Jeffrey Paul Wheeler, Ph.D.

The University of Pittsburgh, Department of Mathematics Contact Information: Department of Mathematics School of Arts and Sciences University of Pittsburgh 301 Thackeray Hall Pittsburgh, PA 15260 Office: Thackeray 607 Office Hours: MWF 1:00-2:00 (or by appointment) Telephone: (412) 624-8315 Fax: (412) 624-8397

Carnegie Mellon University, Tepper School of Business Contact Information: Tepper School of Business Carnegie Mellon University 5000 Forbes Avenue Pittsburgh, PA 15213 Office: TBA in March Office Hours: TBA in March Business School phone: (412)268-2268

Education

B.A. in Mathematics and Statistics, Miami University, Oxford, Ohio (1990),

• Department of Mathematics and Statistics, Miami University.
• Miami's hockey team finishes as National Runner-up in the 2009 NCAA tournament (so close!).
• For a nice overview of Miami University, especially the name "Miami" see here.

M.Sci. in Mathematics, The University of Tennessee , Knoxville (2002),

• Department of Mathematics, The University of Tennesee.

Ph.D. in Mathematics, The University of Memphis (2008).

• Department of Mathematical Sciences, The University of Memphis.
• U.S. News & World Report ranks Memphis' Discrete Mathematics and Combinatorics program as 14th best (or here) in the country.
• Jeff's research earns a FIRST PLACE finish in the Math and Computer Science division of the 20th Annual Student Research Forum at the University of Memphis.
• Four of the top five coauthors with Paul Erdos (ranked by number of joint papers) were at the University of Memphis [Sarkozy, Faudree, Schelp, and Rousseau] Jeff's final year; two of which are on his committee [Sarkozy and Rousseau].

Research Interests

Number Theory, Combinatorics, and Algebra.

Curriculum Vitae

CV.pdf

Teaching Statement

Teaching Statement.pdf

Research Statement

Research Statement.pdf

Can't view the .pdf files? Download Adobe Reader here.

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Papers Section

1. "Additive Properties of Pairs of General Sequences" (with Fabricio Benevides, Jonathan Hulgan, Nathan Lemons, Cory Palmer, and Ago-Erik Riet) - Acta Arithmetica 140 (2009), 105-118..
2. The Erdos-Heilbronn Problem for Finite Groups (with Paul Balister) - Acta Arithmetica 139 (2009), 185-197.
3. The Cauchy-Davenport Theorem for Finite Groups (with Paul Balister) - submitted to the Electronic Journal of Combinatorial Number Theory.

Notes, etc.

1. Master's Thesis: The abc Conjecture
   -as high as #4 when Googling the abc Conjecture
   -featured on the abc Conjecture Homepage.
2. Existence of Constant Ratio Sequences - in Pi Mu Epsilon Journal.

Works in Progress

• "An Inverse Thereom for the Erdos-Heilbronn Problem for Finite Groups".
• "h-fold Convergence of Sumsets".

My Dissertation

• Coming Soon.

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Spring/Summer 2010 Conference Section

• Erdos Memorial Lecture Series, the University of Memphis, March



• For a list of Discrete Mathematics conferences beyond those that I am attending, please see Doug West's website.

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Teaching Section (See ratings and comments from former students at Rhodes College and the University of Memphis: ratemyprofessors.com - Tennessee as well as ratings and comments from Pitt Students.)

• Summer2 2010
Pitt - Math 2025 - Algebraic Number Theory (graduate).



• Spring 2010
Pitt - Math 1250 - Abstract Algebra
Pitt - Math 0230 - Calculus 2

• Linear Differential Equations (Stewart)
  
• 2nd Order Linear Differential Equations (Stewart)
  
• Nonhomgeneous Linear Differential Equations (Stewart)
  
• Applications of 2nd Order LDEs (Stewart)
  
Pitt - Math 0220 - Calculus 1
Pitt - Math 0220 - Calculus 1
Carnegie Mellon University - Business Administration 70-460 - Mathematical Models for Consultants (Mini-term IV)



• Fall 2009
Pitt - Math 0413 - Introduction to Theoretical Mathematics
Pitt - Math 0240 - Calculus 3
Pitt - Math 0240 - Calculus 3
Pitt - Math 0220 - Calculus 1



• Spring 2009
Pitt - Math 0220 - Calculus 1

• The Final is Thursday, April 23 from 8am-9:50am in room CHVRN 00012.
• Lab Mon 11-11:50 GSCC 126, Recitation Wed 11-11:50 PUBHL A216. The GTA is Mark DeSantis, E-mail: mjd34@pitt.edu, Office: Thackeray 623
  Lab Mon 11-11:50 GSCC 126, Recitation Wed 11-11:50 PUBHL A522. The GTA is Ryan O'Grady, E-mail: rmo3@pitt.edu, Office: Thackeray 623
  Lab Mon 11-11:50 GSCC 126, Recitation Wed 11-11:50 BENDM 423. The GTA is Evgueni Trofimov, E-mail: evt3@pitt.edu, Office: Thackeray 616
• Syllabus / Find the Departmental Syllabus here.
  

Pitt - Math 0240 - Calculus 3

• The Final is Thursday, April 23 from 8am-9:50am in room LAWRN 00120.
• Midterm 2 Key.
• Lab Tue 11-11:50 GSCC 126, Recitation Thu 11-11:50 BENDM 1020. The GTA is Hemant Muley, E-mail: hgm6@pitt.edu, Office: Thackeray 520
• Syllabus / Find the Departmental Syllabus here.
  

