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
1/28Organizational meeting
2/12Meijun ZhuOUSemi-linear equations related to scalar curvature - history, results and perspective - I
2/19Meijun ZhuOUSemi-linear equations related to scalar curvature - history, results and perspective - II
2/26No talk
3/5No talk
3/12Sawyer J. RobertsonOUBoundary value problems and Green’s functions on magnetic graphs
3/26No talk
4/2No talk
4/9No talk
4/16No talk
4/23Connor DavisOUFast-slow systems through examples
4/30John AlbertOUConcentration compactness and multisolitons

Fall 2017 Talks
8/28Organizational meeting
9/11Alejandro Chavez-DominguezOUIsoperimetric and Sobolev inequalities on graphs
9/18Alejandro Chavez-DominguezOUMagnetic Sobolev inequalities on graphs
9/25Mathew GluckOUThe isoperimetric inequality for scalar-flat domains in the conformal class of the Euclidean metric
10/2Pengfei ZhangOUDynamical billiards on a planar convex domain - I
10/9Pengfei ZhangOUDynamical billiards on a planar convex domain - II
10/16Discussion of Analysis courses for 2018/2019
10/23Fan YangOUHitting time statistics and extreme value laws - I
10/30Fan YangOUHitting time statistics and extreme value laws - II
11/6, in PHSC 316Ben DodsonJohns Hopkins UniversityGlobal results for cubic nonlinear wave equations (Please note the unusual location!)
11/13Fan YangOUHitting time statistics and extreme value laws
11/20Yuxin DongFudan UniversityOn (H, \tilde{H})-harmonic maps between pseudo-Hermitian manifolds and their applications
11/27Kyle ScarbroughOUSpectral theory of Jacobi operators
12/4No talk

Spring 2017 Talks
2/20Organizational meeting
2/27John AlbertOUSolitary waves in deep water: a uniqueness result due to Amick and Toland
3/6John AlbertOUFrank and Lenzmann's uniqueness proof for ground states of fractional nonlinear Schrodinger equations
3/20No talk
3/27Meijun ZhuOUIntegral equations on bounded domain - I
4/3Meijun ZhuOUIntegral equations on bounded domain - II
4/10No talk
4/17Alejandro Chavez-DominguezOUThe Mazur-Ulam theorem and some of its relatives
4/24No talk
5/1No talk

Spring 2016 Talks
8/25Harry GingoldWest Virginia UnivCompactification and applications
8/29Organizational meeting
9/12Nikola PetrovOUAn introduction to mathematical methods of dynamics - I
9/19Nikola PetrovOUAn introduction to mathematical methods of dynamics - II
9/26Nikola PetrovOUAn introduction to mathematical methods of dynamics - III
10/3Paul GoodeyOUAn invitation to geometric tomography
10/10Analysis course offerings meeting
10/17Shihshu Walter WeiOUDualities in differential equations - an invitation to geometric analysis and recent progress - I
10/24Shihshu Walter WeiOUDualities in differential equations - an invitation to geometric analysis and recent progress - II
10/31Shihshu Walter WeiOUDualities in differential equations - an invitation to geometric analysis and recent progress - III
11/7Mathew GluckOUWhich drums hit the lowest notes? - I
11/14Mathew GluckOUWhich drums hit the lowest notes? - II
11/21No talk
11/28No talk
12/5No talk

Spring 2016 Talks
1/25Organizational meeting
2/1Keri KornelsonOUFrames, frame operators, and dual frames
2/8Fatma BozkurtOUSignal reconstruction from frames and sampling erasures
2/15Darren OngOUAn introduction to spectral theory - I
2/22Darren OngOUSpreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices
2/29Mathew GluckOUSystems of nonlocal elliptic equations with critical Sobolev nonlinearity
3/7Nikola PetrovOUBifurcation and bistability in population dynamics
3/21Heather DemarestOU PhilosophyThe Universe had one chance
3/28Alejandro Chavez-DominguezOUHow Hilbertian are you?
4/4Shihshu Walter WeiOUA micro to macro system connection in real and complex geometric analysis with applications - I
4/11Rabea LinkUniversität HeidelbergAn alternative proof for the index theorem of Fredholm operators
4/18Shihshu Walter WeiOUA micro to macro system connection in real and complex geometric analysis with applications - II
4/25Nikola PetrovOUBeautiful oldies: complex analysis and two-dimensional hydrodynamics
5/2Sean BauerOUOn the existence of KAM tori for presymplectic vector fields (Ph.D. thesis defense)

