Emily J. King

pure & applied harmonic analysis, data analysis, (algebraic, geometric, and combinatorial methods in) frame theory, and signal and image processing



Upcoming Talks

  • October 22-23, 2022, Special Session on Algebraic Combinatorics and its Application to Harmonic Analysis, AMS Western Sectional Meeting, University of Utah, USA: "Switching Equivalence on the Grassmannian"
  • October 24-28, 2022, Mathematical Advances for Multi-Dimensional Microscopy, IPAM Workshop, Institute for Pure and Applied Mathematics, Los Angeles, USA: "PCA is not dead: Vectorized persistent homology and flag medians"
  • November 21-25, 2022, Workshop in Harmonic Analysis, Sampling Theory, Machine Learning, and Data Science, IMAS (Institute of Mathematical Research, Luis A. Santaló), Buenos Aires, Argentina: Title TBA
  • December 4-9, 2022, Session on the Mathematics of Information, 2022 Pacific Rim Mathematical Association Congress, Vancouver, Cananda: Title TBA
  • [TENTATIVELY POSTPONED TO FALL 2022 DUE TO COVID-19] September 17-19, 2020, Workshop on Applied Algebra in Data Science, Leipzig, Germany: Title TBA
  • [POSSIBLY COMPLETELY CANCELED DUE TO COVID-19] March 26-April 1, 2022, ALCOMA 20 (international conference on algebraic combinatorics and applications), Kloster Banz, Germany: “Combinatorics and Group Symmetry in [Hilbert Space] Frames”


08.18.2022: Congrats to Lander ver Hoef, who just passed his preliminary oral exam on "Using Mathematical Techniques to Leverage Domain Knowledge in Image Analysis for Earth Science."

07.27.2022: Congrats to Harley Meade, who just passed her preliminary oral exam on "A combinatorial and algebraic approach to classifying spark of frames from discrete Fourier transform matrices."

07.01.2022: As of today, I am a tenured associate professor.

06.30.2022: Congrats to Sören Schulze, who starts a new position at LaVision BioTec tomorrow.

05.31.2022: You can watch my talk in the CodEx Seminar on "The Combinatorics of Equiangular Tight Frame Substructures" (which was part of a series replacing the planned Special Session on Recent Advances in Packing at the Joint Mathematics Meetings) here.

05.09.2022: You can watch my talk at the Fields Institute on "Subspace Configurations and Some Applications" here.

04.28.2022: I recently came across this picture from 2019 of me with one of my mathematical parents, John Benedetto, and some of my mathematical siblings, nieces, and nephews.

Jubilee Benedetto Students Photo
© Norbert Wiener Center, UMD

04.22.2022: I forgot to post a link to my talk in the Algebraic Graph Theory Seminar at the University of Waterloo back in November. You may watch it here.

02.03.2022: Congrats to Sören Schulze, who successfully defended his doctoral thesis on “Blind Source Separation in Single-Channel Polyphonic Music Recordings.” He is currently interviewing for a position in industry.


01.10.2022: My talk “A Potpourri of Mathematical Analyses of Neural Networks” in the One World Mathematics of INformation, Data, and Signals (1W-MINDS) Seminar is up on YouTube. The video is here.

08.11.2021: Clay Shonkwiler, John Jasper, and I joined Dustin Mixon to give commentary on Steven Strogatz's interview for the new 3b1b podcast. Check it out here.

05.07.2021: Congrats to Harley Meade, who successfully passed her Qual Part 2 with her talk "On Characterizing which Submatrices of DFTs are Full Spark."

05.06.2021: Congrats to Lander ver Hoef, who successfully passed his Qual Part 2 with his talk "Topological Data Analysis for Identifying Convection from Satellite Imagery."

03.27.2020: Andreas Hilboll (IUP, Uni Bremen), who co-organzied the Minisymposium on Inverse Problems in Atmospheric Remote Sensing at Applied Inverse Problems 2015, Helsinki, Finland with Johanna Tamminen and me, passed away due to COVID-19 on March 25. He was 42 years old.

02.19.2020: Congrats to Lennart Abels, who successfully defended his master's thesis entitled “Randomized Image Decomposition and Reconstruction – RIDeR” today. He plans to continue his studies as a doctoral student.

02.11.2020: I forgot to mention the recent write-up in the CSU Source about the data science hires in comp sci and stat and myself.



09.30.2019: You can check out my talk at the Jubilee of Fourier Analysis and Applications: A Conference Celebrating John Benedetto's 80th Birthday, entitled “Grassmannian Frames and the Game of Sloanes” here. (Note that there are some issues with the slides showing up in the video.) I will be giving a handful of seminar and colloquium talks at other universities this semester:

  • October 8, 2019, Colloquium of the Mathematics and Statistics Department, Vassar College: “Combinatorics and Group Symmetry in [Hilbert Space] Frames.” For more information, click here.
  • November 26, 2019, Image Analysis Seminar, University of Houston: Title TBA. For more information, click here.
  • December 10, 2019, Algebraic Lie Theory Seminar, University of Colorado: “Lie Algebras, Coxeter Groups, and Quantum Information Theory.” For more information, click here.
I will also be returning to Germany twice in March 2020 to speak at two very different but both interesting events.

I am now located at Colorado State University, which means

  • The announcements will now be written in first person. I would like to thank the wonderful Katie Lorenz, who among many other duties also set up and maintained the group website at the University of Bremen, which is for now still being hosted.
  • The dates will now be written month.day.year.
I would also like to thank my former doctoral student Rafael Reisenhofer, who generated the image of the shearlet at the top of the page.

