# Welcome to the Math Department

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## Patricia Ann Caldwell Post-Doctoral Fellowship in Mathematics at Virginia Tech

The Department of Mathematics at Virginia Tech invites applications for a two-year appointment as the Patricia Ann Caldwell Post-Doctoral Fellow, to begin August 10, 2019. Candidates must have earned a Ph.D. in mathematics or a related field at the time of appointment. Preference will be given to applicants who can identify a Virginia Tech faculty member who will serve as a research mentor and to applicants whose Ph.D.'s were awarded no earlier than January 1, 2014. (For a list of faculty research areas, go to http://www.math.vt.edu/reResearchAreas.php) Applicants in all areas of mathematics will be considered. The teaching assignment is likely to be one course per semester and will not be more than that.

An online application is required. To complete the online application, go to http://www.hr.vt.edu, choose Prospective Employees, then choose Jobs, then Search Jobs (direct link https://listings.jobs.vt.edu ), and choose the Mathematics Department or choose posting number TR0190007. Please include a cover letter, a CV, and a research statement as part of the online application. You are encouraged to include a teaching statement as part of the online application. Each applicant should follow the instructions in the online application system to request that three references submit letters of recommendation, or letters can be emailed to pacsearch@math.vt.edu. Additional information about position requirements and responsibilities can be found at http://www.hr.vt.edu or https://www.math.vt.edu . The faculty handbook (available at http://www.provost.vt.edu ) gives a complete description of faculty responsibilities. As part of the hiring process, the successful applicant must pass a criminal background check. Questions about the search may be addressed to pacsearch@math.vt.edu.

Applications received by March 4, 2019 will receive full consideration. Virginia Tech is an Equal Opportunity / Affirmative Action Institution. Virginia Tech has a strong commitment to the principle of diversity and, in that spirit, seeks a broad spectrum of candidates including women, minorities, veterans, and people with disabilities. Individuals with disabilities desiring accommodations in the application process should notify Leigh Ann Teel ( lateel@vt.edu, 540-231-8269) or call TTY 1-800-828-1120 by the application deadline. Virginia Tech is the recipient of a National Science Foundation ADVANCE Institutional Transformation Award to increase the participation of women in academic science and engineering careers.

## 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

**May 20-24 2019**: Conference on Mathematical Physics at the Crossings, in celebration of George Hagedorn's 65th Birthday.

**FORCE ADD SURVEY**:
The Math Department will open its force add survey for **FALL 2019** on
** August 3, 2019**. If you need to request a force add, please check our
website on or after that date for the survey link.

## 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.