Ledoan, Andrew

Visiting Assistant Professor

Department of Mathematics
908 Hylan Building
University of Rochester
Rochester, NY 14627

Phone: (585)275-4424
Fax: (585)273-4655
E-mail: ledoan(at)math.rochester.edu


General Information

Ph.D., Mathematics, University of Illinois, Urbana, 2007

I am a visiting assistant professor of mathematics at the University of Rochester. I study analysis and number theory, especially Farey sequences, prime numbers, and L-functions.

Teaching

I enjoy teaching and helping students. There are many new ideas for teaching and learning. In Fall 2007 I taught MTH201 (Introduction to Probability) and MTH210 (Introduction to Financial Mathematics). In Spring 2008 I will be an instructor for the following two courses.

My office hours for Spring 2008 are MW 1230-1400 for MTH164 and MW 1430-1600 for MTH141 (and, also, by appointment).

In Fall 2008 I will be an instructor for the following two courses.

MTH210 is an undergraduate course on some mathematical aspects of finance. Most of the course will be dedicated to exploring the implications of a very basic model, called the binomial model, involving financial derivatives such as options. We will proceed very slowly with this, since it illustrates the central idea of arbitrage pricing. We will employ the binomial model, and more generally the tree model, to understand a number of topics such as Black-Scholes and interest-rate derivatives. We will construct a theory from very simple examples, and we will take this as leisurely as needed. We will be using Capinski and Zastawniak's Mathematics for Finance: An Introduction to Financial Engineering as our main text. It is easier to follow than Roman's Introduction to the Mathematics of Finance: From Risk Management to Options Pricing. Roman's is a good second text and the mathematical exposition is more sophisticated, yet meaningful. Finally, my lecture notes in Adobe Portable Document Format (PDF) and a class diary will be posted here.

Research

10. (with A. Zaharescu) On square-full divisors of square-full numbers, in preparation.
9. (with C. Gugg) Computations on integers of the form $p+g^k$, preprint.
8. The distribution of Farey points in short intervals, submitted.
7. (with A. Zaharescu) Real moments of the restrictive factor, submitted.
6. (with E. Alkan, A. Zaharescu) Asymptotic behavior of the irrational factor, submitted.
5. (with E. Alkan, M. Vajaitu, A. Zaharescu) On the index of fractions with square-free denominators in arithmetic progressions, to appear in The Ramanujan Journal.
4. (with E. Akan, A. Zaharescu) On Dirichlet $L$-functions and the index of visible points, Illinois J. of Math., Vol. 51, No. 2 (Summer 2007), 455-477.
3. (with E. Alkan, M. Vajaitu, A. Zaharescu) Discrepancy of sets of fractions with congruence constraints, Rev. Roumaine Math. Pures Appl. 51 (2006), no. 3, 265-276.
2. (with E. Alkan, A. Zaharescu) A parity problem on the free path length of a billiard in the unit square with pockets, Funct. Approx. Comment. Math., Vol. 35 (2006), 19-36.
1. (with E. Alkan, M. Vajaitu, A. Zaharescu) Discrepancy of fractions with divisibility constraints, Monatshefte für Mathematik, Vol. 149 (2006), DOI 10.1007/s00605-006-0383-y, No. 3, 179-192.