Research output per year
Research output per year
Personal profile
Opportunities
Postgraduate Opportunities
I have supervised two MSc students: in 2006 and 2009.
I am currently supervising three PhD students.
Here are some areas I'm working in:
- Iterated function systems, fractals and dimension theory;
- Expansions of real numbers in non-integer bases;
- Bernoulli convolutions and geometric measure theory.
For more detail see my research page. Please also check our School's Admissions page.
Qualifications
Qualifications
My academic qualifications are:- Ph.D. in Mathematics, Steklov Mathematical Institute at St. Petersburg, 1996.
- M.Sc.in Mathematics (Summa cum Laude), St. Petersburg State University, 1992.
My group
Research Group(s)
- Analysis and Dynamical Systems
- Analysis and Dynamical Systems Ergodic Theory
Biography
I am a Lecturer in Pure Mathematics, a member of the Dynamical Systems research group at the School of Mathematics.
My academic qualifications are:
- Ph.D. in Mathematics, Steklov Mathematical Institute at St. Petersburg, 1996.
- M.Sc.in Mathematics (Summa cum Laude), St. Petersburg State University, 1992.
Employment to date:
11/04 – present: Lecturer in Pure Mathematics
11/01 – 11/04: Named Research Associate in the Department of Mathematics at UMIST, Manchester.
11/98 – 11/01: Research Associate in the Department of Mathematics at UMIST, Manchester
09/96 - 07/97: Postdoctoral fellow at the Institut de Mathématiques de Luminy, Marseilles, France.
09/92 - 09/96: Assistant Professor at Baltic State University of Technology, St. Petersburg, Russia.
My academic qualifications are:
- Ph.D. in Mathematics, Steklov Mathematical Institute at St. Petersburg, 1996.
- M.Sc.in Mathematics (Summa cum Laude), St. Petersburg State University, 1992.
Employment to date:
11/04 – present: Lecturer in Pure Mathematics
11/01 – 11/04: Named Research Associate in the Department of Mathematics at UMIST, Manchester.
11/98 – 11/01: Research Associate in the Department of Mathematics at UMIST, Manchester
09/96 - 07/97: Postdoctoral fellow at the Institut de Mathématiques de Luminy, Marseilles, France.
09/92 - 09/96: Assistant Professor at Baltic State University of Technology, St. Petersburg, Russia.
Research interests
I work mostly in Pure Mathematics and share my scientific interests between Dynamical Systems, Number Theory and Fractal Geometry.
More specifically, I'm interested in:
- Iterated function systems and fractals;
- Number systems and Pisot numbers;
- Bernoulli convolutions and other measures of arithmetic nature;
- Dimension theory.
The complete list of my publications (all downloadable) can be found here.
Fingerprint
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Research output
- 25 Article
-
An infinitely generated self-similar set with positive Lebesgue measure and empty interior
Sidorov, N. & Baker, S., 2019, In: Proceedings of the American Mathematical Society. p. 4891-4899 9 p.Research output: Contribution to journal › Article › peer-review
Open Access -
The baker’s map with a convex hole
Clark, L., Hare, K. G. & Sidorov, N., 29 May 2018, In: Nonlinearity. 31, 7, p. 3174-3202Research output: Contribution to journal › Article › peer-review
Open AccessFile54 Downloads (Pure) -
A Lower Bound for the Dimension of Bernoulli Convolutions
Hare, K. G. & Sidorov, N., 2017, In: Experimental Mathematics. p. 1-5 5 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile81 Downloads (Pure) -
Two-dimensional self-affine sets with interior points, and the set of uniqueness
Hare, K. G. & Sidorov, N., Jan 2016, In: Nonlinearity. 29, 1, p. 1-26 25 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile46 Downloads (Pure) -
On a family of self-affine sets: topology, uniqueness, simultaneous expansions
Hare, K. G. & Sidorov, N., 27 Nov 2015, In: Ergodic Theory and Dynamical Systems. 37, 1, p. 1-35 34 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile41 Downloads (Pure)