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Series: Other Talks

Refreshments will be served at 3:30.

The Friends of the School of Mathematics present a panel discussion on "Non-Academic
Careers: Opportunities and Challenges for Students"
A distinguished panel of alumni of the School will present their views on
opportunities and challenges for students as they prepare for non-academic careers.
The panelists will also answer questions from the audience. Graduate students and
undergraduate majors in Mathematics are especially encouraged to attend.

Series: Other Talks

Robert J. Lang is recognized as one of the foremost origami artists in the world as well as a pioneer in computational origami and the development of formal design algorithms for folding. With a Ph.D. in Applied Physics from Caltech, he has, during the course of work at NASA/Jet Propulsion Laboratory, Spectra Diode Laboratories, and JDS Uniphase, authored or co-authored over 80 papers and 45 patents in lasers and optoelectronics as well as authoring, co-authoring, or editing 9 books and a CD-ROM on origami. He is a full-time artist and consultant on origami and its applications to engineering problems but moonlights in physics: from 2007-2010 as the Editor-in-Chief of the IEEE Journal of Quantum Electronics.

The last decade of this past century has been witness to a revolution in the development and application of mathematical techniques to origami, the centuries-old Japanese art of paper-folding. The techniques used in mathematical origami design range from the abstruse to the highly approachable. In this talk, I will describe how geometric concepts led to the solution of a broad class of origami folding problems – specifically, the problem of efficiently folding a shape with an arbitrary number and arrangement of flaps, and along the way, enabled origami designs of mind-blowing complexity and realism, some of which you’ll see, too. As often happens in mathematics, theory originally developed for its own sake has led to some surprising practical applications. The algorithms and theorems of origami design have shed light on long-standing mathematical questions and have solved practical engineering problems. I will discuss examples of how origami has enabled safer airbags, Brobdingnagian space telescopes, and more. From 3:30pm-4:30pm, Informal Folding Session will take place in Skiles 236

Series: Other Talks

Robert Lang is recognized as one of the foremost origami artists in the world as well as a pioneer in computational origami and the development of formal design algorithms for folding. Join him for an informal folding session before his presentation.

Series: Other Talks

The Southeast Geometry Seminar is a series of semiannual one-day events focusing on geometric analysis. These events are hosted in rotation by the following institutions:
The University of Alabama at Birmingham;
The Georgia Institute of Technology;
Emory University;
The University of Tennessee Knoxville.
The following five speakers will give presentations on topics that include geometric analysis, and related fields, such as partial differential equations, general relativity, and geometric topology.
Borin Rubin (Louisiana State Univ);
Joseph Fu (Univ of Georgia);
Paul Yang (Princeton U);
Robert Gulliver (Univ of Minnesota);
Ken Stephenson (U of Tennessee).

Series: Other Talks

This systematic review of mathematics educational technology literature
identified 1356 manuscripts addressing the integration of educational
technology into mathematics instruction. The manuscripts were analyzed using
three frameworks (research design, teacher knowledge, and TPACK) and four
supplementary lenses (Data sources, outcomes, NCTM Principles, and NCTM
Standards) to produce a database to support future research syntheses and
meta-analyses. Preliminary analyses of student and teacher outcomes (i.e.,
knowledge, cognition, affect, and performance) suggest that graphing
calculator and dynamic geometry technologies have been abundantly studied,
but the strength of the evidence measures (i.e., validity and reliability)
may be lacking.
More specifically, research on mathematics educational technology appears at
first glance to be ubiquitous, the usefulness of this research to
practitioners and researchers is limited by lack of attention to research
design and validity, reliability, and threats to validity (Rakes et al.,
2011). Additionally, much of the research appears to be unorganized, with
topics such as graphing calculators studied often, while other topics such
as virtual manipulatives understudied (Ronau et al., 2010).

Series: Other Talks

Are there gender differences in authority in mathematics? For
instance, do students treat male and female professors differently and what
can we do to overcome any negative consequences? Also, what might some
positive differences be? We may also discuss issues surrounding respect and
authority in research. All are welcome, but if possible, please let Becca
Winarski rwinarski@math.gatech.edu know if you plan on attending, so she
can get an approximate head count.

Series: Other Talks

Steady fluid solutions can play a special role in characterizing the dynamics of
a flow: stable states might be realized in practice, while unstable ones may act
as attractors in the unsteady evolution. Unfortunately, determining stability is
often a process substantially more laborious than computing steady flows; this is
highlighted by the fact that, for several comparatively simple flows, stability
properties have been the subject of protracted disagreement (see e.g.
Dritschel et al. 2005, and references therein).
In this talk, we build on some ideas of Lord Kelvin, who, over a century ago,
proposed an energy-based stability argument for steady flows. In essence,
Kelvin’s approach involves using the second variation of the energy to establish
bounds on the growth of a perturbation. However, for numerically obtained fluid
equilibria, computing the second variation of the energy explicitly is often not
feasible. Whether Kelvin’s ideas could be implemented for general flows has been
debated extensively (Saffman & Szeto, 1980; Dritschel, 1985; Saffman, 1992;
Dritschel, 1995).
We recently developed a stability approach, for families of steady flows, which
constitutes a rigorous implementation of Kelvin’s argument. We build on ideas
from bifurcation theory, and link turning points in a velocity-impulse diagram to
exchanges of stability. We further introduce concepts from imperfection theory
into these problems, enabling us to reveal hidden solution branches. Our approach
detects exchanges of stability directly from families of steady flows, without
resorting to more involved stability calculations. We consider several examples
involving fundamental vortex and wave flows. For all flows studied, we obtain
stability results in agreement with linear analysis, while additionally
discovering new steady solutions, which exhibit lower symmetry.
Paolo is a candidate for J Ford Fellowship at CNS.
To view and/or participate in the CNS Webinar from wherever you are:
evo.caltech.edu/evoNext/koala.jnlp?meeting=MeMMMu2M2iD2Di9D9nDv9e

Series: Other Talks

All are welcome to discuss professionalism in math, including inviting a
speaker, asking questions in talks, dress code at conferences and workshops,
and sending polite requests to strangers. Some topics specifically
pertaining to women's issues may be discussed. If possible, contact Becca
Winarski (rwinarski@math.gatech.edu) if you plan to attend, however,
note that everyone is welcome even if you do not respond.

Series: Other Talks

If you wish to drive your own car and park, the closest parking deck is attached

to the Oxford Rd Building. There will be a charge for parking, which is $6 for

2-3 hours. Once you have parked, exit the parking garage into the building and

there will be an elevator to your right. Take the elevator to level 3. You

should take a left out of the elevator and proceed through the glass doors into

the courtyard area. The Mathematics and Science Center will be the building to

your left.

Oscillatory integrals arising as Fourier transforms of local
and global height functions play an important role in the spectral
analysis of height zeta functions. I will explain a general geometric
technique which allows to evaluate such integrals. This is joint work
with A. Chambert-Loir.

Series: Other Talks

is attached to the Oxford Rd Building. There will be a charge for

parking, which is $6 for 2-3 hours. Once you have parked, exit the

parking garage into the building and there will be an elevator to your

right. Take the elevator to level 3. You should take a left out of

the elevator and proceed through the glass doors into the courtyard

area. The Mathematics and Science Center will be the building to your

left.

An important theme in number theory is to understand the
values taken by the Riemann zeta-function and related L-functions.
While much progress has been made, many of the basic questions
remain unanswered. I will discuss what is known about this question,
explaining in particular the work of Selberg, random matrix theory and
the moment conjectures of Keating and Snaith, and recent progress
towards estimating the moments of zeta and L-functions.