# Ingrid Daubechies

Ingrid Daubechies | |
---|---|

Ingrid Daubechies in 2005 | |

Born |
Houthalen-Helchteren, Belgium | 17 August 1954

Alma mater | Vrije Universiteit Brussel |

Known for | Wavelets |

Awards |
Noether Lecturer (2006) NAS Award in Mathematics (2000) Nemmers Prize in Mathematics (2012) MacArthur Fellowship BBVA Foundation Frontiers of Knowledge Award Leroy P. Steele Prize (2011) |

Scientific career | |

Fields |
Mathematician Physicist |

Institutions |
Duke University Princeton University |

Doctoral advisor |
Jean Reignier Alex Grossmann |

Doctoral students |
Anna Gilbert Rachel Ward |

**Ingrid Daubechies** (/doʊbəˈʃiː/ *doh-bə-SHEE*;^{[1]} French: [dobʃi]; born 17 August 1954) is a Belgian physicist and mathematician. Between 2004 and 2011 she was the William R. Kenan, Jr. Professor in the mathematics and applied mathematics departments at Princeton University.^{[2]} She taught at Princeton for 16 years. In January 2011 she moved to Duke University as a James B. Duke Professor of mathematics.

Daubechies was the first woman to be president of the International Mathematical Union (2011–2014).^{[3]} She is best known for her work with wavelets in image compression.

## Early life and education

Daubechies was born in Houthalen, Belgium, as the daughter of Marcel Daubechies (a civil mining engineer) and Simonne Duran (then a homemaker, later a criminologist). She remembers that when she was a little girl and could not sleep, she did not count numbers, as you would expect from a child, but started to multiply numbers by two from memory. Thus, as a child, she already familiarized herself with the properties of exponential growth. Her parents found out that mathematical conceptions, like cone and tetrahedron, were familiar to her before she reached the age of 6. She excelled at the primary school, moved up a class after only 3 months. After completing the Lyceum in Hasselt^{[4]} she entered the Vrije Universiteit Brussel at 17.^{[5]}

Daubechies completed her undergraduate studies in physics at the Vrije Universiteit Brussel in 1975. During the next few years, she visited the CNRS Center for Theoretical Physics in Marseille several times, where she collaborated with Alex Grossmann; this work was the basis for her doctorate in quantum mechanics.^{[5]} She obtained her Ph.D. in theoretical physics in 1980.

## Career

Daubechies continued her research career at the Vrije Universiteit Brussel until 1987, rising through the ranks to positions roughly equivalent with research assistant-professor in 1981 and research associate-professor 1985, funded by a fellowship from the NFWO (Nationaal Fonds voor Wetenschappelijk Onderzoek).

Daubechies spent most of 1986 as a guest-researcher at the Courant Institute of Mathematical Sciences. At Courant she made her best-known discovery: based on quadrature mirror filter-technology she constructed compactly supported continuous wavelets that would require only a finite amount of processing, in this way enabling wavelet theory to enter the realm of digital signal processing.

In July 1987, Daubechies joined the Murray Hill AT&T Bell Laboratories' New Jersey facility. In 1988 she published the result in Communications on Pure and Applied Mathematics.^{[5]}^{[6]}

From 1994 to 2010, Daubechies was a professor at Princeton University, where she was active within the Program in Applied and Computational Mathematics. She was the first female full professor of mathematics at Princeton.^{[7]} In January 2011 she moved to Duke University to serve as a professor of mathematics. She is currently the James B. Duke professor in the department of mathematics and electrical and computer engineering at Duke University.^{[8]} In 2016, she and Heekyoung Hahn founded Duke Summer Workshop in Mathematics for female rising high school seniors.^{[9]}

The name Daubechies is widely associated with the orthogonal Daubechies wavelet and the biorthogonal CDF wavelet. A wavelet from this family of wavelets is now used in the JPEG 2000 standard.
Her research involves the use of automatic methods from both mathematics, technology and biology to extract information from samples like bones and teeth.^{[10]} She also developed sophisticated image processing techniques used to help establish the authenticity and age of some of the world’s most famous works of art including paintings by Vincent van Gogh and Rembrandt.^{[11]}

Daubechies is one of the world’s most cited mathematicians recognized for her study of the mathematical methods that enhance image-compression technology. She is a member of the National Academy of Engineering, the National Academy of Sciences and the American Academy of Arts and Sciences.

