Professor Hyungchun Lee of Dept. of Mathematics, Ajou University, South Korea 
Title: Uncertainty quantification for partial differential equations and their optimal control problems 
Abstract: In this talk, we consider UQ (Uncertainty quantification) and optimal control problems for partial differential equation with random inputs. First we introduce a general approach of studying UQ and then consider some optimal control problems.
To determine an applicable deterministic control $\hat{f}(x)$, we consider the four cases which we compare for efficiency and feasibility. We prove the existence of optimal states, adjoint states and optimality conditions for each cases. We also derive the optimality systems for the four cases. The optimality system is then discretized by a standard finite element method and sparse grid collocation method for physical space and probability space, respectively. The numerical experiments are performed for their efficiency and feasibility. 
Duan Chen
Monday, Feb 11, 11:00AM12:00 Noon, Conference room
Wednesday, Jan 16, 11:00AM12:00 Noon, Conference room
Inbo Sim, University of Ulsan, South Korea 
Title: Symmetrybreaking bifurcation for the onedimensional H\'{e}non and MooreNehari differential equations 
Abstract: We show the existence of a symmetrybreaking bifurcation point for the onedimensional H\'{e}non and the MooreNehari differential equation.
Employing a variant of Rabinowitz’s global bifurcation, we obtain the unbounded connected set (the first of the alternatives about Rabinowitz’s global bifurcation), which emanates from the symmetrybreaking bifurcation point. Moreover, we give an example of a bounded branch connecting two symmetrybreaking bifurcation points (the second of the alternatives about Rabinowitz’s global bifurcation) and show that a bifurcation point for MooreNehari equation is explicitly represented as a function of \p\ which is an exponent of nonlinear term. 
Monday, Nov 26, 11:00AM12:00 Noon, Fretwell 315
Grace Stadnyk, NC State University 
Title: Some Combinatorial Results on the EdgeProduct Space of Phylogenetic Trees 
Abstract: I will discuss a topological space that arises in evolutionary biology called the edgeproduct space of phylogenetic trees. In particular, I will discuss some of the combinatorial properties of a particularly natural CW decomposition of this space. It is known that intervals in the resulting face poset are shellable, but the manner in which the maximal faces intersect is still not wellunderstood. In particular, the poset in its entirety is not known to be shellable. I will introduce a partial order on the maximal faces of the edgeproduct space of phylogenetic trees called the enriched Tamari poset, which can be viewed as a generalization of the Tamari lattice. I will use this poset to show that the edgeproduct space of phylogenetic trees is galleryconnected. I will conclude by discussing the question of whether the face poset of this topological space is shellable. I will define most of the notions that appear in the talk, so it should be accessible to all. 
Monday, Nov 12, 11:30AM12:30 PM, Fretwell 315
Dr. Min Hyung Cho, University of Massachusetts at Lowell 
Title: Fast Integral equation methods for wave scattering in layered media 
Abstract: Many modern electronic/optical devices rely on waves such as solar cells, antennae, radar, and lasers. These devices are mostly built on a patterned layered structure. For optimizing and characterizing these devices, numerical simulations play a crucial role. In this talk, an integral equation method in 2 and 3D layered media Helmholtz equation will be presented. In 2D, the boundary integral equation with the periodizing scheme is used. This method uses near and farfield decomposition to avoid using the quasiperiodic Green’s function. By construction, the farfield contribution can be compressed using Schur complement with minimal computational cost. The new method solved the scattering from a 1000layer with 300,000 unknown to 9digit accuracy in 2.5 minutes on a workstation. In 3D, a LippmannSchwinger type volume integral equation is used with layered media Green’s function to include interface condition between layers and reduces the problem to only scatterers.
In both 2 and 3D layered media, a fast integral operator application is required because integral equation methods usually yield a dense matrix system. A heterogenous fast multipole method (HFMM) is developed. This is a hierarchical method and uses recursivelygenerated treestructure. The interactions from far fields are compressed with freespace multipole expansion. All the spatially variant information are collected into the multipoletolocal translation operators. As a result, many freespace tools can be adapted directly without any modification to obtain an optimal O(N) algorithm for low frequency.
This is a joint work with Jingfang Huang (UNC), Alex Barnett (Dartmouth College), Duan Chen (UNC Charlotte), and Wei Cai (Southern Methodist University)

Friday, Nov 2, 11:30AM12:30 PM, Fretwell 116
Dr. Dat Cao, Texas Tech University 
Title: Asymptotic expansions for solutions of NavierStokes equations in a general class of decaying forces 
Abstract: We discuss the long time behavior of solutions to the threedimensional NavierStokes equations with periodic boundary conditions. We introduce appropriate systems of decaying functions and the asymptotic expansion with respect to those systems. It is shown that if the force has a longtime asymptotic expansion in SobolevGevrey spaces in such a general system then any LerayHopf weak solution admits an asymptotic expansion of the same type. Particularly, we obtain the expansions in terms of the logarithmic and iterated logarithmic decay and recover the case of power decay obtained earlier. This is a joint work with Luan Hoang 
Thursday, Sept 20, 11:00AM12:00 noon, Fretwell 315
Dr. Jeanne Atwell, National Defense, Ball Aerospace, USA 
Title: Math in Industry: Examples from Aerospace 
Abstract: Degrees in math often lead to careers in teaching or academia, but not always. Dr. Jeanne Atwell, a UNCC math department alumni, will share how her math degree led to a career in the Aerospace industry, and compare and contrast problem solving as a math student vs. an industry professional. 
