| Date |
Speaker(s) |
Title(s) |
Abstract |
Jan.31
|
Dept. faculty and
students
|
Interested in summer research? Graduate school?
|
Department
faculty and
student veterans will offer advice on applying for undergraduate
research
programs for summer 2006 and on getting ready to apply to graduate
programs for
2008-2009. Pizza and beverages at 12:15 in 416 Clapp.
|
Feb. 7
|
Rebecca Horowitz,
NC State
|
Multiple Regression and Diabetes
|
Once
data has been collected and basic descriptive statistics computed, how
do we create a model that can be used to make "good" predictions?
In this talk I will describe one such method, multiple regression, and
some variable selection methods that are commonly used to create such
models. As a motivating example these methods were applied to a
study on diabetes patients to determine which factors affect the
progression of the disease. Once a model has been formed, we can
use it to make predictions for future patients.
Pizza
and beverages at 12:15 in 416 Clapp.
|
Feb
13
Amherst
College
|
Ben Brubaker, MIT
|
On
Beyond Zeta: More infinite series in number theory
Undergrad. Conn. Valley
Colloqium
pizza 6pm, Seeley Mudd 208
talk 7pm, Seeley Mudd 206
RSVP for pizza:
awtorrey@amherst.edu
|
The
Riemann Hypothesis (RH) is probably the most famous unsolved problemin
mathematics. According to most pop-culture references, anyone who
attemptsto solve it is doomed to insanity (or at least, to cutting out
lots of newspaper clippings). The RH concerns a certain infinite series
known as the (Riemann)
zeta function. We'll talk about the zeta function, why it is of
interest to number theorists, some of the reasons why the Riemann
Hypothesis is so hard, and what other functions are lurking out there
with similar properties to the zeta function. Our hunt for these
functions will lead us in some surprising directions, including
such mathematically fashionable objects as "modular forms" and
"elliptic curves." No prior knowledge of these topics will be assumed
in the talk.
|
Feb
15
Willits
3-5pm
(liv. rm)
and
6:30-8:30 (Morrison room)
|
UMass,
Harvard, Yale reps
|
Public
Health Career Fair
PLEASE REGISTER by Wednesday, February 14, at:
www.alumnae.mtholyoke.edu/go/publichealth
|
Mount
Holyoke invites all five-college area students interested in learning
about careers in public health to a joint career fair and panel
discussion next Thursday, February 15.
Career Fair: Meet with representatives from UMass, Harvard, and Yale
Schools of Public Health to learn about their graduate programs.
From 6:30 to 8:30 p.m., join us for a panel discussion where
schoolrepresentatives and alumnae panelists will share their advice
with studentsconsidering post-graduate education and careers in public
health.Morrison Room, Willits-Hallowell Center. (Refreshments will be
served.) Featured alumnae panelists:
Julie M. Flahive '97, MPH student at UMASS and lecturer in
statistics at MHC
Margaret L. Harvey '84; Epidemiologist for Connecticut Dept. of
Public Health
Brittany L. McCrary '04, Health Counselor at Tapestry Health,
Amherst, MA
.Representatives from UMass, Harvard, and Yale Schools of Public Health
|
Feb. 14
|
Janet Rosenbaum,
Harvard U.
|
Do
teenagers always
tell the truth?
Estimating the prevalence of adolescent
risk behaviors from inconsistent self-report
|
Adolescents
do not always answer survey questions truthfully. Researchers
cannot detect lies directly, but they can detect logical contradiction,
such as when an adolescent gives different answers to the same question
in a short time frame. This study identifies question properties
associated with higher inconsistency and estimates the increased error
due to inconsistency. The data are from a reliability study of
the Youth Risk Behavior Survey (YRBS), in which a diverse convenience
sample of 4628 high school students answered the same72 questions at an
interval of two weeks. In the two week interval, the prevalence
of 41 of the 72 risk behaviors changed significantly. Linear
regression showed that questions about substance use are more
consistent than questions about other topics, and questions about
lifetime risk behaviors are more consistent than questions about
behaviors in other time frames. A Bayesian method estimated that
the standard error of the prevalence of 72 risk behaviors is at median
3.3 times larger than conventional estimates of standard error
(95% CI (1.9, 5.0)). The majority of questions on the YRBS do not
yield reliable estimates of risk behavior prevalence, but questions
which cannot be interpreted in multiple ways may be more reliable than
ambiguous questions. Conventional measures of uncertainty underestimate
the error on the prevalence of adolescent risk behaviors.
Pizza
and beverages at 12:15 in 416 Clapp. |
Feb. 21
|
Chris Mun,
U.Wisconsin
|
A non-deletion approach to detect discordant subjects in repeated
measurements.
|
<>As
will
be explained, functional data can be seen in many fields
such as medical research, engineering research, linguistic research,
etc, but
they have not been studied as much as other types of data, and the
diagnostics
for functional data is still in its infancy.
Some authors have attempted to adjust the typical diagnostic tools in
regression to functional data but those modified statistics are mainly
based on
the change of coefficients. And other
diagnostics previously proposed for growth curve data do not generalize
well to
random effects and nonlinear models.
Functional data
are different from the data in regression in the sense that
they have curves as their components. So
a potential discordant subject(s) should be dealt with in a different
manner. Two types of deviation are taken into
consideration and a technique is presented to simultaneously diagnose
subjects
in more than one sense. The new method
re-expresses residual sum of squares at each level and then
“studentize” them.
