Mathematical Science

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The Department of Mathematical Sciences at the University of Alabama in Huntsville is dedicated to education, scholarship and service in the mathematical sciences. We offer programs of study leading to bachelors and masters degrees in mathematics and to the doctor of philosophy degree in applied mathematics.

Mathematics ... is indispensable as an intellectual technique. In many subjects, to think at all is to think like a mathematician.--Robert M. Hutchins, The Learning Society

Mathematical Sciences (MA) Catalog Materials

 
 

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UNIVERSITY OF ALABAMA IN HUNTSVILLE

Mathematical Sciences Colloquium

Dr. Mathew Gluck

Department of Mathematical Sciences

University of Alabama in Huntsville

Classification Theorems and Blow-up Analysis for Solutions to

Critically Nonlinear Elliptic Equations

DATE:      Friday, September 5, 2014

TIME:       3:00 p.m. – 4:00 p.m.

PLACE:    Shelby Center Room 218

For n ≥ 3, variants of the semilinear elliptic equation  ∆u + u(n+2)/(n−2) = 0 in , (1) arise in conformal geometry in relation to so-called prescribing scalar curvature problems. Perhaps the most well-known example of this kind of problem is the Yamabe problem. The Yamabe problem seeks to prove the following conjecture ‘For any compact Riemannian manifold (Mn, g) there exists a metric ̂ conformal to g such that the scalar curvature of ̂ is constant’. Proving existence of such a metric ̂ is equivalent to proving the existence of a solution to a certain variant of equation (1).  Through the works of Yamabe, Trudinger, Aubin and Schoen, and over the course of more than twenty years, the Yamabe conjecture was proven affirmative.  One of the interesting aspects of equation (1) is the exponent (n+ 2)/(n−2).  If this exponent were replaced with a new exponent 1 < p < (n + 2)/(n − 2), then one could use standard variational theory to prove the existence of a solution.  However, for the particular nonlinearity shown in equation (1), the standard variational theory does not apply. In order to understand equation (1) thoroughly, one must understand the dynamics of blow-up solutions. In this talk, some aspects of blow-up analysis including classification theorems and Harnack-type inequalities will be discussed for variations of equation (1).

Refreshments will be served at 2:30 p.m. in SC 201 suite landing.

 

Assistant Professor in Math

 

The Department of Mathematical Sciences at the University of Alabama in Huntsville invites applications for two tenure track positions at the rank of Assistant Professor, beginning August 2015. A Ph.D. degree in mathematics or applied mathematics is required. Applicants must show evidence of excellent research potential in an area that matches the interests of the department.  Applicants must also have a strong commitment to teaching and show evidence of excellent teaching ability. The research areas we are seeking are differential equations, and probability and stochastic processes. The priority is stochastic differential equations.

 

Applicants should send a curriculum vita with the AMS standard cover sheet and three references (include name, mailing address, telephone number, and email address) to

 

Chairman
Department of Mathematical Sciences
University of Alabama in Huntsville
Huntsville, AL 35899.

 

For more information about the department, visit our web site at http://www.math.uah.edu.

 

Review of applicants will begin January 16, 2015, and will continue until the position is filled. Women and minorities are encouraged to apply. The University of Alabama in Huntsville is an Affirmative Action, Equal Opportunity Institution.

 

Please refer to log number 15/16-558

 

 

UAH Math Club News

The Math Club will hold it second meeting of the 2014-2105 year on September  9th at 2:30 in Shelby Center Room 219.    The agenda for this meeting is the election of officers, discussion of the club charter, and activity planning for the coming academic year.      Everyone is invited to attend!!!!!    

The Math Club raised enough money last year to support a child this year for the Secret Meals For Hungry Children Program sponsored by the Alabama Credit Union.   The Math Club is looking forward to an exciting 2014-2015 academic year and again will be diligent with their fund raising efforts for group this year.

The Secret Meals feeds well over 1,100 disadvantaged schoolchildren. 100% of each donation goes entirely to the purchase of Secret Meals food packs, so every dollar of support makes a difference. A donation of $120 would feed one child weekly for an entire school year.  

 

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Shelby Center for Science and Technology, Rm 258A
301 Sparkman Drive
Huntsville, AL 35899
256-824-6470