University of Oklahoma
Mathematics Department
Analysis and Convexity Seminar
Analysis and Convexity Seminar
This semester the
Analysis and Convexity Seminar
meets in room PHSC 1105 on Mondays at 3:30 pm. For more information about the seminar, contact Pengfei Zhang or
Nikola Petrov
.
Spring 2018 Talks
1/28
Organizational meeting
2/12
Meijun Zhu
OU
Semi-linear equations related to scalar curvature - history, results and perspective
2/19
2/26
3/5
3/12
3/26
4/2
4/9
4/16
4/23
4/30
Fall 2017 Talks
8/28
Organizational meeting
9/11
Alejandro Chavez-Dominguez
OU
Isoperimetric and Sobolev inequalities on graphs
9/18
Alejandro Chavez-Dominguez
OU
Magnetic Sobolev inequalities on graphs
9/25
Mathew Gluck
OU
The isoperimetric inequality for scalar-flat domains in the conformal class of the Euclidean metric
10/2
Pengfei Zhang
OU
Dynamical billiards on a planar convex domain - I
10/9
Pengfei Zhang
OU
Dynamical billiards on a planar convex domain - II
10/16
Discussion of Analysis courses for 2018/2019
10/23
Fan Yang
OU
Hitting time statistics and extreme value laws - I
10/30
Fan Yang
OU
Hitting time statistics and extreme value laws - II
11/6,
in PHSC 316
Ben Dodson
Johns Hopkins University
Global results for cubic nonlinear wave equations
(Please note the unusual location!)
11/13
Fan Yang
OU
Hitting time statistics and extreme value laws
11/20
Yuxin Dong
Fudan University
On (H, \tilde{H})-harmonic maps between pseudo-Hermitian manifolds and their applications
11/27
Kyle Scarbrough
OU
Spectral theory of Jacobi operators
12/4
No talk
Spring 2017 Talks
2/20
Organizational meeting
2/27
John Albert
OU
Solitary waves in deep water: a uniqueness result due to Amick and Toland
3/6
John Albert
OU
Frank and Lenzmann's uniqueness proof for ground states of fractional nonlinear Schrodinger equations
3/20
No talk
3/27
Meijun Zhu
OU
Integral equations on bounded domain - I
4/3
Meijun Zhu
OU
Integral equations on bounded domain - II
4/10
No talk
4/17
Alejandro Chavez-Dominguez
OU
The Mazur-Ulam theorem and some of its relatives
4/24
No talk
5/1
No talk
Spring 2016 Talks
8/25
Harry Gingold
West Virginia Univ
Compactification and applications
8/29
Organizational meeting
9/12
Nikola Petrov
OU
An introduction to mathematical methods of dynamics - I
9/19
Nikola Petrov
OU
An introduction to mathematical methods of dynamics - II
9/26
Nikola Petrov
OU
An introduction to mathematical methods of dynamics - III
10/3
Paul Goodey
OU
An invitation to geometric tomography
10/10
Analysis course offerings meeting
10/17
Shihshu Walter Wei
OU
Dualities in differential equations - an invitation to geometric analysis and recent progress - I
10/24
Shihshu Walter Wei
OU
Dualities in differential equations - an invitation to geometric analysis and recent progress - II
10/31
Shihshu Walter Wei
OU
Dualities in differential equations - an invitation to geometric analysis and recent progress - III
11/7
Mathew Gluck
OU
Which drums hit the lowest notes? - I
11/14
Mathew Gluck
OU
Which drums hit the lowest notes? - II
11/21
No talk
11/28
No talk
12/5
No talk
Spring 2016 Talks
1/25
Organizational meeting
2/1
Keri Kornelson
OU
Frames, frame operators, and dual frames
2/8
Fatma Bozkurt
OU
Signal reconstruction from frames and sampling erasures
2/15
Darren Ong
OU
An introduction to spectral theory - I
2/22
Darren Ong
OU
Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices
2/29
Mathew Gluck
OU
Systems of nonlocal elliptic equations with critical Sobolev nonlinearity
3/7
Nikola Petrov
OU
Bifurcation and bistability in population dynamics
3/21
Heather Demarest
OU Philosophy
The Universe had one chance
3/28
Alejandro Chavez-Dominguez
OU
How Hilbertian are you?
