M.S., Novosibirsk University, USSR, 1983
Ph.D., Novosibirsk University, USSR, 1987
I am interested primarily in applications of logic – specifically, model theory – to real analytic geometry, geometric measure theory, asymptotic analysis and questions of differentiability and analyticity of real functions. My research involves studying sets and functions that are definable in "well-behaved'' (e.g., o-minimal) first-order structures on the field of real numbers. Determining which structures should be regarded as well behaved is part of the job.
- Peterzil, Ya'acov; Starchenko, Sergei Complex analytic geometry and analytic-geometric categories. J. Reine Angew. Math. 626 (2009), 39--74.
- Peterzil, Ya'acov; Starchenko, Sergei Mild manifolds and a non-standard Riemann existence theorem. Selecta Math. (N.S.) 14 (2009), no. 2, 275--298.
- Starchenko, Sergei On the tomography theorem by P. Schapira. Model theory with applications to algebra and analysis. Vol. 1, 283--291, London Math. Soc. Lecture Note Ser., 349, Cambridge Univ. Press, Cambridge, 2008.
- Moosa, Rahim; Starchenko, Sergei $K$-analytic versus ccm-analytic sets in nonstandard compact complex manifolds. Fund. Math. 198 (2008), no. 2, 139--148.
If you have access to MathSciNet you can see a complete list of publications.