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# Departmental Colloquia

Our department is proud to host weekly colloquium talks featuring research by leading mathematicians from around the world. Most colloquia are held on Fridays at 4pm in Parker Hall, Room 250 (unless otherwise advertised) with refreshments preceding at 3:30pm in Parker Hall, Room 244.

**DMS Colloquium: Yiu Tung Poon**

**Sep 22, 2017 04:00 PM**

Speaker: **Professor Yiu Tung Poon**, Iowa State University

Title: From Hlawka Inequality to Generalized Matrix Functions

Abstract: Staring with the Pythgorean Theorem and Triangle Inequality, we introduce the Hlawka Inequality and its extension to generalized matrix functions.

Host: Tin-Yau Tam

**DMS Colloquium: Ji Li**

**Sep 29, 2017 04:00 PM**

Speaker: **Ji Li**, Macquarie University, Sydney, Australia

Host: Yongsheng Han

**DMS Colloquium: Dr. Tianran Chen**

**Oct 06, 2017 04:00 PM**

**Dr. Tianran Chen**, AUM

**DMS Colloquium: Yin**

**Oct 20, 2017 04:00 PM**

Speaker: **Professor Yin**, Wayne State University

Host: Xiaoying Han

**DMS Colloquium: Prof. Fadil Santosa**

**Oct 27, 2017 04:00 PM**

Speaker: **Prof. Fadil Santosa,** University of Minnesota

Hosts: Yanzhao Cao and Junshan Lin

**DMS Colloquium: Graeme Milton**

**Nov 03, 2017 04:00 PM**

Speaker: **Professor Graeme Milton**, University of Utah

Host: Junshan Lin

**DMS Colloquium Steve Qin**

**Nov 10, 2017 04:00 PM**

Speaker: **Steve Qin**, Emory University

Host: Peng Zeng

**DMS Colloquium: Jian-Guo Liu**

**Dec 01, 2017 04:00 PM**

Speaker: **Jian-Guo Liu**, Duke University

Host: Wenxian Shen

**DMS Colloquium: Luke Oeding**

**Sep 08, 2017 04:00 PM**

Speaker: **Luke Oeding**

Title: Tensors in Algebraic Geometry and Applications

Abstract: I will give an overview of my work over the past several years in Applied Non-Linear Algebra. On the "applied" side I will discuss work on Brain Computer Interfaces, Computer Vision and Collaborative Navigation. On the "pure" side I will describe work in algebraic geometry on uncovering fundamental properties of algebraic varieties in spaces of tensors such as secant varieties of Segre, Veronese, and Grassmann varieties, and work in developing new combinations of numerical and symbolic computational techniques. I'll also discuss work in matrix theory and a new connection between frame theory and tensor decomposition.

**DMS Colloquium: Erkan Nane**

**Sep 06, 2017 04:00 PM**

Speaker: **Erkan Nane**

Title: Stochastic Models for Fractional Dynamics

Abstract: My research interests lie in the interface of probability and various areas of analysis, particularly harmonic analysis, partial differential equations, geometry and potential theory. Recently, much of my research has been focused on fundamental properties of stochastic fractional equations, and time-changed stochastic processes that arise as scaling limits of continuous time random walks. These novel processes are interesting on their own, and they have recently been applied to model various phenomena in a wide range of scientific areas including physics, telecommunications, turbulence, image processing, biology, bioengineering, hydrology, geophysics and finance.

In this talk I will give highlights of my research during the past 5 years. In particular, I will review my most recent work on

(i) continuous time random walk limits;

(ii) heat type Cauchy problems with fractional time derivatives; and

(iii) stochastic fractional equations.

**DMS Colloquium: Jessica McDonald**

**Sep 01, 2017 04:00 PM**

Speaker: **Jessica McDonald**

Title: Colouring and structure in graphs

Abstract: I will give a general overview of my research program as part of my application for P&T this year. My research program is centered in graph theory and has two broad, sometimes overlapping themes. The first theme is “colouring,” and I’ll specifically talk about my work on edge-colouring and list-edge-colouring as well as my work on the related concept of flows. The second theme is “structure,” and there I’ll talk about my work involving packing, density, and the immersion containment relation.

**DMS Colloquium: Ziqin Feng**

**Aug 30, 2017 04:00 PM**

Speaker: **Ziqin Feng**

Title: Tukey Order, Metrizability, and Others

Abstract: A directed set is a partially ordered set such that any finite elements have an upper bound. The cofinal complexity of partially ordered sets is normally compared by an ordering called Tukey ordering. Tukey order has been intensely studied in different topics in topology and analysis. It has been successfully used in tackling problems in these topics. In this talk, I will present the application of Tukey order in the metrizability problems arising in functional analysis, and some other results in projects which are related to directed sets. My recent work on free topological groups will also be presented.

**DMS Colloquium: Junshan Lin**

**Aug 25, 2017 04:00 PM**

Speaker: **Junshan Lin**

**Mathematics & Statistics Colloquium: Dr. Anuj Srivastava**

**Apr 21, 2017 04:00 PM**

Speaker: **Dr. Anuj Srivastava**, Florida State University (http://ani.stat.fsu.edu/~anuj/)

Title: Recent Advances in Elastic Functional Data Analysis

Abstract: Functional data analysis (FDA) is fast becoming an important research area, due to its broad applications in many branches of science. An essential component in FDA is the registration of points across functional objects. Without proper registration the results are often inferior and difficult to interpret. The current practice in FDA community is to treat registration as a pre-processing step, using off-the-shelf alignment procedures, and follow it up with statistical analysis of the resulting data. In contrast, Elastic FDA is a more comprehensive approach, where one solves for the registration and statistical inferences in a simultaneous fashion. The key idea here is to use Riemannian metrics with appropriate invariance properties, to form objective functions for alignment and to develop statistical models involving functional data. While these elastic metrics are complicated in general, we have developed a family of square-root transformations that map these metrics into simpler Euclidean metrics, thus enabling more standard statistical procedures. Specifically, we have developed techniques for elastic functional PCA and elastic regression models involving functional variables. I will demonstrate this ideas using imaging data in neuroscience where anatomical structures can often be represented as functions (curves or surfaces) on intervals or spheres. Examples of curves include DTI fiber tracts and sulcal folds while examples of surfaces include subcortical structures (hippocampus, thalamus, putamen, etc). Statistical goals here include shape analysis and modeling of these structures and to use their shapes in medical diagnosis.

Faculty host: Guanqun Cao

Last Updated: 09/11/2015