Artistic Mathematics: Truth and Beauty

I’ll talk about my work in mathematical visualization: making accurate, effective, and beautiful pictures, models, and experiences of mathematical concepts. I’ll discuss what it is that makes a visualization  compelling, and show many examples in the medium of 3D printing, as well as some work in virtual reality and spherical video. I’ll also discuss my experiences in teaching a project-based class on 3D printing for mathematics students.

Join the Department of Philosphy for the Fall 2022-23 "Meet a Philosopher Series." This series is aimed at undergraduate students of any major interested in topics surrounding philosophy.

"First comes love, then comes marriage, then comes a baby… right? Is your plan to get a “ring by spring”? Are you hoping to one day marry the love of your life and have kids of your own? Many people assume that getting married and having kids is the next step after graduation, but should it be? These life milestones are some of the biggest decisions you’ll make, but many people never question whether getting married or having kids is a moral mistake. In this talk, we will look at the surprising arguments that moral philosophers have made against getting married and having kids, and we will think about how their arguments can help us navigate those decisions in our own lives."

Join the Department of Philosphy for the Fall 2022-23 "Meet a Philosopher Series." This series is aimed at undergraduate students of any major interested in topics surrounding philosophy.

As introduction, Professor Sandmeyer will discuss his personal journey that led him to the study environmental philosophy. He will then present a brief overview of the idea of an existential ecology, which understands life as a relational or ecological concept. He will conclude by detailing what environmental philosophy courses he has developed and is teaching at UK and explain his current effort to establish an Environmental Humanities Initiative here.

Join the Department of Philosphy for the Fall 2022-23 "Meet a Philosopher Series." This series is aimed at undergraduate students of any major interested in topics surrounding philosophy.

Dr. Meg Wallace's talk will focus on the Odd Universe.

Abstract: "Here’s an implausible claim: there is an odd number of things in the universe. This claim isn't implausible because all evidence suggests otherwise, or because we have better reason to believe that the total number of things in the universe is even. Rather, it’s implausible because there doesn’t seem to be any reasonable way to defend it. Nonetheless, it can be shown to follow from just a few intuitive assumptions about parts and wholes. We look at how this is so and where things might have gone wrong."

More information about Meg can also be found on  her webpage  http://www.megwallace.org/

Abtract: Possibility of early stopping or interim sample size re-estimation lead random sample sizes. If these interim adaptations are informative, the sample size becomes a part of a sufficient statistic. Consequently, statistical inference based solely on the observed sample or the likelihood function does not use all available statistical evidence. In this work, we quantify the loss of statistical evidence using (expected) Fisher Information (FI) because observed Fisher information as a function of the likelihood does not capture the loss of statistical evidence. We decompose the total FI into the sum of the design FI and a conditional on design FI. Further, the conditional on design FI is represented as a weighted linear combination of FI conditional on realized decisions. The decomposition of total FI is useful for making a few practically useful conclusions for designing sequential experiments. In addition, this FI decomposition is used to derive a sequential version of the Cramer-Rao Lower Bound (CRLB) for estimators' mean squared errors. For a given sequential design, when the data are generated from one-parameter exponential family with canonical parameterization, the sequential CRLB is attained. Theoretical results are illustrated with a simple normal case of a two-stage design with a possibility of early stopping.

Link to speaker bio: 

https://www.mcw.edu/departments/biostatistics/people/sergey-tarima-phd&…;