Krystyna Kuperberg

Krystyna Kuperberg, born Trybulec ( born July 17, 1944 in Tarnów ) is an American mathematician of Polish origin.

Her parents, Jan W. and Barbara H. Trybulec, pharmacists with its own pharmacy in Tarnów. Her older brother Andrzej Trybulec, her husband Włodzimierz Kuperberg and her son Greg Kuperberg are also mathematicians. The daughter of Anna Kuperberg is a famous American photojournalist.

At the age of 15 she moved with her parents from Tarnów to Gdansk. In 1962, she first took up the study of philosophy at the University of Warsaw, but later switched to mathematics. Your first mathematics lectures they heard with Andrzej Mostowski; later, she heard topology lectures with Karol Borsuk and was fascinated by this field.

Krystyna Kuperberg became logically the 1966 Master's degree in topology under the direction of Borsuk. In the following years she was on active mainly in topology, besides also in Euclidean geometry, and later in discrete geometry. In 1969, she left Poland with her family first to Sweden, 1972 on the United States to Houston, Texas. Here gained Krystyna Kuperberg 1974 doctorate at Rice University. In the same year came to she and her husband points at Auburn University. The title of full professor, she received in 1984., You also taught at Oklahoma State University ( 1982-83 ), the Courant Institute of Mathematical Sciences of New York University (1987) and in the summer semester 1995 at the University of Paris in Orsay.

In 1987, she released a hitherto open problem of Bronisław Knaster. In the 1980s interest in fixed points and topological aspects of dynamical systems began. In 1993 they constructed a smooth counterexample to the Seifert conjecture that all non - singular continuous vector fields on the 3- sphere have a closed solution curve. Under differentiability lower the presumption was rebutted in 1974 by Paul Schweitzer.

Your work on dynamical systems it is continuing with her son.

Since 1993 she has held more than 50 lectures on the subject, including an extraordinary Plenary Lecture AMS in 1995, a Plenary Lecture MAA in 1996 and a guest lecture as invited speaker at the International Congress of Mathematicians 1998 ( counterexamples to the Seifert conjecture ).

In 1995, Kuperberg the Alfred Jurzykowski price of the Kosciuszko Foundation. In 1996, she received the Research Excellence Award from the College of Sciences and Mathematics Auburn University. She is also active in the American Mathematical Society (AMS ) and the Fellow.

Selected Publications

  • K. Kuperberg, A smooth counterexample to the Seifert conjecture, Ann. of Math (2 ) 140 (1994 ), no 3, 723-732.
  • G. Kuperberg and K. Kuperberg, Generalized counterexamples to the Seifert conjecture, Ann. of Math (2 ) 143 (1996 ), no 3, 547-576.
  • K. Kuperberg aperiodic dynamical systems, Notices AMS, October 1999 ( Noether Lecture ), online