# Academics

## Teaching Experience

- Assistant professor at
**Farmingdale State College**(2020-present) - Teaching post-doctoral fellow at
**Colorado School of Mines**(2017-2020) - Graduate Teaching Assistant at
**University of Nebraska-Lincoln**(2012-2017)

## Research Interests

**Feature Selection for Activity Detection:**Given a large set of collected data from smart home sensors, I attempt to determine which features help best predict current occupantâ€™s activity.**Energy Effenciency from Smart Home Data:**Given data from several smart home environmental sensors, I work on measuring energy effeciency of the building.**Fractional Difference Equations:**I study self-adjoint difference equations that contain fractional difference operators.**Fractional Difference Operators:**I investigate properties of the Caputo fractional difference and its relationship to the Riemann-Liouville fractional difference.

## Education

- PhD in Mathematics (2017)
**University of Nebraska-Lincoln** - MS in Mathematics (2014)
**University of Nebraska-Lincoln** - BS in Mathematics, minor in German (2012)
**University of Nebraska-Lincoln**

## Presentations

- Uniqueness and Stability of Solutions for a Coupled System of Caputo Type Nabla Fractional Difference Boundary Value Problems,
**Celebration of Scholarship**; Farmingdale State College, December 10, 2021 (based on work with Christina Jones, Danyil Blyschak, and Areeba Ikram) - Uniqueness and Stability of Solutions for a Coupled System of Caputo Type Nabla Fractional Difference Boundary Value Problems,
**Young Mathematicians Conference**; The Ohio State University, August 22, 2021 (co-faculty advisor to presenters Christina Jones and Danyil Blyschak with Areeba Ikram) - Solutions to a Three Point Boundary Value Problem in Nabla Fractional Calculus,
**Joint Mathematics Meeting**; Denver, Colorado, January 2020 (based on work with Cameron Kissler) - Application of the Contraction Mapping Theorem for Existence and Uniqueness of Solutions to Nonlinear, Fractional Difference Boundary Value Problems,
**Joint Mathematics Meeting**; Balitmore, MD, January 2019 - Unique Solutions to Nonlinear Boundary Value Problems with a Fractional Self-Adjoint Difference Equation,
**Joint Mathematics Meetings**; Atlanta, GA, January 2017 - Introduction to the Nabla Discrete Fractional Calculus,
**Joint Mathematics Meetings**(poster session); Boston, MA, January 2012 (with Lucas Castle and Katie Yochman) - Nabla Laplace Transforms and Fractional Calculus,
**Fall Central AMS Section Meeting**; University of Nebrasksa-Lincoln, October 2011 - Some Results on the Convergence of the Generalized Exponential Function on Time Scales,
**Fall Central AMS Section Meeting**; University of Nebrasksa-Lincoln, October 2011 (with Chris Ahrendt)

## Journal Publications

- Greenâ€™s Function for Boundary Value Problems Involving a Nabla Caputo Fractional Operator,
**Journal of Difference Equations and Applications**, Volume 25 Issue 6 (2019), pp 788-800 (with Cameron Kissler) arxiv.org preprint - Initial and Boundary Value Problems for the Caputo Fractional Self- Adjoint Difference Equations,
**Enlightenment in Pure and Applied Mathematics**, Volume 2 Issue 1 (2016), (with Lydia Dewolf, Liam Mazurowski, Kelsey Mitchell, Tim Rolling, and Dominic Veconi). - Laplace Transforms for the Nabla-Difference Operator and a Fractional Variation of Parameters Formula,
**Communications in Applied Analysis**, Volume 16 Issue 3 (2012), (with Lucas Castle, Michael Holm, and Katie Yochman). - Some results on the convergence of the generalized exponential function on time scales,
**Communications in Applied Analysis**, Volume 16 Issue 3 (2012), (with Chris Ahrendt).

## Dissertation and Thesis

- The Existence of Solutions for a Nonlinear, Fractional Self-Adjoint Difference Equation,
**2017 PhD Dissertation** - On the Asymptotic Properties of the Generalized Exponential Function over Isolated Time Scales,
**2012 BS Honors Thesis**