# News

### Final Exercises Ceremony for the College and Graduate School of Arts and Sciences

Saturday, May 21, 2016

In 2016, the Final Exercises ceremony for the College and Graduate School of Arts & Sciences will be on Saturday, May 21 with the department graduation ceremonies following that afternoon.  The fair-, inclement-, and severe-weather ceremony sites for Mathematics will be:

Fair Weather:  Finals on the Lawn, fair-weather sites for department graduation ceremonies
Pavilion I Lower Garden
Ceremony Start Time: 12:15 p.m.

Inclement Weather:  Finals on the Lawn, all department ceremonies inside
Gilmer Hall Room 130
Ceremony Start Time: 12:45 p.m.

Severe Weather:   Finals in John Paul Jones Arena, all department ceremonies inside
Gilmer Hall Room 130
Ceremony Start Time: 12:45 p.m.

*Please note that Gilmer Hall Room 130 is a Remote Viewing Location for Finals on the Lawn.  We anticipate that the remote viewing will conclude prior to 12 p.m.

Under the severe-weather plan, ALL degree candidates (undergraduate and graduate) will participate in the ceremony at John Paul Jones Arena.  Each graduating student will receive six guest seating tickets for the Lawn.  Since we cannot accommodate as many people in the arena compared to the Lawn, graduates will be restricted to three guests if the ceremony is moved inside.  Tickets are required for all guests either on the Lawn or at the arena.  Guests without tickets can watch a live broadcast of the ceremony at one of the remote viewing locations across Grounds.

### Horia Cornean: Wannier functions, Bloch bundles and topological degree theory, part II

Friday, April 15, 2016

One of the central problems in solid state physics consists of finding
effective models which describe the dynamics of electrons in periodic
potentials. Exponentially localized Wannier functions, if they exist,
enable us to replace the periodic and unbounded Schroedinger operator
with a discrete Jacobi-type infinite matrix.
We shall consider a real analytic and time reversal symmetric family of
Bloch projections of rank N and construct an orthonormal basis for its
range, which is both real analytic and periodic with respect to its
d-dimensional quasi-momenta when $1\leq d\leq 3$ and $N\geq 1$. We will
also show what can go wrong in dimensions higher than three, and make
the connection with topological degree theory.
This lecture is intended to anyone who has a basic knowledge of
functional analysis and a minimal interest in the rigorous mathematical
description of solid state physics. Following the first lecture would
help a lot.

### Horia Cornean (Aalborg University): Wannier functions, Bloch bundles and topological degree theory, part I

Wednesday, April 13, 2016

We shall review the Bloch-Floquet-Gelfand-Zak transform for discrete
periodic Schroedinger operators and show how their spectral projections
generate Bloch bundles. Knowledge of the Fourier inversion theorem is
the only needed background.
We continue with reviewing the 'adiabatic' parallel transport and use it
to construct locally smooth orthonormal bases of the tangent bundle of a
smooth manifold. This will lead to an elementary proof of the Hairy Ball
Theorem for the two-sphere. The methods used here are quite simple but
very useful for understanding the nature of various topological
obstructions in other more complicated situations.

### 2016 Edwin E. Floyd Prize in Mathematics winner - Peter Dillery

Tuesday, April 12, 2016

At the Gordon E. Keller mathematics majors dinner, it was announced that Peter Dillery was the 2016 recipient of the Edwin E. Floyd Prize in Mathematics. Congratualtions to Peter on his accomplishment!

### 2016 Gordon E. Keller Mathematics Majors Dinner

Tuesday, April 12, 2016

### 2016 Gordon E. Keller Mathematics Major's Dinner

Tuesday, April 12, 2015

The Gordon E. Keller Mathematics Majors Dinner will be held on Tuesday, April 12th, 2016 at the Courtyard- Marriott located on Main Street.

This Dinner was conceived and organized by a former major advisor, Professor Gordon Keller, as a way of expressing the department’s appreciation for you. It is a great opportunity for all of you to connect with the faculty and other math majors in a relaxed and lighthearted environment.

In addition to a delicious dinner, there will be an awards presentation and a talk by Dr. Berrien Moore III, who holds a PhD in Mathematics from our own department. He is currently the Dean of the College of Atmospheric and Geographical Sciences at the University of Oklahoma, as well as the Vice President of Weather and Climate Programs and the Director of the National Weather Center. Additionally, he holds the position of Chesapeake Energy Corporation Chair in Climate Studies. His talk is entitled  From S*TS=T to CO2 and Climate; An Improbable Journey.