# Our Alumni

## Quick Links

Honors and Awards Recipients

Faculty and Student Publications

Senior Projects in Applied Mathematics

Honors Thesis Projects

SURE Projects Archive

PURE Projects Archive

## Honors and Awards Recipients

### Class of 2009

**Boyan Kelchev, Valedictorian**

Major: Computer Science

Minor: Mathematics and Spanish

Current Occupation: Software and Systems Engineering, Forward Slope Inc., San Diego

### Class of 2007

**Darren Davis, Goldwater Scholar**

Major: Computer Science

Current occupation: Ph.D. candidate in Computer Science, University of California, Irvine

**Justin T. Webster, Goldwater Scholar and Valedictorian**

Major: Mathematics

Current occupation: Ph.D. candidate in Mathematics, University of Virginia

### Class of 2006

**Nancy Rodriguez, Goldwater and McNair Scholar**

Major: Mathematics with Applied Emphasis and Industrial Engineering

Current occupation: Ph.D. candidate in Applied Mathematics, University of California, Los Angeles

### Class of 2005

**Daniel A. James, McNair Scholar**

Major: Mathematics

## Faculty and Student Publications

Meghan Gunn ‘09 and Simon. G. M. Koo, Ph.D. "A Comparative Study of Medium Access Control Protocols for Wireless Sensor Networks," *International Journal of Communications, Network and System Sciences*, November 2009, to appear.

Ani P. Velo, Ph.D., George A. Gazonas, Ph.D., and Takanobu Ameya '04, "z-Transform Methods for the Optimal Design of One-Dimensional Layered Elastic Media," *SIAM Journal on Applied Mathematics*, Vol.70, No.3, (2009), pg. 762-788.

Ani P. Velo, Ph.D., George A. Gazonas, Ph.D., Edwin Bruder, and Nancy Rodriguez '06, "Recursive Dispersion Relations in One-Dimensional Periodic Elastic Media," *SIAM Journal on Applied Mathematics*, Vol. 69, No. 3 (2008), pg. 670-689.

Basia Korel ’07 and Simon G. M. Koo, Ph.D., “Addressing context awareness techniques in body sensor networks,” Proceedings of the IEEE 21st International Conference on Advanced Information Networking and Applications (AINA '07), *First International Workshop on Smart Homes for Tele-Health*, Niagara Falls, Canada, May 21-23, 2007.

Darren Davis ’07 and Eric Jiang, Ph.D., “Exploring Content and Linkage Structures for Searching Relevant Web Pages,” *Lecture Notes in Artificial Intelligence*, 4632 (2007), pg. 15-22.

Simon G. M. Koo, Ph.D., and Ashley Olson ’07, “Capital asset pricing model revisited: Empirical studies on beta risks and return,” *Proceedings of the SCS Spring Simulation Multiconference, Business and Industry Symposium* (BIS '07), Norfolk, VA, March 25-29, 2007.

Daniel P. Sheehan, Ph.D., Jeffrey H. Wright, Ph.D., Andrew N. Putnam ‘04, and Emily K. Perttu ‘06, "Intrinsically biased, resonant NEMS-–MEMS oscillator and the second law of thermodynamics"', *Physica E* 29: 87-99, (2005).

Jeffrey H. Wright, Ph.D., Daniel P. Sheehan, Ph.D., and Andrew N. Putnam ‘04, "A Novel Sub-micron Electrostatic Motor", *Journal of Nanoscience and Nanotechnology*, 3(4):329–334, August 2003.

Jeffrey H. Wright, Ph.D., Daniel P. Sheehan, Ph.D., and Andrew N. Putnam ‘04, "A Nanoscopic Rotary Electrostatic Motor", *Proceedings of the Nanotech 2003 Conference*, November 2002.

Daniel P. Sheehan, Ph.D., Andrew N. Putnam ‘04, and Jeffrey H. Wright, Ph.D., "A Solid-State Maxwell Demon", *Foundations of Physics*, 35(10):1557–95, October 2002.

## Senior Projects in Applied Mathematics

### Class of 2008

**Paul Yandell**

Project Title: Identifying Vibrational Modes using the Finite Element Method

Field of Study: Mathematical Physics and Mechanical Engineering (Mathematical Modeling, Finite Elements, Lisa software)

Advisor: Jeffrey H. Wright, Ph. D.

