Mathematics Home / Research Seminars: AMS/AWM
Time & Location: All talks are on Wednesday at 5:00 PM unless otherwise noted.
Organizer: Diaz Morera, Nestor F
Wednesday, October 6
Topic: An Introduction to Homogeneous Spaces
Mahir Can | Tulane University
Abstract: In this talk we will explain how two important fields of mathematics, combinatorics, and algebraic geometry, meet. The interplay between the ideas of these two fields lead to remarkable results in representation theory.
Location: Gibson Hall 126A
Zoom Access:
Time: 4:15
Wednesday, October 13
Topic: An Illustration of Energy Methods
Kyle K. Zhao | Tulane University
Abstract: Energy methods is an important tool in the study of qualitative properties of partial differential equations. Charlie Doering (Professor of Mathematics and Professor of Physics, University of Michigan - Ann Arbor) once said: "Give me integration by parts and Cauchy-Schwarz inequality, I can conquer the world”. This talk will give an illustration of how these elementary tools could be utilized to prove non-trivial mathematical problems arising in applied science.
Location: Gibson Hall 400A
Zoom Access: N/A
Time: 4:15
Wednesday, October 20
Topic: Divisibility properties of partition numbers
Olivia Beckwith | Tulane University
Abstract: My research focuses on elliptic modular forms and their connections to different areas of number theory. In this talk I will give a short introduction to modular forms, and then I will describe some of my work studying the divisibility properties of numbers which count integer partitions. This includes a discussion of joint work with Scott Ahlgren and Martin Raum, and ongoing joint work with Jack Chen, Maddie Diluia, Oscar Gonzales, and Jamie Su.
Location: Gibson Hall 400A
Zoom Access: N/A
Time: 4:15
Wednesday, October 27
Topic: Statistical Challenges in the Analysis of Methylation Profiles
Michelle Lacey | Tulane University
Abstract: Cytosine methylation is a fundamental epigenetic process that regulates gene expression. Variation in cytosine methylation at CpG dinucleotides is often observed in genomic regions, and a common objective in epigenetic analysis is the detection of differentially methylated sites or regions that may be associated with variation in gene expression related to disease or other factors such as environmental exposure. For sequencing-based methods, this often involves comparing two groups of samples that contain counts of methylated and unmethylated reads, and classical approaches such as logistic regression are typically employed to identify statistically significant differences. However, these algorithms largely ignore sources of both technical and biological bias and variability that violate key statistical assumptions, consequentially producing unreliable results. In particular, our research demonstrates that methylation patterns in individual molecules exhibit strong evidence of local spatial dependence, and further correlation is induced by variability in read coverage in sequencing experiments. This talk will discuss past and present efforts to develop improved statistical models for methylation sequencing data.
Location: Gibson Hall 400A
Zoom Access: N/A
Time: 4:15
Wednesday, November 3
Topic: When Commutative Algebra, Graph Theory and Linear Programming meet
Tai Ha | Tulane University
Abstract: We shall discuss 3 seemingly disjoint sets of problems in commutative algebra, graph theory and linear programming, that turn out to be very closely connected.
Location: Gibson Hall 400A
Zoom Access: N/A
Time: 4:15
Wednesday, November 10
Topic: Linking and knotting in vector fields
Rafal Komendarczyk | Tulane University
Abstract: I will talk about knots and links, their invariants and how they can be applied to problems in fluid dynamics and magnetic relaxation.
Location: Gibson Hall 400A
Zoom Access: N/A
Time: 4:15
Wednesday, November 17
Topic: Landen transformations
Victor Moll | Tulane University
Abstract: The evaluation of the length of an ellipse was one of the interesting problems of the $19^{th}$ century. Landen developed some formulas that lead to the efficient numerical evaluation of these integrals. The talk will include some modern approaches and extensions to this problem.
Location: Gibson Hall 400A
Zoom Access: N/A
Time: 4:15