Garrett Johnson, Postdoctoral Research Scholar
Department of Mathematics
North Carolina State University
Raleigh, NC 27695-8205

email:  gwjohns3 at ncsu dot edu

Office: SAS Hall 4208
Office Hours: Tues 10:00am-11:00am, Thurs 1:30pm-2:30pm or by appt.

Mathematical Interests:

• Quantum algebras, Lie theory, Noncommutative rings.

Current Teaching (Summer 2012):

• MA 305, Linear Algebra

Previous Teaching:

• Math 242 - Calculus III (at NCSU)
• Math 241 - Calculus II (at NCSU)
• Math 3A - Calculus I (at the Univ. of California Santa Barbara)
• Math 5A - Differential Equations and Linear Algebra II (at the Univ. of California Santa Barbara)
• Math 8 - Transitions to Higher Mathematics (at the Univ. of California Santa Barbara)

Publications/Preprints/Works in Progress:

• Quantum Affine Schubert Cells and FRT-Bialgebras: The Exceptional E₆⁽¹⁾ Case, 14 pages, in preparation.
• Rational Cherednik Algebras of Type G(m,1,2) and Solutions to the Classical Yang-Baxter Equation, 15 pages, in preparation.
• Amalgamated Products of Ore and Quadratic Extensions of Rings, submitted. arxiv:1203.1586
• The FRT-Construction via Quantum Affine Algebras and Smash Products (with C. Nowlin), J. of Algebra, 353 (2012), pp. 158-173. arxiv:1104.5529
• Cremmer-Gervais r-Matrices and the Cherednik Algebras of Type GL₂, Lett. Math. Phys., 94 (2010), pp. 115-122. arxiv:0910.5505