2019/2020 Department of Mathematics Events 
Tues, October 1 
Algebra Seminar

Thurs, October 3
11:00 am 
Analysis and Applications
"Average Length of the Longest Path in Acyclic Orientations on Complete Bipartite Graphs" Jessica Khera Located  SE 215 
Mon, October 7
4:00 pm 
Crypto Café
"Cryptanalysis of NewHope " Shaun Miller Located  SE 215 
Tues, October 29 SE 215 
Algebra Seminar: Matthew Toeniskoetter, Visiting Assistant Professor of Mathematics, Harriet L. Wilkes Honors College 
October 8  31 4:00 pm  7:00 pm 
Math Bootcamp

October 11  November 22 
Graduate Student Seminar Schedule

Thurs. October 31 11:00 am SE 215 
Analysis and Application Seminar: Dr. Hidehiko Inagaki, Max Planck Florida Institute of Neuroscience
Title: Discrete attractor dynamics underlying shortterm memory in the frontal cortex The SIAM Student Chapter will host and provide refreshments! 
Sat, November 2 
Data Science and Analytics Conference

Mon, November 4 10:00 am SE 215 
MS Presentation: Dominic Gold, Florida Atlantic University Title: Possible Applications of TDA Techniques to Digital Image Authentication Abstract: We will use the technique of persistent homology from the field of topological data analysis. This tool allows us to analyze data on a point cloud and identity unique features of said cloud that persist across multiple levels of "connectedness." Such features include any clusters, holes, and voids created by connecting and filling in the space between close points, where is allowed to vary. In that manner, we can see precisely when certain features are "born" and whether or not they "die" or persist. As persistent homology is robust to perturbations of the input data and provides a compact description of said input, it is appealing to believe that one may even analyze encrypted data with it. This presentation will include explicit examples of the calculations done on simplicial complices, the main structure that persistent homology apples too. However, the setting may be also transferred to that of a cubical complex, which is helpful in analyzing digital images if we treat each pixel like a point, identified by its RBG value. 
Tue, November 12 4:00 pm SE 215 
Dr. Lee Klingler, Florida Altaintic University Title: Semiclean Group Rings Abstract: Let R be a commutative ring. We call R a clean ring if every element of R can be written as the sum of a unit and an idempotent. The notion of a clean ring was originally deﬁned by Nicholson [1977] in a study of exchange rings and lifting of idempotents. Ye [2003] introduced the notion of semiclean rings: R is called a semiclean ring if every element of R can be written as the sum of a unit and a periodic element, where r is called periodic if there are natural numbers k < n such that a^k = a^n. In joint work (in progress) with Warren McGovern, we attempt to determine necessary and sufficient conditions on a discrete valuation ring R and a finite abelian group G that the group ring R[G] be semiclean. 
Fri, November 15 10:00 am SE 215 
MS Presentation: John White, Florida Atlantic University Title: An Examination of the Schrodinger Equation Abstract: The Schrodinger equation is a linear partial differential equation that describes the energy levels and the wave function of a quantum particle. The discovery of the Schrodinger equation was a vital key in the development of quantum physics. This presentation will examine the derivation of the equation, some solutions, and some examples of the equation in action. 
Fri, November 15 11:00 am SE 215 
PhD Dissertation Defense: Omar Babun Codorniu, Florida Atlantic University; Advisor: Dr. XiaoDong Zhang Title: Characterization of Linear Isometries on Complex Sequence Spaces Abstract: A linear operator acting on a Banach space is called an isometry if it preserves the norm of the space. An interesting problem is to determine the form or structure of a linear operator by knowing that it is an isometry. This can be done in some instances. This dissertation presents several theorems that provide necessary and sufficient conditions for some linear operators acting on finite and infinite dimensional sequence spaces of complex numbers to be isometries. In all cases, the linear operators have the form of a permutation of the elements of the sequences in the given space, with each component of each sequence multiplied by a complex number of absolute value 1.

Fri, November 15 4:00 pm SE 215 
FAU Department of Mathematical Sciencew Coloquium: Dr Joel Rosenfeld, University of South Florida
Arranged by the FAU student chapters of SIAM and the AMS Title: Interfacing Occupation Kernels with Dynamic Mode Decomposition for the Analysis of Continuous Time Systems Abstract: In this presentation, we will demonstrate how to incorporate trajectories as the fundamental unit of data in a reproducing kernel Hilbert space (RKHS) framework. The principle objects of study are occupation kernels, which interact with Liouville operators over RKHSs in much the same way that Liouville operators interact with occupation measures over the Banach space of continuous functions as investigated by Lasserre and his colleagues. The objective of this presentation is to demonstrate how these occupation kernels can be integrated into the kernelbased extended DMD framework initiated by Williams and Rowley to enable the direct DMD analysis of continuous time systems. 
Sat, November 16 
AMC Middle School Math Day

November 18 4 pm SE 215 
Title: Mersenne Cryptography system

Mon, November 18 SE 215 5:30 pm 
MS Presentation: Christian Corbett, Florida Atlantic University Title: pExtensions Abstract: We consider extensions of noncommutative rings. We define an extension from R to S to be a left (right) pextension if every principally generated left (right) ideal of S is generated by an element of R. The pextension from R to S where R and S are unital commutative rings has been wellstudied. We aim to generalize the theory of pextensions to the noncommutative case. 
January 4  7, 2020 
Logical Foundations in Computer Science
Wyndham, Deerfield Beach, Florida 
January 6  8, 2020 
International Symposium on Artificial Intelligence and Mathematics, 2020
Sonesta Fort Lauderdale, Florida 
January 24  25, 2020 
Florida Geogebra Conference
Friday Jan 24  Pompano Beach High School Saturday Jan 25  Florida Atlantic University 
Thurs, January 30, 2020 
American Mathematics Competition 10/12A
Annual AMC Contests for Middle and High School Students FAU Boca Raton Campus 
Weds, February 5, 2020 
American Mathematics Competition 10/12A
Annual AMC Contests for Middle and High School Students FAU Boca Raton Campus 
March 9  13, 2020 
Southeastern International Conference on Combinatorics, Computing, and Graph Theory
Student Hospitality Center 
Sat, March 14, 2020 
FAU Math Day
16th Annual FAU Math Day FAU Boca Campus 