Math Colloquium and Association Calendar
20092010 Academic Year



Room

Speaker

Affiliation

Title of Talk
Click title for direct link to lecture
notes if available (some files are a few megabytes) (Abstracts/flyers also
available for some talks)

2:00  2:50 pm 
706 


Organizational meeting/elections 

2:00  2:50 pm 
706 
FC 
The Holy Grail of Mathematics: The RiemannZeta
Conjecture 

2:00  2:50 pm 
119 
FC 
The Goldbach conjecture; the search
for an odd perfect number Click here to view presentation by Dr. Clahane and his former students Jin Cho and M. Alex Higgins on the question of whether or not an odd perfect number exists. 

2:00  2:50 pm 
119 
FC 
1. Fermat's Last Theorem to a Next Theorem; Can a 6th
power of a positive integer be the sum of 5 6th powers of positive integers? 2. Can one find the exact value of the sum of all
reciprocals of a fixed odd power of the positive integers? 

2:00  2:50 pm 
226 
Fidel Cabezas 
FC (now pursuing his MA in Computer Science at CSU Fullerton) 
An Algorithm for Evaluating Perfectness 

2:00  2:50 pm 
229 
FC 
To see a paper by Dr. Clahane
with 2014 ENGAGE in STEM Research Intern Phil Pesca
describing the above open problem in detail, click on the above title. 2. Are the sum, difference, product, and quotient of π and e rational? 

M 10/19
**INAUGURAL** **MATH** **COLLOQUIUM** (Approximately sixty in attendance) 
12:00  12:50 pm Pizza/Refreshments served from 11:30 amnoon 

UC Irvine 
Using donuts to resolve problems from vision and emotions to economic and congressional apportionments 

2:00  2:50 pm 
119 
FC 
Conjectures about twin, Mersenne and Sophie Germain primes 

2:00  2:50 pm 
119 
FC 
The Jacobian Conjecture 

T 11/3 (eight FC students and one faculty member participated) 
2:00  2:50 pm 
226 
FC 
Introduction to the mathematics of imaging; Imaging 3D Morphology of rapidly evolving celestial objects; Tomography 

T 11/10 (eight students and one faculty member participated) 
2:00  2:50 pm 
226 
FC 
The tomography problem, pixels, images, attenuation, the Radon transform, sample spaces, probability, numerical and matricial random variables, probability density functions, image noise, and image noise correlation 

T 11/17
**COLLOQUIUM #2** (Approximately fourteen persons in attendance) 
2:00  2:50 pm Pizza / Refreshments served from 1:30  2 pm 
226 
CSU 
To Bin or not
to Bin? Using Mathematics to improve CAT scans (Click on the above title to see Dr. Pineda’s Power Point presentation for this talk) 

T 11/24 (nine students and one faculty member participated) 
2:00  2:50 pm 
226 
FC 
Finding a dynamical systems explanation for orbital behavior of celestial objects, such as the recently discovered braidlike behavior sometimes but not always present on portions of Saturn’s rings Click here for a 3D Visualization of JPL/NASA's Cassini Saturn Probe and Mission


S 12/5 (eight students participated) Fullerton College top student in the Putnam competition and
first Fullerton College student to score in the competition: MUSTAFA KHAFATEH (Mr. Plett's Math 259C student
and Dr. Clahane's Math 299 Student) Mustafa earned ten points on the exam and was ranked
1461st out of 4036 students from nearly every fouryear college and
university in the country! To rank in the top 479 students in the country, students
needed a score of 22 (two problems plus some partial credit on another)
EVERYONE should consider taking this test four times  Mustafa still has
three more chances and has a good chance of ranking in the top 500 next time
 do you? The answer is yes if you
practice problemsolving! The secret is to practice test the Putnam exam and
don't be intimidated at all by it! We will enter this competition next year  please email Dr. Clahane as soon as possible if you would like to enter the competition and get tips on how to do well in it! 
10am1pm; 3pm6pm 
616 
Dr. Dana Clahane,
supervising faculty member 

2009 William Lowell Putnam Mathematical Competition at

T 12/8
**COLLOQUIUM #3** (approximately ten persons in attendance) 
2:00  2:50 pm
Refreshments served from 1:30  2 pm 
226 
UC Riverside 
Analysis on a Corner 
Spring 2010 Math Colloquia and Math Association Meetings

EXCEPT FOR
THE FIRST 1/19 MEETING, THE 4/13 MEETING, AND THE 4/20 MEETING, ALL MEETINGS
AND COLLOQUIA ARE HELD IN THE


Room

Speaker

Affiliation

Title of Talk

T 1/19 (eight students and one faculty member participated) 
12:00  12:50 pm 

FC 
Frobenius'
Conjecture: 

T 1/26
**COLLOQUIUM #4** (41 persons participated) 
12:00  12:50 pm Pizza/Refreshments served 11:30pm 
229 

Knots, Links,
and Braids, oh my! 

