Algebra
Research Group
The Algebra Research Group at Kansas State University engages in a wide
variety of research topics in algebra and relate fields. Thay
include representation theory of algebraic groups, quantum groups, Lie
algebras, vertex operator algebras, cohomology theory of finite groups
and Lie algebras and support varieties, noncommutative algebraic
geometry, algebraic deformation theory and function algebras of quantum
groups, algebraic topology and homotopy theory as well as group
cohomology, representations of quivers and related geometry, canonical
bases of quantum groups and Hall algebras, homological methods in
representation theory, finite group theory and homotopical method in
finite group theory, local group theory. 2-dimensional conformal field
theory and string theory, discrete Mathematics and combinatorics,
finite geometry.
Activities
Graduate
Student Research Conference on Algebra and Representation Theory
Graduate
Student Research Conference Photos
Regular Weekly
Algebra Seminar
Graduate
Student Seminar
Graduate
Students at Conferences
Here
is the list of Graduate Courses in Algebra
Faculty
Chermak,
Andrew (Professor)
Hoehn,
Gerald (Assistant Professor)
Lin,
Zongzhu (Professor)
Research topics include: Representation theory of algebraic groups,
algebraic groups, Lie algebras, finite groups of Lie types, quantum
groups;
Geometric approach in representations of quivers, canonical bases of
quantum groups and its generalizations, Cohomology rings and support
varieties for finite groups and Lie algebras. Homological method in
representation theory.
Maginnis,
John (Associate Professor)
Rojkovskaia,
Natalia (Assistant
Professor)
Rosenberg,
Alexander (Professor)
Soibelman,
Yan (Professor)
Emeritus Faculty
Ernie Shult,
(Regents Distinguished Professor)
David Surowski
(Professor)
Postdoctoral
Instructors
Paulhus,
Jennifer
(Ph.D. 2007, University of Illinois)
Visiting researchers
Chen, Sheng (Harbin Institute of Technology)
Zhang, MianMian (Zhejiang
University)
Graduate Students(degree
and advisor)
Ahmad,
Muhammad Naeem
(Ph.D., Hoehn)
Beswick,
Matthew (PhD,
Lin)
Fan,
Zhaobing(Ph.D., Lin)
Lyubinin,
Anton (Ph.D.,
Lin)
Petit,
Francois (Ph.D, Soibelman)
Saleh,
Ibrahim (Ph.D.,
Lin)
Shklyarov,
Dmytro (Ph.D.,
Soibelman)
Zhang,
Shizhuo (Ph.D,. Lin)
Former PhD Students
(last ten years)
Degree, year (Advisor), first position
Li, Yiqiang, Ph.D. 2006 (Lin), Gibbs Assistant Prof.,
Yale University
Pasko, Brian, Ph.D. 2006 (Maginnis), Assistant
Professor, Eastern New Mexico University, Portales
Tang, Xin, Ph.D. 2006 (Rosenberg), Assistant Prof.
Univ. of North Carolina at Lafayeteville
Onofrei, Sylvia, Ph.D. 2003 (Shult), (Postdoc)
Visiting Assistant Professor, University of California at Riverside
Narayanan, Bharath, Ph.D. 2001 (Lin, Soibelman),
(Postdoc) Visiting Assistant Professor, University of Arizona,
Kasikova, Anna, Ph.D. 1999 (Shult), Instructor,
University of Washington, Seattle
Anderson, Kevin, Ph.D. 2001 (Surowski), Assistant
Professor, Missouri Western State College, St. Joseph
Schroyder, Chris, Ph.D. 2002 (Surowski), Assistant
Professor, Morehead State University, Kentucky
Passt Postdoctoral Instructors
Bergner,
Julia
2005-2008 (University of California at Riverside) (Ph.D. 2005,
University of Notre Dame)
My research is in the area of homotopy theory. While classical homotopy
theory deals with topological spaces and homotopy equivalences between
them, more recent work has involved finding similar structures in other
categories of mathematical objects. I have used these structures to
better understand algebraic structures on spaces, in particular
different ways we can describe monoid or group structures. This work
was actually just one step in a larger project of understanding
different ways consider the homotopy theory of homotopy theories, which
was the subject of my thesis. My current work is an attempt to
understand more clearly the relationship between these different models
and to use them to answer questions in topology
and algebra.
Onofrei,
Silvia
(2006-2008) (Ohio State University)
(Ph.D. 2003, Kansas State University)
My research concerns the connections between the p-local structure of a
group G, the homotopy theory of its classifying space BG and the
modular representation theory of G. I am working on the properties of
Lefschetz modules of various subgroup complexes (such as vertices,
block decompositions, relative projectivity) and I also intend to find
specific relationships between these properties and the homotopy theory
of the underlying complexes. I am also investigating how techniques and
results from the theory of subgroup complexes can be applied and
generalized to fusion systems and p-local finite groups.<