4/4
Shihshu Walter Wei
OU
A micro to macro system connection in real and complex geometric analysis with applications - I
4/11
Rabea Link
Universität Heidelberg
An alternative proof for the index theorem of Fredholm operators
4/18
Shihshu Walter Wei
OU
A micro to macro system connection in real and complex geometric analysis with applications - II
4/25
Nikola Petrov
OU
Beautiful oldies: complex analysis and two-dimensional hydrodynamics
5/2
Sean Bauer
OU
On the existence of KAM tori for presymplectic vector fields (Ph.D. thesis defense)
Fall 2015 Talks
8/31
Thomas VandenBoom
Rice University
The density of states and equilibrium measures in the Sodin-Yuditskii regime
9/14
Henrik Thiele
Universität Paderborn
Hamiltonian systems and symplectic Runge Kutta methods
9/21
Henrik Thiele
Universität Paderborn
Hamiltonian systems and symplectic Runge Kutta methods - numerical illustrations
9/28
No talk
10/5
Alejandro Chavez-Dominguez
OU
"Tensor products" between metric spaces and Banach spaces - I
10/12
No talk
10/19
Alejandro Chavez-Dominguez
OU
"Tensor products" between metric spaces and Banach spaces - II
10/26
Mathew Gluck
OU
The extremal problem for the Sobolev inequality - I
11/2
Mathew Gluck
OU
The extremal problem for the Sobolev inequality - II
11/9
Murad Özaydın
OU
An introduction to graph C
^{*}
-algebras
11/16
No talk -
please volunteer for Math Day on Thu, Nov 19
11/23
Oreoluwa Adekoya
OU
Theory of stability of solitary wave solutions associated with the General Korteweg-de-Vries equations
11/30
Paul Goodey
OU
An attempt to shed some light on shadows - I
12/7
Paul Goodey
OU
An attempt to shed some light on shadows - II
Spring 2015 Talks
1/16
(Friday!)
Daniele Garrisi
Inha University, Korea
On the uniqueness of Q-ball solutions to the non-linear Schrodinger equation
1/26
Alexander Grigo
OU
Some illustrations of averaging theorems
2/2
Benito Chen-Charpentier
UT-Arlington
Delay and bifurcation in ordinary differential equations with application to biology
2/9
Chenxu He
OU
Martin compactification of a negatively curved surface
2/16
No talk (job candidate interview)
2/23
Sara Lapan
Northwestern University
Holomorphic dynamics near a fixed point in the complex plane
3/2
Sara Lapan
Northwestern University
Holomorphic dynamics near a fixed point in
C
^{2}
for maps tangent to the identity
3/9
Tianling Jin
University of Chicago
Regularity theory for fully nonlinear integro-differential equations
3/25
(Wednesday!)
Uli Hansmann
OU Chemistry and Biochemistry
Generalized-ensemble sampling of protein folding and aggregation
3/30
Tetyana Malysheva
OU
A coupled chemo-thermo-poroelastic system: well-posedness and approximation for control applications
4/6
Mahesh Sunkula
OU
Hamilton-Jacobi equation and applications to short-wavelength optics
4/15
(Wednesday!)
Yulong Xing
Oak Ridge Lab & U of Tennessee
Energy conserving discontinuous Galerkin methods for the wave propagation problems
4/20
No talk
4/27
Nikola Petrov
OU
History and significance of Maxwell's equations of electrodynamics
Fall 2014 Talks
9/8
Darren Ong
OU
Decaying oscillatory perturbations of periodic Jacobi operators
9/15
Darren Ong
OU
An introduction to spectral theory with applications to mathematical physics
9/22
No talk
9/29
Paul Goodey
OU
Fouriertransforms, orthogonality and integral geometry - I
10/6
Paul Goodey
OU
Fourier transforms, orthogonality and integral geometry - II
10/13
Meiun Zhu
OU
On the extension of Hardy-Littlewood-Sobolev inequality
10/20
No talk
10/27
Keri Kornelson
OU
Dynamical sampling - I
11/3
Keri Kornelson
OU
Dynamical sampling - II
11/14
(Friday!)
