| |
|
 |
|
|
|
|
News & Events
Posted: April 8, 2008
Speaker: J. Douglas Wright, Drexel University
Date: April 9, 2008
Time: 3:30 - 5:00 PM
Place: Disque Hall, Room 109
Abstract:
Not all systems react to input in a linear way. It is not always the case that if you put twice (or thrice) as much into a system, you get twice (or thrice) as much out. The relationship between in and out might be yet more complicated. It turns out that this sort of "non-linearity" is extremely important when investigating the propagation of signals and waves in many different physical settings, be they on the surface of the ocean or in an axon in your nervous system.
Dr. Wright will discuss the crucial role non-linearity plays in the generation and behavior of these types of waves.
|
Posted: February 18, 2008
Term: Spring 2008
Instructor: Georgi Medvedev
Description:
Computational neuroscience is a rapidly growing field of science with promising applications to physiology, medicine, and psychology, to name a few. It uses mathematical and computational modeling for studying how the nervous system functions.
For more information click here
|
Posted: February 14, 2008
Term: Spring 2008
Instructor: Dmitry Kaliuzhnyi-Verbovetskyi
Description:
Fourier (or harmonic) analysis is a discipline which lies in the intersection of classical and functional analysis and has many applications to differential equations, opeator theory, probability and statistics, number theory, and many other areas of mathematics, physics, and engineering.
For more information click here
|
Posted: February 8, 2008
Term: Spring 2007-08
Instructor: Thomas Yu
Description:
What do modern digital image compression, X-Ray tomography, and the analytic solution of heat equation have in common?
They are all based on special linear transformations applied to the underlying objects of interest.
This course will focus on the mathematical foundation of these transforms, and will discuss some of the applications of the theory.
Textbooks:
Stephen Mallat - A Wavelet Tour of Signal Processing (for wavelet transforms)
Charles Epstein - Introduction to the mathematics of medical imaging (for
Fourier and Radon transforms)
|
Posted: January 29, 2008
Speaker: Evandro Manica, University of Pittsburgh
Date: February 1, 2008
Time: 2:00 PM
Place: Korman 245
For more information click here
|
Posted: January 14, 2008
Speaker: Thomas Yu, Drexel University
Date: January 16, 2008
Time: 3:30 - 5:00 PM
Place: Disque Hall, Room 109
Abstract:
The current "data deluge" inundating science and technology is remarkable not only for the overwhelming volumes of data, but also for the rapid proliferation in new data types.
In any case, multi-scale data representation has been an indispensable tool for efficient manipulation of such data, leading to state-of-the-art methods for compression, transmission, noise removal, classification, etc. of data.
This talk will survey some of the fundamental ideas underlying these technologies.
|
Posted: November 20, 2007
Term: Winter 2007
Instructor: Dmitry Kaliuzhnyi-Verbovetskyi
Description:
Graduate students who took a walk around the three-dimensional space of Multivariate
Calculus and then travelled to higher-dimensional spaces of Linear Algebra
are invited to undertake a new journey: to infinite-dimensional spaces of Functional
Analysis. In the winter term I will guide you through Hilbert spaces.
For more information click here
|
Posted: November 1, 2007
Term: Winter 2007
Instructor: Georgi Medvedev
Description:
The language and techniques from the dynamical systems theory are used in the fields as diverse as physics, economics, and biology. The goal of this course is to present several important topics from this theory in a setting that is as simple as possible. Specifically, we shall study the basic theory for the dynamics of iterated one-dimensional maps. The topics include structural stability, bifurcations, symbolic dynamics, and chaos. The only prerequisite for this course is a solid background in calculus.
