# Welcome to the Math Department

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## Faculty Search: Dynamical Systems and Spectral Theory.

The Math Department is currently conducting a search in the area of Dynamical Systems and Spectral Theory.

The Virginia Tech Department of Mathematics anticipates a tenure-track opening in Dynamical Systems and Spectral Theory with a start date of August 10, 2019, at our Blacksburg, VA, campus. The successful candidate will have a strong background in dynamical systems and spectral theory. Possible specialties may include, but are not limited to, harmonic analysis, ergodic theory, random matrix theory, aperiodic order, Schrödinger operators, renormalization methods, dispersive dynamics, non-selfadjoint operators, matrix computations or math-biology. The successful candidate will have the opportunity to engage in trans-disciplinary research, curriculum, and/or outreach initiatives with other university faculty working in Virginia Tech’s Destination Areas

For more information see the position listing.

## Announcements

**DROP/ADD**: Spring 2019 drop/add opens November 24, 2018.
If you tried to
add an undergraduate math course and received an
honors restriction, a major or level restriction, or a prerequisite error,
please complete the
**Math Spring 2019 Drop/Add Survey**. Students who
receive a closed section error should continue to try to add themselves to
a section of the course. We will open seats periodically.
More information can be found
**here**.

**CREDIT-BY-EXAM:**
Sign-up times for credit-by-exam, FALL 2018

Monday, December 3 - Wednesday December 5 10:00 AM - 11:30 AM and 1:30 PM - 3:00 PM

**Fall 2018 Credit by Exam Information**

## Featured Research

**Ezra Brown**- Let F be a field. An elliptic curve is a polynomial over F of the form E

_{F}: y

^{2}= x

^{3}+ px + q, where the cubic x

^{3}+ px + q has distinct roots. The theory of elliptic curves lies at the intersection of many diverse branches of mathematics. These deceptively simple-looking curves have been used to devise new integer factoring and primality testing algorithms, and as tools for solving many problems, most famously Fermat's Last Theorem. My interest in the subject begins with the fact that you can make the set of points on E

_{F}into an abelian group under the so-called chord-and-tangent addition. The Mordell-Weil Theorem states that over the field Q of rational numbers, the group of points on E is a finitely generated abelian group, whose rank r is the subject of much research. This rank is the subject of the Birch--Swinnerton-Dyer Conjecture, one of the major unsolved problems in all of mathematics. Prove (or disprove) the conjecture and win a million dollars!

Click here for more information.