Resume

• 2015

  First Christian Church (Disciples of Christ)

  Public Speaking

  Teaching

  Mathematica

  Curriculum Development

  Calculus

  Mathematical Modeling

  Algebraic Topology

  Combinatorics

  Tutoring

  Computational Mathematics

  LaTeX

  Discrete Mathematics

  Algorithms

  Linear Algebra

  College Teaching

  Algebra

  University Teaching

  Research

  Theory

  Higher Education

  Symmetric Homology of Algebras

  Symmetric Homology of Algebras

  Bott periodicity in the Hit Problem

  Charles Kicey

  Table of Contents\n1 Lattice Paths and Corridors\n2 One-Dimensional Lattice Walks\n3 Lattice Walks in Higher Dimensions\n4 Corridor State Space\nA Review: Complex Numbers\nB Triangular Lattices\nSelected Solutions\nIndex

  Counting Lattice Paths Using Fourier Methods

  Sudhir Goel

  Georgia Journal of Science

  74(2)

  Article 20

  Using simple concepts that middle and high school students should be able to grasp

  including “clock face arithmetic

  ” the standard multiplication table

  and adding the digits of a number together

  more abstract concepts such as modular arithmetic and cyclic groups may be introduced at an early stage in the students’ mathematical career. We find this approach to be organic and appealing to most students

  encouraging them to think in different ways about familiar objects

  and we encourage educators to test the concepts in their own classrooms.

  Introducing Abstract Mathematics through Digit Sums and Cyclic Patterns

  Undergraduate topology textbook with hundreds of illustrations

  exercises

  and other features. Balancing mathematical rigor with intuitive and hands-on demonstration of concepts.

  Understanding Topology: A Practical Introduction

  Rene J. Perez

  Abstract—We use speech recognition algorithms daily with our phones

  computers

  home assistants

  and more. Each of these systems use algorithms to convert the sound waves into useful data for processing which is then interpreted by the machine. Some of these machines use older algorithms while the newer systems use neural networks to interpret this data. These systems then produce an output generated in the form of text to be used. A large amount of training data is needed to make these algorithms and neural networks function effectively.\nIndex Terms—Speech recognition

  neural network

  Markov model

  Gaussian mixture model

  principal component analysis

  K-means clustering

  EM algorithm

  maximum likelihood

  MIXFIT.

  On Speech Recognition Algorithms

  In this short paper we examine a curious feature of the Collatz\nfunction. When the sequences generated by the Collatz function on consecutive\ninteger initial points are arranged into an array

  certain arithmetic sequences\nshow up with common differences given by products of twos and threes. The\ncommon differences themselves are further related by a formula that depends\non even versus odd input. While we do not solve the Collatz Conjecture by\nthis observation

  we present our findings as interesting mathematical results\nin their own rights.

  Arithmetic sequences and blocks of powers of two in the Collatz array

  Erd˝os-Szekeres Tableaux

  Nicholas Courtois

  Statistics of random permutations and the cryptanalysis of periodic block ciphers

  Guifen Mao

  William K. Porter

  Sean D. Holcomb

  The goal of this paper is to give insight into what the company\nknown as DeepMind is and what accomplishments it is making in\nthe fields of Machine Learning and Artificial Intelligence. Among\ntheir accomplishments

  particular focus will be placed upon the\nrecent success of AlphaGo Zero which made waves in the\nmachine learning and artificial intelligence communities. The\nvarious parts of AlphaGo Zero’s implementation such as\nreinforcement learning

  neural networks

  and Monte Carlo Tree\nSearches will be explained with brevity to give better\nunderstanding of the process as a whole.

  Overview on DeepMind and Its AlphaGo Zero AI

  Guifen Mao

  Mallory Helms

  Machine learning is quickly becoming a major field of research\nfor many technology companies. Google

  perhaps

  is at the\nforefront of this movement and have instituted an entire research\nteam called Google Brain to explore the technical aspect and\napplications of large scale neural networks. Thus far

  the group\nhas developed advancements in the areas of natural language\nrecognition

  open-source deep learning software

  and healthcare\nrelated uses for computer vision assisted diagnosis.

  An Overview of Google Brain and Its Applications

  William Singer

  On the homology of elementary Abelian groups as modules over the Steenrod algebra

  Charles Kicey

  Counting paths in corridors using circular Pascal arrays

  Homology Operations in Symmetric Homology

  Relations among the kernels and images of Steenrod squares acting on right A-modules

  Implementation of Stanley’s algorithm for projective group imbeddings

  Shaun

  Ault

  Valdosta State University

  Fordham University

  Valdosta

  GA

  Department Head - Mathematics

  Valdosta State University

  Valdosta

  Georgia

  Assistant Professor

  Valdosta State University

  Valdosta

  GA

  Teaching 4-4 load with research and service expectations. Current research interests: algebraic topology

  enumerative combinatorics

  and computational mathematics.

  Associate Professor

  Valdosta State University

  Bronx

  NY

  Post-doctoral research and teaching position.

  Assistant Professor

  Fordham University

  Society for Industrial and Applied Mathematics (SIAM)

  American Mathematical Society (AMS)

  Honorary Inductee

  Pi Mu Epsilon

  Mathematical Association of America (MAA)

  International honors society in education

  Kappa Delta Pi

• 2014

  IRB

  Valdosta State University Office of Career Opportunities

• 2002

  Doctor of Philosophy (Ph.D.)

  Research area: algebraic topology. \nThesis: \"On the Symmetric Homology of Algebras.\" \nAdvisor: Zbigniew Fiedorowicz.

  Mathematics

  VIGRE Fellow

  The Ohio State University

• 1997

  English

  Bachelor of Music (B. Mus.)

  Music Composition

  Oberlin Conservatory of Music

  Bachelor of Arts (B.A.)

  Mathematics

  Oberlin Gilbert and Sullivan Players

  Oberlin College

  Graduate faculty status

  Valdosta State University

• Shaun Ault | Valdosta State University - Academia.edu

  Shaun Ault | Valdosta State University - Academia.edu

  Habitat for Humanity International

  Participant (fundraising)

  Relay for Life

  Den Leader (various dens)

  Boy Scouts of America > Cub Scouts