As secondary
applications, the proposed method can be facilitated to examine
the influence of each point in a given curve, and can play a graphical
measure
of goodness-of-fit. This method will be
the first to look at two dimensions of the outlier problem at once and
promises
to reveal more information about the shape and location of discordant
subjects.
The performance of
the proposed method can be seen in the simulation example
and in real data from biomedical engineering and orthodontic growth
data.
Pizza and beverages at 12:15 in
416 Clapp.
|
Feb.28
|
Margaret Robinson,
MHC
|
An introduction to the p-adic numbers
|
"16 is a REALLY even number," said six year old Phoebe. What's it
called when there are a lot of threes in a number?"
Answer: "The number is 3-adically very small."
Come learn about the 2-adics, the 3-adics, the 5-adics and, you got it,
the p-adics.
Pizza and beverages at 12:15 in 416
Clapp.
|
Mar. 7
|
Don
O'Shea,
MHC
|
The
Poincare Conjecture: in search of the shape of the universe
|
Pizza
and beverages at 12:15 in 416 Clapp.
|
Mar
7
4:00 p.m.
|
Kobi Abayomi, Columbia University
&
Haverford College
|
TBA
|
Talk
at 4:00 p.m. in 402 Clapp. Cookies and cider available at 3:45 in
416 Clapp.
|
Mar. 14
|
Harriet Pollatsek, MHC
|
Continuous Symmetry:
Calculus meets abstract algebra
|
This talk will give a glimpse
of the rich theory named for the nineteenth century Norwegian
mathematician Sophus Lie. Lie studied continuous groups of
symmetries, as a language to describe geometry and as geometries in
their own right. We’ll look at a few examples illustrating this
“double” geometry and showing how calculus gets into the act.
Regard this as shameless advertising for Math 319 (Topics in algebra:
Lie groups) next fall -- prerequisite linear algebra.
Pizza and beverages at 12:15
in 416 Clapp.
|
Mar. 28
|
Dept.
faculty
|
Information session on 300-level
courses, fall 2007
|
Come learn about 300-level courses
in mathematics and statistics for fall 2007, including both MHC
courses and offerings in the Valley. Pizza and beverages at 12:15
in 416 Clapp.
|
Apr.
3
Smith College
4:30 pm McConnell404
|
Peter
Shor,
MIT
|
Quantum
Computing
|
Quantum
computers are hypothetical devices which use the principles of quantum
mechanics to perform computations. For some difficult computational
problems, including the cryptographically important problems of prime
factorization and finding discrete logarithms, the best algorithms
known for digital computers are exponentially slower than the
algorithms known for quantum computers. Although they ave not yet been
built, quantum computers do not appear to violate any fundamental
properties of physics. I give a mathematical model of quantum
computation, explain how quantum mechanics provides this extra
computational power, and briefly describe the algorithm for efficient
prime factorization.
Tea at 4pm on 4th floor of Burton.
|
Apr. 4
|
Marjorie
Senechal, Smith
|
3-dimensional Penrose Tilings -- an
unsolved problem
|
Pizza and beverages at 12:15 in 416
Clapp..
|
Apr. 11
|
Allan Rossman,
Cal .Polytech. State Univ. at San Luis Obispo
|
Choosing the Best: Decision Making
under Uncertainty
|
A classic probability problem known
as the "Secretary Problem" illustrates the utility of a clever strategy
for making decisions under uncertainty. The problem is easy to
state: Your task is to hire a new employee for your company. You
know how many candidates have applied, you interview them one-at-a-time
in random order, and you can rank the candidates after you have
interviewed them. But the rules are that you have to decide
immediately whether or not to hire a candidate (i.e., you can't invite
one back later), and you must hire THE best candidate (i.e., if you
hire the second best one, you have failed). We will devise an
optimal strategy for choosing the best candidate and explore how well
it performs with both small and large numbers of candidates.
Pizza and
beverages at
12:15 in 416 Clapp.
|
Apr. 18
|
Stephanie
Jones,
Harvard Med School
|
Mathematics in
Biomedical Imaging: Using computational neural models to understand
human brain activity.
|
In this talk I will give a brief
introduction to the biomedical imaging technologies used for clinical
and basic science research at MGH, and how mathematics is essential in
the development and use of these technologies. The main focus of the
talk will be on MEG/EEG
(magnetoencepholography/electroencepholography) brain imaging and how
computer simulations of neural network models can be used to understand
the neural dynamics creating the measured brain signals. The
development of the neural models is based on the mathematics of
dynamical systems theory.
Pizza and beverages at
12:15 in 416 Clapp.
|
Apr.
21
Sat.
HRUMC
Siena C.
|
Georgia Benkart, U Wisconsin
|
Ladies
of the Rings
Plenary Lecture
|
Benkart's
talk is "a tale of science non-fiction about two women and their
magical mathematics."
Student speakers need an MHC faculty
sponsor; abstracts are due by February 25. See
http://www.skidmore.edu/academics/mcs/pages/hrumc14in.htm
|
Apr. 25
|
Richard
Jordan, MHC
|
How Differential Equations Broke My
Heart: Mathematical Models of (Dysfunctional) Relationships
|
Pizza and beverages
at noon in 416 Clapp.
|
May 2
|
Math/Stat
students
|
Math/Stat "Talk Back"
|
This is an opportunity for you
to give the
department advice about opportunities and events outside the classroom. (Seniors will get a detailed questionnaire ---
watch for it!) What are your reactions
to opportunities and events in 2006-2007? What
advice/suggestions do you have for 2007-2008?
Come share your ideas
and join the conversation.
. Pizza and
beverages at
12:15 in 416 Clapp. |