The Greenwood and Trjitzinsky Prize
The Greenwood and Trjitzinsky Prize was established by the Department of Mathematics at the University of Illinois at Urbana-Champaign in 1994 for an outstanding paper by an undergraduate.
Marshall Greenwood was an amateur mathematician from San Diego and longtime friend of the Department of Mathematics at the University of Illinois. Among his many contributions to the university and to mathematics education were the funds to establish this prize. Mr. Greenwood published a private newsletter on Number Theory and was a correspondent and coauthor with members of this department. Marshall Greenwood died on January 8, 1996.
Professor Waldemar Joseph Trjitzinsky was a Professor of Mathematics at Illinois from 1934 to 1969. His fields of research in Mathematical Analysis included Measure and Integration, Abstract Metric Spaces, and Differential Equations, in which he published some 60 papers. In his career he supervised the work of 47 Ph.D. candidates. He was born in Russia in 1901, came to the United States in the early 1920s, earned a Ph.D. at the University of Californiat at Berkeley, spent two years at Harvard on a national research fellowship, and lectured, among other places, at the Sorbonne in Paris. His career ended with his death in 1973. In 1995 an anonymous donor contributed a large sum to support this prize in undergraduate research in honor of Professor Trjitzinsky.
Recipients of the Greenwood and Trjitzinsky Prize
| 2010 | |
| Robert Walker "On the relationship between the Bernoulli numbers and the classical Kummer congruences" 
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| 2005-2006 | |
| Ian C. Shipman "The Distinguishing Number of the Iterated Line Graph" 
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| 2003-2004 | |
| Edward Kung "Knot Theory"  |
Benjamin Lundell "Properties of Real Matrices Associated to Sign Patterns" 
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| 2002-2003 | |
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Ricardo Astudillo "Thue Morse Sequences"  |
Dusty Grundmeier "Polynomials Invariant under a Given Action of a Cyclic Group"  |
| 2001-2002 | |
| Michael Baym
"On the Lonely Runner Conjecture"  |
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| 2000-2001 | |
| First Prize:
William Cuckler "Reducibility of configurations in the pancake problem"  |
Second Prize:
Michael Baym "Cubic Thue equations"  |
| 1999-2000 | |
| Mark Hoemmen "An extension of the square recurrence relation, and properties of the square matrices it generates"  |
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| 1998-1999 | |
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(tie) Christopher
Francisco |
(tie) Matthew
Rodriguez "Ideals attaining a given Hilbert function"  |
| 1997-1998 | |
| (tie) Christopher
Francisco "On the Generation of Groups by Conjugate Elements"  |
(tie) Matthew
Rodriguez "Efficient Adapted Frames for Curves in Euclidean Spaces"  |
| 1996-1997 | |
| 1st: Tameka
Carter "Fibonacci Sequences and other Second Order Linear Recurrences"  |
2nd: Mark Schmitt "On the Partitions of Sn into Distinct Parts from { Sn}"  |
| 1995-1996 | |
| 1st: Joseph C. Drish, "Properties and Distribution of Prime Numbers." | 2nd: Sonny Vu,"Some Applications of Kronecker's Theorem Concerning the Approximation of Real Numbers in Number Theory." |
| 1994-1995 | |
| 1st: Thomas Insel "Geodesics With Two Self-intersections On the Punctured Torus" jointly with S. Dziadosz and P. Wiles | 2nd: Sonny Vu,"On (b,n)-happiness Sequences" 3rd: Lynn Zhang, "On Congruent Numbers" |
