Events
Department of Mathematics and Statistics
Texas Tech University
The first symmetrization transformation was introduced by Jacob Steiner in 1838 in his attempt to find a geometric proof of the classical Isoperimetric Problem. It is amazing that for almost two centuries after its creation the method of symmetrization remains an incredibly powerful tool in many areas of mathematics and mathematical physics. Several ramifications and generalizations of this method were suggested by George Pólya, Gabor Szegö, Walter Hayman, Igor P. Mityuk, Al Baernstein II, Vladimir Dubinin, Friedemann Brock and some other outstanding mathematicians.
I became acquanted with symmetrization in the late 70's, when my thesis adviser, Prof. Igor P. Mityuk, suggested several research problems in Geometric Function Theory. One of those was the Pólya-Szegö problem on continuous Steiner symmetrization, which construction was suggested in one of my papers. I also used some other symmetrization methods and in this talk, will discuss symmetrization-type transformations which I used in my work on problems suggested by Prof. Mityuk and other prominent mathematicians.
At the end of my talk I present some open questions on transformations of symmetrization type.
Dynamic microelectromechanical systems (MEMS) use controlled mechanical motion at the microscale to perform useful functions. This talk will begin with an introduction to Dynamic MEMS, including basic device architectures, actuation mechanisms, scaling effects, and the fabrication approaches used to create movable structures at the microscale. The second part of the talk will present three examples of Dynamic MEMS. The Digital Micromirror Device (DMD) will provide a vivid example of a highly successful commercial MEMS technology based on the controlled motion of large arrays of microscopic mirrors. Devices fabricated using Sandia National Laboratories’ SUMMiT V surface-micromachining process will illustrate more complex planar micromechanisms, followed by recent work using two-photon polymerization with the Nanoscribe platform to create three-dimensional microstructures and mechanisms. Together, these examples show how advances in microfabrication have expanded the types of motion and mechanical functionality that can be realized at the microscale.
Tim Dallas, PhD is a Professor of Electrical and Computer Engineering at Texas Tech University. Dr. Dallas’ research includes developing MEMS-based education and research tools, innovative solar racking techniques, and UAS-enabled transplant organ transport. In 2008, he established Class on a Chip, Inc. to commercialize an array of micro-experimental devices for use in engineering, physics, and MEMS classes. He works with colleagues in the College of Education on the development of an education portal, Classroom on a Chip, and the Solar Powered Digital Classroom in a Box (SPDCB). The SPDCB technology has been deployed to off-the-grid locations in Africa, Asia, and Central America. Each summer, he teaches a class entitled Solar Energy, which includes a solar energy system design project. He has also established classes in entrepreneurship and Unmanned Aircraft Systems (UAS). Prof. Dallas serves as a mentor for the TTU Innovation Hub’s accelerator program and other startup programs. Dr. Dallas has served as the principal investigator for three National Science Foundation sponsored Scholarships in STEM (S-STEM) projects, three Research Experience for Undergraduates Sites, a Course Curriculum and Laboratory Improvement (CCLI) project, and a number of other research and equipment grants from NSF. He has also been funded by the Keck and Welch Foundations for MEMS-based education technologies. He serves as an Associate Dean for the Graduate School and has served as an Associate Editor for IEEE Transactions on Education. He is a Senior Member of IEEE and a Fellow of TTU’s STEM-CORE.
When: 4:00 pm (Lubbock's local time is GMT -5)
Where: room Math 011 (Math Basement)
ZOOM details:
- Choice #1: use this 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: 949 9288 2213
* Passcode: Applied
We introduce the Chern–Ricci flow, a parabolic flow of Hermitian metrics on compact complex manifolds. We show that finite time non-collapsing singularities of the Chern-Ricci flow on compact Hermitian manifolds always form along analytic subvarieties, thus partially answering a question of Feldman–Ilmanen–Knopf and Tosatti--Weinkove.
Zoom link: texastech.zoom.us/j/93346469342
Outreach program for advanced middle and high school math studentsAvian influenza is an infectious disease that influences both wild and domestic birds across the world. The transmission of avian influenza between humans is extremely rare, and it mostly affects people who are in close contact with infected birds. Although this scenario is uncommon, there have been multiple outbreaks that occur in small infection clusters with relatively low transmissibility and thus are too weak to cause a major outbreak. Still, studying subcritical transmission events is vital for determining whether avian influenza is close to reaching the threshold of the basic reproduction number being greater than one. In
this talk, we will discuss the structural and practical identifiability of an avian influenza model. Furthermore, we will explore how identifiability influences key epidemiological measures.
Zoom Link: texastech.zoom.us/j/93081770992
Meeting ID: 930 8177 0992
Passcode: biomath
We study the optimal design of a menu of funds by a manager who is required to use linear pricing and does not observe the beliefs of investors regarding one of the risky assets. The optimal menu involves bundling of assets and can be constructed fromthe solution to a calculus of variations problem that optimizes over the indirect utility that each type receives. We provide a complete characterization of the optimal menu and show that the need to maintain incentive compatibility leads the manager to offer funds that are inefficiently tilted towards the asset that is not subject to the information friction.
Join Zoom Meeting
texastech.zoom.us/j/3067000354?pwd=S0nCdfz1Ue6kOR9aBFgx67IEXPuNZd.1&omn=92056236741
Meeting ID: 306 700 0354
Passcode: TTUMF