Department of Mathematics

IMA 2015: Modern Harmonic Analysis and Applications

University of Maryland, College Park, MD
July 20-August 7, 2015

IMA Program Application Form


This program is for graduate students from both IMA Participating Institutions (IMA PI) as well as other U.S. universities. We expect to be able to fund up to 35 students from IMA Participating Institutions and 15 students from other U.S. universities. In order to participate, students must complete the online application form, provide a personal statement, and submit (1) a letter of nomination from the PI chair (for students from an IMA PI) or (2) a recommendation letter (for students from institutions that are not an IMA PI).

The main portion of this program consists of a three-week summer school for graduate students to be held in Summer 2015 on the campus of the University of Maryland. It will focus on modern harmonic analysis and applications.

Specifically, we intend to cover topics from Fourier and time-frequency analysis, finite frame theory, sparse transforms, geometric and analytic methods for modeling big data.

The instruction in the summer school comprises seven four-day-long lecture series including a foundational tutorial and supplemented by computer lab works. The objectives are to (i) quickly review the basic materials (tutorial); (ii) focus on the developments of the last 10 years; and (iii) provide a glimpse of the state of current research and open problems.

Most of the materials intended to be covered in (ii) and (iii) are at this point not easily accessible—not covered in any textbooks, courses, or even survey articles—they are only available in the form of original research papers or preprints. It is our hope that the summer school will bring these materials to graduate students, postdocs, and in general, any nonspecialist.


Guest Lecturers

Check the poster and the IMA program homepage. For questions, write to conference organizers.

Main Lectures

  • Fourier Analysis (John Benedetto, UMD)
  • Frames and Time-Frequency Analysis (Chris Heil, GaTech)
  • Preconditioning of Finite Frames (Kasso Okoudjou, UMD)
  • Nonlinear Analysis with Frames (Radu Balan, UMD)
  • Sparse Fourier Transform (Anna Gilbert, UM)
  • Geometric and Analytic Methods for Modeling Data and Applications (Gilad Lerman, UMN)
  • Dictionary Learning with Geometric Multiresolution Analysis and Data-Driven Convolutions (Nate Strawn, Georgetown)
  • Harmonic Analysis and Big Data (Wojtek Czaja, UMD)

Background Material and Lecture Notes

Fourier Analysis
Frames and Time-Frequency Analysis
Preconditioning of Finite frames
Nonlinear Analysis with Frames
Sparse Fourier Transform
Dictionary Learning and Data-Driven Convolutions
Harmonic Analysis and Big Data


All lectures will take place in Computer Science Instructional Center (CSI) Horwitz lecture room CSI 1115.
Problem sessions will take place in the Mathematics Building (MATH). The following rooms within the main library inside the MATH department are available to the HAA program participants: MATH 1403A, the laptop lounge, the large space downstairs. Additionally we shall use the Computer Lab in MATH 3207.
Week 1
  Monday, 7/20 Tuesday, 7/21 Wednesday, 7/22 Thursday, 7/23 Friday, 7/24
9:00am-10:15am John Benedetto (CSI)* John Benedetto (CSI) John Benedetto (CSI) John Benedetto (CSI) Chris Heil (CSI)
10:30am-12:00pm John Benedetto (CSI)** Chris Heil (CSI) Chris Heil (CSI) Chris Heil (CSI) Chris Heil (CSI)
2:00pm-4:00pm Problem Sessions (MATH) Problem Sessions (MATH) Problem Sessions (MATH) Problem Sessions (MATH) Explore the monuments in downtown DC

* 9:00am-9:15am : Opening Remarks; First lecture: 9:15am-10:30am
** Second lecture: 10:45am-12:00pm
Week 2
  Monday, 7/27 Tuesday, 7/28 Wednesday, 7/29 Thursday, 7/30 Friday, 7/31
9:00am-10:30am Kasso Okoudjou (CSI) Kasso Okoudjou (CSI) Radu Balan (CSI) Anna Gilbert (CSI) Anna Gilbert (CSI)
10:45am-12:15pm Kasso Okoudjou (CSI) Radu Balan (CSI) *** Anna Gilbert (CSI) Radu Balan (CSI) *** Anna Gilbert (CSI)
2:00pm-4:00pm Computer Labs (MATH) Computer Labs (MATH) Computer Labs (MATH);
Reception at 6:00pm in MATH building
Computer Labs (MATH) Computer Labs (MATH)

