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Office Location: General Academic Building (GAB) 405.
| Office Hours: |
By appointment only over the summer |
 Contact Information
E-mail: wcherry@unt.edu
Phone: (940) 565-4303
Fax: (940) 565-4805
| Mailing Address: |
Department of Mathematics |
| P.O. Box 311430 |
| University of North Texas |
| Denton, TX 76203-1430 |
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| Delivery Address: |
Department of Mathematics |
| General Academic Building, Room 435 |
| University of North Texas |
| 225 Avenue B (Avenue B at Mulberry) |
| Denton, TX 76203 |
Fall '08 Courses
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| Math 3610 -- Real Analysis II |
| Class Meets TTh 11:00-12:20 in
Curry 210.
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| Final Exam: Thursday, Dec 11
10:30-12:30 in
Curry 210.
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Spring '08 Courses
Research Interests
I have done work that can be considered complex analysis, number theory,
and algebraic geometry. I am especially interested in connections
between rational solutions and functional solutions to systems of
algebraic equations. For instance, consider the equation of the unit circle,
x2+y2=1. This equation has many
rational solutions, such as (3/5)2+(4/5)2=1,
coming from Pythagorean triples. The unit circle equation also has the
"functional solution" (sin t)2+(cos t)2=1.
On the other hand, if n>3,
then xn+yn=1
has only a few rational solutions (this is
Fermat's Last Theorem/Weil's Theorem or the
Mordell Conjecture/Faltings Theorem, depending on what one means by
"few" and "rational"). Similarly,
xn+yn=1 has no
non-constant "entire function" solutions -- this follows easily from,
for instance, the Uniformization theorem. One area I often work in is
a field called "p-adic" analysis. Working with functions of p-adic numbers
is sort of halfway in between algebra and analysis, so the idea is it might
help us understand how functional solutions are related to rational solutions.
Another area I work in is Nevanlinna theory, which extends the Fundamental
Theorem of Algebra to meromorphic functions. Finally, I have research
interests in classical complex analysis, particularly using geometric methods
to better understand various inequalities.
Publications
click here for a list of my publications
Other Research Related Links
Educational/Professional History
click here for a brief description of my
educational and professional background
Fun and Games
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