For more information click here
|
Posted: October 29, 2007
Term: Winter 2007
Instructor: Hugo Woerdeman
Description:
This course is a follow up on Math 504: Linear Algebra and Analysis. Central to this course are the following ten theorems, which will be treated along with their background, consequences and applications:
- Toeplitz-Hausdorff Theorem
- Ando's characterization of the numerial radius unit ball
- Lyapunov's Theorem
- Fischer's Inequality for M-matrices
- Birkhoff's Theorem
- A. Horn's Matrix Product Theorem
- A. Horn's Sufficiency Theorem
- Solvability Theorem for AX+XB=C
- Schur Product Theorem
- Lie Product Formula
For more information click here
|
Posted: October 2, 2007
Speaker: Yixin Guo, Drexel University
Date: October 3, 2007
Time: 3:30 - 5:00 PM
Place: Disque Hall, Room 109
Abstract:
The therapeutic effectiveness of deep brain stimulation (DBS) of the subthalamic nucleus (STN) may arise through its effects on inhibitory basal ganglia outputs, including those from the internal segment of the globus pallidus (GPi). Changes in GPi activity will impact its thalamic targets, representing a possible pathway for STN-DBS to modulate basal ganglia-thalamocortical processing. We use computational models to examine thalamocortical (TC) relay cell responses to an excitatory input train, under a variety of GPi inhibitory signals obtained from both single-unit experimental recordings and stochastic simulations. Specifically, inhibitory inputs featuring correlated bursts yielded compromised TC relay, whereas relay fidelity improved under relatively tonic inhibition.
These results support the hypothesis that STN-DBS alters parkinsonian GPi activity in a way that may improve TC signal processing.
|
Cancelled
Posted: September 14, 2007
Term: Fall 2007
Instructor: Dmitry Kaliuzhnyi-Verbovetskyi
Description: Complex analysis is a necessary ingredient in education of a modern mathematician
as well as a powerful tool for physicists and engineers. Many problems in
algebra, analysis and their applications, formulated originally in terms of real variables,
either could not be solved or have too complicated solution without extension
to the setting of complex variables.
For more information click here
|
Posted: July 30, 2007
The Department of Mathematics at Drexel University invites applications for at least one tenure-track/tenure position, effective September 2008.
We are especially interested in candidates in (i) Mathematical Biology
(ii) Stochastic Differential Equations (iii) Statistics and (iv) Numerical Analysis and Computation, though exceptional candidates in other areas will be considered as well.
Applicants must possess a doctoral degree in mathematics, statistics, or equivalent and show a strong record and commitment to research and teaching.
Applicants for senior positions should demonstrate an outstanding record of achievement commensurate with the level of appointment, including a track record of external support and research group leadership.
Drexel University is a private, urban university, with over 10,000 full-time undergraduates and is well-known for its co-operative education program. The Mathematics Department offers undergraduate, masters and PhD degrees.
To apply for this position please visit
https://www.mathjobs.org/jobs/157/848 and click on "Apply" to submit all relevant materials online. These include: AMS cover sheet, letter of application, vita, statement of research program and evidence of teaching effectiveness and at least three letters of reference.
Review of applications will begin December 1, 2007 and continue until the positions are filled. Drexel University is an Equal Opportunity/Affirmative Action Employer.
|
Posted: May 16, 2007
Speakers: Justin Smith, Thomas Yu, Robert Boyer
Date: May 23, 2007
Time: 11:00 AM - 3:00 PM
Place: Korman 247
For more information click here
|
Posted: May 9, 2007
Term: Fall 2007-08
Instructor: Bob Gilmore, Gregory Naber
Description: "Quantum field theory arose out of our need to describe the ephemeral nature of life." - Tony Zee The life of particles, that is. In the realm of phenomena where both special relativity and quantum mechanics must be taken into account particles can be born and particles can die. Quantum field theory describes the process.
It is physics, not mathematics, but the impact on mathematics of ideas arising in quantum field theory has been profound. This year long course
of lectures and discussions will introduce the physical and mathematical foundations (based, perhaps loosely, on the text by Lewis H. Ryder, Quantum Field Theory, 2nd Edition, Cambridge University Press, 1996) and
explore some of their implications.
For more information click here
|
Expired
Posted: May 4, 2007
The Department of Mathematics at Drexel University invites applications for 9 month renewable auxiliary faculty teaching positions for 2007-08.
Applicants are required to hold a MS or Ph.D. in a Mathematical Science or equivalent, and to be able to demonstrate excellence in teaching beginning and advanced students. A two-year offer may be made to exceptional candidates. Salary is commensurate with experience, and will be negotiated.
Please submit a cover letter explaining your interest in the position, curriculum vitae, statements of teaching and documentation of excellence in teaching (e.g., letters of recommendation, several teaching references and/or complete student evaluation responses).
To apply for this position please visit https://www.mathjobs.org/jobs/157/808 and follow instructions to submit all relevant materials online.