*** 10:45am-12:30am

Week 3
  Monday, 8/3 Tuesday, 8/4 Wednesday, 8/5 Thursday, 8/6 Friday, 8/7
9:00am-10:15am Nate Strawn (CSI) Nate Strawn (CSI) Wojtek Czaja(CSI) Wojtek Czaja (CSI) Wojtek Czaja (CSI)
10:45am-12:00pm Nate Strawn (CSI) Nate Strawn (CSI) Wojtek Czaja (CSI) Wojtek Czaja (CSI) Wojtek Czaja (CSI)
2:00pm-4:00pm Computer Labs (MATH) Computer Labs (MATH) Computer Labs (MATH) Trip to Great Water Falls - Potomac, VA


  1. Buddhima Akurugodage, University of Maryland
  2. Hussain Al-Hammali, Oregon State University
  3. Pavel Andrianov, University of St. Petersburg, Russia
  4. Radu Balan, University of Maryland
  5. Roswitha Bammer, University of Vienna, Australia
  6. John Benedetto, University of Maryland
  7. Joseph Borja, University of Michigan
  8. Hanqin Cai, The University of Iowa
  9. Diana Carbajal, University of Buenos Aires, Argentina
  10. Cheng Cheng, University of Central Florida
  11. Junghee Cho, Seoul National University
  12. Bosu Choi, Michigan State University
  13. Wojtek Czaja, University of Maryland
  14. Shabnam Daghaghi, Texas A&M University
  15. Irene de Teresa Trueba, University of Delaware
  16. Khoa Dinh, University of Tenessee
  17. Markus Faulhuber, University of Vienna, Austria
  18. Barry Fell,  Defense Advanced Research Projects Agency
  19. Anna Gilbert, University of Michigan
  20. Matt Guay, University of Maryland
  21. Alex Gutierrez, University of Minnesota, Twin Cities
  22. Keaton Hamm, Texas A&M University
  23. Christopher Heil, Georgia Institute of Technology
  24. John Edward Herr, Iowa State University
  25. Martin Hiserote, University of Oregon
  26. Xianfeng Hu, Michigan State University
  27. Ruihao Huang, Michigan Technological University
  28. Vahan Huroyan, University of Minnesota, Twin Cities
  29. Thang Huynh, New York University
  30. Ted Juste, University of Central Florida
  31. Abbas Kazemipour, University of Maryland
  32. Christopher Kennedy, University of Texas, Austin
  33. Seth Kwame Kermausuor, Auburn University
  34. Ali Koochakzadeh, University of Maryland
  35. Richard Lartey, Case Western Reserve
  36. Chang Hsin Lee, Vanderbilt University
  37. Ron Levie, Tel Aviv University, Isreal
  38. Weilin Li, University of Maryland
  39. Xueling Li, Michigan Technological University
  40. Hsin-Yi Lin, University of Maryland
  41. Suhui Liu, The University of Iowa
  42. Yuan Liu, Princeton University
  43. Tyson Loudon, Colorado School of Mines
  44. Richard Lynch, University of Missouri
  45. George H. Lytle, University of Kentucky
  46. Aaron Nelson, U.S. Air Force
  47. Kasso Okoudjou, University of Maryland
  48. Bae Jun Park, University of Wisconsin, Madison
  49. Josiah Park, University of South Florida
  50. Michael Pekala, University of Maryland
  51. Armenak Petrosyan, Vanderbilt University
  52. Alberto Pinos, Centre de Recerca Matematica, Spain
  53. John Keith Rush, University of Wisconsin, Madison
  54. Sam Louis Scholze, Texas A&M University
  55. Danielle Elizabeth Smiley, Bryn Mawr College
  56. Byungjae Son, University of North Carolina, Greensboro
  57. Nate Strawn, Georgetown University, Washington DC
  58. Sui Tang, Vanderbilt University
  59. Monty Taylor, University of Tennessee
  60. Tao Wang, The University of Iowa
  61. Xu Wang, University of Minnesota, Twin Cities
  62. Daniel Weinberg, University of Maryland
  63. Yang Yang, The University of Iowa
  64. Liwen Zhang, University of Chicago
  65. Yue Zhang, Case Western Reserve
  66. Naveed Haghani, University of Maryland
  67. Dongmian Zou, University of Maryland

Practical information

All lectures will take place in CSI 1115, unless otherwise noted. Near campus accommodation will be provided as well as support towards travel expenses.

The IMA will need to receive a personal statement describing your background and reasons for wanting to attend, and a letter of nomination from your department chair. Please send letters to Applications. Deadline for applications is April 30, 2015.

We thank the IMA for providing the application website and general sponsorhip.

IMA logo

We also thank NSF for additional support.
NSF logo

Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).