George Melvin Mathematics Department

I am a graduate student in the maths department at UC Berkeley; my advisor is Constantin Teleman. I grew up on Royal Deeside in the northeast of Bonnie Scotland before going on to complete my undergraduate degree in Mathematics at the University of Edinburgh, and Part III of the Mathematical Tripos at Trinity College, University of Cambridge.
*This page was last updated on August 26, 2014.
My mathematical interests lie in the intersection of representation theory, geometry and combinatorics. I like to obtain combinatorial and representationtheoretic results by realising them in geometry. Or something like that.
Representations of quiver Hecke algebras via Lyndon bases (with D. Hill and D. Mondragon) Journal of Pure and Applied Algebra, Vol. 216 5, May 2012, p.10521079
Past Seminars:
♦ Fall 2013, UC Berkeley:
◊ Student Algebraic Geometry Seminar (UC Berkeley; coorganised by Katrina Honigs and Piotr Achinger)
• Notes from a talk on the CayleyBacharach Theorem given by Adam Boocher on September 6, 2013. (All errors, inaccuracies, inconsistencies are due to me.)
◊ Koszul Duality Seminar (coorganised by Constantin Teleman and myself)
◊ FLAGS Seminar (mostly organised by myself)
♦ Spring 2013, UC Berkeley:
◊ Macdonald Polynomials (coorganised by Maria Monks and Steven Sam)
• qKostka Polynomials and Garnir Translates; notes for a talk I gave on March 8, 2013.
• The n! and (n+1)^{n1} conjectures; notes for a talk I gave on April 5, 2013. (Caveat lector: there is a minor error in these notes that requires fixing  I shall do so shortly at some point... (9/16))
◊ Moduli Spaces (organised by Daniel HalpernLeistner)
Upcoming Conferences:
(September 25, 2014) Introductory Workshop: Geometric Representation Theory; MSRI, Berkeley.
Past Conferences:
(August 59, 2013) Quantum/Affine Schubert Calculus; University of Oregon, Eugene.
(June 1721, 2013) Hilbert Schemes, Sheaves and Representations; SISSA, Trieste, Italy.
(April 2428, 2013) Algebra, Combinatorics and Representation Theory: Zelevinsky's 60th Birthday Conference; Northeastern University, Boston.
(April 812, 2013) Interactions between Noncommutative Alebra, Representation Theory and Algebraic Geometry; MSRI, Berkeley.
(March 1822, 2013) Masterclass on Soergel bimodules and KazhdanLuszstig conjectures, by Geordie Williamson and Ben Elias; Centre for Quantum Geometry of Moduli Spaces, Aarhus, Denmark.
Upcoming Semester: (Spring 2015)
New!:I have put my name forward for the position of mentor in the Mathematics Department's new Directed Reading Program. This is a fantastic opportunity for undergraduate students to be paired with a graduate student and to gain exposure to more advanced topics in mathematics not usually covered at the undergraduate level. I have expressed an interest in supervising projects in the following areas of mathematics: representation theory, commutative algebra, noncommutative algebra, algebraic geometry, Lie theory, algebraic topology, Riemann surfaces. Current Semester: (Fall 2014)
Previous Semesters:

♦ In Spring 2013 I was awarded an 'Outstanding Graduate Student Instructor Award' at UC Berkeley for 'outstanding work in the teaching of undergraduates'.
♦ I am available for tutoring in all undergraduate (and some graduate) mathematics courses. Feel free to send me an email to find out more about my availability and hourly rates.