The Junior Colloquium is a series of talks intended for students interested in mathematics or related subjects, started in the fall of 2002. The JC takes place roughly every other Thursday at 3:30 in the fourth floor colloquium room of Ayres Hall. The JC attracts a large and diverse audience, and students at all levels (and even faculty) are invited to attend. Anyone interested in receiving e-mail announcements about the JC (who is not already on the UTKMATH, seminarlist or pmail e-mail lists) will find information on the Tennessee Today web site or on our weekly seminar list.
For those interested in speaking, here are some hints about what is expected:
1. Talks should be accessible to anyone with a good understanding of basic calculus. If substantial portions of the talk require a higher level of mathematics then the necessary background should be mentioned in the abstract.
2. Ideally, talks should appeal to a wide audience, which often includes engineering and other non-math majors.
3. Faculty may give talks as often as they wish--keep your notes/slides for future use! However, the same talk may be given at most once in any two consecutive years.
4. It is OK to use a talk to advertise an area of mathematics or a career field, but the main purpose of the talk should be to to tell an interesting story about problem(s) in pure or applied mathematics.
Anyone who would like to receive notices about the JC should go to listserv.utk.edu and add his/her e-mail address to the JRCOLL listserv.
Previous subjects have ranged from quaternions to soap bubbles to tornadoes, and previous speakers have included UT faculty and invited visitors from other universities. Potential speakers should contact Dr. Ken Stephenson in the Math Department for more information.
Thursday, October 12
Title: Transionospheric Synthetic Aperture Imaging
Speaker: Dr. Erick Smith, US Naval Research Laboratory
Room: Ayres 405
* Note: Math majors who would like to join the speaker for a lunch or dinner (to be scheduled) should get in touch with Ken Stephenson, firstname.lastname@example.org.
Synthetic Aperture Radars (SAR) use microwaves to image the surface of the Earth (or other planets) from above, usually by airplanes or satellites. From the standpoint of mathematics, SAR imaging is an inverse problem of reconstructing certain characteristics of the target from the information contained in the radio waves reflected off this target. It can be done at nighttime and even through cloud cover. Radars that operate in the UHF and VHF bands, with frequencies of hundreds of MHz, also can penetrate foliage and the ground to see more, but if the radar is located on a satellite, images in these frequencies are also susceptible to distortions caused by the ionosphere, a dynamic region of the atmosphere containing a high concentration of ions and free electrons.
In this talk, we will look at problems associated with spaceborne synthetic aperture imaging in these frequencies and the mathematical ways to correct for the distortions, with the primary methodology stemming from asymptotic analysis and perturbation theory. This is done without prior knowledge of the current state of the ionosphere, which is both inhomogeneous and anisotropic as well as constantly changing in time and having both deterministic and stochastic components. We also look at anisotropy in the target and how certain material parameters can be determined from the phenomenologically constructed scattering matrix. Besides mathematicians, the presentation should also be of interest to those with physics and electrical engineering backgrounds.
Published earlier this year and the basis for this talk, Transionospheric Synthetic Aperture Imaging is a follow-up to the speaker’s 2013 dissertation, SAR Imaging Through the Earth’s Ionosphere, incorporating the contents of the dissertation as well as work that came before it and afterwards.
Thursday, September 21
Speaker: Carl Wagner, UTK
Time: 3:40 pm – 4:35
Room: Ayres 405
Abstract: We'll see how multiplying various power series leads to the solution of many interesting problems in enumerative combinatorics.
Pizza will be served at 3:20 in A 408. Please bring your own drink.
Thursday, September 7
Speaker: Sergey Gavrilets, Distinguished Professor, EEB/Math
Time: 3:40 pm – 4:35, Arrive at 3:15 for pizza
Room: Ayres 405
Pizza will be served at 3:15 in A 401. Please bring your own drink.
Previous Junior Colloquiums: