Congratulations to Diana Gonzalez and Choah Shin who were selected and awarded funding from Sustainable Horizons Institute to participate in SIAM Computational Science and Engineering conference in Atlanta, Feb. 26-March 3, within their Broader Engagement program. See http://shinstitute.org/broader-engagement-at-siam-cse17/
Mathematics students Allison Arnold-Roksandich and Jhih-Jyun Zeng were selected to participate in 2017 MSRI workshops on Automorphic Forms and the Langlands Program and Nonlinear dispersive PDEs. Congratulations!
Graduate Committee is proud to showcase extraordinary activity of our graduate students. The website http://www.math.oregonstate.edu/graduate-travel presents an archive of student travel to workshops, conferences, as well as internships. Please let us know of any omissions or corrections that are due ! (Send an email to Graduate Coordinator, or to Graduate Committee).
Mathematics graduate students and faculty may be interested in the recent article "Math PhD Careers: New Opportunities Emerging Amidst Crisis" which is available at http://www.ams.org/publications/journals/notices/201703/rnoti-p260.pdf The article includes thoughtful analyses and helpful suggestions for expanding employment opportunities in mathematical sciences outside the academic setting. In relation to this, doctoral students are reminded of the upcoming deadline March 1 for NSF Mathematical Sciences Graduate Internship opportunities at http://www.orise.orau.gov/nsf-msgi/default.html .
The 2017 Oregon Academy of Sciences meeting will take place this Saturday, 2/25, at OSU. Plenary speakers include Tevian Dray and Corinne Manogue, who will speak about "Active Engagement: Lessons learned from the Paradigms and Bridge projects." The plenary session runs from 1-2:30 PM in LInC 100.
Thanks to all the participants of Math Professional Development night on Wednesday February 15, 2017. More than 30 students and faculty were present at this event which featured career-related presentations on the academic, actuarial, and industry/lab paths, CV-tuning and mock interview booths, as well as skype-visits with our alumni Timothy Costa (Intel), Sooie-Hoe Loke (CWU), Duncan McGregor (Sandia NL), F. Patricia Medina (WPI), and Adriana Mendoza (Green River College). Faculty volunteers included Profs Bokil, Higdon, Hur, Larson, Lockwood, Peszynska, Restrepo, Riverstone, Showalter, and Thomann. We'll do it again. [If you did not participate but would like to get some handouts or materials, please contact M. Peszynska].
The lasagna dinner on Saturday, February 11th was a resounding success. Over 60 students, staff, faculty and family members were treated to an array of lasagna and other international dishes prepared for this traditional department affair. The menu was so excellent that for one category a tie had to be broken! Thanks go to Charles Camacho for coordinating the student effort; to the office staff, Deanne in particular, for providing the logistics; and also to the faculty that were able to attend for sharing their cooking expertise. Thanks again for your participation!
Fix an edge length vector $r=(r_1,\ldots,r_n) \in \mathbb{R}^n_+$, not all $0$. The moduli space $\mathcal{M}_r$ is the space of all $n$-gons in he Euclidean plane with edge lengths $r_1,\ldots,r_n$ modulo orientation preserving isometries of the plane. We'll study the topology of these moduli spaces, particularly focusing on the moduli spaces of quadrilaterals and pentagons. The tool of the day is Morse theory, which we'll develop for the uninitiated attendee. The majority of this talk is taken from Kapovich and Millson's 1995 paper "On the moduli space of polygons in the Euclidean plane."
A decade ago, Yves Couder and coworkers discovered that droplets walking on a vibrating fluid bath exhibit several features previously thought to be exclusive to the microscopic, quantum realm. These walking droplets propel themselves by virtue of a resonant interaction with their own wavefield, and so represent the first macroscopic realization of a pilot-wave system of the form proposed for microscopic quantum dynamics by Louis de Broglie in the 1920s. New experimental and theoretical results in turn reveal and rationalize the emergence of quantization and quantum-like statistics from pilot-wave dynamics in a number of settings. The relation between this hydrodynamic system and various realist models of quantum dynamics is discussed.
Chris's major professor is Prof. Mary Beisiegel.
Let k be an algebraic number field which is a Galois
extension of the rational field. A Minkowski unit in k is
a unit with the additional property that its conjugates under
the Galois action generate a subgroup of units with maximum
possible rank. Minkowski proved long ago that such units always
exist. I will outline a new proof that establishes the existence
of a Minkowski unit \beta such that the Weil height of \beta
is comparable to the sum of the heights of a basis for the
group of units.
If time permits I will describe an analogous but more
difficult result for relative units. This is joint work with
Shabnam Akhtari that appeared recently in the European Journal
of Mathematics.
Predicting the secondary structure of an RNA sequence with fast speed and high accuracy has been a long standing challenge in computational biology. It is an important problem because knowing structures reveals crucial information about the RNA’s function, which is useful in many applications. Being able to rapidly determine the structure is extremely useful given the overwhelming pace of increase in genomic data (about 10^21 base-pairs per year) and given the small percentage of sequences that have experimentally determined structure. While experimental assays still constitute the most reliable way to determine such structures, they are prohibitively costly, slow, and difficult, and therefore computational prediction provides an attractive alternative.
However, existing prediction algorithms scale poorly with longer sequences, running in O(n^3) time to predict nesting structures or O(n^4)∼O(n^6) time for pseudoknots (n is the RNA sequence length and could be as large as thousands). Interestingly, these prediction algorithms are mostly borrowed from computational linguistics, where predicting the most likely syntactic structure of a sentence is closely analogous to finding the lowest energy structure of an RNA. We therefore borrow well-known linear-time dynamic programming algorithms from computational linguistics (developed by the speaker) to predict RNA secondary structures, which results in orders of magnitude faster predictions without loss of accuracy.
Branched covering spaces are a mathematical concept which originates from complex analysis and topology and has found applications in tensor field topology and geometry remeshing. Given a manifold surface and an $N$-way rotational symmetry field, a branched covering space is a manifold surface that has an $N$-to-$1$ map to the original surface except at the so-called {\em ramification points}, which correspond to the singularities in the rotational symmetry field. Understanding the notion and mathematical properties of branched covering spaces is important to researchers in tensor field visualization and geometry processing. In this paper, we provide a framework to construct and visualize the branched covering space (BCS) of an input mesh surface and a rotational symmetry field defined on it. In our framework, the user can visualize not only the BCS but also their construction process. In addition, our system allows the user to design the geometric realization of the BCS using mesh deformation techniques. This enables the user to verify important facts about BCS such that they are manifold surface around singularities as well as the {\em Riemann-Hurwitz formula} which relates the Euler characteristic of the BCS to that of the original mesh.