I got my PhD under the direction of Alex Iosevich from the University of Missouri in 2011. I then held a position as a postdoctoral researcher at the University of Delaware Mathematics Department. I am currently an Assistant Professor at Missouri State University. There are some lecture notes available. You can download a .pdf of my full CV here. Many of my preprints are available on the arXiv. My dissertation is available here. I am a managing editor of the Online Journal of Analytic Combinatorics and I have refereed for the Electronic Journal of Combinatorics.

Spring 2013 - MATH 829

*Erdős distance problem*, with J. Garibaldi and A. Iosevich,
AMS Student Library Series, 56, (2011).

*On the number of distinct values of a class of functions with finite domain,*
with Robert Coulter, (to appear soon in Annals of Combinatorics).

* Tracking Time-dependent Scalar Fields with Swarms of Mobile Sensors, * with Josh Kirby, Marco Montes de Oca, Louis F. Rossi, and Chien-Chung Shen, Proc. of the 7th IEEE International Conference on Self-Organizing Systems (SASO '13), Philadelphia, PA, USA. T. Holvoet et. al. (Eds.) IEEE Computer Society Press, Los Alamitos, CA, USA, pp. 159--168, (2013).

*Distance graphs in vector spaces over finite fields,*
with D. Hart, A. Iosevich, D. Koh, and Ignacio Uriarte-Tuero,
Recent Advances in Harmonic Analysis and Applications, Volume 25, 139-160, (2013).

*A note on the multiplicative structure of an additively shifted product set, AA+1,*
Integers: The Electronic Journal of Combinatorial Number Theory, A34, (2013).

*Swarm Interpolation Using an Approxiamte Chebyshev Distribution,*
with Joshua Kirby, Marco A. Montes de Oca, Louis F. Rossi, and Chien-Chung Shen,
8th International Conference, ANTS 2012, Brussels, Belgium, September 12-14, 2012, Proceedings.

*Sharpness of Falconer's estimate in continuous and arithmetic settings,
geometric incidence theorems, and distribution of lattice points in convex domains,*
with Alex Iosevich, (to appear soon in the CANT 2011 proceedings).

*On sets of directions determined by fractal subsets of the
Euclidean space,* with A. Iosevich and M. Mourgoglou,
Journal d'Analyse Mathematique 116 (1), 355-369, (2012).

*An analog of the Furstenberg-Katznelson-Weiss theorem on triangles
in sets of positive density in finite field geometries,*
with D. Covert, D. Hart, A. Iosevich, and I. Uriarte-Tuero,
Discrete Math. 311, no. 6, 423-430, (2011).

*A low complexity replacement scheme for erased frame coefficients,*
with Bernhard Bodmann, Peter G. Casazza, and Gitta Kutyniok,
Proceedings of SPIE, Wavelets XIII, San Diego (2009) pp. 744600-1-10.

*Error correction for erasures of quantized frame coefficients,*
with Bernhard Bodmann, Peter G. Casazza, and Gitta Kutyniok,
Proceedings of SAMPTA (2009), http://www.latp.univ-mrs.fr/SAMPTA09.

*Orthogonal systems in vector spaces over finite fields,*
with A. Iosevich, Electronic J. of Combinatorics, Volume 15, December (2008).

*Acquiring and maintaining abstract landmark chunks for cognitive robot
navigation,* with R. H. Luke, J. M. Keller, and M. Skubic,
Intelligent Robots and Systems, 2005. (IROS 2005).
2005 IEEE/RSJ International Conference on.

May 22, 2013, CUNY - Combinatorial and Additive Number Theory Conference
*A multi-scale approach to the Erdős-Falconer type single distance problems*
lecture notes

May 23, 2012, CUNY - Combinatorial and Additive Number Theory Conference
*Combinatorial estimates of the size of an image set*

October 20, 2011, Gettysburg College - Math Colloquium
*Brothers and laser beams: a brief peek at incidence geometry via graph theory*

May 27, 2011, CUNY - Combinatorial and Additive Number Theory Conference
*Consequences and connections of recent results in geometric combinatorics*

March 24, 2011, Indiana University
*On the relationships between several problems in geometric combinatorics*

December 10, 2010, Rochester Institute of Technology - IEEE Meeting
*From design to implimentation: Vision and VLSI*

December 6, 2010, University of British Columbia - CMS Meeting
*Some connections between discrete and continuous geometric combinatorics, with recent illustrative results-- sharpness examples.*

November 10, 2010, University of Rochester
*Geometric interactions with some problems in additive number theory.*

October 15, 2010, CUNY - Graduate Seminar
*Elementary proof of Elekes's sums and products result.*
lecture notes

October 14, 2010, CUNY
*Some connections between discrete and continuous geometric combinatorics, with recent illustrative results-- hinge estimates.*

May 27, 2010, CUNY - Combinatorial and Additive Number Theory Conference
*Sharpness of Falconer's estimate, geometric incidence theorems, and distribution of lattice points in convex domains, II.*

May 21, 2008, CUNY - Combinatorial and Additive Number Theory Conference
*Orthogonal systems in vector spaces over finite fields.*

February 2012, University of Maryland, Norbert Wiener Center - February Fourier Talks
*Reliability of swarming alrogithms for mobile sensor network applications*
lecture notes

February 2009, University of Maryland, Norbert Wiener Center -
February Fourier Talks
*Orthogonal systems in vector spaces over finite fields*