If you are at CSU and want to learn more about my research, you should come by one of the seminar talks that I'll be giving over the next few weeks.
  • Thursday, September 5, 2 p.m., Weber 223 Seminar in Inverse Problems: “Sparsity-Based Inpainting and Data Separation”
  • Friday, September 13, 5 p.m., Weber 223 Rocky Mountain Algebraic Combinatorics Seminar: “Combinatorics and Group Symmetry in [Hilbert Space] Frames”
  • Thursday, September 26, 1 p.m., Weber 223 Data Science Seminar: “Low Complexity Models in Image Processing and Data Analysis”
  • Thursday, October 3, 3 p.m., Applied Math Seminar: “Shearlet Theory and Applications”

31.07.2019: Congratulations and a bittersweet farewell

We congratulate Prof. Emily King, who has led the research group for the last 5 1/2 years, on her appointment as Assistant Professor at Colorado State University. We are very grateful for the dedication and direction she gave our group and wish her all the best.

Prof. Jörg Lücke, head of the Machine Learning Lab at Carl von Ossietzky University Oldenburg will be visiting the group and giving a series of two talks on Monday, May 13 and Monday, June 17. The title of the first talk is Very Large-Scale Clustering, Variational Optimization and k-Means. The title of the second talk is Probabilistic Sparse Coding Approaches - Discrete Latents, Non-Gaussian Noise and Non-linear Superpositions.

Volkswagen Stiftung wrote a nice article about Interdisciplinary College 2019: From Data to Insight, held March 12-19 at Lake Möhnesee/Günne, Germany, which Prof. Emily King co-chaired.

Prof. Emily King is co-organizing a minisymposium "Algebra, Geometry, and Combinatorics of Subspace Packings" at the 2019 SIAM Conference on Applied Algebraic Geometry, which will take place from July 9-13, 2019 in Bern, Switzerland. For more information, click here.

Jubilee of Fourier Analysis and Applications: A Conference Celebrating John Benedetto’s 80th Birthday, a conference co-organized by Prof. Emily King, has been selected as an Institue for Mathematics and its Applications PI Conference.

Prof. Emily King is the co-spokesperson (with Prof. Dr. Ralf Bachmayer) for the University of Bremen for the recently approved research school called called Helmholtz School for Marine Data Science (MarDATA). This is a data science school in marine sciences, oceanography, deep-sea observations, robotics, bioinformatics, supercomputer, and big data statistics.  The involved institutions are GEOMAR Helmholtz Centre for Ocean Research Kiel, Alfred-Wegener-Institute (AWI), Kiel University, University of Bremen, and Jacobs University Bremen.

Computational Data Analysis welcomes Prof. Ilya Krishtal from Northern Illinois University for a research visit November 26-27, 2018.

Sören Schulze will be visiting Monika Dörfler at the University of Vienna from November 26 - December 7, 2018 for a research visit.

Prof. Emily King will be speaking at SampTA in Bordeaux, which will take place from July 8-12, 2019. 

We congratulate Dr. Rafael Reisenhofer on his successful doctoral defense as well as the fellowship he was awarded as part of the Lise-Meitner-Programm and wish him all the best for his project "Depth and discriminability in deep learning architectures" with Philipp Grohs at the University of Vienna.

Computational Data Analysis welcomes Prof. Dustin Mixon from Ohio State University for a research visit June 9 - 12, 2018. He will give a talk on "A semidefinite relaxation of k-means clustering" at 4:15 pm on Monday, June 11 in MZH 7200. He will also give the weekly Mathematisches Kolloquium talk at 4:00 pm on Tuesday, June 12 in MZH 6210. The colloquium talk is entitled "Open problems in finite frame theory: Packings in projective spaces"; more info may be found here.

Prof. Emily King is co-organizing a Special Session "Low Complexity Models in Data Analysis and Machine Learning" at the 2019 Joint Mathematics Meetings, which will take place January 16-19, 2019 in Baltimore, Maryland, USA. For more information, click here.

Prof. Emily King is co-organizing an Oberwolfach Mini-Workshop "Algebraic, Geometric, and Combinatorial Methods in Frame Theory," which will take place on September 30 - October 6, 2018 at the Mathematical Research Institute of Oberwolfach in Oberwolfach, Germany. For more information, click here.

Prof. Emily King will be giving a talk at the DMS Colloquium at Auburn University at 4:00 p.m. on March 30, 2018. The title of the talk will be "(Hilbert Space) Frames, Algebraic Combinatorics, and Geometry." For more information, click here.

Prof. Dustin Mixon (Ohio State University) wrote a nice blog post about Tight Frames and Approximation 2018, held February 20-23 at Taipa, New Zealand. The write-up includes a summary of the talk Prof. Emily King gave there.

Rafael Reisenhofer is co-organizing a Young Researcher Minisymposium "YRM4: Mathematical theory of deep learning" at the 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), which will take place on February 18-22, 2019 in Vienna, Austria. For more information, click here.

Prof. Emily King will be giving a talk at the Lothar-Collatz-Kolloquium für Angewandte Mathematik at the University of Hamburg at 5:15 p.m. on February 1, 2018. The title of the talk will be "Shearlet Theory and Applications." For more information, click here.

Prof. Emily King will be giving the colloquium talk at the Alfred Wegener Institute for Polar and Marine Research at 2 p.m. on January 17, 2018. The title of the talk will be "Optimal Representation Systems and Sparsity." For more information, click here.

Computational Data Analysis welcomes Dr. E. J. Bekkers from the Technische Universiteit Eindhoven for a research visit January 10 - 12, 2018. He will be speaking at 2 p.m. on January 11 in MZH 4140.