Curriculum vitae of Julia Viro (Drobotukhina)

Born:

January 11, 1966 in Leningrad, USSR.

Studies:

1983--1988 at the Department of Mathematics and Mechanics, Leningrad State University, USSR.

1988--1991 Graduate study at Leningrad branch of the Steklov Mathematical Institute.

Degrees:

Master Degree in Mathematics, June 1988, from the Department of Mathematics and Mechanics, Leningrad State University, USSR.

Ph.D. in Mathematics (Candidate of Phis.-Math. Sci.) from the Department of Mathematics and Mechanics, Leningrad State University. Ph.D. Thesis "Links in $ \mathbb{R}P^3$ " written under supervision of professor Vladimir Turaev.

Positions:

1992--1994 Visiting scholar at Mathematics Department, University of California, Riverside.

1995--2000 Timlärare i matematik at Mathematics Department, Uppsala University.

2000--2001 Adjunkt i matematik at Mathematics Department, Uppsala University.

2001--   Lektor i matematik at Mathematics Department, Uppsala University.

Research Interests:

Low-dimensional topology and knot theory, links in the projective space,
rigid isotopy of projective configurations, real algebraic links, Vassiliev invariants.

Publications:

  1. An analogue of the Jones polynomial for links in $ \mathbb{R}P^3$ and generalization of the Kauffman-Murasugi theorem by Ju. V. Drobotukhina, Leningrad Math. J. vol. 2 (1991), No. 3, 613 - 630.
  2. Classification of projective Montesinos links by Ju. V. Drobotukhina, St. Petersburg Math. J. vol. 3 (1992), No. 1, 97 - 107.
  3. Classification of links in $ \mathbb{R}P^3$ with at most six crossings   by Julia Drobotukhina, Advances in Soviet Mathematics vol. 18 (1994), No. 1, 87 - 121.
  4. Configurations of skew lines, by Julia Viro (Drobotukhina) and Oleg Viro, Revision (2000) of the paper published in Leningrad Math. J. vol. 1 (1990), No. 4, 1027 - 1050.
  5. Linking number in a projective space as the degree of a map, by Julia Viro, Journal of Knot Theorey and Its Ramifications, Vol. 16, No. 4 (2007) 489 - 497.
  6. Lines and circles joining components of a link, by Julia Viro, preprint arXiv:math.GT/0511527
  7. Lines joining components of a link, by Julia Viro, submitted to Geometry and Topology.

Teaching:

Since 1995, I taught the following courses at Natural Science and Engineering programs: Trigonometry for Everybody (a summer course), Mathemetics and Statistics, Basic Algebra , Algebra, Linear Algebra, Linear Algebra for Honor Class, Advanced Algebra, One-Variable Calculus, Multi-Variable Calculus, Complex Analysis, Ordinary Differential Equations, Fourier Analysis, Transformations Methods.