Christopher Heil - Main Page

Christopher E. Heil

Professor School of Mathematics Georgia Institute of Technology Atlanta, GA 30332-0160 (404) 894-9231 h e i l @ m a t h . g a t e c h . e d u

RESEARCH AND PUBLICATIONS

BOOKS AND EDITED VOLUMES

Books, including:

and others in preparation.
- MAA book review of "Introduction to Real Analysis". Quote: "This challenge has been met hands down."
- Lecture on Absolute Continuity and the Banach-Zaretsky Theorem, presented at the Faraway Fourier Talks on March 29, 2021. This talk gives a streamlined discussion of the main topics from Chapters 5 and 6 of "Introduction to Real Analysis".
Calculus: I am a coauthor on the Thomas' Calculus series, published by Pearson, currently in its 15th edition.
Edited Volumes:

TEACHING

Fall 2024
- MATH 6579 (Measure Theory for Scientists and Engineers)
Selected expository manuscripts and handouts:
More teaching resources, course handouts, and lecture notes.
Some Math humor (including my daughter Lea's Math Poem).

LINKS

Coauthors:
- Akram Aldroubi
- Ryuichi Ashino
- Radu Balan
- John J. Benedetto
- Przemyslaw Bogacki
- Árpád Bényi
- Shannon Bishop
- Carlos Cabrelli
- Pete Casazza
- Yam Sung Cheng
- Ole Christensen
- David Colella
- Baiqiao Deng
- Steve Desjardins
- Karlheinz Gröchenig
- Deguang Han
- Joel Hass
- Peter Heller
- Denise Jacobs
- Yoo Young Koo
- Keri Kornelson
- Gitta Kutyniok
- Zeph Landau
- David Larson
- Jae Kun Lim
- Ursula Molter
- Michihiro Nagase (deceased 2004)
- Kasso Okoudjou
- Alex Powell
- Jay Ramanathan
- Darrin Speegle
- Vasily Strela
- Ramazan Tinaztepe
- Gil Strang
- Pankaj Topiwala
- Rémi Vaillancourt (co-author with Calderón of the celebrated Calderón-Vaillancourt Theorem). Deceased 2015, he will be greatly missed. My Erdös number is 3 through the path Erdös/Saffari/Vaillancourt/Heil.
- David Walnut
- Gang Joon Yoon
- Pu-Ting Yu
Former Ph.D. Students and their Ph.D. Students (with year of graduation)
- Demetrio Labate (2000)
  - Pooran Negi (2012)
  - Anando Sen (2012)
  - Cihan Kayasandik (2017)
  - Sabrine Hoteit (2020)
  - Wilfredo Josué Molina Mora (2020)
  - Basanta Raj Pahari (2020)
  - Jose Pedro Rodriguez Ayllon (2020)
  - Kazem Safari (2020)
- Denise Jacobs (2001)
- Kasso Okoudjou (2003)
  - Matthew Hirn (2009)
  - Clare Wickman (2014)
  - Matthew Begué (2016)
  - Chae Clark (2016)
  - Abdou Atindehou (2018)
  - Shujie Kang (2020)
- Shannon Bishop (2010)
- Ramazan Tinaztepe (2010)
- Josiah Park (2020)
- Yam-Sung Cheng (2021)
- Victor Bailey (2023)
Current Ph.D. Students:
- Pu-Ting Yu
- Logan Hart
Former Master's Students:
- Sandie Leach Grage (2003)
- Becky Upchurch Stark (2004)
- Stacey Touset (2013)
Former Postdocs and Visiting Graduate Students:
- Gerard Ascensi
- Josip Derado
- Brody Johnson
- Norbert Kaiblinger
- Keri Kornelson
- Evanthia Carypis
- Michael Northington
- Armenak Petrosyan
Editorial Boards:
- JFAA: The Journal of Fourier Analysis and Applications.
- ACHA: Applied and Computational Harmonic Analysis.
- AOT: Advances in Operator Theory.
- STSIP: Sampling Theory in Signal and Image Processing. Guest Editor, Special Issue on Modulation Spaces and Time-Frequency Analysis, Vol. 5, No. 2, 2006. Preface.
- Book Series Applied and Numerical Harmonic Analysis, Birkhäuser.
Pictures:
- Four generations of my mathematical family, including my Ph.D. advisor's advisor (Chandler Davis), my Ph.D. advisor (John Benedetto), 28 students of my advisor (including me), and 2 of my Ph.D. students (Demetrio Labate and Denise Jacobs). Taken at the 60th birthday conference in honor of JJB, October 1999.
- Three generations of my mathematical family, including JJB, many of my mathematical brothers and sisters, and my students Kasso Okoudjou and Shannon Bishop. Taken at the FFT (February Fourier Talks) at U. Maryland, February 2009.
- Four generations of my mathematical family, including JJB, many of my mathematical brothers, sisters, nieces, nephews, and friends, and my students Demetrio Labate and Kasso Okoudjou, and my mathematical brother and grandson Matt Hirn (co-advised by John Benedetto and Kasso Okoudjou). Taken at the ICCHA5 conference held at Vanderbilt U. in May 2014.
- Four generations of my mathematical family, including JJB, many of my mathematical brothers, sisters, nieces, nephews, and friends, and my students Demetrio Labate and Kasso Okoudjou. Taken at the 2019 Jubilee of Fourier Analysis and Applications held at the University of Maryland in September 2019 in honor of JJB's 80 birthday.
- Three generations of my mathematical family, including JJB, some of my mathematical brothers and sisters, and my students Victor Bailey and Pu-Ting Yu. Taken at the FFT (Fall Fourier Talks) at U. Maryland, October 2022.
- At the commencement ceremony for Victor Bailey, May 2023.
Other members of the former Focused Research Group on "Wavelets, Frames, and Operator Theory":
More links:
- NWC: The Norbert Wiener Center for Harmonic Analysis and Applications at the University of Maryland
- NuHAG: The Numerical Harmonic Analysis Group at the University of Vienna
- Wim Sweldens' Wavelet Cascade Applet (see this paper for an exposition of the math background)
- The Klein Four Group (Math humor)
- The former DOTE page.

Past Events

July 2015: IMA 2015 Summer Graduate Program on Modern Harmonic Analysis and Applications.
- Workshop poster.
- Workshop website.
- Reading materials and lecture notes for my course on Frames and Time-Frequency Analysis.
Conference From Banach Spaces to Frame Theory and Applications, University of Maryland, College Park, May 20-22, 2010.
- Conference posters: Ice background and Jumbo the bunny background.
Concentration Week on Frame Theory and Maps Between Operator Algebras, Texas A&M University, July 16-19, 2012.
Conference on Operator Algebras, Frames, and Undergraduate Research: A Conference in Honor of the 70th Birthday of David R. Larson, Texas A&M University, July 20-22, 2012.