Michelle R. DeDeoWelcome to Dr. Michelle R. DeDeo's Web Page Department of Mathematics and Statistics
1 UNF Dr.
Jacksonville, Fl 32224
Bldg. 14/ Rm. 2728

Number Theory
  T Th F 12:40- 2:20pm
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I am writing a book in Finite Math, researching statistics on medical data, odd perfect numbers and data of epilepsy patients!

Welcome to my Web Page. As you can see this page includes links to my personal as well as my academic life. I invite you to browse the site and get to know me, the people in my life, and my work. 

I do research in computational science with specialties in medical statistics, properties of graphs, spectral graph theory, theoretical models of communication networks and the related Fourier and Radon analysis associated with graphs. I also love number theory and complex analysis in single variables.

I also work with Mayo Clinic - Jacksonville as a Research Collaborator doing statistical and data analysis.

I graduated with my Ph.D. from the University of California at San Diego in 1998. My adviser Audrey Terras is a wonderful mathematician and friend. I am also grateful for all of the help from Harold Stark and Ron EvansFan Chung Graham is also an influence of mine as well as Winnie Li.

There are three men and a dog in my life who are very important to me: Ethan, Noah, Brad and Kipper, our Australian Shepard. I also have photos of some of my trips: Vail (2009-10), Breckenridge, Belize, Honduras, Mexico, Hawaii, Sweden, Denmark, England, Whistler, B.C. and Big Sky, Montana, river rafting in Venezuela, scuba diving in Hawaii, Costa Rica, Turks & Caicos, Cozumel, Caymans and Aruba. In past years I have visited 24 countries on 3 continents.

Research Intensive Endeavors...topics include...

  •     EEG Analysis on Bipolar Montages of Pediatric Epilepsy Patients using EEGLAB
  •     Association with Refusal of Treatment and Survivability for patients diagnosed with glioblastoma (NCDB database)
  •     Odd perfect numbers
  •     Socio-economic Analysis of the DEA's ARCOS database using ArcGIS and Python
  •     Energy of Graphs
  •     ...and more!

                                        Everbank Building - 2013
Over the Edge for Boy Scouts
450 ft down the Everbank Building, Downtown Jacksonville

