Math Colloquium and Association
Calendar
Fall 2010 (ad hoc, unfunded)
Archived calendar of events,
including abstracts and presentations

Coorganizers:
Dr. Dana Clahane
and Dr. Bill Cowieson
**
Date

Time

Room

Speaker

Institutional Affiliation

Title of Talk
(Abstracts, flyers, and power
point presentations available for some talks)

T 8/17 (27 students and 2 faculty members participated) 
4:155:30pm 
3010 
Are there infinitely many prime
quadruplets? 






Organizational meeting  students who
would like to get experience giving a colloquium talk or minitalk are
encouraged to attend this meeting, but even if you miss this meeting, don't
hesitate to ask Dr. Clahane or Dr. Cowieson to schedule you as a speaker on any topic that
these two faculty members are scheduled to talk on (see below). 
T 8/24 (24 students and 5 faculty members participated) 
4:155:30pm 
3010 
The Polignac
Conjecture and a more general conjecture of HardyLittlewood
on the asymptotic behavior of the number of prime gaps of fixed size n, prior
to x, as x goes to infinity 




Wilson Lee 
A solution to Problem
929, College Math Journal 






Organizational items  students who
would like to volunteer to give a talk sometime this year are encouraged to
attend this meeting, although it is not required for voluntering
later. 
T 8/31 36 students and 9 faculty participated 
4:155:30pm 
3010 
The algebra of knots Abstract here Flier here Click here
to view a power point/beamer presentation of Dr. Nelson's fantastic talk 

T 9/7 24 students and 2 faculty members participated 
4:155:30pm 
3010 
Fortune's conjecture 




Wilson Lee 
(one of Dr. Clahane's
Math 299
students) and 
The question of whether or not the sum,
difference, product or exponentiation of π and e are irrational; proofs
of the irrationality of π and e Abstract here 
W 9/8 
4:155:30pm 
The Claremont Center for the Mathematical Sciences Colloqium On the north side of Millikan 134 Refreshments served 3:454:15pm, Millikan 209 
An introduction to problems in bicomplex analysis Flier here 

F 9/10 23 students and 3 faculty members participated 
11am2pm 
615 
(Coaches) 
AMATYC
Student Math League Practice Session #1 

T 9/14 38 students and 6 faculty members
participated 
4:155:30pm 
3010 
The
Riemann Hypothesis and the Prime Obsession Click on the title above to view a (2MB)
.pdf file of Professor Russo’s lecture slides for
this talk Abstract here (Click here
to see Dr. Russo’s Summer entertainment 2010 PSUMS lecture notes on the
relationship between the Prime Number Theorem and the Riemann Hypothesis) 

F 9/17 (approximately 15 students participated) 
11am2pm 
615 
(Coaches) 
AMATYC
Student Math League Practice Session #2 

T 9/21 (21 students and 2 faculty members participated) 
4:155:30pm 
3010 
Nicole Gillum 
(one of Dr. Clahane's
Math 299
students) 
Is every Mersenne
number square free? To view a pretty poster that Ms. Gillum made regarding this problem, click here To view Ms. Gillum's
great power point presentation given during part of her talk, click here. 



A solution to Problem
930, College Math Journal 




If S is a subset of points in the plane,
not including the origin, on the right side of the graph of a parabola, such
that the distance between any two points in S is rational, how large can S
be? 

F 9/24 (8 students and 2 faculty members participated) 
11am2pm 
615 
(Coaches) 
AMATYC
Student Math League Practice Session #3 

M 9/27 (Special colloquium) (21 students and 4 faculty members participated) 
4:155:30pm 
229 ( NOTE THE DIFFERENT LOCATION THAN OUR
USUAL 
Click on the title above for a slide
presentation of Mr. (soon to be Dr.) Huerta’s excellent talk Click here
for an abstract 

T 9/28 (15 students and 2 faculty members participated) 
4:155:30pm 
3010 
The Cullen prime conjecture 




Wilson Lee 
(one of Dr. Clahane's
Math 299
students) and 
Continued fractions, simple continued
fractions, and their computations Abstract here 
F 10/1 (THIS PRACTICE SESSION WAS CANCELLED DUE TO A CAMPUS
CLOSURE  LIGHTNING STORM/POWER OUTAGE) 
11am2pm 
615 
(Coaches) 
AMATYC
Student Math League Practice Session #4 