Wednesday, Sept 12, 4:00PM5:00 PM, Conference room
Professor: Prof. Sergei. Avdonin, Univ. of Alaska, Fairbanks 
Title: Control and Inverse Problems for Differential Equations on Graphs 
Abstract: Quantum graphs are metric graphs with differential equations defined on the edges. Recent interest in control and inverse problems for quantum graphs is motivated by applications to important problems of classical and quantum physics, chemistry, biology, and engineering.In this talk we describe some new controllability and identifiability results for partial differential equations on compact graphs. In particular, we consider graphlike networks of inhomogeneous strings with masses attached at the interior vertices. We show that the wave transmitted through a mass is more regular than the incoming wave. Therefore, the regularity of the solution to the initial boundary value problem on an edge depends on the combinatorial distance of this edge from the source, that makes control and inverse problems for such systems more difficult. We prove the exact controllability of the systems with the optimal number of controls and propose an algorithm recovering the unknown densities of the strings, lengths of the edges, attached masses, and the topology of the graph. The proofs are based on the boundary control and leaf peeling methods de 
Short Course in Applied Quantile Regression: October 12 and October 19, 2018
Lecturer: Dr. Yonggang Yao, SAS Institute Inc. 
Time and location: 2:004:45 pm, Friday 141 (Please note this NEW location) 
Course Description: If you ever worry about the validity of the common variance or other parametric distribution assumptions for your data analysis, quantile regression might be a relief for you because quantile regression is a distributionagnostic methodology. Whereas generalized linear regression models the conditional means via link functions, quantile regression enables you to more fully explore your data by modeling conditional quantiles, tail distributions, or the entire conditional distributions. Quantile regression is particularly useful when your data are heterogeneous and when you cannot assume a parametric distribution for the response. This tutorial provides an overview and a set of intuitive examples of the quantile regression methodology. From the basic concepts and comparison to linear regression to more advanced applications and research topics, this tutorial demonstrates the benefits and potentials of using quantile regression methods and introduces computing tools for quantile model fitting, quantile predictions, conditional distribution estimation, conditional percentage estimation, and other inferences and hypothesis testing. The attendees are assumed to be familiar with basic probability distributions, linear algebra, and linear regression. The first lecture covers:
The second lecture covers:
ComputingSoftware: Neither personal computer nor preinstalled software are required in classroom. This short course will present SAS outputs for relevant example programs. You are welcome to try the programs on SAS 9.22 or later release including the free SAS University Edition. 
Short Biography: Dr. Yonggang Yao is a principal research statistician at SAS Institute Inc. He joined SAS in 2008 after obtaining his PhD in statistics from The Ohio State University. Dr. Yao has developed several SAS quantileregression procedures for standard and distributed computing environments including PROC QUANTSELECT and PROC HPQUANTSELECT. He is also the key supporting developer for two other SAS procedures: PROC QUANTREG for quantile regression and PROC ROBUSTREG for robust regression. Dr. Yao has taught tutorials on quantile regression at SAS Global Forums, the Joint Statistical Meetings, and for the ASA traveling courses. 
Registration: To ensure your seat and order a hard copy of the lecture notes, please email Professor Yanqing Sun at yasun@uncc.eduby using email subject “Lecture Registration for Applied Quantile Regression” or “Lecture Registration and Ordering Notes for Applied Quantile Regression”. There is a $20 fee for each hard copy of the lecture notes (cash or check). 
Parking: Visitor parking is available inEast Deck 1.

Wednesday, August 29, 4:00PM5:00 PM, Fretwell 315
Professor: Valery, Romanovski, Center for Applied Mathematics and Theoretical Physics, University of Maribor 
Title: Some problems in the theory of polynomial ordinary differential equations 
Abstract: In addition to their theoretical interest systems of ordinary differential equations whose right hand sides are polynomials have wide practical application. In this talk we will describe significant problems that arise in studying the behavior of solutions of polynomial differential equations and techniques of analysis that are used to attack them. 
Friday, September 28, Conference room, 11:00am
Professor: Min Ru, Professor, Department of Mathematics, University of Houston, USA 
Title: Results related to F.T.A. in number theory, complex analysis and geometry plications 
Abstract: The fundamental theorem of algebra (F.T.A.) states that for every complex polynomial P, the equation P(z)=0 always has d solutions on the complex plane, counting multiplicities, where d is the degree of P.
In this talk, I’ll discuss the results related to F.T.A. in number theory, complex analysis and geometry. In particular, I’ll describe the integer solutions of the Fermat’s equation (Faltings’ theorem), and related Diophantine equations (Diophantine approximation); the Little Picard theorem in complex analysis (viewed as a generalization of F.T. A.)
and overall socalled Nevanlinna theory; how the Nevanlinna theory is related to Diophantine approximation. Finally, I’ll discuss the study of Gauss map of minimal surfaces as part of application of the Nevanlinna theory. 