Scott Kaschner
University of Arizona
Dynamical degrees, invariant foliations, and measure of maximal entropy
11/17
Talk canceled due to weather
11/24
Estapraq Kahlil
OU
Stability of solutions to a model equation for dispersion managed solitary waves
12/1
Tomasz Przebinda
OU
On the rate of convergence in the Kesten renewal theorem
Spring 2014 Talks
1/27
John Albert
OU
Well-posedness of nonlinear dispersive equations: An introduction
2/3
John Albert
OU
Introduction to well-posedness of nonlinear dispersive equations - II
2/10
No talk
2/17
No talk
2/24
Matthew McBride
OU
Dirac operators on a mirror quantum two-sphere
3/3
Christian Remling
OU
Talk canceled due to weather
3/10
Christian Remling
OU
Foundations 2: Completeness theorems of PC and first order logic
3/24
Christian Remling
OU
Foundations 3
3/31
Howard Baer
OU Physics and Astronomy
What's up with particle physics? From the Higgs to the Superworld
4/4
(Friday!)
Chi-Wang Shu
Brown University
Discontinuous Galerkin method for hyperbolic equations with singularities
4/7
No talk
4/14
Nikola Petrov
OU
Circle maps, lasers, and dynamical Casimir effect
4/21
Abebaw Tadesse
Langston University
Radiation therapy planning - a mathematical perspective
4/28
Dania Sheaib
OU
A slow-fast invitation to geometric singular perturbation theory
Fall 2013 Talks
9/9
John Villavert
OU
Existence criteria for poly-harmonic systems of the Hardy-Littlewood-Sobolev type - I
9/16
John Villavert
OU
Existence criteria for poly-harmonic systems of the Hardy-Littlewood-Sobolev type - II
9/23
John Villavert
OU
Existence criteria for poly-harmonic systems of the Hardy-Littlewood-Sobolev type - III
9/30
Ying Wang
OU
Numerical solutions to hyperbolic conservation laws
10/7
Ying Wang
OU
Numerical solutions to hyperbolic conservation laws - II
10/14
Ying Wang
OU
Numerical solutions to hyperbolic conservation laws - III
10/21
Injo Hur
OU
Schrödinger operators, canonical systems and SL(2,
R
) - I
10/28
Injo Hur
OU
Schrödinger operators, canonical systems and SL(2,
R
) - II
11/4
Nikola Petrov
OU
Shallow water waves and the Korteweg-de Vries equation
11/11
Bryan Archer
OU
Symmetry reduction by lifting
11/18
Susanna Dann
University of Missouri
The Busemann-Petty problem in the complex hyperbolic space
11/25
No talk
12/2
No talk
Spring 2013 Talks
1/28
Ruediger Landes
OU
On a semigroup generated by the heat equation with a nonlinear Neumann boundary condition - I
2/11
Ruediger Landes
OU
On a semigroup generated by the heat equation with a nonlinear Neumann boundary condition - II
2/18
Greg Lyng
University of Wyoming
Stability of viscous detonation waves in Majda's model
2/25
Marta Canadell
Georgia Tech / Universitat de Barcelona
Computation of normally hyperbolic invariant tori: some numerical examples
3/4
Tomasz Przebinda
OU
Weyl calculus and dual pairs
3/11,
in PHSC 115
Weihua Lin
OU
Trinomial-tree distribution of a nonlinear positive stochastic interest rate model with connections to the potential approach and its application to computing corporate default risk
(Note the unusual location!)
