Kiril Datchev
CLE Moore Instructor and NSF Postdoctoral Fellow
Department of Mathematics
Massachusetts Institute of Technology
Mentor:
Richard Melrose
Office: Building 2, Room 230
Email:
datchev@math.mit.edu
Teaching
In Fall 2012 I am teaching
18.100B Real Analysis
.
In Spring 2013 I am teaching
18.104 Seminar in Analysis
.
Research Interests
Partial differential equations, mathematical physics. Geometric scattering theory and inverse problems, nonlinear evolution equations.
Research Papers
Extending cutoff resolvent estimates via propagation of singularities
. To appear in
Communications in Partial Differential Equations
.
Resonant uniqueness of radial semiclassical Schrödinger operators
, with
Hamid Hezari
.
Applied Mathematics Research Express
, Vol. 2012, No. 1, pp.
105–113
, 2012.
Spectral uniqueness of radial semiclassical Schrödinger operators
, with
Hamid Hezari
and
Ivan Ventura
.
Mathematical Research Letters
, Vol. 18, No. 3, pp.
521–529
, 2011.
Propagation through trapped sets and semiclassical resolvent estimates
, with
András Vasy
. To appear in
Annales de l'Institut Fourier
. See also a short
report
on the result.
Gluing semiclassical resolvent estimates via propagation of singularities
, with
András Vasy
. To appear in
International Mathematics Research Notics
. See also my coauthor's short
report
on the result.
Solitary waves for the Hartree equation with a slowly varying potential
, with
Ivan Ventura
.
Pacific Journal of Mathematics
, Vol. 248, No. 1, pp.
63–90
, 2010.
Fast soliton scattering by attractive delta impurities
, with
Justin Holmer
.
Communications in Partial Differential Equations
, Vol. 34, No. 9, pp.
1074–1113
, 2009.
Local smoothing for scattering manifolds with hyperbolic trapped sets
.
Communications in Mathematical Physics
, Vol. 286, No. 3, pp.
837–850
, 2009.
Expository Papers
Inverse problems in spectral geometry
(with
Hamid Hezari
). To appear in
Inverse Problems and Applications: Inside Out II
.
Introduction to the method of complex scaling
, 2006.
PhD Thesis
Distribution of resonances for manifolds with hyperbolic ends
, May 2010. My thesis advisor was
Maciej Zworski
.