The National Conference on Undergraduate Research is an annual student conference dedicated to promoting undergraduate research, scholarship, and creative activity in all fields of study. Unlike meetings of academic professional organizations, this gathering of young scholars welcomes presenters from institutions of higher learning from all corners of the academic curriculum. This annual conference creates a unique environment for the celebration and promotion of undergraduate student achievement, provides models of exemplary research and scholarship, and helps to improve the state of undergraduate education.

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Title:  Sub-Exponential Decay Estimates on Trace Norms of Localized Functions of Schrodinger Operators

Abstract:  In 1973, Combes and Thomas discovered a general technique for showing exponential decay of eigenfunctions. The technique involved proving the exponential decay of the resolvent of the Schrodinger operator localized between two distant regions. Since then, the technique has been applied to several types of Schrodinger operators. Recent work has also shown the Combes–Thomas method works well with trace class and Hilbert–Schmidt type operators. In this talk, we build on those results by applying the Combes–Thomas method in the trace, Hilbert–Schmidt, and other trace-type norms to prove sub-exponential decay estimates on functions of Schrodinger operators localized between two distant regions.

Title:  On the ground state of the magnetic Laplacian in corner domains

Abstract:  I will present recent results about the first eigenvalue of the magnetic Laplacian in general 3D-corner domains with Neumann boundary condition in the semi-classical limit.  The use of singular chains show that the asymptotics of the first eigenvalue is governed by a hierarchy of model problems on the tangent cones of the domain. We provide estimations of the remainder depending on the geometry and the variations of the magnetic field. This is a joint work with V. Bonnaillie-Nol and M. Dauge.

Register at: http://craftwriting.as.uky.edu

This one day event will bring to UK brewers and professional writers from the craft beer industry. Craft beer, the annual production of under six million barrels of beer by small breweries, is one of the fastest growing areas of the food industry. According to the Brewers Association, craft beer provides over 108,000 jobs and its retail dollar value in 2012 was estimated at $10.2 billion. In the last twenty years, over 2,000 new breweries have come online, commanding almost 6% of the overall American beer market. These breweries have, in turn, helped revitalize city neighborhoods, generated new jobs in related industries, and played a key role in expanding digital and social media usage.

This event will showcase the professional writing – in print and digital media – that is dominant in the craft beer industry. Writing has played a major role in promoting the business of craft beer. Craft Writing will serve as an event that draws interdisciplinary attention to the ways industry utilizes writing – in various digital forms – to promote, inform, highlight, argue, market, brand, and foster relationships between products, consumers, and other relevant parties.

Featured Speakers:

Stan Hieronymus, author of For The Love of Hops, Brewing with Wheat, and Brew Like a Monk. Blogger at Appellation Beer and For the Love of Hops.

Julie Johnson, Co-owner of All About Beer, former Editor of All Bout Beer. Currently Technical and Contributing Editor.

Teri Fahrendorf, 25-year beer industry veteran, founder of the Pink Boots Society, author of beer related articles, 19 years brewmaster at Steelhead Brewing, Triple Rock Brewing and Golden Gate Brewing, and blogging gypsy “Road Brewer,”

Roger Baylor, owner of New Albanian Brewing, author of The Potable Curmudgeon.

Jeremy Cowan, owner of Shmaltz Brewing, author of Craft Beer Bar Mitzvah.

Mitch Steele, Brewmaster at Stone Brewing, author of IPA: Brewing Techniques, Recipes, and the Evolution of India Pale Ale.

Keynote speaker

Garrett Oliver, Editor of The Oxford Companion to Beer, author of The Brewmaster’s Table, regular contributor to All About Beer. Brewmaster at Brooklyn Brewery

Title:  Universal wave patterns

Abstract:  A feature of solutions of a (generally nonlinear) field
theory can be called "universal" if it is independent of side conditions like initial data. I will explain this phenomenon in some detail and then illustrate it in the context of the sine-Gordon equation, a fundamental relativistic nonlinear wave equation. In particular I will describe some recent results (joint work with R. Buckingham) concerning a universal wave pattern that appears for all initial data that crosses the separatrix in the phase portrait of the simple pendulum.  The pattern is fantastically complex and beautiful to look at but not hard to describe in terms of elementary solutions of the sine-Gordon equation and the collection of rational solutions of the famous inhomogeneous Painlev\'e-II equation.

Title:  Automating and Stabilizing the Discrete Empirical Interpolation Method for Nonlinear Model Reduction

Abstract:  The Discrete Empirical Interpolation Method (DEIM) is a technique for model reduction of nonlinear dynamical systems.  It is based upon a modification to proper orthogonal decomposition which is designed to reduce the computational complexity for evaluating reduced order nonlinear terms.  The DEIM approach is based upon an interpolatory projection and only requires evaluation of a few selected components of the original nonlinear term.  Thus, implementation of the reduced order nonlinear term requires a new code to be derived from the original code for evaluating the nonlinearity.  I will describe a methodology for automatically deriving a code for the reduced order nonlinearity directly from the original nonlinear code.  Although DEIM has been effective on some very difficult problems, it can under certain conditions introduce instabilities in the reduced model.  I will present a problem that has proved helpful in developing a method for stabilizing DEIM reduced models.

Film viewing of The Murder of Emmett Till followed by a panel discussion. 

Emancipation, New Sensibility, and the Challenge of a New Era: Theory, Practice, and Pedagogy. 

Sessions all day Thursday, Friday & Saturday in the UK Student Center with scholars and students from around the world.

TITLE: Square roots of divergence form operators on L^p spaces

ABSTRACT: An abstract is available online at
http://www.ms.uky.edu/~kott/PDEseminarf13/Haller-Dintelmann.pdf

"Davis Bottom: Rare History, Valuable Lives" reveals the fascinating history of a working-class neighborhood established in Lexington after the Civil War. Davis Bottom is one of about a dozen ethnic enclaves settled primarily by African-American families who migrated to Lexington from the 1860s to the 1890s in search of jobs, security and opportunity. 

The documentary is part of the Kentucky Archaeology and Heritage Series, produced by Voyageur Media Group, Inc. for the Kentucky Archaeological Survey and the Kentucky Heritage Council. The series is distributed by Kentucky Educational Television (KET) to viewers, teachers and students throughout the state. Wednesday's advance screening, part of the first-ever Kentucky Archaeology Month activities, is free and open to the public.