3/25
Kevin Grasse
OU
On the notion of convergence in measure for metric-space valued maps
4/1
Kurt Marfurt
OU Geology & Geophysics
The mathematics, use, and challenges in spectral decomposition of seismic data
4/8
Christian Remling
OU
Reflectionless Jacobi matrices
4/15
Kimball Milton
OU Physics and Astronomy
Fun with the quantum vacuum
4/22
Christopher Curtis
University of Colorado
Using conservation laws in nonlinear wave equations
4/29
Nikola Petrov
OU
Turbulence lite
Fall 2012 Talks
8/27
Matthew McBride
OU
D-bar operators on the classical and quantum disk and annulus - I
9/10
Matthew McBride
OU
D-bar operators on the classical and quantum disk and annulus - II
9/17
Alexander Grigo
OU
How to estimate rates of convergence to equilibrium for Markov processes - I
9/24
Alexander Grigo
OU
How to estimate rates of convergence to equilibrium for Markov processes - II
10/1
Alexander Grigo
OU
How to estimate rates of convergence to equilibrium for Markov processes - III
10/8
Santosh Bhattarai
OU
Two-parameter family of solitary waves of an NLS-KdV system
10/15
Tetyana Malysheva
OU
Linear contraction semigroups and their application to initial boundary value problems for PDEs
10/22
Paul Goodey
OU
Spherical integration and geometric tomography - I
10/29
Paul Goodey
OU
Spherical integration and geometric tomography - II
11/5
Nikola Petrov
OU
Geometry of dimensional reduction of invariant objects
11/12, 4:30, Nielsen Hall 270
Wu-Yi Hsiang
University of California, Berkeley
Symmetry and the principle of least action
11/19
Abebaw Tadesse
Langston University
Applications of weighted composition operators to compact composition operators and the Brennan's conjecture
11/26
Dania Sheaib
OU
Mathematical and computational models for population and epidemic studies
12/3
Analysis search meeting
Spring 2012 Talks
1/23
Erin Pearse
OU
Exploring networks with random walks: a tale of two (nongeodesic) metrics
1/30
No talk
2/6
Changzheng Qu
Ningbo University, China
Invariant geometric flows and integrable systems
2/13
Paul Goodey
OU
The Minkowski-Christoffel curvature problems and sums of sections - I
2/20
Paul Goodey
OU
The Minkowski-Christoffel curvature problems and sums of section - II
2/27
Shihshu Walter Wei
OU
Curvature, Comparison Theorems, integral inequalities, and Physics
3/5
Shihshu Walter Wei
OU
Curvature, Comparison Theorems, monotonicity formulas, and Nonlinear Analysis
3/12
Meijun Zhu
OU
Hardy-Littlewood-Sobolev inequality and Poincare conjectures
3/26
Meijun Zhu
OU
On some singular integral operators on the upper half space theorem
4/3
No talk
4/9
Dmitri Scheglov
OU
Billiard complexity
4/16
Meijun Zhu
OU
On an extension of Hardy-Littlewood-Sobolev inequality
4/23
Huy Nguyen
OU
An application of the Brunn-Minkowski theory of convex bodies to the curve shortening flow
Fall 2011 Talks
8/29
Jui-Tang Chen
National Taiwan Normal University
Liouville properties for p-harmonic maps with finite q-energy
9/26
Discussion of Analysis courses for 12/13
10/3
Nguyen S. Hoang
OU
Dynamical Systems method for solving operator equations - I
10/10
Nguyen S. Hoang
OU
Dynamical Systems method for solving operator equations - II
10/17
Nguyen S. Hoang
OU
Dynamical Systems method for solving nonlinear equations with monotone operators
10/24
No talk
10/31
Estapraq Kahlil
OU
Mountain Pass Theorem
11/7
Estapraq Kahlil
OU
Nonlinear Schroedinger Problem
11/14
Daniel Blazevski
University of Texas at Austin
Parallel heat transport in reverse shear magnetic fields
11/20
Keshav Raj Acharya
OU
Spectral analysis and deficiency indices of a canonical system
11/28
Shiyun Tang
OU
Climate and influenza