Drexel University is a private, urban university, with over 10,000 full-time undergraduates and is well-known for its co-operative education program. The Mathematics Department offers undergraduate, masters and PhD degrees.
Drexel University is an Equal Opportunity/Affirmative Action Employer and, to diversify its faculty and enrich its curriculum, women and minority candidates are especially encouraged to apply. Applications will be accepted until the positions are filled. (Inquiries may be directed to
mathsearch @ math.drexel.edu)
|
Posted: March 7, 2007
Dr. Woerdeman announces NSF funded Undergraduate Research Projects.
I have a wide range of interests in mathematics and I enjoy doing research with undergraduate students on various topics. This can be funded through my NSF grant which has a Research Experiences for Undergraduates (REU) component. In the past, I have conducted undergraduate research projects on matrix theory, operator theory and harmonic analysis. For more information click here
|
Posted: February 27, 2007
Speaker: Mahir Bilen Can, University of Western Ontario
Date: February 28, 2007
Time: 4:00 - 5:00 PM
Place: Korman 247
Abstract: The theory of linear algebraic monoids has been discovered and developed by M. Putcha and L. Renner during the past 20 years. Curiously, this topic has not been able to achieve its deserved reputation yet. In our talk, we will define and give examples of linear algebraic monoids and we will try to convince the audience why we should pay attention to these objects.
|
Posted: February 21, 2007
Term: Spring 2006-07
Instructor: Georgei Medvedev
Description: Computational neuroscience is a rapidly growing field of science with
promising applications to physiology, medicine, and psychology, to name a few. It uses
mathematical and computational modeling for studying how the nervous system functions.
After a classical series of papers by Hodgkin and Huxley, nonlinear differential equations
became a common framework for modeling electrical activity in neural cells. Now the language
and methods of the theory of differential equations and applied dynamical systems
are indispensable parts of the theoretical neuroscience.
For more information click here
|
Posted: December 22, 2007 
Speaker: Ingrid Daubechies, Princeton University
Date: January 10, 2007
Time: 3:30 - 5:00 PM
Place: University Club (MacAlister Hall, 6th Floor)
Abstract: Wavelets are a new approach used in the analysis of sounds and images, as well as in many other applications. The wavelet transform provides a mathematical analog to a music score: just as the score tells a musician which notes to play when, the wavelet analysis of a sound takes things apart into elementary units with a well defined frequency (which note?) and at a well defined time (when?). For images wavelets allow you to first describe the coarse features with a broad brush, and then later to fill in details. This is similar to zooming in with a camera: first you can see that the scene is one of shrubs in a garden, then you concentrate on one shrub and see that it bears berries, then, by zooming in on one branch, you find that this is a raspberry bush. Because wavelets allow you to do a similar thing in more mathematical terms, the wavelet transform is sometimes called a "mathematical microscope".
Wavelets are used by scientists for many different applications, in a wide range of fields. In addition, wavelets are also finding their uses outside science as well.
The talk will start by explaining the basic principles of wavelets, which are very simple. Then they will be illustrated with some examples.
|
Posted: December 14, 2006
Term: Winter 2006
Instructor: Dmitry Kaliuzhnyi-Verbovetskyi Description: This is a core mathematical course which serves as an introduction to measure
theory and integration, and as a base for further studies in function theory, functional analysis, and harmonic analysis. It is essential for better understanding of
probability theory and approximation theory.
For more information click here
|
Posted: November 27, 2006
Term: Winter 2006
Instructor: Yihong Zhang
Description: Basic and advanced SAS programming course.
For more information click here
|
Posted: November 9, 2006
Term: Winter 2006
Instructor: Hugo Woerdeman
Description: Matrix completion problems are concerned with finding a matrix of which some entries are prescribed and which belongs to a certain class. In this course we shall mainly focus on the class of positive definite matrices, as this class appears in many applications. As an example, the trigonometric moment problem, where a positive valued function defined on the unit circle in the complex plane is sought that has certain prescribed Fourier coefficients, may be viewed as a positive definite matrix completion problem. In this course we will treat these classical problems which have applications in filter design, but we will also encounter some very recent results that appear in the active research area of multivariable moments problems.
For more information click here
|
News & Events Archive
|
|
