Twenty-six UMass Lowell students competed in the 2017 William Lowell Putnam Mathematics Competition on Saturday, December 2. The competition, sponsored by the Mathematical Association of America, took place concurrently throughout the US and Canada. Last year, 4,164 students from 568 colleges and universities participated. There were two 3 hour sessions, each with six problems. As usual, the problems were tough. Here is one of them:

The 30 edges of a regular icosahedron are distinguished by labeling them 1, 2, …, 30. How many different ways are there to paint each edge red, white, or blue such that each of the 20 triangular faces of the icosahedron has two edges of the same color and a third edge of a different color?

In case you’ve forgotten, an icosahedron looks like this:

A complete list of problems: Putnam2017.

Professor Kenneth Levasseur served as supervised competition at UML. Thanks to the Honors College for providing refreshments for the students on the day of the event.

Results will be announced in late March.

]]>Professor Yankowskas holds a Master of Science in Applied and Computational Mathematics from the University of Massachusetts Lowell and a Bachelor of Arts in Mathematics from Assumption College.

]]>Dr. Bartz holds a Ph.D. from The Technion-Israel Institute of Technology. He arrives to UML after a 3 year term as a Post-Doctoral Fellow at the University of British Columbia, Kelowna, Canada.

]]>Dr Guha’s research interest include Bayesian Modeling, Inverse problems, Uncertainty Quantification, High-dimensional Problems and Graphical Modeling.

Some of his recent publications are

- Guha, Nilabja, Anindya Roy, Yaakov Malinovsky, and Gauri Datta., 2016. An optimal shrinkage factor in prediction of ordered random effects. Statistica Sinica 26: 1709-1728.
- Guha, N. and Tan, X., 2017. Multilevel approximate Bayesian approaches for flows in highly heterogeneous porous media and their applications. Journal of Computational and Applied Mathematics, 317, pp.700-717.
- Yang, K., Guha, N., Efendiev, Y. and Mallick, B.K., 2017. Bayesian and variational Bayesian approaches for flows in heterogeneous random media. Journal of Computational Physics, 345, pp.275-293.

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would not appear to be remarkable, other than in the preponderance of 1’s and 9’s that comprise its digits. However, there are two interesting observations about this number. First, it is prime. The only integers that divide evenly into it are 1 and itself. Second, if the digits are arranged in a rectangular fashion, 60 digits to a row, we see why it has been dubbed the “River Hawk Prime.”

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Min Hyung Cho (Ph. D. UNC Charlotte 2005) is completing his second year at UML. He teaches a variety of graduate and undergraduate courses. His research focuses on developing fast computational algorithms for wave scattering such as Maxwell’s equations and Helmholtz equation.

Theresa Schille (B. S. UMass Lowell, 1992, M. S. UMass Lowell 1994) is completing her sixth year as a Lecturer in the Mathematical Sciences. She has taught calculus and precalculus courses in the day, evening and industrial settings.

Congratulations to both Min Hyung and Theresa on this well-deserved honor!

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From the the publisher’s description:

The Life and Works of John Napier,

1st ed. 2017 Edition by Brian Rice, Enrique González-Velasco, Alexander Corrigan, Springer; 1st ed. 2017 edition, ISBN: 978-3319532813.

For the first time, all five of John Napier’s works have been brought together in English in a single volume, making them more accessible than ever before. His four mathematical works were originally published in Latin: two in his lifetime (1550–1617), one shortly after he died, and one over 200 years later. The authors have prepared three introductory chapters, one covering Napier himself, one his mathematical works, and one his religious work. The former has been prepared by one of Napier’s descendants and contains many new findings about Napier’s life to provide the most complete biography of this enigmatic character, whose reputation has previously been overshadowed by rumour and speculation. The latter has been written by an academic who was awarded a PhD for his thesis on Napier at the University of Edinburgh, and it provides the most lucid and coherent coverage available of this abstruse and little understood work. The chapter on Napier’s mathematical texts has been authored by an experienced and respected academic, whose recent works have specialised in the history of mathematics and whoseJourney through Mathematicswas selected in March of 2012 as an Outstanding Title in Mathematics by Choice magazine, a publication of the American Library Association. All three authors have revisited the primary sources extensively and deliver new insights about Napier and his works, whilst revising the many myths and assumptions that surround his life and character.

Prof. González-Velasco is a member of the UMass Lowell Department of Mathematical Sciences.

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Twenty-one UMass Lowell students competed in the 2016 William Lowell Putnam Mathematics Competition on Saturday, December 3. The competition took place concurrently throughout the US and Canada. Last year 4275 students students from 554 colleges and universities competed participated. There were two 3 hour sessions, each with six problems. As usual, the problems were tough. The consensus of students at the end was that this problem was one of the easiest:

Suppose that

Sis a finite set of points in the plane such that the area of triangleABCis at most 1 wheneverA,B, andCare inS. Show that there exists a triangle of area 4 that (together with its interior) covers the setS.

Thanks to the Honors College for providing refreshments for the students on the day of the event.

Results are normally announced in late March.

]]>Prof. Tibor Beke of the Department of Mathematical Sciences has been awarded a Fulbright Fellowship for teaching and research at Masaryk University, Brno, in the Czech Republic.

During his stay in Brno, Prof. Beke will teach an advanced course on model-theoretic geometry. Model-theoretic geometry is concerned with the geometry of objects defined by equations and inequalities over algebraically closed, real closed and p-adic fields. This subject lies at the intersection of mathematical logic, algebra and geometry. It can be thought of as a high-powered version of “coordinate geometry”, which describes Euclidean geometry in the algebraic language of linear and quadratic polynomials, and trigonometric functions. Model-theoretic geometry extends this algebraic language to higher dimensions, non-Euclidean geometries, and works over structures that “look” very different from the real numbers. In the last decade, the subject acquired algorithmic and computational components too. The goal is, ultimately, to have computers analyze shapes and prove theorems about them.

This is an opportunity for Prof. Beke to continue joint research with Prof. Jiri Rosicky, chair of the Mathematics Department at Brno. Tibor will return to Lowell l in the Fall of 2017.

The Fulbright Scholar Program is administered by the United States Department of State Bureau of Educational and Cultural Affairs. It has been running continuously since 1948, and offers opportunities for US educators and other professionals in more than a hundred countries around the world.

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Given a list of the positive integers 1, 2, 3, 4, …, take the first three numbers 1,2,3 and their sum 6 and cross all four numbers off the list. Repeat with the three smallest remaining numbers 4, 5, 7 and their sum 16. Continue in this way, crossing off the three smallest remaining numbers and their sum, and consider the sequence of sums produced: 6, 16, 27, 36,…. Prove or disprove that there is some number in this sequence whose base 10 representation ends with 2015.

Thanks to the Honors College for providing refreshments for the students on the day of the event.

Results are normally announced in late March.

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