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News & Events
Posted: January 9, 2010
Speaker: Simon Gindikin
Date: April 28, 2010
Time: 5:00 p.m. - 6:00 p.m.
Place: Drexel University (University City Main Campus)
Building: LeBow Engineering Center (building 27 on campus map)
Room: 231 (Hill Conference Room)
Abstract:
This lecture is dedicated to the memory of Israel M. Gelfand (1913-2009), a great mathematician who had a crucial influence on many areas of 20th century mathematics. His active mathematical life spanned nearly 80 years. I was happy to know him for more than 50 years and to collaborate with him on several projects. Gelfand had an absolutely special style in mathematics and I want to discuss this style and some of his achievements. One of Gelfand's lessons was to think about mathematics in a general setting, but to explain it with examples. Following this advice I will focus on one of Gelfand's discoveries - integral geometry. It started almost exactly 50 years ago when Gelfand extracted from the representations of the Lorentz group a problem in geometric analysis that could be naturally generalized to a situation in which the group disappeared. Gelfand's dream was to discover a geometrical universe that encompassed not only semisimple Lie groups, but other important mathematical realities as well. We will discuss how much has been done in these 50 years and how far we are today from a realization of Gelfand's dream.
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Posted: June 1, 2009
Teaching Assistants Dimitrios Papadopoulos and Yun Yoo received teaching awards for the 2008-2009 Academic Year. Dimitrios Papadopoulos received the Al Herr Teaching Assistant Award and Yun Yoo received the Assistant Excellence Award. Dimitrios Papadopoulos was recognized at the End-of-Year Reception on June 10, 2009.
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Posted: May 29, 2009
Speaker: Shari Moskow, Drexel University
Date: June 3, 2009
Time: 3:30 - 5:00 PM
Place: Disque Hall, Room 109
Abstract:
Mathematicians and scientist are often looking for the solution to an equation. However, sometimes rather than solving the equation, scientists are working backwards from data to define the equation itself. This kind of inverse thinking shows up in areas like medical imaging, remote sensing, nondestructive testing, and many other areas of science. Specialists may be using this logic to find a tumor in a breast or to locate oil in a geoloical reserver. However, the smallest miscalculations in the acquired data can lead to large errors in defining the equation's parameters.
Dr. Moskow will discuss the challenges facing scientist and mathematicians in solving these "inverse problems."
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Posted: May 29, 2009
J. Douglas Wright won the Antelo Deveraux Award for Young Faculty. He was honored at the Faculty Recognition Dinner on Wednesday, June 3, 2009 in Behrakis Grand Hall.
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Posted: May 14, 2009
Patricia Russell won the Harold M. Myers Distinguished Service Award for 2008-2009 for her service work on one
or more occasions that has been recognized as truly significant in the life of the University. She was honored at the Faculty Recognition Dinner on Wednesday, June 3, 2009 in Behrakis Grand Hall.
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Posted: April 1, 2008
Speaker: Richard P. Stanley, Massachusetts Institute of Technology
Date: April 21, 2009
Time: 1:00 PM
Place: Drexel University (University City Main Campus)
Building: MacAlister (building 9B on campus map)
Room: University Club, 6th Floor
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Posted: March 18, 2009
Term: Spring 2009
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.
This one-term course is meant for graduate students majoring in mathematics,
engineering or one of physical sciences, which have different backgrounds, however
take common interest in both theoretical and applied aspects of complex analysis.
For more information click here
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Posted: March 17, 2009
Term: Spring 2009
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 this class, I will guide you through Hilbert spaces (where I am living
for years).
For more information click here
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Posted: March 11, 2009
Speaker: Janice Giannini
Date: March 12, 2009
Time: 12:00 PM - 2:00 PM
Place: Drexel University (University City Main Campus)
Building: Korman Center
Room: 245
Janice brings 25 years of corporate executive expertise from General Electric, Lockheed Martin and Arbitron to Drexel University for a career talk. Janice is an accomplished public speaker with experience in a wide variety of business sectors and venues. She has addressed forums ranging from small groups to apporximately one thousand participants. Her topics typically reflect her pragmatic outlook and style, ranging from aligning strategy with operations, to planning and motivation.