S 10/2 
9amnoon 
Exhibit
Hall B Anaheim
Convention Center 800
West Katella Avenue Anaheim,
CA 92802 parking: $12 
 
 

T 10/5 (16 students and 2 faculty members participated) 
4:155:30pm 
3010 
Wilson Lee 
(one of Dr. Clahane's
Math 299
students) and 
Products and sums of simple continued
fractions Abstract here 



Gilbreath’s conjecture 

F 10/8 (14 students participated) 
11am2pm 
615 
(Coaches) 
AMATYC
Student Math League Practice Session #5 

T 10/12 (16 students and 2 faculty members participated) 
4:155:30pm 
3010 
The abc conjecture 




Terminology prelecture in preparation
for Dr. Kakihara’s 10/19 Colloquium: We will attempt to clearly
define as many of the following terms as possible, to give participants a
boost in understanding Dr. Kakihara's lecture next
week (all of these terms are crucial in graduate school, it turns out, so
students will benefit by seeing these things  no previous knowledge will be
assumed other than knowledge of what a function is  see wikipedia,
for example, for anything below that we don't get to: 1. sigmaalgebras (also
called sigmafields), and generated sigmafields, as well as tensor product
sigmafields 2. measurable spaces 3. measures and measure
spaces 4. probability measures 5. measurable transformations
and measurable, realvalued functions 6. indicator (characteristic
functions) 7. simple functions 8. suprema 8. integration with respect
to a measure on the line 9. Linear spaces and norms 10. Cauchy sequences 11. Complete normed spaces 12. Bounded functions and
continuous ones 13. The supremum
norm on such functions over a closed finite real interval 14. Convex subsets of a set
of measures and extreme points of these sets 15. absolute continuity of a
measure with respect to another 

F 10/15 (10 students participated) 
11am2pm 
615 
(Coaches) 
AMATYC
Student Math League Practice Session #6 

T 10/19 (18 students, 5 faculty members, and 1 staff member
participated) 
4:155:30pm 
3010 
Information channels to channel operators
Abstract here Click here to view a .pdf file of Dr. Kakihara's beautiful lecture notes for this talk 

F 10/22 (10 students participated) 
11am2pm 
615 
(Coaches) 
AMATYC
Student Math League Practice Session #7 (FINAL PRACTICE SESSION) 

T 10/26 (10 students and 2 faculty members participated) 
4:155:30pm 
3010 
The
FermatCatalan Conjecture 




Wilson Lee 
Fullerton College
(one of Dr. Clahane's Math 299
students) and Cerritos
High School ('11) 
Sums and
products of continued fractions, after Vuillemin Abstract here 
F 10/29 (61 students participated) 
10amnoon (Arrive prior to 11am in order to be
eligible  no sign up necessary) 
615 (Tentative) 
(Coaches) 
 
American
Mathematical Association of Two Year Colleges (AMATYC) Annual Math
Competition (All
students strongly encouraged to participate!) CONGRATULATIONS
TO THE FULLERTON COLLEGE TOP 5 SCORERS, RANKING FULLERTON COLLEGE AS 9^{TH}
IN THE NATION IN ROUND ONE OF THIS COMPETITION!!!!! 
T 11/2 (6 students and 2 faculty members participated) 
4:155:30pm 
3010 
Kevin Oskar Negron 
(one of Dr. Clahane's
Math 299
students) and 
Introduction
to the visualization of function behavior involving iteration (dynamics)
using Mathematica, for example 



Lehmer's Mahler
measure conjecture 

T 11/9 (17 students and 2 faculty participated) 
4:155:30pm 
3010 
Brandon Sim (postponed due to illness) 
('11) 
The
equivalence of the Riemann Hypothesis to Lagarias'
elementary statement that d(n) <
H(n) + e^{H}^{(n)} ln H(n) for positive integers n >1 and equality holds
for n=1, where d(n) is the sum of the divisors of n and H(n) is the sum of
the reciprocals of the first n positive integers. 



