# Jameson Cahill

I obtained my Ph.D in Mathematics from University of Missouri under the supervision of Pete Casazza. My main research interests are in applied harmonic analysis and mathematical aspects of signal processing and data analysis, especially phase retrieval, compressed sensing, and classification of signals under group actions. I also have done and continue to do quite a bit of work in finite frame theory.

## Preprints

- Jameson Cahil, Andres Contreras, and Andres Contreras-Hip, Classifying signals under a finite Abelian group action: the finite dimensional setting, in preparation.
- Jameson Cahill and Peter G. Cassazza, Optimal Parseval frames: total coherence and total volume, submitted
__arXiv__ - Jameson Cahil, Andres Contreras, and Andres Contreras-Hip, Complete sets of translation invariant measurements with Lipschitz bounds, submitted
__arXiv__

## Peer-reviewed Journal Articles

- Jameson Cahill, Peter G. Casazza, John I. Haas, and Janet Tremain, Constructions of biangular tight frames and their relationships with equiangular tight frames, Frames and Harmonica Analysis, AMS Contemporary Math. (2018)
__arXiv__ - Jameson Cahill, Dustin G. Mixon, Nate Strawn, Connectivity and irreducibility of algebraic varieties of finite unit norm tight frames, SIAM J. Appl. Alg. Geom (SIAGA) 1.1 (2017) 38-72.
__arXiv__ - Jameson Cahill, Peter G. Casazza, and Ingrid Daubechies,
__Phase retrieval in infinite-dimensional Hilbert spaces__, Trans. Am. Math. Soc. Series B, 3 (2016) 63-76 - Jameson Cahill, Xuemei Chen, Rongrong Wang, The gap between the null space property and the restricted isometry property, Linear algebra and its applications 501(2016): 363-375.
__arXiv__ - Jameson Cahill, Peter G. Casazza, Martin Ehler, Shidong Li,
__Tight and random non-orthogonal fusion frames__, in Trends in Harmonic Analysis and its Applications, AMS (2015). - Saeid Bahmanpour, Jameson Cahill, Peter G. Casazza, John Jasper, Lindsey M. Woodland,
__Phase retrieval and norm retrieval__, in Trends in Harmonic Analysis and its Applications, AMS (2015). - Jameson Cahill, Peter G. Casazza, Jesse Peterson, Lindsey Woodland,
__Phase retrieval by projections__, Houston J. Math. 42, No. 2 (2016), 537-558 - Afonso Bandiera, Jameson Cahill, Dustin G. Mixon,
__Saving phase: Injectivity and stability for phase retrieval__, Appl. Comput. Harmon. A. 37 No. 1 (2014), 106-125. - Bernhard Bodmann, Jameson Cahill, Peter G. Casazza,
__Fusion frames and the restricted isometry property__, Numer. Func. Anal. Opt. \textbf{33} No. 7-9 (2012), 770-790. - Jameson Cahill, Peter G. Casazza, Gitta Kutyniok,
__Operators and frames__, J. Operat. Theor. 70 No. 1 (2013), 145-164. - Boris Alexeev, Jameson Cahill, Dustin G. Mixon,
__Full spark frames__, J. Fourier Anal. Appl. 18 No. 6 (2012), 1167-1194. - Jameson Cahill, Matthew Fickus, Dustin G. Mixon, Miriam J. Poteet, Nate Strawn,
__Constructing finite frames of a given spectrum and set of lengths__, Appl. Comput. Harmon. A. 35 No. 1 (2013), 52-73. - Jameson Cahill, Peter G. Casazza,
__The Paulsen problem in operator theory__, Oper. Matrices 7 No. 1 (2013), 117-130. - Jameson Cahill, Peter G. Casazza, Shidong Li,
__Non-orthogonal fusion frames and sparsity of the fusion frame operator__, J. Fourier Anal. Appl. 18 No. 2 (2012), 287-308. - Jameson Cahill, Shidong Li,
__Dimension invariance of finite frames of translates and Gabor frames__, Adv. Comput. Math. 37 No. 4 (2012), 505-520.

## Other Publications

- Jameson Cahill, Dustin Mixon, Nate Strawn,
__Connectivity of spaces of finite unit-norm tight frames__, Proceedings of SPIE 2015, San Diego. - Jameson Cahill, Peter G. Casazza, John Jasper, Lindey M. Woodland,
__Phase retrieval__, Proceedings of SPIE 2015, San Diego. - Jameson Cahill, Peter G. Casazza, Jesse Peterson, Lindsey Woodland,
__Using projections for phase retrieval__, Proceedings of SPIE 2013, San Diego. - Afonso Bandiera, Jameson Cahill, Dustin G. Mixon,
__Fundamental limits of phase retrieval__, Proceedings of SampTA 2013, Bremen, Germany. - Jameson Cahill and Xuemei Chen,
__A note on the scalability of frames__, Proceedings of SampTA 2013, Bremen, Germany. - Jameson Cahill, Shidong Li,
__Grassmannians in frame theory__, Proceedings of SPIE 2011, San Diego. - Jameson Cahill, Peter G. Casazza, Shidong Li,
__Non-orthogonal fusion frames__, Proceedings of SPIE 2011, San Diego. - Jameson Cahill, Peter G. Casazza, Andreas Heinecke,
__A notion of redundancy for infinite frames__, Proceedings of SampTA 2011, Singapore. - Jameson Cahill, Nate Strawn,
__Algebraic geometry and finite frames__, in Finite Frames and Applications, Birkhauser (2012). 141-170. - Jameson Cahill,
__Frames and projections__, PhD. Dissertation, University of Missouri, 2013. - Jameson Cahill, Flags, frames, and Bergman spaces, Masters thesis, San Francisco State University, 2009.