Fall 2015 Talks
8/31Thomas VandenBoomRice UniversityThe density of states and equilibrium measures in the Sodin-Yuditskii regime
9/14Henrik ThieleUniversität PaderbornHamiltonian systems and symplectic Runge Kutta methods
9/21Henrik ThieleUniversität PaderbornHamiltonian systems and symplectic Runge Kutta methods - numerical illustrations
9/28No talk
10/5Alejandro Chavez-DominguezOU"Tensor products" between metric spaces and Banach spaces - I
10/12No talk
10/19Alejandro Chavez-DominguezOU"Tensor products" between metric spaces and Banach spaces - II
10/26Mathew GluckOUThe extremal problem for the Sobolev inequality - I
11/2Mathew GluckOUThe extremal problem for the Sobolev inequality - II
11/9Murad ÖzaydınOUAn introduction to graph C*-algebras
11/16No talk - please volunteer for Math Day on Thu, Nov 19
11/23Oreoluwa AdekoyaOUTheory of stability of solitary wave solutions associated with the General Korteweg-de-Vries equations
11/30Paul GoodeyOUAn attempt to shed some light on shadows - I
12/7Paul GoodeyOUAn attempt to shed some light on shadows - II

Spring 2015 Talks
1/16 (Friday!)Daniele GarrisiInha University, KoreaOn the uniqueness of Q-ball solutions to the non-linear Schrodinger equation
1/26Alexander GrigoOUSome illustrations of averaging theorems
2/2Benito Chen-CharpentierUT-ArlingtonDelay and bifurcation in ordinary differential equations with application to biology
2/9Chenxu HeOUMartin compactification of a negatively curved surface
2/16No talk (job candidate interview)
2/23Sara LapanNorthwestern UniversityHolomorphic dynamics near a fixed point in the complex plane
3/2Sara LapanNorthwestern UniversityHolomorphic dynamics near a fixed point in C2 for maps tangent to the identity
3/9Tianling JinUniversity of ChicagoRegularity theory for fully nonlinear integro-differential equations
3/25 (Wednesday!)Uli HansmannOU Chemistry and BiochemistryGeneralized-ensemble sampling of protein folding and aggregation
3/30Tetyana MalyshevaOUA coupled chemo-thermo-poroelastic system: well-posedness and approximation for control applications
4/6Mahesh SunkulaOUHamilton-Jacobi equation and applications to short-wavelength optics
4/15 (Wednesday!)Yulong XingOak Ridge Lab & U of TennesseeEnergy conserving discontinuous Galerkin methods for the wave propagation problems
4/20No talk
4/27Nikola PetrovOUHistory and significance of Maxwell's equations of electrodynamics

Fall 2014 Talks
9/8Darren OngOUDecaying oscillatory perturbations of periodic Jacobi operators
9/15Darren OngOUAn introduction to spectral theory with applications to mathematical physics
9/22No talk
9/29Paul GoodeyOUFouriertransforms, orthogonality and integral geometry - I
10/6Paul GoodeyOUFourier transforms, orthogonality and integral geometry - II
10/13Meiun ZhuOUOn the extension of Hardy-Littlewood-Sobolev inequality
10/20No talk
10/27Keri KornelsonOUDynamical sampling - I
11/3Keri KornelsonOUDynamical sampling - II
11/14 (Friday!)Scott KaschnerUniversity of ArizonaDynamical degrees, invariant foliations, and measure of maximal entropy
11/17Talk canceled due to weather
11/24Estapraq KahlilOUStability of solutions to a model equation for dispersion managed solitary waves
12/1Tomasz PrzebindaOUOn the rate of convergence in the Kesten renewal theorem

Spring 2014 Talks
1/27John AlbertOUWell-posedness of nonlinear dispersive equations: An introduction
2/3John AlbertOUIntroduction to well-posedness of nonlinear dispersive equations - II
2/10No talk
2/17No talk
2/24Matthew McBrideOUDirac operators on a mirror quantum two-sphere
3/3Christian RemlingOUTalk canceled due to weather
3/10Christian RemlingOUFoundations 2: Completeness theorems of PC and first order logic
3/24Christian RemlingOUFoundations 3
3/31Howard BaerOU Physics and AstronomyWhat's up with particle physics? From the Higgs to the Superworld
4/4 (Friday!)Chi-Wang ShuBrown UniversityDiscontinuous Galerkin method for hyperbolic equations with singularities
4/7No talk
4/14Nikola PetrovOUCircle maps, lasers, and dynamical Casimir effect
4/21Abebaw TadesseLangston UniversityRadiation therapy planning - a mathematical perspective
4/28Dania SheaibOUA slow-fast invitation to geometric singular perturbation theory

Fall 2013 Talks
9/9John VillavertOUExistence criteria for poly-harmonic systems of the Hardy-Littlewood-Sobolev type - I
9/16John VillavertOUExistence criteria for poly-harmonic systems of the Hardy-Littlewood-Sobolev type - II
9/23John VillavertOUExistence criteria for poly-harmonic systems of the Hardy-Littlewood-Sobolev type - III
9/30Ying WangOUNumerical solutions to hyperbolic conservation laws
10/7Ying WangOUNumerical solutions to hyperbolic conservation laws - II
10/14Ying WangOUNumerical solutions to hyperbolic conservation laws - III
10/21Injo HurOUSchrödinger operators, canonical systems and SL(2,R) - I
10/28Injo HurOUSchrödinger operators, canonical systems and SL(2,R) - II
11/4Nikola PetrovOUShallow water waves and the Korteweg-de Vries equation
11/11Bryan ArcherOUSymmetry reduction by lifting
11/18Susanna DannUniversity of MissouriThe Busemann-Petty problem in the complex hyperbolic space
11/25No talk
12/2No talk

