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Undergraduate Mathematics Institute - Some Data
The Undergraduate Mathematics Institute (UMI) is the
outreach leg of the CNA. Directed by W.O. Williams, and
supported by grants from the NSF, NSA, and CNA, its program
focuses on African-Americans, Hispanics, women, and other
under-represented groups, and on students from smaller
universities and colleges.
CNA members actively participate in the lecturing and
supervising of research projects at the UMI.
In the nine years of the current program there have been a
total of 121 students. Their distribution is given in the following
tables (all figures are rounded percentages).
| |
European- |
Asian- |
African- |
Hispanics & |
| |
Americans |
Americans |
Americans |
Native Americans |
| 1994-1996 |
51 % |
3 % |
26 % |
21 % |
| 1997-2002 |
52 % |
7% |
33% |
7 % |
| Total |
52 % |
6 % |
31 % |
12 % |
| |
Female |
Male |
| 1994-1996 |
56 % |
44 % |
| 1997-2002 |
59 % |
41 % |
| Total |
58 % |
42 % |
| |
Small College |
University |
| 1994-1996 |
49 % |
51 % |
| 1997-2002 |
75 % |
25 % |
| Total |
66% |
34 % |
(Excludes CMU Students)
A systematic effort was begun in 1997 to track previous and
current students in the Institute. This has been only
partially successful. Current data is
summarized as follows.
| |
Undergrad |
Term. MS |
PhD |
Working |
No Resp. |
Total |
| |
|
|
|
After BS |
|
|
| 1994 |
|
1 |
5 |
3 |
5 |
14 |
| 1995 |
|
|
5 |
1 |
6 |
12 |
| 1996 |
|
|
10 |
1 |
2 |
13 |
| 1997 |
|
3 |
6 |
|
3 |
12 |
| 1998 |
|
1 |
8 |
2 |
2 |
13 |
| 1999 |
|
3 |
7 |
2 |
3 |
15 |
| 2000 |
1 |
2 |
5 |
1 |
5 |
14 |
| 2001 |
3 |
2 |
1 |
2 |
6 |
14 |
| Total |
4 |
12 |
47 |
12 |
32 |
107 |
| Tot. % |
4 |
11 |
44 |
11 |
30 |
100 |
``PhD'' and ``MS'' include both degrees attained and
currently being sought. ``Working'' comprises those who
began technical work without completing an advanced degree.
In the period of the last three years the project areas and
project directors were:
| Topic |
Project Director |
| Computational Finance |
Prof. Steve Shreve |
| Partial Differential Equations |
Prof. Jack Schaeffer |
| Statistics of Finance |
Prof. Pantelis Vlachos (Statistics) |
| Discrete Models for Computation |
Prof. Shlomo Ta'asan |
| Variational Calculus |
Prof. Deborah Brandon |
| Bayesian Methods |
Prof. Pantelis Vlachos (Statistics) |
| Electoral Models |
Prof. John Tolle |
| Logic and Discrete Mathematics |
Prof. Richard Statman |
| Differential Equations & Variational Calculus |
Prof. Deborah Brandon |
| Computational Finance |
Prof. Bill
Hrusa |
| Discrete Mathematics |
Prof. Richard Statman |
In the same period the seminar series consisted of the
following speakers. (Not including repeat speakers.)
| Speaker |
Title |
| Paul Komarek, Grad. Student |
What I do as a Grad Student: |
| |
Research and Real-life |
| Prof. Dave Handron, CMU |
An Introduction to Morse Theory |
| Prof. Reha Tütüncü, CMU |
Optimization for a
Better Tomorrow |
| Prof. Bill Eddy, Statistics, CMU |
Flight-Data Analysis and Data Flight-Analysis |
| Prof. Lubos Thoma, CMU |
Ramsey Theory through Examples |
| Prof. Hyung Kim, Chemistry, CMU |
Molecular Dynamics
Computer |
| |
Simulation of Liquids |
| Dr. Clarissa Howison, NSA |
What's up with Astrodynamics |
| Profs. L. Wasserman &J.Cummings |
Graduate School
Admissions |
| Prof. Deborah Brandon, CMU |
Young's
Tacking Problem |
| Prof. Steve Shreve |
The Black-Scholes Formula |
| Aris Winger, Grad. Student |
The Experiences of Graduate
Life |
| Prof. Reha Tütüncü |
Rendezvous Search
Problems |
| Prof. Shlomo Ta'asan |
Stochastic Processes and
PDE |
| Prof. Ramamoorthi Ravi |
Reconstructing the tree of
life |
| Profs. B. Hrusa & Nicole Lazar |
Graduate School
Admissions |
| Prof. David Kinderler |
Math through a
Microscope: |
| |
new horizons for mathematics |
| Prof. Monica VanDieren |
A Connection Between Model Theory |
| |
and Number Theory |
| Prof. Tom Bohman |
Methods in Extremal Combinatorics |
| Prof. John Tolle |
Power in Weighted Voting Systems |
| Prof. Bard Ermentrout |
Mathematics Applied to Neuroscience |
| Prof. Jack Schaeffer |
Some Comments on Working in PDE |
| Prof. Noel Walkington |
Automated Mesh Generation |
| Scott
E. Greenholt |
Career Options for A Math Major |
In this period, projects were:
| Speaker |
Title |
| Jessica Elder, Jeffrey
Fernandez, |
Money, Money, Money |
| Thomas Oliver, &
Steven Tobar |
|
| Miyuki Breen & Ebony Graves |
HIV Modeling |
| David Van Valen |
Optimal Investment in |
| |
Continuous Time |
| Aarthi Gopal |
The Capital Asset Pricing Model - |
| |
in a Bayesian Framework |
| Vincent Costanzo |
String Vibrations |
| Elizabeth Chester |
Modeling Traffic Flow |
| |
with PDE's |
| John Hinrichsen |
Traffic Flow - |
| |
A Discrete Model |
| Bennie Garrett & |
Population Modelling: the |
| Oluwatosin Otitoju |
Importance of being Discrete |
| Phillip Nguyen |
Numerical Solutions of |
| |
Differential Equations |
| Amy Bardeen, Brandon Chaubaud |
Brachistoland |
| & Colin Hinde
Brooke Anderson |
Lower Bounds on |
| |
Circuit Complexity |
| Pamela Merkh & Megan Strohm |
Does NP-Complete You? |
| Bridgett Barlow & Krystal Williams |
Completeness of |
| |
the Resolution Proof |
| Michael Hussey & Abby Mroczenski |
The Federalist Papers |
| |
(a 200+ year old dispute) |
| Carter Gay & Jabari Haris |
A Serious Weight Problem |
| Leotis Lastrapes & Christina Webb |
Apportionment
Methods |
| Mary Lee |
Mathematical Modeling in |
| & Jennifer Sorkin |
Population Dynamics |
| Laura Bland |
The Max Flow/Min Cut Theorem |
| |
and its Applications |
| Amanda Glenn |
Chaos in Systems of |
| & Lamesha Junior |
Ordinary Differential Equations |
| Mark Herman |
Minimum Transit Time for |
| |
a Zero-Dmensional Boat |
| Carl Westine |
On the
Pricing of Perpetual |
| |
American Put Options |
| Pamela Pei |
The Agent-Client Maximizing |
| |
Utility (A-CMU) Problem |
| Tiffany Kinnibrugh |
Four Colors! |
| & Michael Young |
|
| David Korpi |
Optimal Consumption and Investment |
| |
with Two Utility Functions |
| Juliet Anderson, Vivian Bishay, |
Portfolio
Optimization Using |
| & Marian Hernandez-Viera |
the
Double Binomial Model |
|
