Welcome to my Homepage!
428 Little Hall.
- 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
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.
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
My third book, Introduction to Enumerative Combinatorics, was published by MacGraw-Hill,
with a copyright year of 2007. It is available for purchase
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.
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.
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
The Number of Ways to Assemble a Graph that, among other things,
applies a very strong recent result of
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
If you read this through a computer with MathSciNet access, you can
check the reviews of my publications here.
See a list of my
Read my detailed cv.
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
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.
I am honored to have been inducted in the
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.
- Micah Coleman
- Matthew Yancey
- Bill Griffiths
- Christian Jones
- Rebecca Smith
- Dan Warren
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.
- In the academic year 2012-13, I am spending my sabbatical
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
- 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.
You are visitor number
since October 17, 2002.
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Last modified: Tue Dec 7 17:59:53 EST 2010