Events of the Week

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March 25

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March 20

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April 1

April 2

April 3

Stats and Prob Seminar

Title: Statistical methods used for clinical research

Hiya Banerjee – Director of Biostatistics at Eli Lilly

Abstract Title: Statistical methods used for clinical research
Hiya Banerjee – Director of Biostatistics at Eli Lilly

Abstract:

In the technical presentation, I will showcase an innovative statistical method utilized to address a clinical question in the context of drug marketing. I will provide a comprehensive overview of how statisticians are involved in approaching and solving the problem, shedding light on the formulation of hypotheses and our collective endeavors to reach resolutions.

Besides that I will talk about how our daily responsibilities influence the trajectory of drug development. Furthermore, I will touch upon the essential skills and behaviors that aspiring students can cultivate to successfully embark on a career in the industry. The conversation will be informal, allowing for ample time for interactions and questions, providing insights into potential careers.



Location: Gibson 126

Time: 4:00 PM

Location: Gibson 126

Time: 4:00 PM

April 4

Colloquium

Title: TBA

Anton Dochtermann - Texas State University (Host: Dr. Ha)

Abstract Title: TBA
Anton Dochtermann - Texas State University (Host: Dr. Ha)

Abstract:

TBA



Location: Gibson Hall 126A

Time: 3:30

Location: Gibson Hall 126A

Time: 3:30

April 5/6

Math For ALL

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Algebraic Geometry Seminar

Title: Poisson geometry of cluster algebras and their quantization

Bach Nguyen

Abstract Title: Poisson geometry of cluster algebras and their quantization
Bach Nguyen

Abstract:

The relationship between Poisson geometry and cluster algebra was first studied by M. Gekhtman, M. Shapiro, and A. Vainshtein. Following their work, we study the global geometry picture of the affine Poisson varieties associated to a cluster algebra and its quantization, root of unity quantum cluster algebra. In particular, we prove that the spectrum of the upper cluster algebra, endowed with the GSV Poisson structure, has a Zariski open orbit of symplectic leaves and give an explicit description of it. Our result provides a generalization of the Richardson divisor of Schubert cells in flag varieties. Further, we describe the fully Azumaya loci of the root of unity upper quantum cluster algebras, using the theory of Poisson orders. This classifies their irreducible representations of maximal dimension. This is a joint work with Greg Muller, Kurt Trampel and Milen Yakimov.



Location: Gibson Hall 126A

Time: 3:00

Location: Gibson Hall 126A

Time: 3:00

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Applied and Computational Mathematics

Title:

Grady Wright - Boise State

Abstract Title:
Grady Wright - Boise State

Abstract:



Location: Gibson 126

Time: 3:30 PM

Location: Gibson 126

Time: 3:30 PM

Monday

Tuesday

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Thursday

Friday

April 8

April 9

April 10

Stats and Prob Seminar

Title: The Proximal Distance Principle for Constrained Estimation

Alfonso Landeros – University of California, Riverside

Abstract Title: The Proximal Distance Principle for Constrained Estimation
Alfonso Landeros – University of California, Riverside

Abstract:

Statistical methods often involve solving an optimization problem, such as in maximum likelihood estimation and regression. The addition of constraints, either to enforce a hard requirement in estimation or to regularize solutions, complicates matters. Fortunately, the rich theory of convex optimization provides ample tools for devising novel methods.

In this talk, I present applications of distance-to-set penalties to statistical learning problems. Specifically, I will focus on proximal distance algorithms, based on the MM principle, tailored to various applications such as regression and discriminant analysis. Special emphasis is given to sparsity set constraints as a compromise between exhaustive combinatorial searches and lasso penalization methods that induce shrinkage.



Location: Gibson 126

Time: 4:00 PM

Location: Gibson 126

Time: 4:00 PM

April 11

April 12

Geometry and Topology

Title: Knot invariants and hyperbolic flows

Solly Coles - Northwestern University

Abstract Title: Knot invariants and hyperbolic flows
Solly Coles - Northwestern University

Abstract:

In this talk, we will discuss the average value taken by a knot invariant on the periodic orbits of a hyperbolic flow on the 3-sphere. The first relevant result comes from the work of Contreras, who studied the average linking number between periodic orbits. Contreras found precise asymptotic growth rates for this number, as the period tends to infinity. In the proof, the Gauss linking integral is used to translate the problem into the language of ergodic theory.

In recent work, we instead consider the average value of a Vassiliev invariant on periodic orbits. Here, the configuration space integrals of Bott and Taubes take the place of the Gauss linking integral in Contreras' work.



Location: Dinwiddie DW-103 (special time and day)

Time: 2:00
Location: Dinwiddie DW-103 (special time and day)

Time: 2:00

Monday

Tuesday

Wednesday

Thursday

Friday

April 15

April 16

April 17

April 18

Colloquium

Title: TBA

Jiahong Wu - Notre Dame (Host: Zhao)

Abstract Title: TBA
Jiahong Wu - Notre Dame (Host: Zhao)

Abstract:

TBA



Location: Gibson Hall 126A

Time: 3:30

Location: Gibson Hall 126A

Time: 3:30

April 19

Applied and Computational Mathematics

Title: TBA

Cole Graham - Brown University

Abstract Title: TBA
Cole Graham - Brown University

Abstract:

TBA



Location: Gibson Hall 126

Time: 3:00

Location: Gibson Hall 126

Time: 3:00

Monday

Tuesday

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Friday

April 22

Geometry and Topology

Title: The wrappingness and trunkenness of volume-preserving flows

Peter Lambert-Cole - University of Georgia

Abstract Title: The wrappingness and trunkenness of volume-preserving flows
Peter Lambert-Cole - University of Georgia

Abstract:

Link invariants of long pieces of orbits of a volume-preserving flow can be used to define diffeomorphism invariants of the flow. The wrapping number of a link in the solid torus and the trunk of a link can be generalized and define invariants of links with respect to a fibration on a 3-manifold. Extending work of Dehornoy and Rechtman, we apply this to define diffeomorphism invariants wrappingness and trunkenness of volume-preserving flows on 3-manifolds and interpret these invariants as obstructions to the existence of a global surface of section for the flow. We construct flows and show that wrappingness and trunkenness are not functions of the helicity.



Location: Gibson Hall 308

Time: 2:00

Location: Gibson Hall 308

Time: 2:00

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