Seminars and Colloquia

Upcoming Seminars

CAMS Seminar
Every other Monday at 3:30pm in Rolla G5

Hyperspace and Topology Seminar
9-11 AM on selected Tuesdays, Rolla G4
3-5 PM on selected Wednesdays, Rolla G4

Real Analysis Seminar
Every other Monday at 3:30pm in Rolla G5 (beginning January 29)

Time Scales Seminar
Wednesdays at noon in Rolla G5


Ingram Lectureship

After he retired following the Fall 2002 semester, Professor W.T. Ingram, who was department chair from 1989-1998, generously set up an endowed fund to be used to bring well-known mathematical scientists to Rolla to give lectures on their work.  All Ingram Lectures are open to the entire S&T community, and are widely advertised on campus.  Visitors brought here under this program usually give two lectures, one of a general nature and accessible to students, and another more advanced aimed at faculty (though students are certainly welcome).

Presentations of Ingram Lectureship


Spring 2018 Colloquia

Yuefeng Wu
Assistant Professor
Department of Mathematics and Computer Science
University of Missouri St. Louis

Thursday, April 26, 2018
4:00-5:15 PM
Rolla Bldg
G-5

Title: Hit and Run ARMS: Adaptive Rejection Metropolis Sampling with Hit and Run Random Direction

Abstract: An algorithm for sampling from non-log-concave multivariate distributions is proposed, which improves the adaptive rejection Metropolis sampling (ARMS) algorithm by incorporating the hit and run sampling. It is not rare that the ARMS is trapped away from some subspace with significant probability in the support of the multivariate distribution. While the ARMS updates samples only in the directions that are parallel to dimensions, our proposed method, the hit and run ARMS (HARARMS), updates samples in arbitrary directions determined by the hit and run algorithm, which makes it almost not possible to be trapped in any isolated subspaces. The HARARMS performs the same as ARMS in a single dimension while more reliable in multidimensional spaces. Its performance is illustrated by a Bayesian free-knot spline regression example. We showed that it overcomes the well-known 'lethargy' property and decisively find the global optimal number and locations of the knots of the spline function.

Biographical Sketch: Dr. Yuefeng Wu obtained his PhD in statistics from North Carolina State University. He then worked as a postdoc researcher in the Department of Biological Statistics and Computational Biology in Cornell University and a visiting assistant professor in University of California Santa Cruz. He is now an assistant professor in the department of mathematics  and computer science in University of Missouri Saint Louis. His main research interest is in Bayesian statistics, ranging from the theoretical study in the asymptotic properties of some non- or semi-parametric methods, to applications of Bayesian methods to real world data analysis. He also has interest in statistical computation (related to algorithms that more or less related to Bayesian methods) and Bayesian network learning (especially those related to  causal inference).


Host: Wen

George Markowsky
Professor and Chair of Computer Science
Missouri University of Science and Technology

Friday, April 6, 2018
4:00-5:15 PM
Rolla Bldg G-5

Title: The Not-So-Golden Ratio

Abstract: The golden ratio, also called by different authors the golden section, golden number, golden mean, divine proportion, and division in extreme and mean ratios, has captured the popular imagination and is discussed in many books and articles. Generally, the mathematical properties of the golden ratio are correctly stated, but much of what is presented about the golden ratio in art, architecture, literature, and esthetics is false or seriously misleading. Unfortunately, these statements about the golden ratio have achieved the status of common knowledge and are widely repeated. Even current high school geometry textbooks make many incorrect statements about the golden ratio. This talk will set the record straight about the golden ratio. It will discuss its mathematical significance as well as some of the most commonly repeated falsehoods about it.

Dr. George Markowsky earned a BA in mathematics at Columbia University and an MA and PhD in mathematics at Harvard University. He is currently Chair of the Computer Science Department at S&T. Before coming to S&T, Dr. Markowsky worked at the IBM T. J. Watson Research Center and at the University of Maine where he served as Chair of the Computer Science Department and Associate Director of the School of Computing and Information Science.

Host: Clark

Cones over locally connected curves

Daria Michalik
Assistant Professor
Faculty of Mathematics and Natural Sciences
College of Science
Cardinal Stefan Wyszynski University

Wednesday, March 21, 2018
4:00-5:15PM
Rolla Bldg G-5

Michalik-abstract

 Dr. Daria Michalik earned her PhD from Institute of Mathematics Polish Academy of Science in June 2007 under the supervision of Professor Henryk Torunczyk. Since October 2008 she has been Assistant Professor at the Faculty of Mathematics and Natural Sciences, College of Science of Cardinal Stefan Wyszynski University in Warsaw (Poland). Her main research interest lies in the continuum theory, hyperspaces theory and geometric topology.