Spring 2013 Talks
1/28Ruediger LandesOUOn a semigroup generated by the heat equation with a nonlinear Neumann boundary condition - I
2/11Ruediger LandesOUOn a semigroup generated by the heat equation with a nonlinear Neumann boundary condition - II
2/18Greg LyngUniversity of WyomingStability of viscous detonation waves in Majda's model
2/25Marta CanadellGeorgia Tech / Universitat de BarcelonaComputation of normally hyperbolic invariant tori: some numerical examples
3/4 Tomasz PrzebindaOUWeyl calculus and dual pairs
3/11, in PHSC 115Weihua LinOUTrinomial-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!)
3/25Kevin GrasseOUOn the notion of convergence in measure for metric-space valued maps
4/1 Kurt MarfurtOU Geology & GeophysicsThe mathematics, use, and challenges in spectral decomposition of seismic data
4/8 Christian RemlingOUReflectionless Jacobi matrices
4/15Kimball MiltonOU Physics and AstronomyFun with the quantum vacuum
4/22Christopher CurtisUniversity of ColoradoUsing conservation laws in nonlinear wave equations
4/29Nikola PetrovOUTurbulence lite

Fall 2012 Talks
8/27Matthew McBrideOUD-bar operators on the classical and quantum disk and annulus - I
9/10Matthew McBrideOUD-bar operators on the classical and quantum disk and annulus - II
9/17Alexander GrigoOUHow to estimate rates of convergence to equilibrium for Markov processes - I
9/24Alexander GrigoOUHow to estimate rates of convergence to equilibrium for Markov processes - II
10/1Alexander GrigoOUHow to estimate rates of convergence to equilibrium for Markov processes - III
10/8Santosh BhattaraiOUTwo-parameter family of solitary waves of an NLS-KdV system
10/15Tetyana MalyshevaOULinear contraction semigroups and their application to initial boundary value problems for PDEs
10/22Paul GoodeyOUSpherical integration and geometric tomography - I
10/29Paul GoodeyOUSpherical integration and geometric tomography - II
11/5Nikola PetrovOUGeometry of dimensional reduction of invariant objects
11/12, 4:30, Nielsen Hall 270Wu-Yi HsiangUniversity of California, BerkeleySymmetry and the principle of least action
11/19Abebaw TadesseLangston UniversityApplications of weighted composition operators to compact composition operators and the Brennan's conjecture
11/26Dania SheaibOUMathematical and computational models for population and epidemic studies
12/3Analysis search meeting

Spring 2012 Talks
1/23Erin Pearse OUExploring networks with random walks: a tale of two (nongeodesic) metrics
1/30 No talk
2/6 Changzheng Qu Ningbo University, ChinaInvariant geometric flows and integrable systems
2/13Paul GoodeyOUThe Minkowski-Christoffel curvature problems and sums of sections - I
2/20Paul GoodeyOUThe Minkowski-Christoffel curvature problems and sums of section - II
2/27Shihshu Walter WeiOUCurvature, Comparison Theorems, integral inequalities, and Physics
3/5Shihshu Walter WeiOUCurvature, Comparison Theorems, monotonicity formulas, and Nonlinear Analysis
3/12Meijun ZhuOUHardy-Littlewood-Sobolev inequality and Poincare conjectures
3/26Meijun ZhuOU On some singular integral operators on the upper half space theorem
4/3No talk
4/9Dmitri Scheglov OU Billiard complexity
4/16Meijun Zhu OU On an extension of Hardy-Littlewood-Sobolev inequality
4/23Huy Nguyen OU An application of the Brunn-Minkowski theory of convex bodies to the curve shortening flow

Fall 2011 Talks
8/29Jui-Tang Chen National Taiwan Normal UniversityLiouville properties for p-harmonic maps with finite q-energy
9/26 Discussion of Analysis courses for 12/13
10/3Nguyen S. Hoang OUDynamical Systems method for solving operator equations - I
10/10 Nguyen S. Hoang OUDynamical Systems method for solving operator equations - II
10/17Nguyen S. HoangOUDynamical Systems method for solving nonlinear equations with monotone operators
10/24No talk
10/31Estapraq KahlilOUMountain Pass Theorem
11/7Estapraq KahlilOUNonlinear Schroedinger Problem
11/14Daniel Blazevski University of Texas at Austin Parallel heat transport in reverse shear magnetic fields
11/20Keshav Raj Acharya OUSpectral analysis and deficiency indices of a canonical system
11/28Shiyun Tang OUClimate and influenza