Associate professor, PhD
email: A.M.Budylin (official)
email: budylin@math.nw.ru
Students’ pages are here and here
Directions of research
- Semiclassical asymptotics
- Pseudodifferential equations
- Spectral theory
Basic research papers
- On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions (with Buslaev V.S.)
1986, Soviet Math.Dokl., vol.33, \No 2, p.400-403 . - Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. (With Buslaev V.S.)
1991, Advances in Soviet Math., AMS, Providence, vol. 7, p.107-157 . - Semiclassical asymptotics of the resolvent of the integral convolution operator with the sine-kernel on a finite interval. (With Buslaev V.S.)
1996, St.Petersburg Math.J., vol.7, \No 6, p.925-942 . - Semiclassical pseudodifferential operators with double discontinuous symbols and their application to the problems of quantum statistical physics. (With Buslaev V.S.)
2001, Operator Theory: Advances and Aplications, v.126. - Quasiclassical asymptotics for solutions of the matrix conjugation problem with rapid oscillation of off-diagonal entries. 2014, St. Petersburg mathematical journal, vol. 25, n.2, pp. 205-222.
Teaching
- Lectures «Higher mathematics» for 2nd year students, General stream
- Seminars «Higher mathematics» for 2nd year students
- Seminars «Group theory» for 4th year students (Department of higher mathematics and mathematical physics)
- Lectures «Theory of Lie groups and Lie algebras» for 4th year students (Department of higher mathematics and mathematical physics)
- Seminars «Theory of Lie groups and Lie algebras» for 4th year students (Department of higher mathematics and mathematical physics)
- Seminars «History and methodology of mathematical physics» for 5th year students (Department of higher mathematics and mathematical physics)