2011 - university of illinois · stochastic processes which gives a comprehensive treatment of...

2011Depar tment of Mathemat ics

College of Liberal Arts and Sciences • University of Il l inois at Urbana-Champaign

As part of the 1893 Chicago World’s Fair, a series of scientific and philosophical congresses was scheduled, among them a “world congress” of mathematicians and astronomers, where German mathematician Felix Klein delivered a speech which included a call “Mathematicians of the world, unite!” The first International Congress of Mathematicians (ICM) was held in Zurich, Switzerland, in August 1897. The organizers included such prominent mathematicians as Luigi Cremona, Felix Klein, Gösta Mittag-Leffler, Andrey Markov, and others. The largest congress in the mathematical community, the ICM is held once every four years hosted by the International Mathematical Union (IMU). The 1897 congress was attended by 208 mathematicians from 16 countries, including 12 from Russia and 7 from the United States. More than 4,500 participants attended the 2006 ICM.

Vintage photo of Zurich, Switzerland. Copyright 2010 iStockphoto.

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February 2011

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Department of Mathematics • University of Illinois at Urbana-Champaign • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu

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The International Mathematical Union (IMU) has been awarding the Fields Medal (generally considered the “Nobel Prize for mathematics”) since 1936, the Nevanlinna Prize in the field of theoretical computer science since 1982, and the Gauss Prize for applied mathematical work since 2006. The Fields Medal and the Nevanlinna Prize are given to young researchers below 40 years of age, in recognition of specific pathbreaking results. The Gauss Prize recognizes mathematical results that have opened new areas of practical applications. In addition to these three prizes, a new prize, the Chern Medal Award, was awarded jointly with the Chern Medal Foundation (CMF), for the first time at the 2010 International Congress of Mathematicians in Hyderabad, India. The award was established in memory of the outstanding mathematician Shiing-Shen Chern (1911–2004) and is given to an individual whose lifelong outstanding achievements in the field of mathematics warrant the highest level of recognition.

Charminar “Mosque of the Four Minarets” in Hyderabad, India. Copyright 2010 iStockphoto.

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Presidents’ Day

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Emmy Noether (1882–1935) was the first woman to give an International Congress of Mathematicians Plenary Lecture. She presented her Plenary Lecture entitled “Hyper-complex systems in their relations to commutative algebra and to number theory” at the 1932 ICM in Zurich, Switzerland. Noether was a German-born mathematician known for her ground-breaking contributions to abstract algebra and theoretical physics. She was described by David Hilbert, Albert Einstein and others as the most important woman in the history of mathematics. The second ICM Plenary Lecture given by a woman was delivered 58 years later at the 1990 ICM in Kyoto, Japan, by Karen Uhlenbeck. Uhlenbeck is a Professor and Sid W. Richardson Regents Chairholder in the Department of Mathematics at the University of Texas in Austin. She received a National Medal of Science in 2000 and she won the American Mathematical Society Steele Prize in 2007 for her foundational contributions in analytic aspects of mathematical gauge theory. Uhlenbeck was on the mathematics faculty at the University of Illinois from 1971–1976.

Kinkaku-ji Temple, Kyoto, Japan. Copyright 2010 iStockphoto.

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March 2011

St. Patrick’s Day

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Ash Wednesday

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The coast of Nice, France. Copyright 2010 iStockphoto.

The 1970 International Congress of Mathematicians was held in Nice, France where Donald L. Burkholder gave an Invited Lecture (Analysis Section) entitled “Inequalities for operators on martingales.” Burkholder joined the mathematics faculty at the University of Illinois in 1955, the same year he received his Ph.D. in mathematical statistics from the University of North Carolina, Chapel Hill. He became a professor in the department in 1964, and in 1978 was named Professor in the Center for Advanced Study at Illinois. He retired from the University of Illinois in 1998. Burkholder is a member of the National Academy of Science and was named a 2009 Fellow in the Society for Industrial and Applied Mathematics (SIAM).