Carnegie Mellon University - Business Administration 70-460 - Mathematical Models for Consultants

• The Final is Thursday, May 7, 5:30-8:30p.m.
• Lecture notes for Linear Programming.
• Syllabus.

Carnegie Mellon University - Math 21-801 - Additive Combinatorics

• Terrance Tao's Lecture Notes for Additive Combinaotrics.
• Ben Green's Lecture Notes for Additive Combinaotrics.
• Imre Rusza's Booklet for Additive Combinaotrics.
• J. Wheeler's Lecture Notes on the Polynomial Method.
• K. Soundararajan's Lecture Notes for Additive Combinaotrics.
• Eliahou-Kervaire Survey Paper on Additive Combinaotrics.
• Zhi-Wei Sun's Notes on Szemeredi's Theorem.


• Fall 2008
Pitt - Math 0230 - Calculus 2
NOTE: the final is Wednesday, December 10 , 8:00-9:50am in room 000L9 of Clapp Hall (on Ruskin Ave).
• Some practice exams are at Angela Athanas'website and at Huiqiang Jiang's website.
• Homework to be Submitted
  
• Final Homework Solutions
  
• Exam 2 Keys
  
• The Binomial Theorem
  
• Handout - Infinite Sequences and Series
  
• Exam 1 Keys
  
• Syllabus / Find the Departmental Syllabus here.
  

Duquesne - Math 115 - Calculus 1
NOTE: the final is Wednesday, December 17 , 8:45-10:45 in FH 714
• Exam 2 Key
  
• The Binomial Theorem
  
• Exam 1 Key
  
• Syllabus
  


• Spring 2008
Math 2702 - Introduction to Proofs/Fundamentals of Mathematics
• Syllabus
  
• Class Notes - Logic
  
• Homework #2
  
• Homework #3
  
Math 4171 - Special Problems in Math - Galois Theory
• Textbook: "Galois Theory" by Ian Stewart (Chapman & Hall/CRC Mathematics)

• Fall 2007
Math 2702 - Introduction to Proofs/Fundamentals of Mathematics
• Syllabus
  
• Class Notes - Logic
  
• Homework #2 Solutions
  
• Homework #3 Solutions
  

• Spring 2007
Math 2701 - Discrete Structures
• Syllabus
  
• Exam 1
  
• Exam 2
  
• Recurrence Relations Class Notes
  
• Exam 3
  
• Homework Solutions
  

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Problem Section

• Existence of Constant Ratio Sequences
  • Problem
  • Solution (with Jonathan Hulgan) in the Pi Mu Epsilon Journal.
  
  Simpsonized Jeff (visit Simpsonize Me)
  

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  Jeff's Guestbook
  

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  Help Me Pay My Bills Section
  
  

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  Photo/Video Section

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  See the video
  • of the kids dancing on New Year's Eve ( Jackson stops the show ), December 31, 2009, Carnival Cruise Lines. (2:05)
  • of our newborn son Jackson Doyle Wheeler, October 5, 2008. (1:38)
  • of Anna after moving to Pittsburgh August 2008. (1:28)
  • of Anna at 1 1/2 on a cruise ship December 2007. (3:29)
  • of Anna's favorite word. (0:04)
  • of Anna'a arm, May 2008. (0:15)
  • of Anna'a new sound, March 2007. (0:25)
  • of Anna'a favorite show, March 2007. (0:47)
  
  See more photos in our online albums. Daughter Anna's First Graph Theory Talk
  Miami University - Middletown, February 2008
  

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  Hiking with wife, Jamie, in Ireland, August 2005
  
  Fifth anniversary lunch with Jamie, Maui, June 2005
  
  Jamie's birthday breakfast in Paris, August 10, 2005
  
  Lunch in Dublin, Ireland, August 2005 ("Food is just wasted calories; it doesn't get you drunk".)
  
  Scottish Highlands, August 2005
  
  With Jay and Karen Umsted, Trinity College, Dublin, August 2005
  

  Trinity College Square,...

  ...Cambridge, July 2005

  
  

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  A break from the San Diego AMS/MAA Joint Meetings with Matt Cathey (Wofford, SC) and Hem Raj Joshi (Xavier, OH), January 2008
  
  Dissertation supervisor Paul Balister's surprise 40th, December 2006
  
  It's never too early for coffee time with Béla and Gaby Bollobas, December 2006
  
  Jamie receiving FedEx's highest award from founder and CEO Fred Smith
  
  Snowshoeing in the Rockies with Rob Morris and Amites Sarkar, March 2005
  
  With Fox News and Shepard Smith, Summer 2006
  
  A break from the AMS meeting with Jonathan Cutler, Amites Sarkar, and Rob Morris, Lincoln, Nebraska, March 2005
  

  Giving a talk to the Cantor Sect...

  ...with Anna, September 28, 2006

  
  
  Anna's first graduate mathematics course with David Bond and Jonathan Hulgan, Fall 2006
  
  Anna's first math teacher, András Gyárfás, Fall 2006
  
  Anna explaining her latest conjecture to Béla, Fall 2006
  
  Gyula Károlyi presenting a familar problem at the 2005 Erdos Lectures Gyula's website
  

  Brother David...

  ...winning a Larry the Cable Guy look-a-like contest

  
  
  AMS Spring Central Meeting at Jeff and Jamie's alma mater (a Miami merger) March 2007
  
  Getting wings at Mac and Joe's, Oxford, Ohio, March 2007
  
  An immaculate reception at the Pittsburgh airport - GO STEELERS!
  
  Super Bowl 43 in Sixburgh
  
  Anna, Jamie, and (Jamie's brother) Jason at the Commisary - we miss Memphis BBQ!