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Andrew LedoanAndrew Ledoan 

Assistant Professor


Mailing Address
Department of Mathematics 
College of Arts and Sciences 
University of Tennessee at Chattanooga
 
415 EMCS Building (Mail Stop 6956) 
615 McCallie Avenue 
Chattanooga, Tennessee 37403-2598


Office 417F EMCS Building 
Telephone +1 423 425 4019 
Facsimile +1 423 425 4586 
Electronic-Mail andrew-ledoan@utc.edu

 

 

 

 

General Information

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.

 

Teaching Assignments

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.

 

Master's Students

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)

  • Benjamin Kimsey, The distribution of prime numbers (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:

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:

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!

  

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

  • REU 2014 (Combinatorics, Number Theory and Graph Theory), University of West Georgia, Carrollton, Georgia, July 25, 2014 (additional information)

 

Links and Miscellany

Here are some of my favorite links:

 

‘And gladly wolde he lerne, and gladly teche.’ 
      Geoffrey Chaucer, The Canterbury Tales

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