Office 417F EMCS Building
Telephone +1 423 425 4019
Facsimile +1 423 425 4586
I came to the University of Tennessee at Chattanooga in August 2011 from Boston College, where I had been on faculty for a little over a year, and currently work as an assistant professor of mathematics. After earning my doctor of philosophy degree in May 2007 under the direction of Professor Alexandru Zaharescu at the University of Illinois at Urbana-Champaign, I worked as a visiting assistant professor/post-doctoral faculty at the University of Rochester until June 2010. Professor Steven M. Gonek, my post-doctoral mentor, influenced my reading and helped to direct my thought toward some interesting problems that have preoccupied me in my work. Together, we investigated the zeros of the partial sums of the Riemann zeta-function. Our research is ongoing, as there are gaps in our study so far that need to be filled and other directions to be explored. During this time, I also studied the distribution of prime numbers with Professor Daniel A. Goldston at San José State University. In December 2010, we resolved how the Hardy-Littlewood prime k-tuple conjecture determines the jumping champions. Memories!
Area of Research
My area of research is in number theory. My favorite topics are L-functions, prime numbers and Farey fractions. I also study probability theory, especially random polynomials.
I am dedicated to promoting significant learning experiences among all my students. I love learning, teaching mathematics on various levels, and advising students. In the fall term of 2014, I will be teaching the following courses:
MATH 1830: Calculus for Management, Life, and Social Sciences (2 sections)
MATH 4130/5130: Introduction to Probability and Statistics (2 sections)
Students can access all my course materials by logging in to the UTC Learn system.
I am currently seeking to be more actively involved in the mentoring of young mathematicians. Undergraduate students who are interested in working on a senior capstone research project and graduate students who are looking for a thesis adviser are encouraged to contact me. Come by my office for a meeting anytime!
Here are my graduate students and their research topics:
Ashley Holcombe, The index of a Farey sequence (May 2014)
Gentry Jones, Option valuation using the Fourier transform (December 2014)
Research Experiences for Undergraduates
Recently, the department received very generous financial support from the National Science Foundation to organize and set up a Research Experiences for Undergraduates (REU) Site in Differential/Difference Equation Models and Number Theory for the academic years 2013-2015 (National Science Foundation Grant DMS-1261308).
In the summer of 2013, nine undergraduate students participated in the REU program. I was fortunate to mentor the following three students in number theory:
Kathryn Crosby (Oral Roberts University)
Jordan Eliseo (University of North Carolina at Greensboro)
David Mazowiecki (William Paterson University)
Our paper on the zeros of partial sums of the square of the Riemann-zeta function has been accepted for publication in Springer Proceedings in Mathematics and Statistics.
This summer, we have another group of nine energetic undergraduate students. I am delighted to mentor the following four students in classical analysis and probability theory:
Katrina Ferrier (University of Tennessee at Chattanooga)
Micah Jackson (Georgia Southern University)
Dhir Patel (Rutgers University)
Huong Tran (Georgia Institute of Technology)
August 1, 2014: Dhir and Huong have been invited to present a 20 minute report talk based on our joint work at the forthcoming Young Mathematicians Conference (YMC) at Ohio State University, August 22-24, 2014. This wonderful conference for undergraduate student researchers has a very competitive review process with over 40 mathematics faculty reviewers. Only 50 abstracts out of 140 abstracts submitted by 200 students were selected for invitation to YMC. Congratulations, Dhir and Huong!
Outreach and Engagement
In effort to draw exceptional high school students to mathematics and to pursue undergraduate studies in mathematics, science or engineering, as well as many other fields, I will try to engage and catapult students who wish to obtain a broader conceptual understanding of the calculus before entering college to a higher level of proficiency. The intent is to promote and stimulate critical thinking through numerical, graphical and symbolic approaches to problem solving.
Location: Mission Chattanooga's PAX Center, 1426 Williams Street
Date: August 29 through October 31, 2014
Time: Every Friday evening, 6:00 p.m. to 7:15 p.m.
Many thanks to the Mission Chattanooga for their welcome and support.
Travel and Meetings
You can find me presenting talks at the following meetings and conferences:
SERMON 2013 (SouthEastern Regional Meeting on Numbers), High Point University, High Point, North Carolina, April 13-14, 2013
INTEGERS 2013 (The Erdős Centennial Conference), University of West Georgia, Carrollton, Georgia, October 24-27, 2013
Links and Miscellany
Here are some of my favorite links:
‘And gladly wolde he lerne, and gladly teche.’
Geoffrey Chaucer, The Canterbury Tales