William A. Cherry

Associate Professor of Mathematics

University of North Texas


Office Hours

Fall 2016

Office Location: General Academic Building (GAB) 405.
Office Hours:  Mondays 2-4
 Wednesdays & Fridays 10:30-11:30
 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


Fall '16 Courses

Math 2700.008 -- Linear Algebra & Vector Geometry
Class Meets MWF 1-1:50 in SAGE 330.
Final Exam: 10:30-12:30 Saturday, December 10 in SAGE 330.
Math 3610 -- Real Analysis II
Class Meets MWF 12-12:50 in GAB 317.
Final Exam: 10:30-12:30 Wednesday, December 14 in GAB 317.

Spring '17 Courses

Math 4060 -- Foundations of Geometry
Class Meets MWF 9:00-9:50 in WH 212.
Final Exam: Wednesday, May 10 from 8:00 a.m. to 10:00 a.m. in WH 212.

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.


  click here for a list of my publications or click here to find my preprints on the arXiv.
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 and other programs I will be attending

  Current Trends in Diophantine Geometry and Transcendence, Taipei, Taiwan, May 23-27, 2016

Educational/Professional History

  click here for a brief description of my educational and professional background

Maple Tutorial

Click here for a brief introduction to the computer algebra system Maple


Fun and Games

Click here to generate some "fractal" graphics associated with Newton's method.



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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