### Class of 2007

**Cody Deckard**

Project Title: Minimizing Temperature Gradient of Two-Dimensional Material Designs using Calculus of Variations

Field of Study: Mathematical Physics and Engineering (Steady State Heat Equation, Temperature Gradient, Heat Conductors, Matlab software: PDE toolbox)

Advisor: Ani P. Velo, Ph.D.

**Nicole Loeffler**

Project Title: Voting Theory: Violations of the Majority Criterion and the Condorcet Loser Criterion by the

Borda Count Method and Plurality Voting

Field of Study: Voting Theory (Combinatorics, Probability, Matlab software)

Advisor: Jane Friedman, Ph.D.

### Class of 2006

**Nancy Rodriguez**

Project Title: A Direct Generalization of the Approach of Deriving the Dispersion Relation in One-Dimensional Periodic Layered Elastic Media

Field of Study: Mathematical Physics and Engineering (Wave Propagation, Elastic Layered Media, Maple software)

Advisor: Ani P. Velo, Ph. D.

**Jessica Watschke**

Project Title: Investigations into Hare's Voting Method and the Condorcet Winner Paradox

Field of Study: Voting Theory (Combinatorics, Probability, Matlab software)

Advisor: Jane Friedman, Ph.D.

### Class of 2005

**Adrian Araguas**

Project Title: Using Random Walks to Model the Solutions of Partial Differential Equations

Field of Study: Heat Equation, Random Walks/Monte-Carlo Method

Advisor: Lukasz Pruski, Ph.D.

**Kevin Brink**

Project Title: Clam Evolution using a Continuous Age and Time Structured Model

Field of Study: Mathematical Biology (Population Dynamics, Differential Equations, Method of Characteristics, Matlab software)

Advisor: Jeffrey H. Wright, Ph.D.

Co-Advisor: Ani P. Velo, Ph.D.

**Alessa Ellefson**

Project Title: The Effect of Composites on the Temperature Gradient of Two-Dimensional Material Designs

Field of Study: Mathematical Physics and Engineering (Steady State Heat Equation, Temperature Gradient, Heat Conductors, Matlab software: PDE toolbox)

Advisor: Ani P. Velo, Ph.D.

**JoAnna P. Mahiai**

Project Title: Dispersion Relations in One-Dimensional Elastic Periodic Media with Symmetric Cell Configuration

Field of Study: Mathematical Physics and Mechanical Engineering (Wave Propagation, Elastic Layered Media, Maple software)

Advisor: Ani P. Velo, Ph.D.

### Class of 2004

**Takanobu Ameya**

Major: Mathematics with Applied Emphasis

Project Title: The z-Transform Method and its Applications to Wave Propagation in Layered Media

Field of Study: Applied Mathematics to Mechanical Engineering (Difference/Differential Equations, Linear Algebra, Matlab and Maple software)

Advisor: Ani P. Velo, Ph.D.

**Adam Carney**

Major: Mathematics with Applied Emphasis

Project Title: Determining the Offensive Value of a Major League Baseball Player using Linear Regression Analysis and Bootstrap

Field of Study: Sport Statistics (Baseball, Bootstrap method, SPSS software)

Advisor: Cameron Parker, Ph.D.

Co-advisor: Ani P. Velo, Ph.D.

**Elizabeth Herman**

Project Title: How Many Judges Does it Take to Screw in a Lightbulb?

Field of Study: Applied Mathematics to Computer Science, Graph theory and Algorithm Analysis

Advisor: John Glick, Ph.D.

**Dragan Plakalovic**

Major: Mathematics with Applied Emphasis

Project Title: Stress Wave Propagation through Non-Goupillaud Type Elastic Layered Media

Field of Study: Applied Mathematics to Mechanical Engineering, Method of Characteristics, Difference/Differential Equations.

Advisor: Ani P. Velo, Ph.D.

## Honors Thesis Projects

### Spring 2008

**Darren Davis**

Major: Computer Science

Project Title: Evolution and Co-evolution of Computer Programs for a Localized Information Network Maintenance Task

Field of Study: Computer Science (Genetic Algorithms)

Advisor: Eric Jiang, Ph.D.

