i. [13]

Tham kh?o [ s?a | s?a ma ngu?n ]

  1. ^ a b c d e O'Connor, John J. ; Robertson, Edmund F. , “Karen Uhlenbeck” , B? l?u tr? l?ch s? toan h?c MacTutor , đ?i h?c St. Andrews
  2. ^ a b “Karen Uhlenbeck” . Agnes Scott College . Chu thich journal c?n |journal= ( tr? giup ) .
  3. ^ a b c d Katterman, Lee (ngay 6 thang 12 n?m 1999). “Michigan Great Karen K. Uhlenbeck: Pioneer in mathematical analysis?and for women mathematicians” . The University Record . University of Michigan. B?n g?c l?u tr? ngay 11 thang 6 n?m 2011 . Truy c?p ngay 19 thang 12 n?m 2014 .
  4. ^ a b Garrand, Danielle (ngay 19 thang 3 n?m 2019). “A woman just won the prize known as "math's Nobel" ? for the first time ever” . CBS News . Truy c?p ngay 19 thang 3 n?m 2019 .
  5. ^ “Citation by the Abel Prize Committee” . The Abel Prize. B?n g?c l?u tr? ngay 12 thang 6 n?m 2019 . Truy c?p ngay 19 thang 3 n?m 2019 .
  6. ^ Chang, Kenneth (ngay 19 thang 3 n?m 2019). “Karen Uhlenbeck Is First Woman to Receive Abel Prize in Mathematics ? Dr. Uhlenbeck helped pioneer geometric analysis, developing techniques now commonly used by many mathematicians” . The New York Times . Truy c?p ngay 19 thang 3 n?m 2019 .
  7. ^ Allyn Jackson (2018). “Interview with Karen Uhlenbeck” . Celebratio Mathematica .
  8. ^ Karen Uhlenbeck t?i D? an Ph? h? Toan h?c
  9. ^ Cooke, Roger (2005). The History of Mathematics: A Brief Course (?n b?n 2.). Hoboken, NJ: Wiley-Interscience. tr.  76 . ISBN   978-0-471-44459-6 .
  10. ^ “Mathematics Emeritus Faculty” . University of Texas at Austin . Truy c?p ngay 19 thang 3 n?m 2019 . [ lien k?t h?ng ]
  11. ^ Klarreich, Erica (ngay 19 thang 3 n?m 2019). “Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize” . Quanta Magazine .
  12. ^ “Karen Uhlenbeck” . Profiles of Women in Mathematics: The Emmy Noether Lectures . Association for Women in Mathematics. B?n g?c l?u tr? ngay 12 thang 1 n?m 2015 . Truy c?p ngay 19 thang 12 n?m 2014 . .
  13. ^ a b Donaldson, Simon (2019). “Karen Uhlenbeck and the Calculus of Variations” (PDF) . Notices of the American Mathematical Society . 66 (3): 303?313. doi : 10.1090/noti1806 . Truy c?p ngay 20 thang 3 n?m 2019 .
  14. ^ Huang, Zheng; Wang, Biao (2017). “Closed Minimal Surfaces in Cusped Hyperbolic three-manifolds” (PDF) . Geometriae Dedicata . 189 (1): 37?57. doi : 10.1007/s10711-016-0215-8 .
  15. ^ Donaldson, Simon K. (2005). “Yang?Mills theory and Geometry” (PDF) .

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