Prelecture
in preparation for Dr. Emerson's 11/16 Colloquium lecture: 1. Dynamics
of complex polynomials, especially z^2+c, and their relation to the
wellknown Mandelbrot
set 2. Iterates
and closest return times of selfmaps of the complex plane 3. Fibonacci,
tribonacci, and rbonacci
numbers 4. The
asymptotic relationship between the ratios of consecutive Fibonacci numbers
and the Golden ratio 

T 11/16 29 students and 4 faculty members participated 
4:155:30pm 
3010 
Dynamics
of polynomials and metaFibonacci numbers Abstract here Click here
to view a .pdf file containing Dr. Emerson’s
intriguing lecture notes on this topic 

F 11/19 (16 students and 2 faculty members participated) 
11am2pm 
615 
(cocoaches) 
Putnam Competition
Practice and Strategy Session #1 




Gary Ramirez (one of Dr. Clahane's Math 150B students) 
Solution
to Problem B2, 1993 William
Lowell Putnam Competition 




Saroush
Roufee (one of Dr. Clahane’s Math
150B students) 
Solution
(Version 1) to Problem A1, 2009 William Lowell Putnam
Competition 




Jonathan Wolfe 
Solution
(Version 2) to Problem A1, 2009 William Lowell Putnam
Competition 

T 11/23 (14 students and 3 faculty members participated) 
4:155:30pm 
3010 
Gary Ramirez 
(one of Dr. Clahane’s
Math 150B students) 
If p is a prime number that is greater
than 3, then the square of p is 24n+1 for some positive integer n. 



The
equivalence, due to J. Lagarias, of the Riemann
Hypothesis and an easytostate inequality involving the divisor function and
harmonic numbers 

T 11/30 (16 students and 2 faculty members participated) 
4:155:30pm 
3010 
Wilson Lee 
Fullerton College
(one of Dr. Clahane's Math 299
students) and Cerritos
High School ('11) 
The spectrum of a weighted composition
operator on weighted Hardy spaces of the ball, after Zhou/Yuan, part I 



Erdös' conjecture on arithmetic progressions 

F 12/3 (20 students and 2 faculty members participated) 
11am2pm 
615 
(Presented
Problem B1 from the 2009 Putnam competition, after the outline provided in
the MAA Putnam archive) (Presented
Problem A3 from the same exam) 
Putnam Competition
Practice and Strategy Session #2 (Even if
you missed Session #1, come anyway – it will not be assumed that anyone was
at the first session.) 

S 12/4 (22 students participated – this may be a U.S.
community college record) 
8:00am4:00pm (two three hour exam parts and a two
hour break from 11am1pm) 
621 
Faculty supervisors 

2010
WILLIAM LOWELL PUTNAM COMPETITION Students
who want to compete should sign up at the FC Putnam webpage NO LATER THAN
OCTOBER 10! Click here to register
as a contestant and view the FC Putnam competition webpage. FC Record
holder: Mustafa Khafateh (2009) 10 points
out of 120 Goal for
FC this year: At least two scorers, one of which scores higher than ten, and
at least one female scorer 
T 12/7 
4:155:30pm 
3010 
Covering
systems: Number theory in the spirit of Paul Erdös Click on
the above title to view Dr. Kozek’s very nice slide
presentation for this great talk. Abstract here 

S 12/11 (11 students and 3 faculty members participated) 
2:306pm 
Fullerton College Room 615 
Matt Maldonado (FC & UCR) “The reflection and other quandles” Colleen Nelson (FC) “Group theory and one of the Putnam exam problems
last week” Reza Nikoopor (FC) “Maxwell’s chargelocation potential equilibrium
problem” Gary Ramirez (FC) “Forms of powers of odd numbers” Anonymous student (Paul
Sjoberg’s Math 250A
student) (FC) “An
introduction to tropical mathematics” Brandon Sim (FC & Diamond Bar High School, recently accepted
to Harvard University and Columbia University) “Two recent alternative versions of the Riemann
Hypothesis” 
Indicated under each student’s name ß 
Southern California
Community College Student Math MiniConference Organized
by Dr. Dana Clahane 
**
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This website was established in June
2010 Webpage conceptual design, content, and
page maintenance by: Dr. Dana Clahane
and Dr. Bill Cowieson (all rights/copyrights reserved) Abstracts by Dr. Dana Clahane 11/16 abstract by Dr. Bill Cowieson 8/31 Colloqium
flier by: Leo Postovoit,
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