Recent Undergraduate Presentations (updated June 29, 2016)
 

Maps which preserve equality of distance. Must they be linear? Part 2-rectangular matrices-Fullerton College, March 15, 2018)

Maps which preserve equality of distance. Must they be linear? Part 1: square matrices-Fullerton College, November 16, 2017)

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Series 2, Part VII: An Introduction to Leibniz algebras (from calculus to algebra)-Fullerton College, May 16, 2017)

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Series 2, Part VI: Universal Enveloping Associative Triple systems-Fullerton College, October 18, 2016)

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Series 2, Part V: The Linking algebra of a triple system-Fullerton College, June 28, 2016)

Through the Eyes of the Mathematician (jointly with Cheryl Ooten)-Santa Ana College, May 9, 2016)

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Series 2, Part IV: Derivations, local derivations, and 2-local derivations on Jordan triples and Lie algebras-Fullerton College, February 23, 2016)

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Series 2, Part III: Local derivations on algebras and triple systems-Fullerton College, July 15, 2015

Genetic Algebras-Fullerton College, February 24, 2015 (I used the "slides" from my freshman seminar at UCI, Winter 2015)

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Series 2, Part II: A Remarkable connection between Jordan algebras and Lie algebras (continued)-Fullerton College, November 18, 2014

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Series 2, Part I: A Remarkable connection between Jordan algebras and Lie algebras-Fullerton College, July 24, 2014

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part IX: Vanishing Theorems in dimensions 1 and 2 (Jordan algebras)-Fullerton College, February 18, 2014

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part VIII: Vanishing Theorems in dimensions 1 and 2 (Associative algebras)-Fullerton College, September 17, 2013

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part VII: Cohomology of Non-associative Algebras-Fullerton College, July 25, 2013

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part VI: Cohomology of Lie Algebras-Fullerton College, March 7, 2013

NOTES: Only parts 1-4 of the above file were discussed-part 5 will be done in Summer 2013 (date TBA). The file is best viewed in Adobe Acrobat as a "2 page view" (Tip: after saving the file, open it with Adobe Acrobat then follow the menus VIEW-PAGE DISPLAY-2 PAGE VIEW).

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part V: The meaning of the second cohomology group-Fullerton College, October 25, 2012

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part IV: Cohomology of associative algebras-Fullerton College, July 26, 2012

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part III: Modules-Fullerton College, February 28, 2012

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part II: triple systems-Fullerton College, July 21, 2011

The prime number theorem and the Riemann hypothesis. A marriage of analysis and arithmetic-Marina High School, Huntington Beach, CA June 7, 2011

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part I: algebras-UCI, May 2, 2011 (Repeat of Fullerton talk of February 8)

Derivations. An introduction to nonassociative algebra (or, Playing havoc with the product rule)-Part I: algebras-Fullerton College, February 8, 2011

The Riemann Hypothesis. Part II-Fullerton College, September 14, 2010

The Riemann Hypothesis. Part I:Prime Number Theorem-Fullerton College, July 29, 2010