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April 2011

Good Friday

Easter

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Joseph L. Doob (1910–2004) was a pioneer in the study of the mathematical foundations of probability theory and its interplay with other areas of mathematics. He received his Ph.D. from Harvard in 1932 and was a professor in the Department of Mathematics at the University of Illinois from 1935 until his retirement in 1978. In 1953 he published the book Stochastic Processes which gives a comprehensive treatment of stochastic processes, including much of his own development of martingale theory. This book has become a classic and was reissued in 1990. Another classic text by Doob is Classical Potential Theory and its Probabilistic Counterpart, first published in 1984 and reprinted in 2001. He was awarded the National Medal of Science in 1979 and won the American Mathematical Society Steele Prize in 1984 for his outstanding career and “continuing profound influence.” Doob gave an Invited Lecture (Probability and Statistics Section) at the 1954 International Congress of Mathematicians held in Amsterdam, The Netherlands.

A canal in Amsterdam, Netherlands. Copyright 2010 iStockphoto.

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June 2011


May 2011

Mother’s Day

Memorial Day

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Port of Helsinki, Finland. Copyright 2010 iStockphoto.

Wolfgang Haken received his Ph.D. from the University of Kiel, Germany, in 1953. He was a professor of mathematics at the University of Illinois, specializing in topology and 3-manifolds, from 1965 until his retirement in 1998. He was a member of the Institute for Advanced Study at Princeton from 1963 to 1965, and he received a Senior Distinguished U.S. Scientist Award from the Alexander von Humboldt Foundation. In 1976, together with Illinois colleague Kenneth Appel, Haken solved one of the most famous problems in mathematics, proving the Four-Color Theorem. They proved that four colors suffice to color any map so that no adjacent regions share the same color. Their argument was one of the first examples of a proof with substantial computer assistance. Haken gave an Invited Lecture (Discrete Math and Mathematical Aspects of Computer Science Section) at the 1978 International Congress of Mathematicians in Helsinki, Finland.

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June 2011

Flag Day

Father’s Day First Day of Summer

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Michio Suzuki (1926–1998), one of the leaders in the developments in finite group theory that led to the classification of finite simple groups, earned a doctorate at the University of Tokyo in 1952. He accepted a postdoctoral fellowship at the University of Illinois in 1952 and was appointed Professor in 1955 where he remained on the faculty until his death in 1998. In 1968 he was elected to a professorship in the Center for Advanced Study at Illinois, and in 1974 he was awarded the Academy Prize from the Japan Academy (the highest honor awarded to mathematicians in Japan) for his work in group theory. Suzuki gave an Invited Lecture (Algebra Section) at the 1970 International Congress of Mathematicians held in Nice, France.

Cityscape of Nice in southeastern France. Copyright 2010 iStockphoto.

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July 2011

Independence Day

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Famous old town in Warsaw, Poland. Copyright 2010 iStockphoto.

Peter Loeb received his Ph.D. at Stanford University in 1964. He was on the mathematics faculty at the University of Illinois from 1968 until his retirement in 2008. His more than 75 publications deal with real analysis, and center on problems of representing measures and ideal boundaries in potential theory along with applications of model theory in the form of Abraham Robinson’s nonstandard analysis. An important contribution (the subject of his 1983 International Congress of Mathematicians Invited Sectional Lecture in Warsaw, Poland) was the formation of standard measure spaces on nonstandard models now called “Loeb measure spaces” in the literature.

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A garden at Nijo castle, Kyoto, Japan. Copyright 2010 iStockphoto.

Lou van den Dries earned his Ph.D. from the University of Utrecht in the Netherlands in 1978 and joined the mathematics faculty at the University of Illinois in 1985. He is an internationally recognized researcher in mathematical logic and is a Professor in the Center for Advanced Study at Illinois. He gave an Invited Lecture (Mathematical Logic and Foundations Section) at the 1990 International Congress of Mathematicians held in Kyoto, Japan. Lou van den Dries is a corresponding member of the Dutch Royal Academy of Sciences.

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September 2011

Labor Day

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August 2011


Rosh Hashanah

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Zurich, Switzerland. Copyright 2010 iStockphoto.

