Graduate Student Seminar

Upcoming Talk

1 December 2023

Practice Oral Exam

Rahul Rajkumar

In this talk I will present my current published work on diffusion in two or more $p$-adic dimensions. Time permitting I will sketch future research directions.

Scheduled Talks

Fall 2023

8 December 2023

TBA

Andrea Stine

TBA

1 December 2023

Practice Oral Exam

Rahul Rajkumar

In this talk I will present my current published work on diffusion in two or more $p$-adic dimensions. Time permitting I will sketch future research directions.

17 November 2023

An Application of the Alternating Split Bregman Algorithm for Least Gradient Problems

Gerardo Orozco-Fernandez

Finding a minimizer of a least gradient problem is often a difficult task. In the particular problem from my current research, with the proper assumptions, we may use Fenchel-Rockafellar to consider the dual problem and an Alternating Split Bregman Algorithm which converges to weak solutions of the dual problem and the original (primal) problem. In this talk, we will derive the algorithm and discuss its convergence.

03 November 2023

Alysha's Practice Defense

Alysha Toomey

Developmental biologists study processes such as pattern formation, morphogenesis, and cellular signaling in an attempt to unravel the complexities of how organisms develop. Providing insights into the fundamental biology of life often requires joint work by both theoretical and experimental biologists. In this talk I will be discussing our contributions to understanding these processes in two different systems: pavement cells in plant leaves and the Drosophila (fruit fly) wing disc.

27 October 2023

Symplectic Groups Actions on Manifolds

Zachary Virgilio

There is a class of group actions on symplectic manifolds that preserve the symplectic form. In this talk, we will give an introduction to symplectic manifolds and the interesting features of symplectic group actions, highlighting examples that motivated the study of symplectic manifolds in general.

20 October 2023

A Very Brief Introduction to Tensor Decomposition

Satish Chandran

In recent years, tensor decomposition has become a crucial tool in the areas of machine learning, signal processing, and statistics. In this talk, we will discuss the basics of tensor decomposition methods, namely the canonical polyadic decomposition (CPD/PARAFAC/CANDECOMP) and the higher-order singular value decomposition (HOSVD). We will also discuss some recent applications.

13 October 2023

Getting in Line: An Introduction to Queuing Theory

Raymond Matson

In an increasingly interconnected world, efficient data transmission and network performance are paramount. In this introductory talk, we will unravel the complexities and common challenges of queuing theory—a powerful tool for comprehending and optimizing network performance. Queuing theory plays a vital role in data traffic management, delay reduction, and overall network efficiency enhancement. We will explore standard examples like Deficit Round Robin (DRR) and Start-Time Fair Queuing (STFQ) as classic algorithms that serve as our stepping stones into the world of network queues. If time permits, I'll also share insights and applications from my summer internship.

06 October 2023

Lightning Talks

UCR Math Grads

Come drop by to see various math grads give short introductory talks about the math they do here at UCR! We especially encourace newer grad students to attend and meet our department.

The UC Riverside Math Graduate Student Seminar (GSS) is brought to you by the UCR student chapter of the American Mathematics Society. GSS is organized by the officers of the chapter.

Officers

Will Hoffer, President

Chris Grossack, Vice President

Jialin, Jennifer Wang, Secretary

Rahul Rajkumar, Treasurer

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