Research Seminars: Graduate Student Colloquium

Spring 2024

Time & Location: All talks are on Tuesdays in TBA at 3:30PM unless otherwise noted.
Organizer: Sang-Eun Lee

Archives

 

 

January 30

Title: Student Activities in Mathematics at Tulane
Sang-Eun Lee - Tulane University

Abstract:  We will wrap up the activity we did last semester and propose this semester's events.

Time: 3:30 pm
Location:  TBA

 

February 6

Title: Rigid Microspheres in a Stokes Fluid: Motion Due to White Noise
Irene - Tulane University

Abstract: This talk will center around the dynamic behavior of small spherical particles subjected to externally applied random forces while immersed in a viscous fluid.  In contrast to the stochastic immersed boundary method which averages fluctuating random forces within the particle location, here, these forces are in the surrounding fluid, external to the particle surfaces.

Time: 3:30 pm
Location:  Gibson Hall 126A

 

February 6

Mardi Gras

 

February 20

Title: Statistical Phylogenetic Approach to Characterize the Evolutionary Impact of Interlocus Gene Conversion (IGC)
Yufei - Tulane University

Abstract: Interlocus Gene Conversion (IGC) is a type of mutation that homogenizes repeated DNA sequences. Although substantial progress has been made with regard to inferring nucleotide substitutions that result from point mutations, IGC has typically been ignored when the genomes of related species are studied. This can potentially lead to misleading inferences about evolutionary history and process. Here we apply a composite likelihood approach to IGC inference. By applying this approach to data sets from segmentally-duplicated regions of primates, our results show that evolutionary changes from IGC occur at substantially different rates in different segmentally-duplicated regions.

Time: 3:30 pm
Location:  Gibson Hall 126A

 

February 27

Title: Inverse PDE Problem: Comparison Between Numerical Method and Physics-informed Neural Network
Lan Trinh | Tulane University

Abstract: In our problem, we’re interested in the number of particles inside biological cells, which is governed by a Poisson spatial process with the intensity measure u(x). This u(x) is shown to satisfy a PDE with two unknown parameters z (source location) and lambda (nondimensional quantity) constructed from the diffusivity constant, emerging rate, and size of the cell. We also let u(x) equal 0 on the domain's boundary U, assuming that the particles are absorbed once hitting it. In this talk, I will discuss a simple version of this model in the 1D case using two methods: finite difference technique and Physics-informed Neural Network, then discuss the advantages, disadvantages as well as a potential combination of these methods for the full model in the 2D case.

Time: TBA pm
Location:  TBA

 

March 5

Title: TBA
Peter - Tulane University

Abstract: TBA

Time: TBA pm
Location:  TBA

 

March 12

Title: TBA
Moslem - Tulane University

Abstract: TBA

Time: TBA pm
Location:  TBA

 

March 19

Title: TBA
Will - Tulane University

Abstract: TBA

Time: TBA pm
Location:  TBA

 

April 2

Title: TBA
Sinchita - Tulane University

Abstract: TBA

Time: TBA pm
Location:  TBA

 

April 9

Title: TBA
Vinh - Tulane University

Abstract: TBA

Time: TBA pm
Location:  TBA

 

April 16

Title: TBA
Dipen - Tulane University

Abstract: TBA

Time: TBA pm
Location:  TBA

 

April 23

Title: TBA
Dillon - Tulane University

Abstract: TBA

Time: TBA pm
Location:  TBA