PRELIM MATERIAL

 

 

 

 

 

COURSE WORK

Note: Diagrams are missing from most solutions.

 

Fall 2008:

MATH 731: Toric Varieties (Prof. W. Fulton)

 

Winter 2007:

MATH 632: Algebraic Geometry 2 (Prof. R. Lazarsfeld)

MATH 700: Noncommutative Algebra (Reading Course ctned from Summer 2006 ) (Prof. J.T. Stafford)

 

Fall 2006:

MATH 612: Lie Algebras, Lie Groups, and their Representations (Prof. L. Ji)

MATH 631: Algebraic Geometry 1 (Prof. K. Smith)

See Papers Section for the final paper.

CAAS 458: Black World Issues Seminar (Prof. H. Stein)

 

Summer 2006:

Reading Course with J. T. Stafford

Text: Goodearl and Warfield's Noncommutative Noetherian Rings (Cambridge, 2000).

Participated in Scoula Mathematica Interuniversaria, Perugia, Italy

 

Winter 2006:

MATH 592: Algebraic Topology (Prof. P. Scott)

MATH 597: Real Analysis (Prof. J. Heinonen)

MATH 615: Commutative Algebra II (Prof. W. Fulton)

(Note: Some corrections need to be included, will do later... maybe.)

HW Set #1 #2 #3 #4 #5 #6 #7 #8

 

Fall 2005:

MATH 591: General and Differential Topology (Prof. L. Ji)

MATH 596: Complex Analysis (Prof. D. Barrett)

MATH 614: Commutative Algebra I (Prof. J.T. Stafford)

HW Set #1 #2

 

 

 

 

PAPERS

 

Novice Noncommutative Geometry

For my Algebraic Geometry final project. (For a better introduction to Noncommutative *Projective Algebraic* Geometry, see slides below)

 

REU paper

From Clemson University's 2004 Summer Research Experience for Undergraduates

 

 

 

 

SLIDES

 

Modular Forms

This talk provides brief introduction to Modular Forms and discuss the research conducted at the Clemson REU.

 

 

 

 

 

QR MATERIAL

 

Algebra:

I have a huge binder with old exams and solutions (either the official solutions or written up by me).

If you would like to borrow it, stop by and see me. I also found Mel Hochster's notes extremely helpful!

 

Analysis:

I finally passed so I have a binder available with solutions to several old QRs.