Events
Department of Mathematics and Statistics
Texas Tech University
Several problems on the logarithmic capacity of configurations consisting of n ≥ 3 disks in R 2 and Newtonian capacity of n balls in R 3 will be discussed. The most general and difficult problem here is to identify configurations which minimize the logarithmic capacity or Newtonian capacity under certain restrictions on configurations of disks or balls. Also we will discuss maximization problems for these capacities. In particular, I will prove that the linear string maximizes the logarithmic capacity among all strings consisting of n disks and that the circular necklace maximizes the logarithmic capacity over the set of all necklaces consisting of n disks, each of radius one. Similar problems for the Newtonian capacity of constellations of balls in R 3 will be also discussed.
Bring your own lunch and discuss (mostly) biology-related topics in math. Students, postdocs and faculty welcome from any discipline.
See the pdf flyer for this semester's schedule.
Abstract. In today's highly interconnected global economy, financial markets are exposed to a variety of risks, ranging from geopolitical tensions to unexpected market shocks. This talk explores advanced methodologies for managing risk, modeling volatility, and forecasting potential market crashes. Drawing on recent historical events, such as the 2008 financial crisis and the COVID-19 crash, we will examine key risk factors that may precipitate future market downturns. Special focus will be placed on fat-tailed distributions and the importance of considering asymmetric dependencies in financial models. Using tools such as tempered stable models, Expected Tail Loss (ETL), and other advanced risk measures, we will illustrate how these frameworks can provide a more accurate understanding of market behavior, especially in periods of high volatility. The implications for risk management, option pricing, and portfolio optimization will be discussed, offering insights into how investors and financial institutions can better navigate periods of market turbulence
When: 4:00 pm (Lubbock's local time is GMT -5)
Where: room MATH 011 (basement)
ZOOM details:
- Choice #1: use this link
Direct Link that embeds meeting and ID and passcode.
- Choice #2: join meeting using this link
Join Meeting, then you will have to input the ID and Passcode by hand:
* Meeting ID: 979 1333 6658
* Passcode: Applied (Note the capital letter "A")
 | Thursday
Oct. 10
6:30 PM
MA 108
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| Mathematics Education
Math Circle
Aaron Tyrrell
Mathematics and Statistics, Texas Tech University
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Math Circle Fall Poster