Welcome to my Homepage!

Professor

428 Little Hall.

Books

My first book, A Walk Through Combinatorics, was published by World Scientific, first in 2002. This is an advanced undergraduate textbook in general combinatorics.
The second edition was published at the end of 2006. It had two new chapters, one on Algorithms and one on Computational Complexity.
The third edition of this book was published in Summer of 2011. It has two extra chapters, one on block designs and one on counting unlabeled structures. The book is currently being translated into Korean. Here is the errata for this latest edition.
My second book, Combinatorics of Permutations, was first published in June of 2004. The second edition was published in June 2012. You can watch a promotional video about the book.
In 2006, the book won an Outstanding Academic Title award from the American Library Association that graded it Essential. In 2012, the book was placed on the Basic Library List by the Mathematical Association of America. This means that the book is recommended for undergraduate mathematics libraries. See the review of the book on the MAA website.
This is a textbook for a special topic Graduate Course. The publisher is Chapman-Hall and CRC Press. Click here for some info about this book.
My third book, Introduction to Enumerative Combinatorics, was published by MacGraw-Hill, with a copyright year of 2007. It is available for purchase at Amazon.com . This is a textbook that focuses on Enumerative Combinatorics and that can be used at a variety of levels. Focusing on Part I, one can teach an undergraduate class from it, and focusing on Parts II and III, one can use it for an introductory graduate class. Click here for some info about this book. This book has also been placed on the Basic Library List by the Mathematical Association of America.
I have co-written a Calculus text, Concepts in Calculus I, with my colleague Sergey Shabanov, commissioned by the University of Florida, and published by the University Press of Florida. Here is the second volume, Concepts in Calculus II. These books are part of the University of Florida Online Calculus Initiative. Both are in their second edition.

Research

My most recent result is that more than 95.5 percent of all vertices in all binary search trees are at distance at most three from a leaf. See the preprint here.

A recent result of mine is that the Stanley-Wilf limit of 1324-avoiding permutations is at most 13.92.

With my colleague Andrew Vince, we have recently completed a paper entitled The Number of Ways to Assemble a Graph that, among other things, applies a very strong recent result of Doron Zeilberger.

I have recently finished a paper On surprising symmetries in 132-avoiding permutations. I am dedicating it to the memory of Herb Wilf. This paper has been published in the Electronic Journal of Combinatorics.

If you read this through a computer with MathSciNet access, you can check the reviews of my publications here.

See a list of my publications.

Read my detailed cv.

Funded Research

Our joint grant proposal with Meera Sitheram (UF CISE), Mavis McKenna (UF Brain Institute) and Andrew Vince (UF Math) has been funded by the NSF this October. The grant is for three years and its total amount is 420K.

An earlier joint grant proposal, written with Meera Sitharam and Mavis McKenna and submitted to the National Science Fundation and the National Institute of General Medical Sciences was accepted in the Summer of 2007. This interdisciplinary grant ran for four years, and carried a total value of 548,660 dollars.

In 2007, I was awarded a 10K grant for undergraduate research in the Life Sciences by the Howard Hughes Medical Institute. See the press release.

I am grateful for support by the National Security Agency. The NSA supported my research through three grants, in 2003-04, in 2005-06, and in 2007-08.

Teaching

I am honored to have been inducted in the Academy of Distinguished Teaching Scholars of the University of Florida.

In the Academic year 2012-13, I am on sabbatical.

Look at the homepages of my former graduate students.

Service

I am one of four editors for the new monograph series of CRC Press. If you want to publish a monograph, you can contact me.

I am one of the editors-in-chief for the Electronic Journal of Combinatorics.

Visiting Appointments

In the academic year 2012-13, I am spending my sabbatical in the Department of Molecular Genetics and Microbiology of UF.
In June of 2007, I spent two weeks as a visitor at the University of Saint Andrews, in Saint Andrews, Scotland.
In May of 2006, I gave a series of six 90-minute lectures at the University of the Witwatersrand in South Africa.
In Fall of 2005, I was a visiting professor at the University of Pennsylvania.
In May of 2003, I gave six talks and was a visiting scientist at the University of Bordeaux I.

See some pictures of my young family here.

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Last modified: Tue Dec 7 17:59:53 EST 2010