T 2/2 (eighteen students and two faculty participated) 
12:00  12:50 pm 
224 
FC 
The search for Bloch's constant 

T 2/9 (seventeen students and one faculty member particpated) 
12:00  12:50 pm 
229 
FC 
The invariant subspace problem 

T 2/16 (fourteen students and one faculty member participated) 
12:00  12:50 pm 
228 
FC 
Are there any
natural separable Hilbert spaces of functions on the ndimensional complex
Euclidean ball for which all composition operators are bounded? 

T 2/23
**COLLOQUIUM #5** (sixteen students and two faculty members participated) 
12:00  12:50 pm
Refreshments with the speaker, 11:30am12:00pm 
224 
(2006 Statistics Student of Dr. Clahane at UCR and now Ph.D. Candidate, Mathematics) 
UCR 
Fractal billiards (think of pool tables with edges having
nasty, jagged edges rather than straight lines that compose standard
rectangular billiards) 
T 3/2 (twelve students and one faculty member participated) 
12:00  12:50 pm 
212 
FC 
Win the lottery or solve this Clay Millennium Prize problem: Are there physically reasonable, smooth solutions to the NavierStokes equations? (These equations govern, for example, motion of fluids and turbulence  can we control climates and tidal waves?) 

Th 3/4 (UCR Fractal Research Group Seminar) (Two FC students participated) 
11:10am12:30pm 
UC Riverside ( 
FC 
Fractal membranes 

F 3/5 
911am (show up no later than 10am!) 
719 
Paul Sjoberg, supervising faculty member 
FC 
AMATYC
Student Math Competition (click on the above hyperlink for information 
F 3/5  S 3/6 
Friday night: 6pm  ? Saturday: 8am4pm Four scholarships that will pay for student registration
fees for this conference are available to FC students who want to attend –
please email Dr. Clahane as soon as possible if you would like to be
considered for one of these scholarships. 
Doubletree Hotel, 
Various 
Many 
California
Mathematics Council of Community CollegesSouth (CMC^3) Spring Conference (Click above for more info) (This annual conference is of interest to students interested
in teaching developmental and lowerdivision mathematics) 
T 3/9 (sixteen students and one faculty member participated) 
12:00  12:50 pm 
229 
FC 
Maxwell's question concerning existence of equilibria for Newtonian potentials and Rubel's
gravitational equilibrium problem (carrying a hefty $200 prize for any
correct solution): Does a universe of any dimension have either a finite or
infinite set of locations where gravitational forces allow masses at those
locations to stay at rest? NOTE: Dr. Clahane encourages any student to consult Professor Eremenko's unsolved problems link to these two interesting problems at math.purdue.edu (click on "directory" and find his web page  there you'll see a list of "unsolved problems" which include the above two problems. 

S 3/13 (Approximately thirty FC students attended [these are the
firstever FC students to ever attend a math conference!], nine FC students
and one former student spoke [these are the first FC students to ever speak
at a math conference!], and FC not only had by far the most speakers of any
college or university at the conference (tied with Pepperdine, the host), but
FC sent more students to the conference than any other community college in
the history of the conference, by far!) Congratulations to all who attended and/or spoke! In particular, congratulations to our three basic skills
(Math 40) students who spoke at the conference and thus became the first
basic skills students to ever speak at this conference! 
8am4:30pm 
(Lunch and registration are free! To reserve a seat in
one of the College vans that will be taking students and faculty to and from the
conference, email Dr. Clahane as soon as possible.) STUDENTS ARE STRONGLY ENCOURAGED TO GIVE A 1015 MINUTE
TALK AT THIS CONFERENCE  SEE DR.
CLAHANE BEFORE FEB. 26TH IF YOU WOULD LIKE GUIDANCE! (VANS WILL LEAVE FC at 6:30am to meet the CSUF and
Cypress College Math Clubs for breakfast at 8am at Pepperdine, but you can
also go on your own! 
Jin
Cho (Dr. Clahane’s Math 299 Class) Kara Godshalk (former Math 150A
student of Dr. Clahane and now graduate of Vasili Kapogianis (Stephen Plett's
Math 150B class, Dr. Dana Clahane's Math 299 class) Wilson Lee (Cerritos High School student in Dr. Clahane's Math 299 class) Matt Maldonado (also in Stephen Plett's
Math 150B class and Dr. Clahane's Math 299 class) Christina Mantas (Dr. Clahane's
Math 40 class) Demetrius Moore (Dr. Clahane's
Math 40 class) Kevin Negron (high school student in Dr. Clahane's
Math 299 class) Colleen Nelson (Dr. Clahane's Math 299 class) Reza Nikopoor (Dr. Clahane's Math 250A class) Eric Orozco (Dr. Clahane's Math 40 class) (Dr. Dana Clahane, supervising
faculty member) 

