The Cameron University Department of Mathematical Sciences showcased current research outcomes at the Joint Mathematics Meeting, the largest mathematics meeting in the world, in early January. Five CU students and four faculty members delivered oral presentations.
“With more than 6,000 attendees, the Joint Mathematics Meeting provides an outstanding learning and networking opportunity for Cameron students and faculty members,” says Dr. Narayan Thapa, Chair, Department of Mathematical Sciences. “The science of mathematics plays a crucial role in virtually all segments of technology, computer science, medical research, business and industry and more. We believe that providing undergraduate research opportunities to students who are majoring in these disciplines will strengthen their overall understanding of their chosen career fields.”
Student presenters and their respective topics were:
Mariama Abramson, biology major from Cache: “Disparities in Cutaneous Melanoma hazard rates between whites and Black/African Americans in the USA from 1973 through 2014.” Existing research indicates that African-Americans have higher survival rates from melanoma than Caucasians and that women have higher survival rates than men in both racial groups. This research sought to determine if the results are also true of hazard rates and was conducted under the guidance of Dr. Jean-Jacques Kengwoung-Keumo.
Melvin Lipka, mathematics and computer science major from Rendsberg, Germany: “Identification of time dependent control parameter through finite difference method in parabolic partial differential equation.” This research project focuses on computational inverse problems, which are key elements in medical imaging, underground prospecting, nondestructive testing, astronomical imaging, image processing, remote sensing, data mining and more. Lipka worked under the guidance of Dr. Narayan Thapa.
Jashmon Rana, mathematics and computer science major from Kathmandu, Nepal: “Comparison of numerical solutions of Advection-Reaction-Dispersion Model.” Rana’s research focused on the Advection-Reaction-Dispersion model that is instrumental in the study of the transportation of chemical or biological contaminants through subsurface aquifer systems. Rana also conducted his research under the guidance of Drs. Gokul Kadel and Narayan Thapa.
Samundra Regmi, mathematics and computer science major, Nawalparasi, Nepal: “Diffie-Hellman key exchange protocol and its software implementation.” The Diffie-Hellman key exchange protocol is widely used in cryptographic algorithms. Regmi’s research focused on software implementation of the Diffie-Hellman key exchange protocol using Python. Regmi’s research was conducted under the guidance of Dr. Parshuram Budhathoki.
Nirjal Shrestha, mathematics and computer science major from Kathmandu, Nepal: “Convergence of iterative methods under weak conditions.” Shrestha’s research focuses on convergence of iterative methods using only hypotheses on the first derivative in order to expand the applicability of these methods. He conducted his research under the guidance of Dr. Ioannis Argyros.
Faculty presenters and their respective topics were:
Dr. Parshuram Budhathoki, Assistant Professor: “Elliptic Curve based RFID authentication scheme and its software implementation.” Budhathoki’s presentation was a preliminary report on a project examining Radio Frequency Identification (RFID) authentication scheme using Elliptic Curve Cryptography and its software implementation using Python.
Dr. Gokul Kadel, Assistant Professor: “Spectrum of hypercyclic operators.” Kadel’s presentation provided a description of the spectral properties of operators that are hypercyclic.
Dr. Jean-Jacques Kengwoung-Keumo, Assistant Professor: (1) “Competition between a nonallelopathic phytoplankton and an allelopathic phytoplankton species under predation.” This research proposes a model of two-species competition in the chemostat for a single growth-limiting, nonreproducing resource that extends that of Roy (2009). (2) “Racial and Gender Disparities in Incidence of Lung and Bronchus Cancer in the United States: A Longitudinal Analysis.” Certain population groups in the United States carry a disproportionate burden of cancer. This work models and analyzes the dynamics of lung and bronchus cancer age-adjusted incidence rates by race, gender, and prevalence of daily smoking in 38 states, the District of Columbia, and eight U.S. geographic regions from 1999 to 2012. This longitudinal model can help health professionals and policy makers make predictions of age-adjusted incidence rates for lung cancer in the U.S. in the next five to 10 years.
Dr. Narayan Thapa, Chair, Department of Mathematical Sciences: “On the numerical solution of second order hyperbolic partial differential equations.” This preliminary report on Thapa’s research presents a computational algorithm for approximate solutions of the adjoint system to estimate optimal parameters.
January 27, 2017