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 132.019 Math 881 Research Publications My Bio MSU Math Dept Math Server MathSciNet ArXiv

• Teaching   I am Associate Professor at the Michigan State Math Department. In Spring 2018 I teach Math 132 Sec 19 (Calculus I) and Math 881 (Graduate Graph Theory).

Some previous courses: Math 132 (Calculus I Notes), Math 133 (Calculus II Notes), Math 254H (Honors Multivariable Calculus), Math 299 (Transition to Formal Mathematics), Math 309 (Advanced Linear Algebra), Math 310 (Abstract Algebra), Math 419H (Honors Abstract Algebra, also 2006), Math 481 (Discrete Math I), Math 482 (Discrete Math II), Math 880 (Graduate Combinatorics I), Math 881 (Graduate Graph Theory); 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 publications (also on the arXiv), research statement, and abstract.

• Biography   I got my Ph.D. from Harvard in 1993, and have taught at Michigan State since 2000. I became Associate Professor in 2006.

I was born in Budapest, Hungary, and immigrated with my family at age 4. I speak Hungarian and spent an undergrad year abroad in Budapest Semesters in Mathematics. My family.