### Fall 2008

**Martin Henningsgard**

Major: Computer Science

Project Title: Incentive mechanisms in P2P Networks

Field of Study: Computer Science (Distributed Systems and Networking)

Advisor: Simon Koo, Ph.D.

## Summer Undergraduate Research Experience (SURE) Projects Archive

### Summer 2009

**Matt Gigli**

Major: Computer Science and Electrical Engineering

Project Title: Off-Topic Search Detection for Information Systems

Field of Study: Computer Science (Computer Forensics)

Advisor: Eric Jiang, Ph.D.

**James Gill**

Major: Mathematics

Project Title: Extending the Ornstein-Uhlenbeck Process: From Randomness to Order

Field of Study: Stochastic Processes; Simulation; Economics

Advisor: Lukasz Pruski, Ph.D.

### Summer 2008

**Ted Turpen**

Major: Computer Science

Project Title: Predictive Analysis and Search Engine Personalization

Field of Study: Computer Science (Text Mining)

Advisor: Eric Jiang, Ph.D.

### Summer 2007

**Jacquelyn Vermillo Herman**

Major: Computer Science

Project Title: Location-aware P2P Service

Field of Study: Computer Science (Mobile Networking)

Advisor: Simon Koo, Ph.D.

**Paul Yandell**

Major: Mathematics with Applied Emphasis

Project Title: Using Calculus of Variations to derive Dispersion Relations in One-Dimensional Periodic

Layered Elastic Media

Field of Study: Mathematical Physics (Wave Equation, Calculus of Variations)

Advisor: Ani P. Velo, Ph.D.

### Summer 2006

**Darren Davis**

Major: Computer Science

Project Title: Similar Web Page Search Using Linkage and Content Information

Field of Study: Computer Science (Web Link Analysis and Mining)

Advisor: Eric Jiang, Ph.D.

**Paul Yandell**

Major: Mathematics with Applied Emphasis

Project Title: Stress Wave Propagation along a Finite Elastic Strip of Six-Layers

Field of Study: Mathematical Physics (Wave Equation, Matlab software)

Advisor: Ani P. Velo, Ph.D.

### Summer 2005

**Aaron Winter**

Major: Computer Science

Project Title: Data Mining Using Semantic Vector Models

Field of Study: Computer Science (Data Mining)

Advisor: Eric Jiang, Ph.D.

### Summer 2004

**Michael Marquez**

Major: Computer Science

Project Title: Document Management and Filtering Systems

Field of Study: Computer Science (Document Databases)

Advisor: Eric Jiang, Ph.D.

**Nancy Rodriguez**

Major: Mathematics with Applied Emphasis and Industrial Engineering

Project Title: Displacement Analysis on a Three-Layered Elastic Strip subjected to Heaviside Loading

Field of Study: Mathematical Physics and Mechanical Engineering (Mathematical Modeling, Matlab software)

Advisor: Ani P. Velo, Ph.D.

### Summer 2003

**Brian Sullivan**

Major: Mathematics

Project Title: Finding Initial Bounding Functions for the Chaplygin’s Method of Solving First-Order Differential Equations

Field of Study: Mathematics (Differential Equations; Successive Approximation Methods)

Advisor: Lukasz Pruski, Ph.D.

**Thomas Davis**

Major: Physics

Minor: Mathematics

Project Title: Optimal Design of Three-Layered Elastic Media of Goupillaud-type, Honorable Mention Award

Field of Study: Mathematical Physics and Mechanical Engineering (Mathematical Modeling, Optimization, Matlab software)

Advisor: Ani P. Velo, Ph.D.

### Summer 2002

**Sara Salerno**

Major: Biochemistry

Project Title: Neural Networks Learn Algebra and Calculus

Field of Study: Machine Learning (Neural Networks), Computer Simulation

Advisor: Lukasz Pruski, Ph.D.

**James Tracy**

Major: Computer Science

Project Title: An Information Indexing and Retrieval System with Graphical User Interface

Field of Study: Computer Science (Information Retrieval)

Advisor: Eric Jiang, Ph.D.

## PURE Projects Archive

### Summer 2009

**Nick Nobles**

Major: Computer Science and Mechanical Engineering

Project Title: Building a Vector Space Based Information Retrieval System Using MATLAB

Field of Study: Computer Science (Information Retrieval)

Advisor: Eric Jiang, Ph.D.