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 " 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:
- An analogue of the Jones polynomial for links in
and generalization of the Kauffman-Murasugi
theorem by Ju. V. Drobotukhina, Leningrad Math. J. vol. 2 (1991), No. 3, 613 - 630.
- Classification of projective Montesinos links
by Ju. V. Drobotukhina,
St. Petersburg Math. J. vol. 3 (1992), No. 1, 97 - 107.
- Classification of links in with at most six crossings
by Julia Drobotukhina,
Advances in Soviet Mathematics vol. 18 (1994), No. 1, 87 - 121.
- 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.
- 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.
- Lines and circles joining components of a link,
by Julia Viro, preprint
arXiv:math.GT/0511527
- 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.