DMS Graduate Student Seminar
Oct 30, 2024 03:00 PM
010 ACLC
This seminar will be a panel discussion on job searching. The panelists—Dr. Jennifer Deang from Lockheed Martin Corporation, Dr. Feng Bao from Florida State University, and Dr. Melinda Lanius from Auburn University—will share their insights on the job search process from both industry and academic perspectives. All graduate students are encouraged to attend.
Dr. Jennifer Deang received her Ph.D. in Mathematics from Virginia Tech in 1997. She is a fellow of the Lockheed Martin Corporation. LM fellow is the highest technical rank at Lockheed Martin. She is also an affiliated faculty member of our department.
Dr. Feng Bao received his Ph.D. in Mathematics from Auburn University in 2014. He is currently the Timothy Gannon Endowed Associate Professor in Mathematics at FSU. Dr. Bao received the NSF CAREER award in 2022.
Dr. Melinda Lanius received her Ph.D. in Mathematics University of Illinois at Urbana-Champaign in 2018. She is currently an assistant professor in our department.
DMS Graduate Student Seminar
Oct 23, 2024 03:00 PM
010 ACLC
Speaker: Professor Hal Schenck
Title: Combinatorics and Commutative Algebra
Abstract: This talk will give an overview of the spectacular success of algebraic methods in studying problems in discrete geometry and combinatorics. First, we'll discuss the face vector (number of vertices, edges, etc.) of a convex polytope and recall Euler's famous formula for polytopes of dimension 3. Then, we'll discuss graded rings, focusing on polynomial rings and quotients. Associated with a simplicial polytope P (every face is "like" a triangle) is a graded ring called the Stanley-Reisner ring, which "remembers" everything about P and gives a beautiful algebra/combinatorics dictionary. I will sketch Stanley's solution to a famous conjecture using this machinery and touch on connections between P and objects from algebraic geometry (toric varieties). No prior knowledge of the terms above will be assumed or needed for the talk.
DMS Graduate Student Seminar
Oct 16, 2024 03:00 PM
010 ACLC
Speaker: Rachel Galindo
Title: On graphs with chromatic number and maximum degree both equal to 9
Abstract: An equivalent version of the Borodin-Kostochka Conjecture, due to Cranston and Rabern, says that any graph with \(\chi = \Delta = 9\) contains \(K_3 \lor E_6\) as a subgraph. In this talk we will discuss several results in support of this conjecture, where vertex-criticality and forbidden substructure conditions get us either close or all the way to containing \(K_3 \lor E_6\).
This is joint work with Jessica McDonald.
DMS Graduate Student Seminar
Oct 09, 2024 03:00 PM
010 ACLC
Speaker: Professor Emeritus Frank Uhlig (Auburn)
Title: Hands-on inverted teaching of Lesson Plans 3 - 5, in class study of Matrix Theory and Matrix Computations
From Professor Uhlig: read page 15 with an intro and questions before "class" on Wednesday. This is necessary for inversely taught classes; it is homework for Wednesday!
Especially important is the last questionnaire page. I will have 50 printed in the office (thanks!) before my talk and bring them to ACLC 010 myself.
Of course we will read/look at some of the Lesson Plans as well directly on-line if that is possible.
https://la-education.oucreate.com/teaching-resources/lesson-plans/franks-lesson-plans/
DMS Graduate Student Seminar
Oct 02, 2024 03:00 PM
010 ACLC
Speaker: Roman Vasquez (Auburn University)
Title: Bootstrap Percolation and Weak Saturation on Graphs
Abstract Weak saturation and bootstrap percolation (on edges) are two variations of the same process, which measures the presence of certain subgraphs inside of a given graph. We will explore weak saturation numbers of graphs and their connection to the H-bootstrap percolation process and then present some results about minimum weakly saturated graphs.
DMS Graduate Student Seminar
Sep 25, 2024 03:00 PM
010 ACLC
Speaker: Dr. Huan He (Auburn University)
Title: Real-World Evidence Generative Modeling: A Deep Generative Model for Clinical Evidence Generation
Abstract: Current GPTs and NLPs have not yet focused on generating causal evidence from Real-World Data (RWD). Here, we develop the very first generative pretrained transformer (GPT) model designed specifically for RWD with negative control outcome (NCO) powered debiasing capability. Our model is a generalist for Real World Evidence (RWE) generation by first pretraining on large datasets and then fine-tuning on small but relevant cohorts.
DMS Graduate Student Seminar
Sep 18, 2024 03:00 PM
010 ACLC
Speaker: Professor Emeritus Frank Uhlig (auburn University)
Title: Introduce interactive teaching for Math 2026 Linear Algebra classes at AU, their history, and experiences.
Examples: find the invariants of REFs, based on My Lesson Plans, LP 3- 4.
DMS Graduate Student Seminar
Sep 11, 2024 03:00 PM
010 ACLC
Speaker: Dr. Zach Walsh (Auburn University)
Title: Delta-modular matroids
Abstract: Delta-modular matrices are integer matrices that arise in the theory of integer programming. Matroids are discrete structures that encode the combinatorics of linear independence. We show how matroids were used to find an upper bound on the maximum number of columns of a rank-r Delta-modular matrix. We assume no knowledge of matroid theory.
This is joint work with Joseph Paat, Ingo Stallknecht, and Luze Xu.
DMS Graduate Student Seminar
Sep 04, 2024 03:00 PM
010 ACLC
Speaker: Ridvan Ozdemir (Auburn University)
Title: Mathematical Theories for Topological Phases and Edge Modes in Mechanical Systems
Abstract: We examine the topological phases of the spring-mass lattices when the spatial inversion symmetry of the system is broken and prove the existence of edge modes when two lattices with different topological phases are glued together. In particular, for the one-dimensional lattice consisting of an infinite array of masses connected by springs, we show that the Zak phase of the lattice is quantized, only taking the value 0 or π. We also prove the existence of an edge mode when two semi-infinite lattices with distinct Zak phases are connected. We characterize the valley Chern numbers for the two-dimensional honeycomb lattice when the masses on the lattice vertices are uneven. The existence of edge modes is proved for a joint honeycomb lattice formed by gluing two semi-infinite lattices with opposite valley Chern numbers together.
DMS Graduate Student Seminar
Aug 28, 2024 03:00 PM
010 ACLC
Speaker: Sean Grate
Title: How-To: Making a Website
Abstract: A website provides an interactive medium to showcase your work, experience, and interests. I will review some ways to quickly make a website and discuss what content you should (and should not) feature on your website.
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