Pacific Undergraduate Mathematics Conference (Click
above to register free NO LATER than March 5th) 
T 3/16 (21 students and one faculty member participated) 
12:00  12:50 pm 
229 
FC 








MONDAY 3/22 **SPECIAL COLLOQUIUM #6** (30 students, five faculty members, and one graduate student participated) 
12:0012:50pm
Refreshments with the speaker, 11:30am12pm 
224 
UCR 
8 

T 3/23 (12 students and one faculty member participated) 
12:00  12:50 pm 
229 
Vasili Kapogianis 
FC 
Analysis on cusps 



FC 
The Equichordal Point Problem Note from Dr. Clahane: On Monday night prior to this meeting, I
learned, being a novice about this interesting problem, that it was solved
and explained in two different papers by M. Rychlik
in the mid1990’s. Hence, I chose not
to discuss this problem! Instead, we discussed: The ErdosStraus Conjecture 

T 4/6 (ten students and one faculty member participated 
12:00 – 12:50 pm 
229 
Vasili Kapogianis 
FC 
Analysis on cusps (continued) If you missed the first part of this talk, come anyway – he
will review what anyone missed from his lecture before Spring Break 



Wilson Lee (Dr. Clahane’s Math 299
student) 
( 
An introduction to fields and the question of whether or not
the sum, difference, product, or quotient of pi and e are irrational 
T 4/13 (eight students and one faculty member participated) 
12:00  12:50 pm 
1018 
Reza Nikoopor (Dr. Clahane's Math 250A
student) 
FC 
On Maxwell's question regarding equilibria
for chargedistance Newtonian potentials in Euclidean space 
(To allow time for Reza Nikopoor’s
interesting presentation, discussion of this problem has been postponed to a
future meeting 
(upcoming) 

FC 
Is every Mersenne number square
free? 

T 4/13 **SPECIAL COLLOQUIUM #7** (34 students and three faculty members participated) 
44:50pm Cookies and drinks with Ms. Ikeda served, 55:30pm 
228 
FC 
Can we
mathematically predict when and where an earthquake will occur? (Click on the above title to see Mrs. Ikeda’s Power Point
presentation for this lecture) Abstract here Flyer here 

T 4/20 (ten students and one faculty member participated) 
12:00  12:50 pm 
1018 
Derek Taylor (Dr. Clahane's
Math 250A student) 
FC 
The fourth dimension 



FC 
Legendre's conjecture, included in Landau's problem list, that for every positive integer n, there is a prime between the squares of n and n+1 

WEDNESDAY 4/21 (SPECIAL COLLOQUIUM #8) (27 students and three faculty participated) 
12:0012:50pm Refreshments with the speaker, 11:30am12:00pm 
224 
CSU 
(click on the above title to view the powerpoint
presentation for this talk) 

T 4/27 (26 students and 3 faculty present) 
12:00  12:50 pm 
229 
Matt Maldonado (Mr. Plett's
Math 150B student and Dr. Clahane's Math 299
student) 
FC 
The search for the smallest knot that can be surjectively colored by the quandle
induced by reflection on nth roots of unity in the complex plane 



FC 
Euler's conjecture (open since 1760) that there are
infinitely many primes that are the sum of 1 and the square of another
positive integer. 

T 5/4 COLLOQUIUM #9 (16 students and 2 faculty participated) 
12:0012:50pm
(Refreshments with the speaker 11:30am12pm) 
228 

Rationals, Irrationals, and Quotients of Primes (Click on the title above to view the power point
presentation) 

W 5/12 Project GPS2 Endofyear celebration 
46:30pm 
224228 
(The fabulous) Demetrius Moore (First basic skills student at FC to ever give a
Collegewide presentation at FC on an unsolved math problem!) 

The Fibonacci mysteries (For
example, are there infinitely many prime Fibonacci numbers?) 
Th
5/27 UCR Fractal Research Group Seminar 
11:10am12:30pm 
UC Riverside Mathematics Department SURGE HALL 268 (Open to the public) 
FC 
Prime membranes 
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COLLOQUIUM/ASSOCIATION HOME PAGE
This webpage was established in November 2009 Webpage visual design by Ivan Luna Colloquium flyers by Leo Postovoit Minutes by Lisa Johnson Webpage conceptual design, content, and page maintenance
by Dana Clahane (all rights reserved) Project GPS2 comanagers with Dr. Clahane on this project: Dan Martinez Support for Math Colloquia and partial administrative support to Dr. Clahane provided by Project GPS2, Office of Special Programs (Karen Rose, Director) 7149927067
