IMA 2015: Modern Harmonic Analysis and Applications
University of Maryland, College Park, MD
July 20-August 7, 2015
July 20-August 7, 2015
IMA Program Application Form
Description
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.
Organizers
- Radu Balan, Departments of Mathematics and CSCAMM, University of Maryland
- John Benedetto, Department of Mathematics and the Norbert Wiener Center, University of Maryland
- Wojtek Czaja, Department of Mathematics and the Norbert Wiener Center, University of Maryland
- Kasso Okoudjou, Department of Mathematics and the Norbert Wiener Center, University of Maryland
Guest Lecturers
- Anna Gilbert, Department of Mathematics, University of Michigan, Ann Arbor IL
- Chris Heil, Department of Mathematics, Georgia Institute of Technology, Atlanta GA
- Gilad Lerman, Departments of Mathematics, University of Minnessota, Minneapolis MN
- Nate Strawn, Departments of Mathematics, Georgetown University, Washington D.C.
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
Schedule
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.
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
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
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 |
Participants
- Buddhima Akurugodage, University of Maryland
- Hussain Al-Hammali, Oregon State University
- Pavel Andrianov, University of St. Petersburg, Russia
- Radu Balan, University of Maryland
- Roswitha Bammer, University of Vienna, Australia
- John Benedetto, University of Maryland
- Joseph Borja, University of Michigan
- Hanqin Cai, The University of Iowa
- Diana Carbajal, University of Buenos Aires, Argentina
- Cheng Cheng, University of Central Florida
- Junghee Cho, Seoul National University
- Bosu Choi, Michigan State University
- Wojtek Czaja, University of Maryland
- Shabnam Daghaghi, Texas A&M University
- Irene de Teresa Trueba, University of Delaware
- Khoa Dinh, University of Tenessee
- Markus Faulhuber, University of Vienna, Austria
- Barry Fell, Defense Advanced Research Projects Agency
- Anna Gilbert, University of Michigan
- Matt Guay, University of Maryland
- Alex Gutierrez, University of Minnesota, Twin Cities
- Keaton Hamm, Texas A&M University
- Christopher Heil, Georgia Institute of Technology
- John Edward Herr, Iowa State University
- Martin Hiserote, University of Oregon
- Xianfeng Hu, Michigan State University
- Ruihao Huang, Michigan Technological University
- Vahan Huroyan, University of Minnesota, Twin Cities
- Thang Huynh, New York University
- Ted Juste, University of Central Florida
- Abbas Kazemipour, University of Maryland
- Christopher Kennedy, University of Texas, Austin
- Seth Kwame Kermausuor, Auburn University
- Ali Koochakzadeh, University of Maryland
- Richard Lartey, Case Western Reserve
- Chang Hsin Lee, Vanderbilt University
- Ron Levie, Tel Aviv University, Isreal
- Weilin Li, University of Maryland
- Xueling Li, Michigan Technological University
- Hsin-Yi Lin, University of Maryland
- Suhui Liu, The University of Iowa
- Yuan Liu, Princeton University
- Tyson Loudon, Colorado School of Mines
- Richard Lynch, University of Missouri
- George H. Lytle, University of Kentucky
- Aaron Nelson, U.S. Air Force
- Kasso Okoudjou, University of Maryland
- Bae Jun Park, University of Wisconsin, Madison
- Josiah Park, University of South Florida
- Michael Pekala, University of Maryland
- Armenak Petrosyan, Vanderbilt University
- Alberto Pinos, Centre de Recerca Matematica, Spain
- John Keith Rush, University of Wisconsin, Madison
- Sam Louis Scholze, Texas A&M University
- Danielle Elizabeth Smiley, Bryn Mawr College
- Byungjae Son, University of North Carolina, Greensboro
- Nate Strawn, Georgetown University, Washington DC
- Sui Tang, Vanderbilt University
- Monty Taylor, University of Tennessee
- Tao Wang, The University of Iowa
- Xu Wang, University of Minnesota, Twin Cities
- Daniel Weinberg, University of Maryland
- Yang Yang, The University of Iowa
- Liwen Zhang, University of Chicago
- Yue Zhang, Case Western Reserve
- Naveed Haghani, University of Maryland
- 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.
We also thank NSF for additional support.