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Julia Karpeshina
Professor
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E-mail
karpeshi@uab.edu
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Julia Karpeshina
Professor
Positions
Professor (P)
,
Mathematics
,
College of Arts and Sciences
Publications
Research
Teaching
Background
Contact
Publications
Selected Publications
Academic Article
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Year
Title
Altmetric
2019
Extended states for the schrodinger operator with quasi-periodic potential in dimension two
.
Memoirs of the American Mathematical Society
. 258:1-152.
2019
2017
Ballistic Transport for the Schrödinger Operator with Limit-Periodic or Quasi-Periodic Potential in Dimension Two
.
Communications in Mathematical Physics
. 354:85-113.
2017
2017
Solutions of Nonlinear Polyharmonic Equation with Periodic Potential
2017
2013
Spectral properties of a limit-periodic Schrödinger operator in dimension two
2013
2013
Multiscale analysis in momentum space for quasi-periodic potential in dimension two
.
Journal of Mathematical Physics
. 54.
2013
2012
Extended states for polyharmonic operators with quasi-periodic potentials in dimension two
.
Journal of Mathematical Physics
. 53.
2012
2009
On the schrödinger operator with limit-periodic potential in dimension two
.
Operator Theory Advances and Applications
. 186:257-265.
2009
2008
Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two
.
Communications in Partial Differential Equations
. 33:1711-1728.
2008
2007
Spectral properties of polyharmonic operators with limit-periodic potential in dimension two
2007
2006
On polyharmonic operators with limit-periodic potential in dimension two
2006
2004
Spectral properties of the periodic magnetic Schrödinger operator in the high-energy region. Two-dimensional case
.
Communications in Mathematical Physics
. 251:473-514.
2004
1986
Zero radius interaction for the biharmonic and polyharmonic equations
1986
1983
Spectrum and eigenfunctions of the Schrödinger operator in three-dimensional space with point potential of the type of a homogeneous two-dimensional lattice
.
Theoretical and Mathematical Physics
. 57:1231-1238.
1983
1983
Spectrum and eigenfunctions of Schrödinger operator with zero-range potential of homogeneous lattice type in three-dimensional space
.
Theoretical and Mathematical Physics
. 57:1156-1162.
1983
Research
Principal Investigator On
Doctoral Fellowships in Applied Mathematics at the University of Alabama at Birmingham
awarded by
Department of Education
Iterative Methods in Analysis of Periodic and Almost Periodic Structures in Quantum Mechanics
awarded by
NSF - National Science Foundation
Spectral Properties of Multidimensional Quasi-Periodic Schroedinger Operators
awarded by
NSF - National Science Foundation
Spectral and Transport Properties of Multidimensional Almost-Periodic Schroedinger Operators
awarded by
NSF - National Science Foundation
Teaching
Teaching Activities
MA126 - Calculus II (Spring Term 2010)
MA227 - Calculus III (Spring Term 2009)
MA227 - Calculus III (Spring Term 2014)
MA227 - Calculus III (Spring Term 2018)
MA252 - Intro Differential Equations (Fall Term 2011)
MA260 - Intro to Linear Algebra (Fall Term 2009)
MA260 - Intro to Linear Algebra (Fall Term 2022)
MA260 - Intro to Linear Algebra (Spring Term 2010)
MA260 - Intro to Linear Algebra (Spring Term 2014)
MA260 - Intro to Linear Algebra (Spring Term 2018)
MA260 - Intro to Linear Algebra (Spring Term 2022)
MA434 - Algebra I: Linear (Fall Term 2008)
MA434 - Algebra I: Linear (Fall Term 2021)
MA485 - Probability (Fall Term 2020)
MA485 - Probability (Spring Term 2017)
MA485 - Probability (Spring Term 2020)
MA485 - Probability (Spring Term 2022)
MA534 - Algebra I: Linear (Fall Term 2008)
MA585 - Intro to Probability (Fall Term 2020)
MA585 - Intro to Probability (Spring Term 2017)
MA631 - Linear Algebra (Fall Term 2013)
MA631 - Linear Algebra (Fall Term 2014)
MA631 - Linear Algebra (Fall Term 2017)
MA631 - Linear Algebra (Fall Term 2018)
MA645 - Real Analysis I (Fall Term 2007)
MA645 - Real Analysis I (Fall Term 2011)
MA645 - Real Analysis I (Fall Term 2015)
MA645 - Real Analysis I (Fall Term 2020)
MA645 - Real Analysis I (Fall Term 2022)
MA646 - Real Analysis II (Spring Term 2008)
MA646 - Real Analysis II (Spring Term 2012)
MA646 - Real Analysis II (Spring Term 2021)
MA646 - Real Analysis II (Spring Term 2023)
MA648 - Complex Analysis (Fall Term 2010)
MA648 - Complex Analysis (Fall Term 2012)
MA655 - Partial Differential Equations (Spring Term 2015)
MA692 - Special Topics in Mathematics (Fall Term 2018)
MA692 - Special Topics in Mathematics (Summer Term 2021)
MA693 - Special Topics in Mathematics (Fall Term 2015)
MA693 - Special Topics in Mathematics (Fall Term 2018)
MA695 - Special Topics in Mathematics (Summer Term 2018)
MA792 - Special Topics in Mathematics (Fall Term 2015)
MA792 - Special Topics in Mathematics (Fall Term 2018)
MA792 - Special Topics in Mathematics (Summer Term 2013)
MA792 - Special Topics in Mathematics (Summer Term 2015)
MA793 - Special Topics in Mathematics (Fall Term 2018)
MA794 - Special Topics in Mathematics (Spring Term 2008)
MA795 - Special Topics in Mathematics (Fall Term 2012)
MA796 - Special Topics in Mathematics (Fall Term 2012)
MA796 - Special Topics in Mathematics (Summer Term 2012)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2007)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2008)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2013)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2014)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2019)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2020)
MA798 - Non-Diss Research/Comp Prep (Fall Term 2021)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2008)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2009)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2014)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2015)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2020)
MA798 - Non-Diss Research/Comp Prep (Spring Term 2021)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2008)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2014)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2019)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2020)
MA798 - Non-Diss Research/Comp Prep (Summer Term 2021)
MA799 - Dissertation Research (Fall Term 2009)
MA799 - Dissertation Research (Fall Term 2015)
MA799 - Dissertation Research (Fall Term 2020)
MA799 - Dissertation Research (Spring Term 2010)
MA799 - Dissertation Research (Spring Term 2016)
MA799 - Dissertation Research (Spring Term 2021)
MA799 - Dissertation Research (Spring Term 2022)
MA799 - Dissertation Research (Summer Term 2009)
MA799 - Dissertation Research (Summer Term 2010)
MA799 - Dissertation Research (Summer Term 2015)
MA799 - Dissertation Research (Summer Term 2016)
MA799 - Dissertation Research (Summer Term 2022)
Background
Education And Training
Doctor of Philosophy in Mathematics,
Saint-Petersburg State University
1984
Contact
Full Name
Julia
Karpeshina
