# 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

**Eyvindur Palsson**- A fundamental question in big data is finding, counting and classifying patterns. Distance is one of the simplest patterns. The classical Falconer distance problem can be stated as follows: How large does the Hausdorff dimension of a set need to be to ensure that the Euclidian distance set has positive one-dimensional Lebesgue measure? This problem can be viewed as a continuous analogue of the Erdös distinct distance problem. In the combinatorics literature analogues of the Erdös distinct distance problem for more complicated patterns have been studied for decades. Examples include angles, triangles and areas of triangles. These more complicated patterns similarly give rise to Falconer type questions. Professor Palsson has established a number of Falconer type theorems for triangles and higher order configurations. He has also flipped the question and studied configurations where distances are given and the question is whether a configuration exists that realizes those distances. This question connects to the existence of crystals. As a step in understanding such questions Professor Palsson classified all possible 5 point crescent configurations that relate to an open problem of Erdös on the existence of crescent configurations.

Click here for more information.