Undergraduate Student Research
The Mathematics department at COFC offers opportunities and financial support for undergraduate research experience. Most of the time you will be able to attend conferences and present your research in front of your peers and other researchers. Such attendance at conferences, which are usually all paid for, also give you an opportunity for networking and to get valuable lessons in the art of communication. Many times participation can lead to research publications. Most importantly you get first hand experience about how Mathematics is "created". It is not really important whether you are a freshman or a senior or what is your background, just like any other art one can enjoy the stimulus and challenge at one's own level and be creative. The most important ingredients are enthusiasm and positive attitude with a bit of aptitude.
Here is what someone with the first hand experience has to say after participating in the research program at COFC.
| "As a Freshman majoring in Mathematics, I did not initially anticipate much opportunity for myself in actual research. This illusion was soon cleared, however, as I began studying under the guidance of Dr. Dinesh Sarvate. Even with my limited background and experience, I was quickly able to make the transition into contemplating new, undiscovered ideas. My undergraduate research project this previous summer was invaluable, not only due to the research itself, but also the incredible amount of information and skill I acquired during such a short time frame. Through complete immersion in the realm of theoretical pure mathematics, I learned not only what is required of mathematicians who continue to Graduate School and beyond, but also the fundamental concepts of how mathematics is discovered and proven. This understanding has lead to great success in my current courses, as I now can fully appreciate the logic, methodology and intuitive reasoning behind the numerous definitions, theorems and proofs that are being covered. Nothing has increased my mathematical prowess as greatly as the few months I spent over this summer. I cannot emphasize how much Undergraduate Research is really a necessity for any student seriously interested in Mathematics." |
| -Sam Buelk |
If you are interested in pursuing your own mathematics research, take the first step, talk with your favorite professor about academic year research or Summer research today!!
| SOME MATH RESEARCH PROJECTS DONE BY OUR STUDENTS | ||
|---|---|---|
| Project | Students | Faculty |
| A GDD construction using Mutually orthogonal latin squares | Devin Henson | Dinesh Sarvate |
| Algorithmic Complexity and Universal Prior Probability of Infinite Sequences via non-Halting Universal Turing Machines | Prerna Bihani | Jim Young |
| An Application of Symmetric Chains to Statistical Database Compromise Prevention Problem | Kevin Miller | Dinesh Sarvate |
| Chaotic Dynamics in Perturbed Nonlinear Equations | Kelly Sweetingham | Annalisa Calini |
| Comparison of Hospital Occupancy Patterns in American and English Hospitals | Sonja Killian | Gary Harrison |
| Comparison of Three Methods for Numerically Solving Stiff Ordinary Differential Equations | Andrew Cornwell | Gary Harrison |
| Continuous-Time Model of Inventory of Business Cycle | Dimitre Milkov | Annalisa Calini |
| Counting and Classifying Critical Points | Prerna Bihani | Tom Ivey |
| Difference Sets of Integers | Mark Creech and Darryl Adams (graduate student) | Oleg Smirnov |
| Faithful Enclosings of Group Divisible Designs Formed by Adding and Additional Group | Tarsem Purewal | Dinesh Sarvate |
| Integrable Dynamics of Vortex Filaments | Jane Ilina and Kevin Young | Annalisa Calini and Tom Ivey |
| Linear Codes through Latin squares modulo n | Alex Strehl | Dinesh Sarvate |
| Minimal Enclosings of Group Divisible Designs with Block Size 3 and Group Size 2 | Tarsem Purewal | Dinesh Sarvate |
| Nonstandard Methods in Kneser's Theorem for Upper Banach Density | Prerna Bihani | Renling Jin |
| Occurence of Epidemics in Isolated and Interacting Populations | Kelly Geyer | Gary Harrison |
| On group divisible designs with block size four and three groups | Devin Henson | Dinesh Sarvate |
| On the KdV Two Soliton Interaction | Kevin Young and Nicholas Benes (graduate student) | Alex Kasman |
| Predator Prey Systems with Differing Time Scales | Hollie Pitman | Gary Harrison |
| Simulation Model of Hospital Admissions and Occupancy | Andrea Shafer and Melissa Hancock (graduate student) | Gary Harrison |
| Slightly irregular Planar graphs I | Adrienne Chisolm | Dinesh Sarvate |
| Slightly irregular Planar graphs II | Jesse Raab | Dinesh Sarvate |
| Some necessary existence conditions, construction, and a list of partially balanced ternary designs | Jaideep Mirchandani | Dinesh Sarvate |
| Two block size PBDs with a maximum number of triples | Sam Buelk | Dinesh Sarvate |
| p-adic interpolation of the Fibonacci sequence via hypergeometric functions | Prerna Bihani and Wendy P. Sheppard (graduate student) | Paul Young |
| Universality of Rank 6 Plücker Relations and Grassmann Cone Preserving Maps | Amy Reiszl and Kathryn Pedings | Alex Kasman |
| Measure Theory | Kirk McMullan | Herb Silverman |
| Using Statistical Game Theory to study Tactical Approach Problem for Air Force Pilots | Mark Jones | Martin Jones |
| Ternary codes through ternary designs | Alexander Strehl | Dinesh Sarvate |
| Investigations of Periodic Orbits in Triangular Billiards | Cassel Sloan | Anna Calini |
| Integrable Dynamics of Knotted Vortex Filaments | Kelly Epperson | Anna Calini |
| Analytical and Numerical Investigations of Fourier Knot Evolution under Vortex Filament Flow | Kelly Epperson | Tom Ivey |
| PBDs with block sizes three and k where k=4 or 5 | Mathew King (GSSM) and Sam Buelk | Dinesh Sarvate |
| Fractional and Trigonometric Decomposition of Supermatrices | Stephen Yackey | Ben Cox |
| Introduction to Fractals | Bill McNeilts | Sandi Shields |
| Modeling and Simulating Thin Molecular Films | Barron Whitehead | Brenton leMesurier |
| Modeling Occupancy and Admissions Fluctuations among Pediatric Patients Using Compartmental Flow Models | Melissa Hancock | Gary Harrison |
| Difference sets of Integers: the infinite case | Darryl Adams | Oleg Smirnov |
| New Measures of risk in financial markets | Kirk McMullan | Martin Jones |
| Numerical Simulation of 1/k Flow for Curves | Ross Ingram | Tom Ivey |
| A new type of block designs: Adesigns andFurther results on Adesigns and t-adesigns |
William Beam | Dinesh Sarvate |
| Construction of families of Mutually orthogonal Latin Squares | Hau Chan | Dinesh Sarvate |
| On the Large Sets of SB designs and the non-existence of t-SB designs | Hau Chan | Dinesh Sarvate |
| Beautifully ordered balanced incomplete block designs | Hau Chan | Dinesh Sarvate |
