Seminars and Colloquiums
for the week of September 16, 2019
Maximilian Pechmann, UTK
David Manderscheid, UTK
Vyron Vellis, UTK
Hannah Thompson, UTK
Kay Kang, NIH & MIT
Tea Time -
3:00 pm - 3:30 pm
Monday, Tuesday & Wednesday
Room: Ayres 401
Hosted by: Lindsey Grinstead & Evan Habbershaw
Topics: How to have conversations with faculty members while searching for an advisor; How to transion from coursework to research; Weekly check-in.
Tuesday, September 17
PROBABILITY AND STOCHASTICS SEMINAR
TITLE: Bose-Einstein condensation in random potentials
SPEAKER: Maximilian Pechmann, UTK
TIME: 2:10 PM
ROOM: Ayres 112
Abstract: It is known that random potentials can enhance the occurrence of some type of condensate in Bose gases. With the exception of a few special cases, it is, however, unclear whether such a condensation is actually a Bose-Einstein condensation (BEC). After introducing the definition of BEC, we discuss the results that are known so far concerning the occurrence of BEC in noninteracting Bose gases that are placed in random potentials. We introduce the Luttinger-Sy model (LSM), which is a central model in this research area and one of the very few random models for which the occurrence of BEC has been rigorously proved. Very recently, the occurrence of BEC has also been shown for a generalization of the LSM, and we discuss the main idea of the proof. Lastly, we give an overview of the case where the particles of the Bose gas interact with each other.
Wednesday, September 18
ASSOCIATION FOR WOMEN IN MATHEMATICS LUNCHEON
TITLE: Luncheon with Dr. Manderscheid
SPEAKER: Dr. David Manderscheid
TIME: 12:20 PM
ROOM: Ayres 308H
Abstract: We have asked Dr. Manderscheid to talk about his mathematical journey, transition to administration, and the ways in which we can work together to promote diversity and inclusion within our department, college, and university.
TITLE: A fractal traveling salesman, part 2
SPEAKER: Vyron Vellis, UTK
TIME: 2:30 PM
ROOM: Ayres 113
Abstract: The traveling salesman problem, one of the most renowned problems in computer science, asks for the shortest path that passes through a given finite set of points E in the Euclidean space. What if the set E is infinite? Can we still visit all of its points in finite time? Even more generally, given an arbitrary set E in the space (possibly a fractal), when is it possible to construct a nice map (Holder, Lipschitz) from the unit interval that contains E in its image? In this talk we discuss this generalized traveling salesman problem which has been a very active field of research in geometric measure theory in the last 30 years.
Thursday, September 19
DIFFERENTIAL EQUATIONS SEMINAR
TITLE: A stage structured model with seasonality of hemlock woolly adelgid and two predatory beetle species in the GSMNP
SPEAKER: Hannah Thompson, UTK
TIME: 2:10 PM-3:25 PM
ROOM: Ayres 112
Abstract: The hemlock woolly adelgid, an invasive species, has greatly impacted populations of hemlock trees in the eastern US. Two biological control predators of the adelgid have been found coexisting on adelgid infested trees, but little is known about the interaction of the predators and their joint impact on adelgid populations in natural settings. Using data collected in the Great Smoky Mountains National Park, we model the population dynamics of the adelgids and the two predators with a system of ordinary differential equations.
MATH DATA SCIENCE SEMINAR
TITLE: A Bayesian model for dissecting heterogeneous samples using gene expression data
SPEAKER: Kai Kang, NIH
TIME: 2:10 PM-3:10 PM
ROOM: Ayres 111
Abstract: Quantifying cell-type proportions and their corresponding gene expression profiles in tissue samples would enhance understanding of the contributions of individual cell types to the physiological states of the tissue. Computational approaches that use expression data from heterogeneous samples are promising, but most of current methods estimate either cell-type proportions or cell-type-specific expression profiles by requiring the other as input. Although such partial deconvolution methods have been successfully applied to tumor samples, the additional input required may be unavailable. We introduce a novel complete deconvolution method, CDSeq, that uses only RNA-seq data from bulk tissue samples to estimate both cell-type proportions and cell-type-specific expression profiles simultaneously. We built a Bayesian model that captures the stochastic nature of RNA-seq data. We used a Gibbs sampler for parameter estimation and developed a strategy to automatically determine the number of cell types present. Using several synthetic and real experimental datasets with known cell-type composition and cell-type-specific expression profiles, we show CDSeq outperformed existing deconvolution methods. Complete deconvolution using CDSeq represents a substantial technical advance over partial deconvolution approaches and will be useful for studying cell mixtures in tissue samples.
If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.
If you have questions, or a date you would like to confirm, please contact Dr. Christopher Strickland, firstname.lastname@example.org