Dr. Christopher Phan

Postal address: Department of Mathematics, University Gardens, University of Glasgow, Glasgow G12 8QW

Email: c dot phan at maths dot gla dot ac dot uk

Tel: +44 (0) 141 330 6531

Office: Maths 528

I am a temporary lecturer in the Department of Mathematics at the University of Glasgow.

• AMS standard cover sheet
• Curriculum vitæ
• Statement of research interests
• Statement of teaching philosophy

• Ph.D. 2009, mathematics, University of Oregon.
  • Advisor: Professor Brad Shelton.
  • Dissertation: Koszul and generalized Koszul properties for noncommutative graded algebras
• M.S. 2005, mathematics, University of Oregon
• B.A. 2003, mathematics and communication, Lewis & Clark College.

Research

I am a noncommutative ring theorist whose primary research interest has been homological results involving graded algebras. For example, I have studied the Koszul and K₂ properties.

Research articles

• The Yoneda algebra of a graded Ore extension, under review. Preprint available at arXiv:1002.2318 [math.RA].
• Localization algebras and deformations of Koszul algebras (with T. Braden, A. Licata, N. Proudfoot, and B. Webster), under review. Preprint available at arXiv:0905.1335 [math.RA].
• Noncommutative Koszul algebras from combinatorial topology (with T. Cassidy and B. Shelton), Journal für die reine und angewandte Mathematik (Crelle’s Journal), to appear. Preprint available at arXiv:0811:3450 [math.RA].
• The Yoneda algebra of a K₂ algebra need not be another K₂ algebra (with T. Cassidy and B. Shelton), Communications in Algebra, 38 (2010) 46–48. Preprint available at arXiv:0810.4656 [math.RA].
• Generalized Koszul properties for augmented algebras, Journal of Algebra 321 (2009) 1522–1537. Preprint available at arXiv:0711.3480 [math.RA]. MR2494406

Selected presentations

• Noncommutative Koszul algebras from combinatorial topology, 2009 Joint Mathematics Meetings, AMS Session on Associative and Non-Associative Rings and Algebras, Washington D.C., January 2009.
• K₂ properties for augmented algebras, 2008 Fall Western Section Meeting of the American Mathematical Society, Special Session on Noncommutative Algebra and Geometry, University of British Columbia, October 2008.

Disseration

• My Ph.D. dissertation: Koszul and generalized Koszul properties for noncommutative graded algebras