Department of Mathematical Sciences

Colloquium Series

Purpose: To discuss mathematical research and interdisciplinary problems in all areas of mathematics and applied mathematics. Talks are welcome from faculty, graduate students, and outside speakers from academia and industry. Talks should be at a level accessible to graduate students. Students and faculty at all levels and from all departments are welcome to attend.

Main Colloquium Page

Date/Time Speaker Title/Abstract
Friday September 14

4-5pm Crawford 401

Friday September 21

4-5pm Skurla 106

Dr. Jay Kovats

Florida Institute of Technology

Department of Mathematical Sciences

Title: On the Second Derivatives of Solutions of Fully Nonlinear Elliptic Partial Differential Equations

Abstract:

Friday September 28

4-5pm Crawford 401

Dr. Benjamin Hutz

Florida Institute of Technology

Department of Mathematical Sciences

Title: Periodic and preperiodic points for rational functions

Abstract: Given a rational function f(z), we can ask for values that are preperiodic, i.e. f^n(z) = f^m(z) for some integers n,m. In this talk we discuss a polynomial whose roots are periodic (or preperiodic) points emphasizing examples and open problems.

Friday October 5

4-5pm Crawford 401

Dr. Munevver Subasi

Florida Institute of Technology

Department of Mathematical Sciences

Title: An Exciting Supervised Learning Algorithm and Its Application to Medicine

Abstract: Logical Analysis of Data (LAD) is a classification method which integrates principles of combinatorics, optimization and Boolean functions. The research area of LAD was introduced and developed by Peter L. Hammer whose vision expanded the LAD methodology from theory to successful data applications in numerous biomedical, industrial and economics case studies. In this talk we present the LAD technique and its current applications to biomedical informatics.

Friday October 12

4-5pm Crawford 401

Juan Felix Avila Herrera

Florida Institute of Technology

Department of Mathematical Sciences

Title: A New LAD Software and a Max-Flow Approach to Generate LAD Models
Friday October 19

4-5pm Crawford 401

Dr. Nezamoddin Nezamoddini-Kachouie

Florida Institute of Technology

Department of Mathematical Sciences

Title: Analysis of Metabolic Response to Therapy in Functional Imaging
Friday October 26

4-5pm Crawford 401

Dr. Benjamin Hutz

Florida Institute of Technology

Department of Mathematical Sciences

Title: Arithmetic dynamics modulo primes

Abstract: Given a rational map f and a wandering point P, what can be said about the orbit of P modulo primes of good reduction. In particular, what information about f can be determined by looking at the dynamics of f modulo primes?

Friday November 2

4-5pm Crawford 401

Dr. Charles Fulton

Florida Institute of Technology

Department of Mathematical Sciences

Title: The Connection Problem for Sturm-Liouville equations with singular endpoints

Abstact: Recent results and open problems will be discussed.

Friday November 9

4-5pm Crawford 401

Troy Schaudt

Wolfram Research, Inc.

Title: Mathematica 8 in Education and Research

Abstract: This talk illustrate capabilities in Mathematica 8 that are directly applicable for use in teaching and research on campus. Topics of these technical talks include:

* Free-form linguistic input

* 2D and 3D visualization

* Dynamic interactivity & On-demand scientific data

* Example-driven course materials

* Symbolic interface construction

* Digital Image Processing, Parallelization, and Control Systems functionality

Current users will benefit from seeing the many improvements and new features of Mathematica 8 (http://www.wolfram.com/mathematica/new-in-8/), but prior knowledge of Mathematica is not required.

Friday November 16

4-5pm Crawford 401

Dr. Jian Du

Florida Institute of Technology

Department of Mathematical Sciences

Title: Computational Studies on Micro-Swimmers

Abstract: In this talk, I will present a novel computational algorithm to simulate complex fluid-structure interactions and numerical/mathematical studies of a multifluid swimmer.

I will also discuss the current work on extension of the method and its potential application to study real microorganism swimmings and cellular locomotions.

Friday November 23

4-5pm Crawford 401

Thanksgiving - no talk
Friday November 30

4-5pm Skurla 102

Dr. Jewgeni Dshalalow

Florida Institute of Technology

Department of Mathematical Sciences

Title: Random Measures and Their Applications

Abstract: A random measure is an enhancement of the usual (deterministic) measure. Particular classes of random measures are Poisson and Cox measures. Further embellishments are modulated random measures (such as Markov modulated Poisson measures) occurring in physics, electrical engineering, and control theory.