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Office Location: General Academic Building (GAB) 405.
| Office Hours: |
Mondays 11-1 and 2-3:30. |
| | Wednesdays 11-1 |
| | Fridays 11-Noon |
| | and by appointment |
 Contact Information
E-mail: wcherry@unt.edu
Phone: (940) 565-4303
Fax: (940) 565-4805
| Mailing Address: |
Department of Mathematics |
| University of North Texas |
| 1155 Union Circle #311430 |
| Denton, TX 76203-5017 |
| | |
| Delivery Address: |
Department of Mathematics |
| General Academic Building, Room 435 |
| University of North Texas |
| 225 S. Avenue B (Avenue B at Mulberry) |
| Denton, TX 76203 |
Spring '12 Courses
Fall '12 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.
Graduate Advising
If you are a UNT mathematics graduate student looking for an advisor
and are considering asking me, here is some basic information.
- If you want to choose me as a Ph.D. advisor, you should have
passed two of the following three qualifying exams: algebra, complex
analysis, or real analysis. Feel free to peruse my
publications page
to get a more detailed sense of some of my research interests.
If you are a Ph.D. student thinking of working
with me, but you have not yet passed your quals, then your first priority
should be passing your quals as soon as possible. We may begin toward a
research project once you have passed your qualifying exams.
- I can advise masters students on a variety
of topics in complex analysis, number theory, algebra, or geometry.
Former students have done projects with me in topics like
elliptic curves
with connections to
primarility testing
and
factorization, and on algebraic
points of small
height.
Feel free to drop by my office to discuss your interests with me.
Editorial Positions
I am a member of the editorial board of the
Bulletin of the Korean Mathematical Society.
Click here to submit a manuscript and be sure
to read the information for authors first.
Publications
click here for a list of my publications
or click here to find my preprints on the arXiv.
Faculty Profile (CV)
Click
here to see my UNT Faculty Profile.
Click here to see my author profile
in Mathematical Reviews.
Click here to see my citations
according to Google Scholar.
Look me up
in the Mathematics Genealogy Project.
Conferences I will be attending
None currently scheduled.
Educational/Professional History
click here for a brief description of my
educational and professional background
Maple Tutorial
Fun and Games
Miscellany
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Beautiful Numbers, by
John R. Swallow
[American Scholar 64 (1995)]: A delightful essay
written by a graduate school colleague of mine about his transformation from
a first-year graduate student to a successful mathematician and scholar.
I recommend this essay to new graduate students struggling with deciding
what to study, who to choose as an advisor, and finding one's personal
mathematical aesthetic. |
|
Ludic Proof: Greek Mathematics and the Alexandrian Aesthetic,
by Reviel Netz [Cambridge, 2009]: A book I am looking forward
to reading about the literary qualities of mathematics and commonalities
between writing mathematics (which I mostly understand)
and writing poetry (which I mostly don't understand, but admire nonetheless).
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