## Awards and honors

Daubechies received the Louis Empain Prize for Physics in 1984, awarded once every five years to a Belgian scientist on the basis of work done before the age of 29. Between 1992 and 1997 she was a fellow of the MacArthur Foundation and in 1993 was elected to the American Academy of Arts and Sciences. In 1994 she received the American Mathematical Society Steele Prize for Exposition for her book *Ten Lectures on Wavelets* and was invited to give a plenary lecture at the International Congress of Mathematicians in Zurich. In 1997 she was awarded the AMS Ruth Lyttle Satter prize.^{[12]} In 1998, she was elected to the United States National Academy of Sciences^{[13]} and won the Golden Jubilee Award for Technological Innovation from the IEEE Information Theory Society^{[14]}
She became a foreign member of the Royal Netherlands Academy of Arts and Sciences in 1999.^{[15]}

In 2000, Daubechies became the first woman to receive the National Academy of Sciences Award in Mathematics, presented every 4 years for excellence in published mathematical research. The award honored her "for fundamental discoveries on wavelets and wavelet expansions and for her role in making wavelets methods a practical basic tool of applied mathematics".^{[16]} She was awarded the Basic Research Award, German Eduard Rhein Foundation^{[17]}^{[18]} and the NAS Award in Mathematics.^{[19]}

In January 2005, Daubechies became the third woman since 1924 to give the Josiah Willard Gibbs Lecture sponsored by the American Mathematical Society. Her talk was on "The Interplay Between Analysis and Algorithm".

Daubechies was the 2006 Emmy Noether Lecturer at the San Antonio Joint Mathematics Meetings.^{[20]} In September 2006, the Pioneer Prize from the International Council for Industrial and Applied Mathematics was awarded jointly to Daubechies and Heinz Engl.

In 2010 she was awarded an honorary doctorate by The Norwegian University of Science and Technology (NTNU).^{[21]}

In 2011, Daubechies was the SIAM John von Neumann Lecturer,^{[22]} and was awarded the IEEE Jack S. Kilby Signal Processing Medal,^{[23]} the Leroy P. Steele Prize for Seminal Contribution to Research from the American Mathematical Society,^{[24]} and the Benjamin Franklin Medal in Electrical Engineering from the Franklin Institute.^{[25]}

In 2012, King Albert II of Belgium granted Daubechies the title of Baroness. She also won the 2012 Nemmers Prize in Mathematics, Northwestern University,^{[26]}
and the 2012 BBVA Foundation Frontiers of Knowledge Award in the Basic Sciences category (jointly with David Mumford).

In 2015, Daubechies gave the Gauss Lecture of the German Mathematical Society.^{[27]} The Simons Foundation, a private foundation based in New York City that funds research in mathematics and the basic sciences, gave Daubechies the Math + X Investigator award, which provides money to professors at American and Canadian universities to encourage new partnerships between mathematicians and researchers other fields of science.^{[28]} She was the one to suggest Simons that the foundation should fund not new research but better mechanisms for interpreting existing data.^{[29]}

In 2018, Daubechies won the William Benter Prize in Applied Mathematics from City University of Hong Kong (CityU). She is the first female recipient of the award. Prize officials cited Professor Daubechies's pioneering work in wavelet theory and her "exceptional contributions to a wide spectrum of scientific and mathematical subjects...her work in enabling the mobile smartphone revolution is truly symbolic of the era."^{[30]}

## Personal life

In 1985, Daubechies met mathematician Robert Calderbank, then on a 3-month exchange visit from AT&T Bell Laboratories, New Jersey to the Brussels-based mathematics division of Philips Research; they married in 1987. They have two children, Michael and Carolyn Calderbank.

