Curriculum Vitae

Academic Positions

• Air Force Institute of Technology

Assistant Professor, Fall 2022-present

• South Dakota State University

Assistant Professor, Fall 2017-Spring 2022

• University of Cincinnati

Visiting Assistant Professor, Fall 2015-Spring 2017

• University of Oregon

Courtesy Instructor, Fall 2014-Spring 2015

• University of Missouri

Postdoctoral Fellow, Fall 2011-Spring 2014

• University of Oregon

Graduate Teaching Fellow, Fall 2005-Spring 2011

• Western Washington University

Teaching Assistant, Fall 2003–Spring 2005

Education

• University of Oregon, Eugene, OR

  • Ph.D. in Mathematics, June 2011

    • Dissertation Topic: Infinite Dimensional Generalizations of the Schur-Horn Theorem

    • Advisor: Marcin Bownik

  • M.S. in Mathematics, March 2007

• Western Washington University, Bellingham, WA

  • B.S. in Mathematics, June 2003

  • Magna cum laude

Research Interests

Operator theory, applied harmonic analysis, and combinatorial designs

Publications

here

Funding

• (2018-2021) National Science Foundation, Division of Mathematical Sciences Grant 1830066, Program on Algorithms for Threat Detection, “ATD: Collaborative Research: Theory and Algorithms for Real-Time Threat Detection from Massive Data Streams,” $98,222 . I am the Co-PI. The PI is Dr. Dustin G. Mixon of the Ohio State University.

Conferences organized

• Special Session on Frame Theory at the AMS Spring Southeastern Sectional Meeting, College of Charleston. March 10-12, 2017. (co-organized with D. G. Mixon and J. Solazzo)

• Special Session on Recent Advances in Packing at the AMS Spring Central Sectional Meeting. Ohio State University, March 16-18, 2018. (co-organized with D. G. Mixon and J. W. Iverson)

• Special session on frame theory at the 13th International Conference on Sampling Theory and Applications (SampTA 2019). University of Bordeaux. July 8, 2019 (co-organized with D. G. Mixon)

Invited Presentations

• "The Schur-Horn Theorem for Operators with Three Point Spectrum," Louisiana State University, Workshop in Analysis and Geometry, January 2011.

• "Existence of frames with prescribed norms and frame operator,” Texas A&M University, Operator Algebras, Frames, and Undergraduate Research: A Conference in Honor of the 70th Birthday, of David R. Larson, July 2012.

• "Spectra of frame operators with prescribed frame norms,” University of Colorado, AMS Sectional Meeting, April 2013.

• "Unimodular equiangular tight frames from resolvable Steiner systems," San Diego, CA, SPIE Optics + Photonics, August 2013.

• "Kirkman equiangular tight frames,” Washington University, AMS Special Session on Wavelets, Frames, and Related Expansions, October 2013.

• "Two new constructions of equiangular tight frames,” Michigan State University, AMS Special Session on Frames, Wavelets and Their Applications, March 2015.

• "Infinite dimensional Schur-Horn theorems,” Oregon State University, Analysis Seminar, April 2015.

• "Infinite dimensional Schur-Horn type theorems,” University of Cincinnati, Functional Analysis Semiar, April 2015.

• "Tremain equiangular tight frames,” San Diego, CA, SPIE Optics + Photonics, August 2015.

• "Thompson’s theorem,” University of Cincinnati, Functional Analysis Seminar, September 2015.

• "Tremain equiangular tight frames and strongly regular graphs”, University of North Dakota, AMS Special Session on Frames, Wavelets and Gabor Systems, April 2016.

• "Equiangular tight frames from association schemes,” Vanderbilt Univeristy, Computational Analysis Seminar, October 2016.

• "Equiangular tight frames from association schemes,” Georgia Institute of Technology, Analysis Seminar, November 2016.

• "Equiangular tight frames from association schemes,” Joint Mathematics Meetings AMS Special Session on Lie Group Representations, Discretization, and Gelfand Pairs, January 2017.

• "Equiangular tight frames from association schemes," Portland State University, AMS Special Session on Wavelets, Frames, and Related Expansions, April 2018.

• "Equiangular tight frames from group divisible designs," Vanderbilt University, 7th International Conference on Computational Harmonic Analysis, May 2018.

• "Equiangular tight frames from group divisible designs," Vanderbilt University, Sixteenth International Conference on Approximation Theory, May 2019

• "Equiangular tight frames from nonabeilan groups," Bern, Switzerland, SIAM Conference on Applied Algebraic Geometry, July 2019.

• “Equiangular tight frames from association schemes,” University of Wisconsin-Madison, AMS Special Session on Association Schemes and Related Topics - in Celebration of J.D.H. Smith’s 70th Birthday, September 2019.

• "Diagonals of operators in finite and infinite dimensions," University of Nebraska-Lincoln, Math Department Colloquium, October 2019.

• "Harmonic equiangular tight fames and their combinatorial generalizations," Joint Math Meetings, AMS Special Session on Group Actions in Harmonic Analysis, January 2020.