
Research
If you're interested in a copy of a paper, or if you have any questions or comments,
please be in touch.
Books
 Mathematical Impossibilities, in preparation, a generalinterest book presenting the ideas and
people associated with certain fundamental mathematical questions.
 A Transition to Advanced Mathematics: A Survey Course with William W. Johnston
A textbook for a transition course surveying mathematics.
published by Oxford University Press, August 2009, ISBN: 9780195310764.
 Schaum's Easy Outlines: Logic, McGrawHill, New York, 2005. ISBN: 0071455353.
An abridgement based on Schaum's Outline of Theory and Problems of Logic, Second Edition
by John Nolt, Dennis Rohatyn, and Achille Varzi, McGrawHill, New York, 1998.
Abridgment Editor: Alex M. McAllister, 135 pages.
Publications
 A Survey Transition Course, William W. Johnston and Alex M. McAllister,
expository publication, in PRIMUS: Problems, Resources, and Issues in Mathematics
Undergraduate Studies, Volume 22, Issue 1, 3042, February 2012.
available online at http://dx.doi.org/10.1080/10511970.2010.489200.
 Turing upper bounds for countable jump ideals,
research publication, in Nonstandard Models of Arithmetic and Set Theory,
Contemporary Mathematics,ISSN: 02714132, Volume 361, October 2004, 129  143.
 The Kentucky Section goes hightech: The tale of an enewsletter,
expository publication in Focus of the MAA, Volume 23, Number 2, February 2003, 8  9.
 Bounded Scott Set Saturation,
research publication in Mathematical Logic Quarterly, Volume 48, Number 2, 2002, 245  259.
 An Experiment that Worked: Revising the Calculus Curriculum, with William W. Johnston and
John H. Wilson, expository publication in Focus of the MAA, Volume 21, Number 8,
November 2001, 8  9.
 Computability in structures representing a Scott set,
research publication in Archive for Mathematical Logic, Volume 40, 2001, 147  165.
 Completions of PA: models and enumerations of representable sets,
research publication in Journal of Symbolic Logic, Volume 63, Number 3, September 1998,
1063  1082.
 Evaluation of highlevel boundbound and boundcontinuum
hydrogenic oscillator
strengths by asymptotic expansion,
(K. Omidvar and A.M. McAllister),
Physical Review A, Volume 51, Number 2, Febuary 1995, 1063  1066.
Manuscripts
 Reading Your Mathematics Textbook, (expository), September 1999, revised 2008, 1 page.
 An Introduction to LaTeX and VTeX, (expository), August 2003, revised 2004, 12 pages.
 Introduction to Maple, (expository), August 2002, 4 pages.
 A Dreamweaver Primer, (expository), May 2002, 28 pages.
 My Understanding of the ACS Information Fluency Project, (expository), Feb. 2002, 3 pages.
 The Turing partial order of wmodels defined via completions of arithmetic, (research),
Summer 2001, 15 pages.
 Scott Set Saturation and Relative Computability of Models and Enumerations, (research),
Summer 1998, 35 pages.
 Elementarily Equivalent Structures of all Noncomputable Degrees, (research), Fall 1996,
5 pages.
 Enumerations of all Noncomputable Degrees, (research), Fall 1996, 3 pages.
 Enumerations of Jump Ideals and Scott Sets, (research), Summer 1995, 7 pages.
Poetry published at Centre College
 #74 Danny, Vantage Point, Volume 36, Number 2, January 2003.
 #87 Questions, Vantage Point, Volume 36, Number 2, January 2003.