List of Mathematical Reviews

MR3996348 Reviewed Ding, Yuchen; Zhou, Haiyan Subset sums over Galois rings. J. Number Theory 205 (2019), 148–169. (Reviewer: Michelle R. DeDeo) 11T24 (05A15 05A16 11B13)
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MR3964251 Reviewed Choe, Hyok; Choe, Chunghyok The k-subset sum problem over finite fields of characteristic 2. Finite Fields Appl. 59 (2019), 175–184. (Reviewer: Michelle R. DeDeo) 11T24 (11T71)
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MR3912936 Reviewed Kalmynin, A. B. Large values of short character sums. J. Number Theory 198 (2019), 200–210. (Reviewer: Michelle R. DeDeo) 11L07
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MR3803730 Reviewed Tu, Fang-Ting; Yang, Yifan Evaluation of certain hypergeometric functions over finite fields. SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), Paper No. 050, 18 pp. (Reviewer: Michelle R. DeDeo) 11T23 (11G05 11G30 11T24)
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MR3759792 Reviewed Momihara, Koji; Xiang, Qing Strongly regular Cayley graphs from partitions of subdifference sets of the Singer difference sets. Finite Fields Appl. 50 (2018), 222–250. (Reviewer: Michelle R. DeDeo) 05E30 (05B10)
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MR3648527 Reviewed Zhang, Wen Peng; Li, Xiao Xue The fourth power mean of the general 2-dimensional Kloostermann sums modp. Acta Math. Sin. (Engl. Ser.) 33 (2017), no. 6, 861–867. (Reviewer: Michelle R. DeDeo) 11L05
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MR3536006 Reviewed Lu, Yaming Mean value of Kloosterman sums over short intervals. Chin. Ann. Math. Ser. B 37 (2016), no. 5, 743–752. (Reviewer: Michelle R. DeDeo) 11L05
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MR3354946 Reviewed Atanasov, Risto; Budden, Mark; Lambert, Joshua Character difference digraphs over finite fields. Rend. Semin. Mat. Univ. Padova 133 (2015), 103–115. (Reviewer: Michelle R. DeDeo) 05C30 (05C20 11T24)
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MR3276346 Reviewed Lin, Yi-Hsuan; Tu, Fang-Ting Twisted Kloosterman sums. J. Number Theory 147(2015), 666–690. (Reviewer: Michelle R. DeDeo) 11L05
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MR3309823 Reviewed Ghayekhloo, Somayeh; Erfanian, Ahmad; Tolue, Behnaz The generalised non-commuting graph of a finite group. C. R. Acad. Bulgare Sci. 67 (2014), no. 8, 1037–1044. (Reviewer: Michelle R. DeDeo) 05C25
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MR3223318 Reviewed Bourgain, J.; Garaev, M. Z. Kloosterman sums in residue rings. Acta Arith. 164(2014), no. 1, 43–64. (Reviewer: Michelle R. DeDeo) 11L05
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MR3185227 Reviewed Aoki, Noboru On sign ambiguities of multiplicative relations between Gauss sums. Comment. Math. Univ. St. Pauli 62 (2013), no. 2, 143–171. (Reviewer: Michelle R. DeDeo)11L05
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MR3108074 Reviewed Maeda, Taiki Gauss sums on GL2(Z/plZ). J. Algebra 396 (2013), 98–116. (Reviewer: Michelle R. DeDeo) 11L05
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MR3081777 Reviewed Demirci Akarsu, Emek; Marklof, Jens The value distribution of incomplete Gauss sums. Mathematika 59 (2013), no. 2, 381–398. (Reviewer: Michelle R. DeDeo) 11L05
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MR3016560 Reviewed Bassalygo, L. A.; Zinoviev, V. A. On divisibility of exponential sums of polynomials of special type over fields of characteristic 2. Des. Codes Cryptogr. 66 (2013), no. 1-3,129–143. (Reviewer: Michelle R. DeDeo) 11L05 (11T23 12E10)
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MR2944570 Reviewed Xia, Lingli; Yang, Jing Sign or root of unity ambiguities of certain Gauss sums.Front. Math. China 7 (2012), no. 4, 743–764. (Reviewer: Michelle R. DeDeo) 11L05 (11T24)
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MR2813459 Reviewed Zhang, Xiyong; Guo, Hua; Gao, Zongsheng Characterizations of bent and almost bent function on Z2p. Graphs Combin. 27 (2011), no. 4, 603–620. (Reviewer: Michelle R. DeDeo) 11L05 (05B15 11T71)
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MR2718845 Reviewed Yang, Jing; Xia, LingLi Complete solving of explicit evaluation of Gauss sums in the index 2 case. Sci. China Math. 53 (2010), no. 9, 2525–2542. (Reviewer: Michelle R. DeDeo) 11L05 (11T24 11T71)
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MR2661385 Reviewed Storm, Christopher An infinite family of graphs with the same Ihara zeta function. Electron. J. Combin. 17 (2010), no. 1, Research Paper 82, 8 pp. (Reviewer: Michelle R. DeDeo) 05C38 (05A15)
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MR2601046 Reviewed Gurak, S. Gauss sums for prime powers in p-adic fields. Acta Arith. 142 (2010),no. 1, 11–39. (Reviewer: Michelle R. DeDeo) 11L05 (11S85)
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MR2592482 Reviewed Omidi Koma, B.; Panario, D.; Wang, Q. The number of irreducible polynomials of degree n over Fq with given trace and constant terms. Discrete Math. 310 (2010), no. 8, 1282–1292. (Reviewer: Michelle R. DeDeo) 11T06
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MR2537711 Reviewed Gurak, Stanley J. Kloosterman sums for prime powers in p-adic fields. J. Théor. Nombres Bordeaux 21 (2009), no. 1, 175–201. (Reviewer: Michelle R. DeDeo) 11L05 (11S85)
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MR2516974 Reviewed He, Yuan; Liao, Qunying On an identity associated with Weil's estimate and its applications. J. Number Theory 129 (2009), no. 5, 1075–1089. (Reviewer: Michelle R. DeDeo) 11L05
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MR2435063 Reviewed Moisio, Marko; Ranto, Kalle Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients prescribed. Finite Fields Appl. 14 (2008), no. 3, 798–815. (Reviewer: Michelle R. DeDeo) 11L05 (11G20 11T06 11T23)
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MR2397155 Reviewed Varbanets, S. P. The norm Kloosterman sums over Z[i]. Analytic and probabilistic methods in number theory/Analiziniai ir tikimybiniai metodai skaičių teorijoje, 225–239, TEV, Vilnius, 2007. (Reviewer: Michelle R. DeDeo) 11L05
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Review PDF Clipboard Series Chapter 2 Citations
MR2310293 Reviewed Motohashi, Y. Sums of Kloosterman sums revisited. The Conference on L-Functions, 141–163, World Sci. Publ., Hackensack, NJ, 2007. (Reviewer: Michelle R. DeDeo) 11L05 (11F72)
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MR2275479 Reviewed Liu, Hua Ning; Zhang, Wen Peng General Kloosterman sums and the difference between an integer and its inverse modulo q. Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 1, 77–82. (Reviewer: Michelle R. DeDeo) 11L05 (11T24)
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MR2257593 Reviewed Kwak, Jin Ho; Sato, Iwao Zeta functions of line, middle, total graphs of a graph and their coverings. Linear Algebra Appl. 418 (2006), no. 1, 234–256. (Reviewer: Michelle R. DeDeo)05C50 (11M41)
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MR2196576 Reviewed Zhang, Wenpeng On the fourth power mean of the classical Kloosterman sums.Proceedings of the 16th International Conference of the Jangjeon Mathematical Society, 180–187, Jangjeon Math. Soc., Hapcheon, 2005. (Reviewer: Michelle R. DeDeo) 11L05
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MR1973260 Reviewed Conder, Marston D. E.; Marušič, Dragan A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer. J. Combin. Theory Ser. B 88 (2003), no. 1, 67–76. (Reviewer: Michelle R. DeDeo) 05C25 (05C38)
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MR1881928 Reviewed Lucido, Maria Silvia Groups in which the prime graph is a tree. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 5 (2002), no. 1, 131–148. (Reviewer: Michelle R. DeDeo) 05C25 (05C05 20D60)
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Review PDF Clipboard Journal Article 10 Citations
MR1849089 Reviewed Gurak, Stanley Period polynomials for Fp2 of fixed small degree. Finite fields and applications (Augsburg, 1999), 196–207, Springer, Berlin, 2001. (Reviewer: Michelle R. DeDeo) 11T22 (11T24)

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