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Seminars and Colloquia
MIDWEST NUMERICAL ANALYSIS DAY 2020
The Mathematics & Statistics Department at Missouri S&T will be hosting the Midwest Numerical Analysis Day on March 20-21, 2020.
More information can be found on the conference website.
After he retired following the Fall 2002 semester, Professor W.T. Ingram, who was department chair from 1989-1998, generously set up an endowed fund to be used to bring well-known mathematical scientists to Rolla to give lectures on their work. All Ingram Lectures are open to the entire S&T community, and are widely advertised on campus. Visitors brought here under this program usually give two lectures, one of a general nature and accessible to students, and another more advanced aimed at faculty (though students are certainly welcome).
Spring 2020 Ingram Lecture
Speaker: Dr. Charles L. Epstein, Thomas A. Scott Professor of Mathematics, University of Pennsylvania
Date and Location: Thursday, March 5 in Toomey 295
General Lecture (3pm): The Geometry of the Phase Retrieval Problem, I --- Graveyard of Algorithms
Colloquium Talk (4:30pm): The Geometry of the Phase Retrieval Problem, II
Spring 2020 COLLOQUIA
Location: Rolla Building G5
Talk 1 (3pm)
Luke Settles (Eli Little)
Title: Internships, Pharma, & Statistics: Musings of an Early-Career Statistician
Attendees will learn about the following topics.
- The process of finding, applying to, and interviewing for internships
- The details and benefits of a summer internship
- The types of career opportunities and research areas in the pharmaceutical industry
- The desired characteristics and skills of statisticians, including specifics for Eli Lilly and Company
- The typical job activities for Luke’s current position, including which skills from graduate school have been the most utilized and which new skills have been essential
- The important software in industry and resources to develop those abilities
Practical advice will be given throughout, and discussion and questions are highly encouraged.
Talk 2 (4:15pm)
Speaker: Dr. Nick Fewster-Young (University of South Australia)
Title: Exploring new existence results in fractional differential equations
Abstract: This talk will explore some fundamental theories and results about
singular fractional differential equations and present some new existence
results in this field. The two challenges in this theory stem from one in the
singular case where time or space is singular in the equation, while in the
fractional setting, there are key obstacles around the commutativity of
fractional derivatives. The particular scenarios which are explored will be
nonlinear problems with boundary value conditions on the real line. Finally,
the talk will present the ideas to build these results onto time scales.
Thursday, February 27, 4pm
Rolla Building G5
Department of Mathematics and Natural Sciences
American University of Kuwait
Title: Generalization of Metrics and Fixed-Point Theorems
Abstract: A distance on a set is a comparative function. The smaller the distance between two elements of that set, the closer, or more similar, those elements are. Frechet axiomatized the notion of distance into what is today known as a metric. In this talk we present several generalizations of Frechet’s axioms. These include partial metric, strong partial metric, partial Metric, strong partial Metric and Metrics. Those generalizations allow for negative distances, non-zero distances between a point and itself and even the comparison of tuples. Using the generalized metrics mentioned above we create topological spaces and investigate convergence, limits and continuity in them.
Thursday, March 5
295 Toomey Hall
Talk 1: 3pm
Talk 2: 4:30pm
Dr. Charles Epstein
Thomas A. Scott Professor of Mathematics
Department of Mathematics
University of Pennsylvania
General Audience Talk
Title: The Geometry of the Phase Retrieval Problem, I --- Graveyard of Algorithms
Abstract: In several high resolution imaging modalities that use coherent x-rays to illuminate the sample the measured data can be interpreted as the modulus of the Fourier transform of a function describing the unknown object. The Fourier transform is complex valued and the phase cannot be measured directly. I will briefly explain the physics that underlies these facts. In order to reconstruct the object from such measurements we must “retrieve” the unmeasured phase of the Fourier transform. To do this requires some auxiliary information about the object, such as its general size and shape. This is a notoriously difficult problem. I will discuss the underlying geometric reasons for these difficulties, algorithms for recovering the phase and approaches to improving their performance.
Title: The Geometry of the Phase Retrieval Problem, II
Abstract: In the first talk we introduced a geometric formulation of the phase retrieval problem in coherent diffraction imaging (CDI). In that talk we showed how this problem can be formulated as a search for the intersection between two subsets A, B of a very high dimensional space. A is always a torus and B is a subset defined by the auxiliary information, which makes this a non-linear problem. In the second talk we explain why A and B often fail to meet transversely and the effect that this has on the performance of standard algorithms to find the intersections of A and B. This is illustrated with some simple model problems. We then examine the linearization of the maps used to define these algorithms at fixed points, where they display some rather surprising properties. We close our discussion with an entirely different approach to the phase retrieval problem.
Every other Monday at 3:30pm in Rolla G5
Hyperspace and Topology Seminar
3-5 PM on selected Mondays in Rolla G4
3-5 PM on selected Wednesdays in 103 Centennial
Every other Monday at 3:30pm in Rolla G5
Time Scales Seminar
Wednesdays at noon in Rolla G5
For past colloquium information, click here.