## Publications

*Ten Lectures on Wavelets*. Philadelphia: SIAM. 1992. ISBN 0-89871-274-2.^{[31]}

## Applications

## Notes

- ↑ Ingrid Daubechies - 2016 – ICTP Math
- ↑ "Endowed Professorships and Other Designated Chairs". Princeton University. Retrieved 2011-09-11.
- ↑ "Math professor Ingrid Daubechies awarded $1.5 million grant".
*The Chronicle*. Retrieved 2018-02-03. - ↑ Daubechies herself, quoted in
*Flanders Today*#15, October 2014, available here. Retrieved August 19, 2017. - 1 2 3
*Alles voor de wetenschap: Aflevering 5: Ingrid Daubechies*[*Everything for the science: Episode 5: Ingrid Daubechies*] (Television production) (in Dutch). Belgium: Canvas. 27 February 2011. Event occurs at 21:40. Archived from the original on 2 March 2013. Retrieved 4 March 2013. - ↑ I. Daubechies,
*Orthonormal bases of compactly supported wavelets*, Comm. Pure & Appl. Math., 41 (7), pp. 909-996, 1988. - ↑ "Art detective work: did Rembrandt really paint that? - The University of Auckland".
*www.auckland.ac.nz*. Retrieved 2018-02-03. - ↑ https://ece.duke.edu/faculty/ingrid-daubechies
- ↑ "Archived copy". Archived from the original on 13 June 2016. Retrieved 18 June 2016.
- ↑ Correspondent, Frankie Grace Hall,. "Duke professor integrates biology, mathematics".
*Technician*. Retrieved 2018-02-03. - ↑ "Art detective work: did Rembrandt really paint that? - The University of Auckland".
*www.auckland.ac.nz*. Retrieved 2018-02-03. - ↑ "American Mathematical Society".
*www.ams.org*. Retrieved 2018-03-29. - ↑ Personal entry, United States National Academy of Sciences
- ↑ "Golden Jubilee Awards for Technological Innovation". IEEE Information Theory Society. Retrieved 2011-07-14.
- ↑ "Ingrid Daubechies". Royal Netherlands Academy of Arts and Sciences. Archived from the original on 29 January 2016. Retrieved 29 January 2016.
- ↑ Jackson, Allyn (May 2000). "Ingrid Daubechies Receives NAS Award in Mathematics" (PDF).
*Notices of the AMS*.**47**(5): 571 – via American Mathematical Society. - ↑ "Award Winners (chronological)". Eduard Rhein Foundation. Archived from the original on 18 July 2011. Retrieved 6 February 2011.
- ↑ "Basic Research Award 2000 - Prof. Dr. Dr.h.c. Ingrid Daubechies". Eduard Rhein Foundation. Archived from the original on 18 July 2011. Retrieved 6 February 2011.
- ↑ "NAS Award in Mathematics". National Academy of Sciences. Archived from the original on 29 December 2010. Retrieved 13 February 2011.
- ↑ "The Emmy Noether Lectures". Association for Women in Mathematics. Retrieved 2011-05-03.
- ↑ "Honorary Doctors".
*www.ntnu.edu*. Retrieved 2018-08-30. - ↑ "Ingrid Daubechies of Duke University awarded the John von Neumann Lecture Prize at ICIAM 2011".
*EurekAlert*. 28 July 2011. Retrieved 26 April 2017. - ↑ "IEEE Jack S. Kilby Signal Processing Medal Recipients" (PDF). IEEE. Retrieved 2011-02-27.
- ↑ "2011 Steele Prizes" (PDF).
*Notices of the American Mathematical Society*.**58**(4): 593–596. April 2011. Retrieved 2011-09-29. - ↑ "Benjamin Franklin Medal in Electrical Engineering". Franklin Institute. 2011. Archived from the original on 2 August 2012. Retrieved 23 December 2011.
- ↑ "The Frederic Esser Nemmers Prize in Mathematics". Northwestern University. Retrieved 2013-04-27.
- ↑ 2018, Scimetrica, www.scimetrica.com - ©. "Gauß-Vorlesung: An der Schnittstelle zwischen Kunst und Mathematik".
*www.myscience.de*. Retrieved 2018-03-29. - ↑ "Math professor Ingrid Daubechies awarded $1.5 million grant".
*The Chronicle*. Retrieved 2018-02-03. - ↑ Max, D. T. (2017-12-11). "Jim Simons, the Numbers King".
*The New Yorker*. ISSN 0028-792X. Retrieved 2018-02-03. - ↑ Law, Emily. "Notable mathematician of our time awarded CityU's William Benter Prize".
*City University of Hong Kong*. - ↑ Meyer, Yves (1993). "Review:
*An introduction to wavelets*, by Charles K. Chui;*Ten lectures on wavelets*, by Ingrid Daubechies".*Bull. Amer. Math. Soc. (N.S.)*.**28**(2): 350–360. doi:10.1090/S0273-0979-1993-00363-X.

*This article incorporates material from Ingrid Daubechies on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.*

## External links

- Ingrid Daubechies at the Mathematics Genealogy Project
- I. Daubechies, A Different Way to Look at Subband Coding, NJIT Symposium on Multi-Resolution Signal Decomposition Techniques: Wavelets, Subbands and Transforms, April 1990.
- An Interview with Ingrid Daubechies in the Girls' Angle Bulletin, volume 1, number 6 and volume 2, numbers 1 through 4.
- "Ingrid Daubechies", Biographies of Women Mathematicians, Agnes Scott College
- O'Connor, John J.; Robertson, Edmund F., "Ingrid Daubechies",
*MacTutor History of Mathematics archive*, University of St Andrews. - Ingrid Daubechies' homepage at Duke University