Marianna Csornyei (University College, London)

Marianna Csornyei was born on October 8, 1975 in Budapest, Hungary and attended the prestigious Mihaly Fazekas High School (the school from which M. Laczkovich, Laszlo Lovasz, and many other highly regarded research mathematicians graduated) from 1990 to 1994. Her talent for mathematics was clear very early. As a second year student at Lorand Eotvos University she won the Schweitzer Competition. As a third year student she began research level mathematics under the supervision of Gy. Petruska, Department of Analysis. She earned her Ph.D. under Petruska's supervision in 1999, six months after earning her undergraduate degree. Dr. Csornyei has been a Visiting Researcher at several research institutions, including: Isaac Newton Institute, Cambridge; University of Jyvaskyla, Finland, and the University of North Texas, Denton. She is presently a Postdoctoral Fellow at University College, London.In two short years she has raised international attention by settling several outstanding problems. These include:

  1. A characterization of absolutely continuous functions of several variables
  2. A proof of the equivalence of Aronszajn zero, cube zero, Haar zero and Gauss zero sets inseparable Banach spaces.
  3. A solution of the Gorelik principle problem by finding counterexamples in finite dimensionalspaces.
  4. A solution of the scaling problem for Hausdorff measures.
  5. A solution of Mattila's problem on invisible sets and a far reaching generalization of Davies' theorem