Peter Magyar
Prof. PETER MAGYAR
Address: Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027
Email: magyar at math dot msu dot edu
Office: Wells Hall D-326
Phone: 517-353-6330
Fax: 517-432-1562
Math 481
Research
Publications
My Bio
MSU Math Dept
Math Server
MathSciNet
ArXiv
Math Links
Fun Stuff


Teaching

I am Associate Professor at the Michigan State Math Department. In Spring 2014 I teach Math 482 (Discrete Math II).

Some previous courses: Math 132 (Calculus I), Math 299 (Transition to Formal Mathematics), Math 309 (Advanced Linear Algebra), Math 310 (Abstract Algebra), Math 418H−419H (Honors Abstract Algebra), Math 481 (Discrete Math I), Math 482 (Discrete Math II), Math 880 (Graduate Combinatorics I); also, my daily-quiz system for upper undergrad courses.

Research

In elementary terms, group theory is the theory of symmetry. A symmetry is any way of moving an object onto itself, and the set of all symmetries of an object is its symmetry group. This has a natural binary operation: perform one symmetry after another to get a new symmetry; and this makes the symmetry group into something resembling a number system. A Lie group is the continuous symmetry group of a highly symmetric object such as the circle or the sphere. Representation theory starts with an abstract group (considered purely as an algebraic system) and describes the objects which have this symmetry.

My main field is representation theory, using tools from algebraic combinatorics and algebraic geometry. I study semi-simple complex Lie groups and the associated loop groups, representations, and homogeneous spaces (Grassmannians, flag varieties, affine Grassmannians). I am interested in Young tableaux and their generalizations, such as Littelmann paths and Kashiwara crystals. I have also done work on Schubert calculus and (affine) Schubert polynomials. See my research statement and abstract.

Publications in pdf format

My papers on the Math ArXiv.

Manuscripts and Notes

Collaborators & Friends

Biography

Education

Employment

Honors

Personal

I was born in Budapest, Hungary, and immigrated with my family at age 4. I speak Hungarian and have visited the country many times, including Junior year abroad in the Budapest Semesters in Mathematics program (1985). Family.


Math Links

Information

American Mathematical Society, MathSciNet

Math Resources Online Florida State Guide

Google Scholar

Electronic Journals

The ArXiv, math e-print server.
MSU Math Library
AMS Journals
JSTOR Journal Archive
American Journal of Mathematics
American Mathematical Monthly
Annals of Mathematics
AMS Journal, Proceedings, Transactions
Royal Society of London Proceedings, Philosophical Transactions

NUMDAM French Journal Archive
Compositio Mathematica
Publications mathematiques de l'IHES
Annales scientifiques de l'ENS, Fourier, Grenoble, Blaise Pascal, Henri Poincaré
Séminaires Bourbaki, Cartan, Chevalley, Dubreil, Ehresmann, Grothendieck, Leray, Sophus Lie, Samuel, Schützenberger

EMANI Journal Archive
Inventiones Mathematicae
Communications in Mathematical Physics
Journal of Algebraic Combininatorics
Michigan Mathematical Journal
Experimental Mathematics
Commentarii Mathematici Helvetici
Mathematische Annalen
Mathematische Zeitschrift

Electronic Journal of Combinatorics

Fun Stuff

M.C. Escher Art Gallery
Mind-blowing Escher animation
Green-dot illusion

Pictures: Real projective plane, Whitney umbrella, triangular lattice graph paper.
Regular polytopes. 3D: dodecahedron icosahedron.   4D: 5-cell, 8-cell, 16-cell, 24-cell, 120-cell, 600-cell.

Kinawa-Chippewa Math Circle.   Handouts: Modular Arithmetic, Public-Key Cryptography.