Anand Pillay received his Ph.D. in 1978 at Bedford College, London. In 1996, he joined the mathematics faculty at the University of Illinois as a Swanlund Chair. Pillay’s research is in model theory, a branch of mathematical logic. He has published around 150 papers and written three books. He gave an Invited Lecture (Logic Section) at the 1994 International Congress of Mathematicians held in Zurich, Switzerland, and was awarded the Humboldt Stiftung Research Prize in 2001. He retired from Illinois in 2006. From 2005–2008 he held a Marie Curie Chair (European Union), and in April 2009 he gave the Tarski Lecture at UC Berkeley. Pillay is now Chair of Mathematical Logic at the University of Leeds in England.

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November 2011

October 2011

Columbus Day

Halloween

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Zoltán Füredi received his Ph.D. in 1981 from the Mathematics Institute of the Hungarian Academy of Sciences. He joined the mathematics faculty at the University of Illinois in 1991 and has published some 200 papers in his main field of interest in the theory of finite sets with applications in geometry, designs, and computer science. He is a member of the Hungarian Academy of Sciences. In 1994 Füredi gave an Invited Lecture (Combinatorics Section) entitled “Extremal hypergraphs and combinatorial geometry” at the International Congress of Mathematicians held in Zurich, Switzerland.

Zurich, Switzerland. Copyright 2010 iStockphoto.

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December 2011

Daylight Saving Time Ends Veterans Day

Thanksgiving Day

November 2011

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Sergei Ivanov received his Ph.D. in 1988 from Moscow State University, Russia. He joined the mathematics faculty at the University of Illinois in 1993. He received a Sloan Research Fellowship in 1995 and was named a University Scholar at Illinois in 2000. In 1994, he published a 308-page article that provided a solution to one of the most influential algebraicproblems of the 20th century, posed by William Burnside in 1902. The geometric machinery of graded diagrams, created to solve the formidable Burnside problem on periodic groups for even exponent, was later applied to other notable problems of group theory, including a conjecture of Gromov on torsion quotients of hyperbolic groups. These results were thesubject of his Invited Lecture (Algebra Section) at the 1998 International Congress of Mathematicians held in Berlin, Germany.

Berliner Dom, Berlin, Germany. Photo by Scott Campbell, copyright 2010.

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First Day of Winter

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November 2011


Department of MathematicsUniversity of Illinois at Urbana-Champaign

1409 W. Green StreetUrbana, IL 61801

www.math.illinois.edu

Ahlgren, Scott Ando, Matthew Athreya, Jayadev Balogh, Jozsef Bauer, Robert Bergvelt, Maarten Berndt, Bruce C. Boca, Florin Bradlow, Steven Bronski, Jared D’Angelo, John P. DeVille, Lee van den Dries, Lou Dutta, Sankar P. Dunfield, Nathan Duursma, Iwan Erdogan, Burak Ford, Kevin Francis, George K. Furedi, Zoltan Gorvett, Rick Haboush, William J.

Hildebrand, A. J. Hinkkanen, Aimo Hundertmark, Dirk Hur, Vera Mikyoung Ivanov, Sergei V. Johnson, Paul Junge, Marius Kapovich, Ilya Katz, Sheldon Kedem, Rinat Kerman, Ely Kirr, Eduard-Wilhelm Kostochka, Alexandr Laugesen, Richard Leininger, Christopher Lerman, Eugene M. Li, Xiaochun McCarthy, Randy Merenkov, Sergiy Miles, Joseph Mineyev, Igor

Muncaster, Robert Nevins, Thomas Nikolaev, Igor G. Palmore, Julian Rapti, Zoi Rezk, Charles Reznick, Bruce Rosenblatt, Joseph Ruan, Zhong-Jin Schenck, Hal Solecki, Slawomir Song, Renming Sowers, Richard B. Tolman, Susan Tumanov, Alexander Tyson, Jeremy Tzirakis, Nikolaos West, Douglas B. Wu, Jang-Mei Yong, Alexander Zaharescu, Alexandru Zharnitsky, Vadim

Current Faculty

To read more about the International Congress of Mathematicians, see International mathematical congresses: an illustrated history, 1893-1986, D.J. Albers, G.L. Alexanderson, C. Reid, Springer-Verlag, New York, 1986, and the website of the International Mathematical Union, http://www.mathunion.org/.

This calendar was designed by Tori Corkery for the Department of Mathematics at the University of Illinois at Urbana-Champaign © 2010.

2011 - university of illinois · stochastic processes which gives a comprehensive treatment of...

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