## Accomplishments by Jorge Garcia

### 2014

#### Exhibitions / Presentations:

- "Prey and Predator Activities." Paper delivered at California Mathematics Council-Southern Section. . Palm Springs, CA, Nov 2, 2013. (http://www.cmc-south.org/uploads/1/0/3/2/10324481/final_version_10_16_13_pages_1-64.pdf)

#### Publications:

- "Applications of Mogulskii, and Kurtz-Feng Large Deviation Results to Risk Reserve Processes with Aggregate Claims." with A. Meda.
*Applied Mathematics*. Vol. 3 No. 12A Special Issue Dec 1, 2012. 2109-2117. (http://www.scirp.org/journal/PaperInformation.aspx?PaperID=26048#.UyhfD-ddU_0)

#### Other Activities:

- "A Fibonacci Simple Ecosystem: Prey and Predator."
*Teaching Children Mathematics*. Vol. Volume 20, No. Issue 6 Feb 1, 2014. 392-396. (bit.ly/1ooxh3c) *Women in STEM: Barriers and Difficulties*. with L. O'Conner. Two panels event at CI where 6 women from STEM areas came to talk about the joys, barriers and difficulties they faced through their paths.. Broome Library. Dec 4, 2013. (http://math.csuci.edu/eventos/)- "Paradoxes and Shocking Outcomes in Math: Do You Still Believe in Math?." Thousand Oaks Library Talk Series. About 120 attendees, including elderly, children and high school students.. Thousand Oaks, CA. Dec 4, 2013. (http://www.ftol.org/newsletter/FOCUS2013Oct.pdf)
*Chilfasa Web-Site*. Website. Chicano/a Lation/a Faculty and Staff Association. Jul 1, 2013. (http://math.csuci.edu/chilfasa/)- iSTEM. Teaching Children Mathematics,. 2012. (http://www.nctm.org/publications/toc.aspx?jrnl=tcm)

### 2012

#### Exhibitions / Presentations:

- "TEchnology Activities for Algebra Teachers: Games and Technology for Easy Access to Algebraic Pratices." Paper delivered at California Mathematics Council- Northern Section. Asilomaar, Dec 2, 2012. (http://cmc-math.org/activities/downloads/2012%20Asilomar%20Program.pdf)
- "Technology Activities for Algebra Teachers." Paper delivered at California Mathematics Council-Southern Section. Palm Springs, Nov 3, 2012. (http://www.cmc-south.org/uploads/1/0/3/2/10324481/cmc-south_conference_program_2012.pdf)

#### Publications:

- "Applications of Mogulskii, and Kurtz-Feng Large Deviation Results to Risk Reserve Processes with Aggregate Claims." with A. Meda.
*Applied Mathematics*. Vol. 3 No. 12A Special Issue Dec 1, 2012. 9. (http://www.SciRP.org/journal/am) - "The Complexities of Teaching Prime Decomposition and Multiplicative Structure with Tools to Preservice Elementary Teachers." with T. Kurz.
*Journal of Research in Education*. Vol. 22 No. 2 Fall 2012 Oct 1, 2012. 24. (http://www.eeraonline.org/journal/files/v22/JRE_v22n2_Article_7_Kurz.pdf) - "Moving Beyond Factor Trees." with T. Kurz.
*Teaching Children Mathematics: Mathematical Explorations*. Vol. 18 No. 1 Aug 1, 2012. 52-60. (http://www.nctm.org/publications/article.aspx?id=33669) - "Discovering Mexico Through Math." with T. Kurz.
*Teaching Children Mathematics*. Vol. 18 No. 8 Apr 1, 2012. 472-473. (http://www.nctm.org/publications/article.aspx?id=32640)

#### Other Activities:

- Journal Editor. "National Council of Teachers of Mathematics:Teaching Children Mathematics." Reston, VA. Dec 1, 2012. (http://www.nctm.org/publications/article.aspx?id=31416)
- "Outstanding Presentation" winners "On Constructible Sets" for the JMM poster session, students: Tyler Bongers and Walter Morales, adviser: Jorge Garcia. Joint Mathematics Meetings. 2012. (http://www.maa.org/students/undergrad/PosterWinnersJMM12.pdf)