Generalized ODEs: an overview and new trends

Jaqueline Mesquita
Assistant Professor
Department of Mathematics
Universidad de Brasilia, Brazil

Friday, January 26, 2018
4:00-5:15 PM
Rolla Bldg G-5


Abstract:  In 1957, Jaroslav Kurzweil introduced in the literature a class of integral equations called generalized ordinary differential equations in order to investigate results on continuous dependence of solutions with respect to parameters (see [5]). However, recent works have shown that these equations encompass several types of equations, such as impulsive equations, functional dynamic equations on time scales, measure functional differential equations, measure neutral functional differential equations, among others. See [1,2,3,4,6] and the references therein.

In this talk, we provide a basic overview of generalized differential equations and present some recent results and new trends in this area.

  1. M. Federson, M. Frasson, J. Mesquita, P. Tacuri, Measure neutral functional differential equations as generalized ODEs, submitted.

  2. M. Federson, R. Grau, J. G. Mesquita, E. Toon, Boundedness of solutions of measure differential equations and dynamic equations on time scales, Journal of Differential Equations 263 (2017), 26-56.

  3. M. Federson, J. G. Mesquita, A. Slavík, Measure functional differential equa- tions and functional dynamic equations on time scales, Journal of Differential Equations 252 (2012), 3816-3847.

  4. M. Federson, J. G. Mesquita, A. Slavík, Basic results for functional differential and dynamic equations involving impulses, Math. Nachr. 286(2-3) (2013), 181- 204.

  5. J. Kurzweil, Generalized ordinary differential equations and continuous depen- dence on a parameter, Czech. Math. J. 7(82) (1957), 418-448. 

  6. A. Slavík, Dynamic equations on time scales and generalized ordinary differential equations, J. Math. Anal. Appl., 385 (2012), 534–550. 

Jaqueline Godoy Mesquita completed her PhD in Mathematics in 2012 at the University of São Paulo and the Academy of Sciences of Czech Republic in Prague. She had two post-doctorate positions, one at the Universidad de Santiago de Chile-USACH and the other one at University of São Paulo-USP. She held the position of Assistant Professor at University of São Paulo-USP (2013-2015) and is currently Assistant Professor at University of Brasília-UnB since 2015. She is Affiliated Member of the Brazilian Academy of Sciences (2018-2022) and Regional Secretary of the Brazilian Mathematical Society (2017-2019). She is member of the editorial board of the "Journal of Mathematics and Statistics" and "Advances in Dynamical Systems and Applications". She has participated in the 5th Heidelberg Laureate Forum 2017, in Heidelberg, Germany and was selected to be an Oberwolfach Leibniz Fellow during 2018. She has published 17 articles since 2011, delivered more than 60 lectures in conferences/seminars in Brazil and several other countries. She coordinated 7 research projects. She has won the International Bernd-Aulbach Prize for Students, awarded by the International Society of Difference Equations. Her field of interests includes functional differential equations, impulsive differential equations, generalized ordinary differential equations, and dynamic equations on time scales.

Host: Bohner

On square integrable solutions and principal solutions for linear Hamiltonian systems

Petr Zemánek
Associate Professor
Department of Mathematics and Statistics
Faculty of Science
Masaryk University

Friday, January 19, 2018
4:00-5:15 PM
Rolla Bldg G-5

 

Abstract: Zemanek_Abstract 

Dr. Zemánek earned his PhD from Masaryk University (Czech Republic) in June 2011 under the supervision of Roman Šimon Hilscher. Since July 2017 he has been  Associate Professor at the Department of Mathematics and Statistics of  Masaryk University. His main research interest lies in the spectral theory of differential, difference and dynamic equations or systems with a special attention paid to the theory of discrete symplectic systems.

Host: Akin

Coexistence problem for positive solutions of second order differential equations

Zuzana Došlá
Professor
Department of Mathematics and Statistics

Faculty of Science
Masaryk University

Thursday, January 18, 2018
Time: 4:00-5:15 PM
Location: Rolla Bldg G-5

Abstract: We study the second order Emden-Fowler type differential equation in the super-linear case. Using a new Holder-type inequality, we resolve the open problem on the possible coexistence on three possible types of nononscillatory solutions by using a new approach based on a special energy-type function, the existence of positive slowly decaying solutions is examined.

Zuzana Dosla is Full Professor at the Department of Mathematics and Statistics of  Masaryk University.  Her main research interest lies in the asymptotic theory  and boundary value problems for differential and difference equations.

Host: Akin


Past Colloquia

For past colloquium information, click here