Mathematical articles at Berkeley

http://goo.gl/MZeKPX

Collections of maths problems/puzzles from Web

http://goo.gl/1sW2wg

Mathematical problems in Maths Olympiad/Competition

http://goo.gl/0wSG0D

Undergraduate Mathematics Competition - University of Michigan

http://www.lsa.umich.edu/math/undergrad/extracurricularactivities/infincompetitions/undergraduatemathematicscompetition

Bay Area Mathematical Olympiad & Berjekey Math Circle

Lots of problems (BAM Olympiad) from 1999 to 2014:

http://www.bamo.org/archives

Berkeley Monthly Contests  2014-2015

http://mathcircle.berkeley.edu/index.php?options=bmc|monthlycontest|Monthly%20Contest

Algebraic Geometry Introduction

There are many good presentations and ebooks on Algebraic Geometry online:

http://goo.gl/cVj7UG

Among them my favorite (top 10) are:

http://www.math.armstrong.edu/faculty/chang/math/geometry.pdf

http://ocw.mit.edu/courses/mathematics/18-726-algebraic-geometry-spring-2009/lecture-notes/MIT18_726s09_lec01_intro.pdf

http://www.math.wustl.edu/~matkerr/AGbook.pdf

http://www.math.northwestern.edu/~slapan/math/631_Algebraic_Geometry_I.pdf

http://www.sci.ccny.cuny.edu/~ksda/PostedPapers/rickksda1107.pdf

http://www.utdallas.edu/~makarenkov/nads/Slides/Zalman.pdf

http://www.math.lsa.umich.edu/~idolga/CAG.pdf

http://math.stanford.edu/~vakil/216blog/FOAGjun1113public.pdf

http://www.math.lsa.umich.edu/~idolga/631.pdf

https://www.math.ucdavis.edu/~blnli/buildings/bag.pdf