PART I: INFINITE RAMSEY: Graphs & Hypergraphs

Jan 28 Intro to the Course

Jan 28 Infinite Ramsey Thm For Graphs, Sheng-notes,NOTES, Inf Ram NOTES

Jan 30 Infinite Ram to Finite Ram For Graphs

Jan 30 Infinite Ram on Z

Feb 4 Finite Ram Thm For Graphs,NOTES

Feb 4 Infinite Ramsey Thm For 3-Hypergraphs

Feb 6 App to Logic SLIDES,NOTES

Feb 6 Your Top Math Songs, and Mine

Feb 6 HW 01, the Not-ONTO problem

Feb 6 APP: To proving Programs Terminate. OPT, PAPER

Feb 13 Finite Ramsey Thm For 3-Hypergraphs-TOW bounds

Feb 13 Prim Rec, The Language for Bounds on -ary Hypegraph Ramsey

Feb 13 Goodstein Sequences SLIDES

Feb 18 Much Better Bounds on 3-Hypergraph Ramsey

Feb 18 Large Ramsey Theorem

Feb 18 Computable Ramsey, My Notes on Computable Ramsey

Feb 20,24 omega-squared, Latex of omega-squared talk.

Feb 20,24 Inf Can Ram

Feb 27 a-ary Can Ramsey

Feb 27, March 4 Kruskal Tree Theorem, NOTES, Paper with Proof of Kruskal Tree Theorem

March 6 Convex Sets

PART II: FINITE RAMSEY: Graphs & Hypergraphs

March 11 Projects Done By Students In This Class

March 11 Small Ram Num FOR HS STUDENTS

March 11 Small Ram Num SLIDES

March 11 App to History PAPER TO READ FOR THE QUIZ,

March 11Survey that Includes App to History

March 11 Slide Survey that Includes App to History

March 13 Slight Improvement To Upper Bd on R(k)

March 13 Two Triangles SLIDES

March 25 More on Ramsey Kings

March 25 Erdos on R(5) and R(6)

March 25 Garrett approach and Standard approach to Ram. Mult.

March 27 Lower Bounds on Ramsey Numbers I

March 27 Lower Bounds on Ramsey Numbers II, Spencer paper with better lower bounds

March 27 Prob Meth for Distinct Diff Sets

March 27 AC and Equiv

March 27 Ramsey over the Reals

March 27 Prob Meth for Sum Free Sets

PART III: GRAPH RAMSEY THEORY

April 1 Graham's GRT

April 1 Irving's GRT

April 3 Spencer's GRT

PART IV OF THE COURSE: Coloring N and NxN and NxNxN and …

April 8 Grid Coloring SLIDES

April 10 Sq Theorem

April 10 VDW SLIDES

April 10 Are There Better Bounds on the VDW Numbers?

April 15 Poly VDW SLIDES,

April 15 Poly VDW Cheat Sheet I: Statement of Lemmas

April 17 Poly VDW Cheat Sheet II: Useful Notation

April 17 Write up of Lemma for Quad VDW

April 17 Small Poly VDW

April 22 Arvind's Guest lecture, a few slides

April 24 Roth's theorem

April 24 Extended VDW Theorem

April 24 Application to NT

April 29 You'll See

April 29 Rado's thm SLIDES

April 29 Rado's thm SLIDES

PART V: EUCLIDEIAN RAMSEY THEORY

Intro to ERT and Chrom Numb of Plane

C4 Ramsey (needed for Unit Sq),Alt Proof. OPT

Unit Sq,PAPER on R4

Paper with Auguste

Area 1

There is a mono equil-Tri of size… OPT

L2-L3

L3-LBig