Jess & Mildred Fisher College of Science & Mathematics


Department of Mathematics

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Next Mathematics Colloquium

On Friday, March 6, 2015, Dr. Gwyneth Whieldon, Assistant Professor of Mathematics at Hood College, will present a colloquium on Poincare-Betti series of monomial rings

Abstract:  Let \(I\) in \(R = k[x_1,\dots,x_n]\) be an ideal. The Poincare-Betti series of quotient ring \(S=R/I\) is a formal power series over a variable \(t\) with coefficients given by the dimensions of \( \mathrm{Tor}_i(k,k) \) over \(S\). Finding a complete characterization of what ideals \(I\) give rise to rational power series is still an open question, although certain classes of ideals (monomial, toric, and complete intersections) have been studied extensively. Similarly, giving formulas for minimal free resolutions of \(k\) over \(S\) remains open in most cases. In this talk, we examine several open problems in constructing such resolutions, and look at combinatorial approaches in the two and three variable cases. We also connect a classification of strongly generic Artinian monomial ideals with upper intervals in the weak Bruhat order on permutations.

This colloquium will be held in 7800 York Road, Room 320 at 1:30 p.m., with light refreshments served after the talk, at 2:30 p.m.

Recent Mathematics Colloquium Talks


Date Topic Speaker
Nov 6, 2014 The Kadison-Singer problem (after Marcus, Spielman, and Srivastava) Dr. Vrej Zarikian,
US Naval Academy
Oct 16, 2014 Applications of topological dynamics to the representation theory of transformation groups Dr. Kostya Medynets,
US Naval Academy
May 8, 2014 Dimension of spline spaces on triangular partitions: A homological approach Dr. Nelly Villamizar,
Austrian Academy of Sciences
Apr 23, 2014 The Gibbs phenomenon: The saga Dr. James C. Alexander,
Case Western Reserve University
Mar 12, 2014 College geometry: Effective strategies to develop mathematical knowledge for teaching Dr. Tetyana Berezovski,
Saint Joseph's University
Feb 20, 2014 Carnegie: How Baltimore County Public Schools are using the Carnegie textbook to teach Common Core Math Standards in grades 6-8 and Algebra 1 Ms. Ellen Mangels,
Cockeysville Middle School, BCPS
Dec 13, 2013 Splines and their moduli Dr. Patrick Clarke,
Drexel University
Dec 5, 2013 Effectiveness of online instruction in basic statistics and algebra courses Dr. Min A,
Coppin State University
Nov 7, 2013 The Maryland Common Core curriculum in mathematics and the PARCC: What we know now Dr. Karen E.L. Ross,
Maryland Department of Education
Oct 24, 2013 Combinatorial trigonometry (and a method to DIE for) Dr. Arthur T. Benjamin,
Harvey Mudd College
Oct 9, 2013 An afternoon with Euler Dr. William Dunham,
Muhlenberg College
Sept 26, 2013 Controlling for unmeasured confounding in time to event analysis of longitudinal observational studies Dr. James Troendle,
NIH/NHLBI
Sept 19, 2013 A matrix connected with the Riemann Hypothesis Dr. Robert C. Vaughan,
Penn State University
& University of Michigan




Department of Mathematics
7800 York Road, Room 316 (campus map)
Hours: Monday - Friday, 8:30 a.m. – 5 p.m.

Phone: 410-704-3091
Fax: 410-704-4149
E-mail: math@towson.edu


other area colloquia
  Johns Hopkins Department of Mathematics

  Johns Hopkins Department of Applied Mathematics and Statistics

  Loyola University Mathematics & Sciences

  University of Maryland Baltimore County

  University of Maryland Mathematics Department

 

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