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Announcements

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Instructor Positions The Virginia Tech Mathematics Department invites applications for full-time instructor positions to start in the Fall of 2018. Please see this document for more information.

DROP/ADD: Fall 2018 drop/add opens again August 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 Fall 2018 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, end of Summer I 2018
THURSDAY, June 28, 10:00 AM - 11:30 AM and 1:30 PM - 3:00 PM
Summer I 2018 Credit by Exam Information

Next change of major period to add, change or drop a primary or secondary major, minor, or concentration: July 29 - September 1, 2018.

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Featured Research

Nick Loehr - Dr. Loehr's research areas are bijective and algebraic combinatorics. The main problem in bijective combinatorics is to prove that two finite sets have the same size by exhibiting a specific one-to-one correspondence between them. Some of the most elegant proofs in mathematics occur in this field. The illustration depicts a colored, directed tree growing around a cylinder. This tree appears in a bijective proof of a recently discovered identity in the theory of integer partitions.

Algebraic combinatorics deals with the interplay between combinatorics and certain areas of abstract algebra, including representation theory, symmetric functions, Lie algebras, and algebraic geometry. An intricate combinatorial calculus has been developed for computing with symmetric functions and related constructs by drawing and operating on suitable pictures of partitions, tableaux, parking functions, lattice paths, etc. Quantum analogues of these combinatorial objects lead to deep results about Macdonald polynomials, the Bergeron-Garsia nabla operator, Hilbert schemes, and more.