RESEARCH: Algebra

Algebra at USC is very broadly conceived. The expertise of the faculty covers a broad swathe of the field, including group theory, Hopf algebras, representation theory, homological methods, aspects of abstract algebraic geometry, arithmetic algebraic geometry, and algebraic methods of mathematical physics.

Faculty

• Asok, Aravind (Algebraic Geometry)
• Friedlander, Eric (Algebraic Geometry, Algebraic K-Theory, Representation Theory)
• Guralnick, Robert (Finite Groups, Representation Theory, Curves, Galois Theory, and Linear Algebra)
• Kamienny, Sheldon (Arithmetic Geometry, Modular Forms, Abelian Varieties)
• Lanski, Charles (Non-Commutative Ring Theory)
• Lauda, Aaron (Categorification, representation theory, and low-dimensional topology)
• Malikov, Fedor (Mathematical Physics, Representation Theory)
• Montgomery, Susan (Noncommutative Algebras, Hopf Algebras and their
  Representation Theory)

Post Docs and Visitors

• Ayala, David
• Iovanov, Miodrag (Hopf algebras and coalgebras)
• Jedwab, Andrea (Representation theory of Hopf algebras)
• Ross, Joe (Algebraic Geometry)
• Williams, T. Benedict (Homotopy theory, Algebraic Geometry)

Current Graduate Students

• Chebotarov, Dmytro (advisor Malikov)
• Bilal, Taylan (advisor Friedlander)
• Cheung, Matthew (advisor Kamienny)
• Courter, Rebecca (advisor Montgomery)
• Ericksen, Adam (advisor Asok)
• Pavelescu, Andrei (advisor Guralnick)
• Sobaje, Paul (advisor Friedlander)
• Timmer, Joe (advisor Friedlander)
• Zhong, Changlong (advisor Geisser)

Recent Ph.D.'s Awarded with Thesis Title

• Keilberg, Marc, 2010 ``Higher indicators for some groups and their doubles"
• Chu, Chenghao, 2008 (Northwestern) ``Representing Cohomology Theories
• in the Triangulated Category of Motives''
• DiMuro, Joseph, 2008 ``On Prime Power Elements of GL_d(q) Acting
  Irreducibly on Large Subspaces''
• Guest, Simon, 2008 ``A Solvable Version of the Baer-Suzuki Theorem''
• Jedwab, Andrea, 2008 ``Representations of Finite-Dimensional Hopf
  Algebras''
• Voineagu, Mircea, 2007 (Northwestern) ``Semi-Topological K-Theory of
  Certain Projective Varieties''
• Han, Yongho, 2006 ``Commuting Triples of Matrices''
• Heller, Jeremiah, 2006 (Northwestern) ``Semi-Topological Cobordism for
  Complex Varieties''