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Karel
PRAVDA-STAROV
Department of Mathematics
Office : MS 5634 |
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I am an Hedrick Assistant Professor in the Department of Mathematics at the
University of California, Los Angeles. The subject of my research deals with
semiclassical and microlocal analysis.
Teaching
Math 113, Lecture 2, Fall 2007,
Math 2, Lecture 1, Winter 2008,
Math 3B, Lecture 2, Winter 2008,
Math 133, Lecture 1, Spring 2008.
Quelques
documents en français
Mon
cv,
mon rapport d'activité
et un résumé
de ma thèse.
My PhD
thesis
I
have defended my PhD thesis at the University of Rennes 1, France in June
12th, 2006, under the directorship of Nicolas LERNER
.My PhD thesis is entitled "Etude du pseudo-spectre d'opérateurs non
auto-adjoints”, ps,
pdf.
Publications
1) A general result about the
pseudo-spectrum of Schrödinger operators, Proc. R. Soc. Lond. A , (2004) 460, 471-477,
ps, pdf.
2) A complete study of the
pseudo-spectrum for the rotated harmonic oscillator, J. London Math. Soc., (2) 73 (2006), 745-761,
ps, pdf.
3) Etude du pseudo-spectre d'opérateurs non
auto-adjoints, PhD Thesis, University of Rennes 1, France (2006), ps,
pdf.
4) Boundary
pseudospectral behaviour for semi-classical operators in one
dimension,
Int. Math. Res. Notices, (2007) Vol. 2007, article ID rnm029, 31 pages, doi:10.1093/imrn/rnm029 published on Jun 17, 2007,
ps, pdf.
5) Sur le pseudo-spectre de
certaines classes d'opérateurs pseudo-différentiels non auto-adjoints,
Séminaire : Équations aux Dérivées
Partielles, 2006-2007, Exp. No. XV, 33 p.,
École Polytechnique, Palaiseau, ps, pdf.
6) Explicit examples of
nonsolvable weakly hyperbolic operators with real coefficients, Bull. Braz. Math. Soc., 38 (3) (2007), 397-425, ps, pdf.
7) Contraction semigroups
of elliptic quadratic differential operators,
Mathematische Zeitschrift, 259 (2) (2008), 363-391, ps, pdf.
8) Pseudo-spectrum for a
class of semi-classical operators, (2007) accepted for publication in the
Bulletin de la SMF,
ps, pdf.
9) On the pseudospectrum
of elliptic quadratic differential operators, (2007) accepted for publication in
Duke Mathematical Journal,
pdf.
10) Spectra and semigroup smoothing
for non-elliptic quadratic operators, (with
Michael Hitrik
), (2007) paper submitted,
pdf.
My PhD
thesis
I
have defended my PhD thesis at the University of Rennes 1, France in June
12th, 2006, under the directorship of Nicolas LERNER
.My PhD thesis is entitled "Etude du pseudo-spectre d'opérateurs non
auto-adjoints”, ps,
pdf.
Publications
1) A general result about the
pseudo-spectrum of Schrödinger operators, Proc. R. Soc. Lond. A , (2004) 460, 471-477,
ps, pdf.
2) A complete study of the
pseudo-spectrum for the rotated harmonic oscillator, J. London Math. Soc., (2) 73 (2006), 745-761,
ps, pdf.
3) Etude du pseudo-spectre d'opérateurs non
auto-adjoints, PhD Thesis, University of Rennes 1, France (2006), ps,
pdf.
4) Boundary
pseudospectral behaviour for semi-classical operators in one
dimension,
Int. Math. Res. Notices, (2007) Vol. 2007, article ID rnm029, 31 pages, doi:10.1093/imrn/rnm029 published on Jun 17, 2007,
ps, pdf.
5) Sur le pseudo-spectre de
certaines classes d'opérateurs pseudo-différentiels non auto-adjoints,
Séminaire : Équations aux Dérivées
Partielles, 2006-2007, Exp. No. XV, 33 p.,
École Polytechnique, Palaiseau, ps, pdf.
6) Explicit examples of
nonsolvable weakly hyperbolic operators with real coefficients, Bull. Braz. Math. Soc., 38 (3) (2007), 397-425, ps, pdf.
7) Contraction semigroups
of elliptic quadratic differential operators,
Mathematische Zeitschrift, 259 (2) (2008), 363-391, ps, pdf.
8) Pseudo-spectrum for a
class of semi-classical operators, (2007) accepted for publication in the
Bulletin de la SMF,
ps, pdf.
9) On the pseudospectrum
of elliptic quadratic differential operators, (2007) accepted for publication in
Duke Mathematical Journal,
pdf.
10) Spectra and semigroup smoothing
for non-elliptic quadratic operators, (with
Michael Hitrik
), (2007) paper submitted,
pdf.