### 2011

#### Other Activities:

*Statistics Workshop for Oxnard College Mathematics Faculty*. Workshop: Training on the use of SPSS as well as model student assignments. Oxnard College. Sep 21, 2011. (http://www.oxnardcollege.edu/departments/academic/STEM/STEM%20FPR%202011.pdf)

### 2010

#### Exhibitions / Presentations:

- "El Juego de 15 y sus generalizaciones." Presented to UAEH-CSU Channel Islands Joint Meeting. Pachuca Hidalgo, Mexico. May 2010.
- "Uniform Exponential Tightness Vs. Exponential Stochastic Boundedness." Presented to SMM-MMS Joint Meeting. Vancouver, Canada. 2009. (http://cms.math.ca/Events/CMS-SMM-2009/abs/pdf/pr.pdf)

#### Publications:

- "Prime decomposition using tools." with T. Kurz.
*Teaching Children Mathematics*. Vol. 17 No. 4 November 2010. 256-260. (http://www.nctm.org/eresources/article_summary.asp?URI=TCM2010-11-256a&from=B) - "Going Green." with T. Kurz.
*National Council of Teachers of Mathematics*. Vol. 17 No. 3 October 2010. 138-141. (http://www.nctm.org/eresources/article_summary.asp?URI=TCM2010-10-138a&from=B) - "Helping a young child connect fact family addition and subtraction using tools. In L. Paditz and A. Rogerson (Eds.)." with H. Yanik and T. Kurz.
*Proceedings of the 10th International Conference for The Mathematics Education into the 21st Century Project, "Models in Developing Mathematics Education", Dresden, Saxony, Germany.*. September 2009. 353. (http://math.unipa.it/~grim/21_project/Kurz353-357.pdf)

#### Other Activities:

*Master Thesis Advisor*. with L. Contreras. "The Skokhod Topology". CSU Channel Islands, Camarillo, CA. 2010.*Master Thesis Advisor*. with P. Rabinadth. Equilibrium Forces on a Parallelogramig Table. CSU Channel Islands, Camarillo, CA. 2010.*Master Thesis Advisor*. with J. Detgen. Constructible Sets. CSU Channel Islands, Camarillo, CA. 2010.

### 2009

#### Other Activities:

*Worskshop 2009 Biosphere Summer Institute STEM Enrichment Activities*. with C. Wyels. Students were guided through some basic stats calculations using SPSS while also discussing ways to think about and approach the use of statistics.. CSU Channel Islands. Jun 1, 2009. (http://www.oxnardcollege.edu/departments/academic/STEM/APR%202008-09%20Report%202.pdf)

### 2008

#### Exhibitions / Presentations:

- "The Risk Process on Long Runs." Presented to Mathematics Seminar. California Lutheran University, Thousand Oaks. December 2008.
- "Uniform Controlled Variations Vs. Uniform Exponential Tightness." Presented to Sciences School, National University of Mexico. Mexico D.F., Mexico. November 2008.
- "Workshop: Beamer Mathematics Presentations." Presented to Graduate Mathematics Seminar. CSUCI. October 2008.
- "Cards Trick: Mathemagics." Presented to Third UAEH-CSUCI Joint Meeting. Universidad AutÃ³noma del Estado de Hidalgo, Mexico. May 2008.
- "Paradoxes in Mathematics." Presented to Undergraduate CSUCI Math Seminar. CSUCI. March 2008.
- "Maximal Pebbling Distribution." Presented to Graduate Mathematics Seminar. CSUCI. March 2008.
- "Workshop: LATEX: Mathematics Professional Typing." Presented to Graduate Mathematics Seminar. CSUCI. March 2008.

#### Publications:

- "Convergence of Stochastic Integrals and SDE's Associated to Approximations of the Gaussian White Noise."
*Advances and Applications in Statistics*. Vol. 10 No. 2 December 2008. 155 - 177.

