Alex S. Dugas

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Department of Mathematics University of California Santa Barbara, CA 93106-3080

Office: 6510 South Hall Phone: (805) 893-4546 Email: asdugas (AT) math(DOT)ucsb(DOT)edu

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Research - Papers/Preprints

I study the representation theory of associative algebras and quivers. A major theme of this field is the application of module theory and homological algebra to obtain combinatorial or geometric descriptions of categories of representations. Currently I am investigating questions related to Hochschild homology of self-injective algebras. I am also very interested in stable and derived equivalence, representation dimension, and modules of finite projective dimension.

Teaching

• Current Courses - Spring 2009
  • Math 8 - A Transition to Higher Mathematics

  • Math 108A - Introduction to Linear Algebra

• Past Courses
  • Winter 09: Math 5A - Differential Equations and Linear Algebra II
    
  • Fall 2008: Math 116 - Combinatorial Analysis
    
  • Spring 08: Math 108A - Introduction to Linear Algebra
    
  • Spring 08: Math 108B - Advanced Linear Algebra
    
  • Winter 08: Math 34B - Calculus for Social and Life Sciences
    
  • Fall 2007: Math 8 - Transitions to Higher Math
    
  • Spring 07: Math 3B - Calculus with Applications II
    
  • Winter 07: Math 5C - Vector Calculus II
    
  • Winter 07: Math 8 - Transitions to Higher Math
    
  • Fall 2006: Math 5B - Vector Calculus I