FULLERTON COLLEGE

Math Colloquium and Association Calendar

2009-2010 Academic Year

 

Date

Click date for minutes

Time

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)

T 9/8

2:00 - 2:50 pm

706

 

 

Organizational meeting/elections

T 9/15

2:00 - 2:50 pm

706

Dr. Dana Clahane*

FC

The Holy Grail of Mathematics: The Riemann-Zeta Conjecture

T 9/22

2:00 - 2:50 pm

119

Dr. Dana Clahane*

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.

T 9/29

2:00 - 2:50 pm

119

Dr. Dana Clahane*

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?

T 10/6

2:00 - 2:50 pm

226

Fidel Cabezas

FC

 

(now pursuing his MA in Computer Science at CSU Fullerton)

An Algorithm for Evaluating Perfectness

T 10/13

2:00 - 2:50 pm

229

Dr. Dana Clahane*

FC

1. Can positive rational numbers be recursively decomposed into finite sums of unit fractions with even denominator?

 

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 am-noon

229

Dr. Don Saari

UC Irvine

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

(Abstract Here /

Flyer Here)

T 10/20

2:00 - 2:50 pm

119

Dr. Dana Clahane*

FC

Conjectures about twin, Mersenne and Sophie Germain primes

T 10/27

2:00 - 2:50 pm

119

Dr. Dana Clahane*

FC

The Jacobian Conjecture

T 11/3

 

(eight FC students and one faculty member participated)

2:00 - 2:50 pm

226

 Dr. Dana Clahane*

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

 Dr. Dana Clahane*

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

Dr. Angel Pineda

CSU Fullerton

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)

Abstract here / Download flyer here.

T 11/24

 

(nine students and one faculty member participated)

2:00 - 2:50 pm

226

Dr. Dana Clahane*

FC

Finding a dynamical systems explanation for orbital behavior of celestial objects, such as the recently discovered braid-like 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 four-year 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 problem-solving! 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!

10am-1pm; 3pm-6pm

 

616

Dr. Dana Clahane, supervising faculty member 

 

2009 William Lowell Putnam Mathematical Competition at Fullerton College (Fullerton College's first-ever entry)

 

Click here for old exams and solutions - time yourself one half hour on each problem and then compare your solution to these)

T 12/8

 

**COLLOQUIUM #3**

(approximately ten persons in attendance)

2:00 - 2:50 pm

 

Refreshments served from 1:30 - 2 pm

226

Dr. Scot Childress

UC Riverside

Analysis on a Corner

(Click here for abstract)

 

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 COLLEGE CENTER, BUILDING 200, UPSTAIRS

Date

Time

Room

Speaker

Affiliation

Title of Talk

T 1/19

(eight students and one faculty member participated)

12:00 - 12:50 pm

1018

Dr. Dana Clahane*

FC

Frobenius' Conjecture:

 If a finite group's order is divisible by n and n is the number of nth roots of unity in the group, do those roots form a subgroup?

T 1/26

 

**COLLOQUIUM #4**

(41 persons participated)

12:00 - 12:50 pm

Pizza/Refreshments served 1-1:30pm

229

Dr. Alissa Crans

Loyola Marymount University 

Knots, Links, and Braids, oh my!

Download Abstract Here

Download Flyer Here

T 2/2

(eighteen students and two faculty participated)

12:00 - 12:50 pm

224

Dr. Dana Clahane*

FC

The search for Bloch's constant

T 2/9

 

(seventeen students and one faculty member particpated)

12:00 - 12:50 pm

229

Dr. Dana Clahane*

FC

The invariant subspace problem

T 2/16

 

(fourteen students and one faculty member participated)

12:00 - 12:50 pm

228

Dr. Dana Clahane*

FC

Are there any natural separable Hilbert spaces of functions on the n-dimensional 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, 11:30am-12:00pm

224

Robert Niemeyer

(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)

Download Flyer Here

T 3/2

 

(twelve students and one faculty member participated)

12:00 - 12:50 pm

212

Dr. Dana Clahane*

FC

Win the lottery or solve this Clay Millennium Prize problem: Are there physically reasonable, smooth solutions to the Navier-Stokes 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)

11:10am-12:30pm

UC Riverside

(SURGE Building, Room 268)

Dr. Dana Clahane

FC

Fractal membranes

F 3/5

9-11am (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: 8am-4pm

 

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, Anaheim

Various California math faculty members

Many

California Mathematics Council of Community Colleges-South (CMC^3) Spring Conference

 

(Click above for more info)

 

(This annual conference is of interest to students interested in teaching developmental and lower-division mathematics)

T 3/9

 

(sixteen students and one faculty member participated)

12:00 - 12:50 pm

229

Dr. Dana Clahane*

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 first-ever 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!

8am-4:30pm

Pepperdine University (Malibu)

(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 10-15 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 Lehigh University in math and finance)

 

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

Dr. Dana Clahane*

FC

  1. Are 10 and others, not just 1, lonely numbers?

 

 

 

 

 

  1. Pre-lecture for Dr. Baez' 3/22 Special Colloquium: vectors, dot products, cross products, their geometric significance, quaternions

MONDAY 3/22

**SPECIAL COLLOQUIUM #6**

 

(30 students, five faculty members, and one graduate student participated)

12:00-12:50pm

 

Refreshments with the speaker, 11:30am-12pm

224

Dr. John Baez

UCR

8

Abstract here

Flyer here

T 3/23

 

(12 students and one faculty member participated)

12:00 - 12:50 pm

229

Vasili Kapogianis

FC

Analysis on cusps

 

 

 

Dr. Dana Clahane*

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 mid-1990’s.  Hence, I chose not to discuss this problem!

 

Instead, we discussed:

 

The Erdos-Straus 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)

(Cerritos High School and FC)

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 charge-distance 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)

 

Dr. Dana Clahane*

FC

Is every Mersenne number square free?

T 4/13

**SPECIAL COLLOQUIUM #7**

 

(34 students and three faculty members participated)

4-4:50pm

 

Cookies and drinks with Ms. Ikeda served, 5-5:30pm

228

Nancy Ikeda

FC

Seismo-math:

 

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

 

 

 

Dr. Dana Clahane*

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)

12:00-12:50pm

Refreshments with the speaker, 11:30am-12:00pm

224

Dr. Saleem Watson

CSU Long Beach

The Borsuk Problem

(click on the above title to view the powerpoint presentation for this talk)

 

Abstract here

Flyer here

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

 

 

 

Dr. Dana Clahane*

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)

 

12:00-12:50pm

 

(Refreshments with the speaker 11:30am-12pm)

228

Dr. Stephan Garcia

Pomona College

Rationals, Irrationals, and Quotients of Primes

(Click on the title above to view the power point presentation)

 

Abstract here

W 5/12

 

Project GPS2 End-of-year celebration

4-6:30pm

224-228

(The fabulous)

Demetrius Moore

 

(First basic skills student at FC to ever give a College-wide 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

11:10am-12:30pm

UC Riverside Mathematics Department

 

SURGE HALL 268

 

(Open to the public)

Dr. Dana Clahane*

FC

Prime membranes

 

 

BACK TO THE MATH 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 co-managers 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)

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