#### Other Activities:

*Mathematics Program at CSUCI*. Website. I designed this huge web-site, it is 100% 509-508 compliant and it provides information about events and directories, it has about 20 subpages.. January 2009. (http://math.csuci.edu/)*Thesis Advisor*. Investment Betters Algorithm, Student Jarrod Long, Masters in Mathematics and Computer Sciences Thesis at CSUCI.. CSUCI. December 2008.*iPhone Mobile and Standard Web-Site Design and Maintanance of Mathematics Website.*. Website. Design of the mathematics program website and creation of an iPhone mobile site were implemented, enhanced each year and maintained since 2004 and 2008 respectively.. June 2008. (http://math.csuci.edu/)

### 2007

#### Exhibitions / Presentations:

- "Family Math Night." Presented to Montalvo School. Ventura, CA. February 2008.
- "Mathemagics." Presented to Undergraduate CSUCI Math Seminar. CSUCI. January 2008.
- "A Large Deviation Principle of Stochastic Integrals." Presented to Univerisity of Hidalgo. Hidalgo, Mexico. January 2008.

#### Publications:

- "A Large Deviation Principle for Stochastic Integrals."
*Journal of Theoretical Probability*. Dec 18, 2007. NA. (http://www.springerlink.com/content/105605/?k=jorge+garcia)

### 2006

#### Exhibitions / Presentations:

- "Family Math Night." with M. Brookshire. Presented to University Preparation School. Camarillo, CA. Mar 10, 2006.
- "Maple Workshop." Presented to CSUCI. SB 134. Mar 2, 2006.

#### Publications:

- "Visual Fraction-Addition Teaching Method."
*Journal of Mathematical Sciences and Mathematics Education*. Vol. 2 No. 1 February 2007. N/A. (http://hdl.handle.net/10139/287)

### 2005

#### Exhibitions / Presentations:

- "Foundation of Mathematics for Pre-School." Presented to University Preparation School. Camarillo, CA. March 2005.

#### Other Activities:

- Juror. "Science Fair." 100. Thousand Oaks, CA. Feb 12, 2006. (http://www.lareina.com)
- Juror. "Ventura County Science Fair." 25. Camarillo, CA. Apr 27, 2005. (http://www.vcsf.us/2005%20Call%20for%20Judges.pdf)
- Juror. "Science Poster Competition, MAA USC." 100. University of South California. Mar 5, 2005. (http://www.westmont.edu/~dhunter/scsmaa/news_w05.pdf)
*ScoMan*. Website. Software to Handle the Scores of Your Students. March 2005. (http://www.maplesoft.com/applications/app_center_view.aspx?AID=1660&P=mr200503)

### 2004

#### Exhibitions / Presentations:

- "Maple Software Workshop." Presented to California State University Channel Islands. Camarillo, CA. September 2004.
- "Impossiblities in Mathematics." Presented to Autonomous University of Hildago. Chihuahua, Mexico. August 2004.
- "Almost Compact Functions." Presented to Autonomous State University of Hildalgo. Chihuahua, Mexico. August 2004.
- "Calculus in Action, Three Presentations." Presented to Oxnard High School. Oxnard, CA. April 2004.
- "Large Deviations." Presented to California Lutheran University, California State University Channel Islands, and Pepperdine University Mathematics Seminar. February 2004.
- "Mr. Limit Presents." Presented to California State University Channel Islands faculty. Camarillo, CA. February 2004.

#### Publications:

- "An Extension of the Contraction Principle."
*Journal of Theoretical Probability*. Vol. 17 No. 2 April 2004. 403-434. (http://hdl.handle.net/10139/245)

### 2001

#### Exhibitions / Presentations:

- "Latex Workshop." with Y. Behpour. Presented to CSUCI. Camarillo, CA. Nov 30, 2005.

#### Other Activities:

- "Summer Research at Madison Wisconsin." Faculty Development MIni-Grant, CSUCI. $5000. 2005.