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Posted: December 8, 2008
Dr. Herman Gollwitzer, Associate Professor Emeritus of the Department of
Mathematics, College of Arts and Sciences, died December 3, 2008, due to
complications from a bone marrow transplant.
Dr. Gollwitzer joined Drexel University in 1969. From early on, Herman
was a strong contributor to the development of the department. He was one
of the first at Drexel to develop software for his classes when personal
computers became a standard feature. In 1988, he received from
EDUCOM/NCRIPTAL the Distinguished Software Award for the application
"Phase Portraits". During his last year at Drexel, in March of 2006, Dr.
Gollwitzer was one of the organizers of the Workshop on the Teaching of
Linear Algebra with key note speakers Gilbert Strang (MIT) and Peter Lax (NYU). In September
2006 Dr. Gollwitzer retired from Drexel. He has had a distinguished career
as a researcher, a teacher and a good citizen of the department. He will
be remembered as a dedicated and challenging teacher and as an energetic
mathematician.
Dr. Gollwitzer is survived by his wife, Judy Gollwitzer, their daughter
Meghan and their grandchildren.
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Posted: November 19, 2008
Speaker: George Eyre Andrews, Pennsylvania State University
Date: January 15, 2009
Time: 1:00 PM
Place: Drexel University (University City Main Campus)
Building: LeBow Engineering Center (building 27 on campus map)
Room: 240 (Hill Conference Room)
Abstract:
In 1976 quite by accident, I stumbled across a collection of about 100 sheets of mathematics in Ramanujan's handwriting; they were stored in a box in the Trinity College Library in Cambridge. I titled this collection "Ramanujan's Lost Notebook" to distinguish it from the famous notebooks that he had prepared earlier in his life. On and off for the past 32 years, I have studied these wild and confusing pages. Some of the weirder results have yielded entirely new lines of discovery. Sometimes, if you pay close attention, you can gain some possible insights about the searches that Ramanujan undertook and the questions he must have asked himself. Even if such speculations may be far from Ramanujan's actual thinking, they are nonetheless valuable exercises to undertake. Some of these flights of fancy will form the topics in this talk.
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Posted: October 14, 2008
Speaker: David Ambrose, Drexel University
Date: October 15, 2008
Time: 3:30 - 5:00 PM
Place: Disque Hall, Room 109
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Posted: August 21, 2008
Term: Fall 2008
Instructor: Leo Lampone
Description:
Introduction to Fourier series for use in solution of boundary value problems in partial differential equations of engineering and physics. Classical separation of variables technique, basic Fourier series representation of functions, concept of orthogonal sets of (eigen) functions, and representations of arbitrary functions in series of functions from such sets. Sturm-Liouville problems and solution methods.
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Expired
Posted: August 11, 2008
The Department of Mathematics at Drexel University invites applications
for at least two tenure-track/tenure positions, effective September 2009.
We are especially interested in candidates in Probability, Combinatorics,
Dynamical Systems, Mathematical Biology, Partial Differential Equations,
and Computational Mathematics, 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/157/1280 and follow instructions 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, 2008 and continue until the
positions are filled. Drexel University is an Equal
Opportunity/Affirmative Action Employer.
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Expired
Posted: June 10, 2008
The Department of Mathematics at Drexel University invites applications
for 9 month renewable full time teaching faculty positions for 2008-09.
Applicants are required to hold a M.S. 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). Review of applicants will
start immediately.
To apply for this position please visit
https://www.mathjobs.org/jobs/157/1209 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)
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Posted: June 5, 2008
Date: September 8-9, 2008
The purpose of the workshop is to bring together mathematicians, physicists and students interested in the interaction between topology and physics. Six invited lectures will describe various classical and current aspects of this interaction at a level appropriate to an audience of non-specialists. Poster sessions and extended discussion periods will provide the opportunity for participants to exchange ideas and establish contacts and collaborations.
For more information click here
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Posted: May 19, 2008
Date: May 28, 2008
Place: Korman Center, Room 207
For more information click here
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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.
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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
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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
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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)
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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
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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.
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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
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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
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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
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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.
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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
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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.
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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
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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
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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)
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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
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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.
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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
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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.
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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
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Posted: November 27, 2006
Term: Winter 2006
Instructor: Yihong Zhang
Description: Basic and advanced SAS programming course.
For more information click here
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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
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News & Events Archive
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