Cherre Jefferson

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Participant: PROMISE AGEP Research Symposium, 2014

Cherre Jefferson
Department: Applied Mathematics
Institution: University of Maryland, Baltimore County (UMBC)

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ABSTRACT

The effectiveness of cell phones, radios, fax machines, PCs and barcodes for which electronic digital information is transmitted from one machine to another heavily relies on the theory of Algebraic Coding. ACT (Algebraic Coding Theory) is the theory of transmitting information in the most effective manner and has no relation to secret codes. It was created in the 1940s to respond to the practical communication issues at the time. In fact, ACT is one of the most widely used applications of Mathematics, especially in this world today of immediate communication. The process of encoding messages into longer codes with redundancy which enables the receiving communication device to decode, detect and/or correct any errors created during transmission is called Forward Error Detection/Correction (FEDC). This research focuses on the explanation of the basic principles of FEDC. While exploring the various types of block codes, which is one of the three well known methods of FEDC, we also analyzed the efficiency of certain error correction codes by calculating the probability of successful decoding of a transmitted message. The Block Codes we decided to focus on are Repetition Codes and Linear Codes with an emphasis on Hamming Codes.

BIOGRAPHICAL SKETCH

Cherre Jefferson  is from Washington, DC. She received her bachelor’s degree in Pure Mathematics from Morgan State University in December 2011. While at Morgan, she was a Gateway Scholar, a passionate mathematics tutor, enthusiastic member of MSU’s Mu Alpha Tu Mathematics Club and an active researcher. Cherre’s research experience includes working under Dr. Leon Woodson in the area of game theory at the University of Maryland, College Park as an intern for SPIRAL. Next, she worked under Dr. Gaston N’Guerekata as an HBCU-Up fellow and Stephen’s fellow. Her research, “The Existence of Mild Solutions to Semi-linear Fractional Diffusion Equations” won best poster presentation. Cherre’s senior thesis on Algebraic Coding Theory was conducted under the advisement of Dr. Marshall Cohen. Lastly, she attended Rutgers University’s summer REU, DIMACS and worked on a topic pertaining to billiards and geometry. Upon graduating, she worked for a year and a half as an adjunct assistant professor  and program research assistant for MSU.

Currently, Cherre Jefferson is a doctoral student in the Applied Mathematics department at University of Maryland, Baltimore County. She is a Bridge to Doctorate fellow. At UMBC, she is interested in following the Differential Equations track. In addition to being a graduate student, she became Senator of the Math & Stat GSA, a member of AMS and the UMBC SIAM Student Chapter, and began volunteering for the Math & Science Upward Bound Program. After graduating, Cherre is interested in employment at the DOD and/or DOE as a researcher.

SELECTED LIST OF PRESENTATIONS AND PUBLICATIONS

1. Research Title: “The Existence of Mild Solutions to Semi-linear Fractional Diffusion Equations”

Conference Name: 2010 AGMUS (Ana G. Méndez University System ) Research Symposium, San Juan, Puerto Rico
September 10-11, 2010
Type of Presentation: Poster
Awards: Best Poster Presentation

Conference Name: CAARMS 16 (Conference for African-American Researchers in the Mathematical Sciences)
Baltimore, MD
June 27-28, 2011
Type of Presentation: Poster

2. Research Title: “Algebraic Coding Theory”

Conference Name: 18th Annual Undergraduate and Graduate Research Symposium
Baltimore, MD
April 20, 2011
Type of Presentation: Oral

3. Research Title: “Unfair Dice”

Conference Name: NAM’s (National Association of Mathematicians) Undergraduate MATHFest XIX
Washington, DC
November 12-14, 2009
Type of Presentation: Oral

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