# Michelle R DeDeo

Associate Professor

Mathematics & Statistics • College of Arts & Sciences

## Areas of Expertise

Analytic number theory, Number theoretic approaches to graph theory

## Education

**University of California - San Diego**

Department of Mathematics (1993-1998)

[Department ranked #5 by the National Research Council in 1998.]

* 1998 - Ph. D. in Mathematics - Number Theory

* 1996 - M.A. in Applied Mathematics

**California State University - Los Angeles **

Department of Mathematics and Computer Science (1989-1993)

* 1993 - M.S. in Mathematics - Complex Analysis

* 1991 - B. S. in Mathematics with General Education Honors

## Biography

Over twenty years of university experience teaching a variety of students and subjects.

Has strength in combining students with technology.

Familiar with all phases and aspects of university processes.

Has served on and chaired a variety of academic and administrative committees.

## Affiliations

American Assn. of University Women, American Mathematical Society, Mathematical Assn. of America,

Assn. for Women in Mathematics, Golden Key Honor Society, Phi Kappa Phi Honor Society

## Grants and Contracts Awarded

Summer 2004 UNF Research Grant Recipient

Topic: Research on Symplectic Maps and Generalizations of the Toda Lattice

Summer 2003 University of North Florida, Summer Teaching Grant

Topic: “Computational Number Theory”

Summer 2002 UNF Research Grant Recipient

Topic: Research on Radon Transforms over k-dimensional rings

## Publications & Presentations

"On the Ramanujancy of Heisenberg graphs over Rings of degree 6 or more" with Vincent Dang and Yang Ge. Congr. Numer. 185 (2007), 111-126.

"The Spectrum of Platonic Graphs over Finite Fields" with Dominic Lanphier and Marvin Minei, Discrete Mathematics 307 (2007) pp.1074-1081

"An Introduction to Symplectic Maps and Generalizations of the Toda Lattice" with Elinor Velasquez. Congr. Numer. 169 (2004), 127-139.

"Radon transforms on (Z_k)^n" with Elinor Velasquez..SIAM J. Discrete Math 18, No. 3, pp. 472–478

"Generalized Kloosterman sums over the Rings of Order 2^r". Congressus Numerantium, 165 (2003), p.65-75.

“Zeta Functions of Heisenberg Graphs over Finite Rings" M. DeDeo, M. Martinez, A. Medrano, M. Minei, H.M. Stark, and A. Terras. In M.E.H. Ismail and Erik Koelink (eds.) "Theory and Applications of Special Functions: A volume dedicated to Mizan Rahman''

“Spectra of Heisenberg Graphs over Finite Rings” M. DeDeo, M. Martinez, A. Medrano, M. Minei, H.M. Stark, and A. Terras. PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, May 24 - 27, 2002, Wilmington, NC, USA pp. 215-222.

"An introduction to the Radon transform over k-dimensional space of Integers modulo n" with Elinor Velasquez. Congressus Numerantium, 156 (2002), p.201-209.

"Non-Ramanujancy of Euclidean Graphs over the Ring of Integers modulo 2^r” Discrete Mathematics, 265 (2003) pp.45-57.