Department of Mathematics
Western Kentucky University
1906 College Heights Blvd #11078
Bowling Green, KY 42101-1078 email: tom.richmond
[at] wku.edu
Skype: trichmondwku
513-666-1159
FAX: 270-745-3699
Education:
Ph.D. 1986 Washington State University
M.A. 1983 Duke University
B.S. 1981 Delta State University
Employment:
2016-present, University Distinguished Professor, Western Kentucky
University
1996-present Professor, Western Kentucky University
1999-2000 Visiting Scholar, Technische Universitaet Darmstadt
(Darmstadt,Germany)
1991-1996 Associate Professor, Western Kentucky University
1986-1991 Assistant Professor, Western Kentucky University
Honors:
2023 Meritorious Service Award, Mathematical Association of America
2014 Award for Distinguished College or University Teaching,
Kentucky Section, Mathematical Association of America
2009-2010 Award for Advising, WKU Ogden College of Science and
Engineering
2007-2009 Chair, Kentucky
Section,
Mathematical Association of America preceded by a 2-year term
as Chair-Elect.
Courses Taught:
Math 100
Intermediate Algebra
Math 109 General Mathematics
Math 116 Fundamentals of College Algebra
Math 117 Trigonometry
Math 118 College Algebra and Trigonometry
Math 118 College Algebra and Trigonometry (lab section)
Math 119 Fundamentals of Calculus
Math 120 Elements of Calculus I
Math 122 Calculus of a Single Variable I
Math 136 Calculus and Analytic Geometry I
Math 136 Honors Calculus and Analytic Geometry I
Math 137 Caclulus and Analytic Geometry II
Math 137 Honors Caclulus and Analytic Geometry II
Math 183 Introductory Statistics
Math 211 Mathematics for Elementary Teachers I
Math 212 Mathematics for Elementary Teachers II
Math 237 Multivariable Calculus
Math 275 Introductory Topics (Number Theory)
Math 275 Introductory Topics (Mathematics of Puzzles and Games)
Math 275 Introductory Topics (Cryptography)
Math 307 Introduction to Linear Algebra
Math 310 Introduction to Discrete Mathematics
Math 315 Theory of Numbers
Math 317 Introduction to Algebraic Systems
Math 331 Differential Equations
Math 337 Elements of Real Analysis
Math/CS 371 Honors Advanced Computational Problem Solving
Math 350 Advanced Engineering Mathematics
Math 398 Independent Study
IND 403 Honors Thesis
Math 409/409(G) History of Mathematics
Math 411/411(G) Problem Solving for Elementary and Middle
School Teachers
Math 417 Algebraic Systems
Math 431/431(G) Intermediate Analysis I
Math 432/432(G) Intermediate Analysis II
Math 439 /439(G) Topology
Math 450 /450(G) Complex Variables
Math 475 Selected Topics in Mathematics
Math 498 Senior Seminar
Math 500 Readings in Mathematics
Math 509 History of Modern Mathematics
Math 517 Topics from Algebra
Math 532 Real Analysis
Math 542 Advanced Discrete Mathematics
Math 539 Topology II
Math 590 Special Topics in Mathematics
Math 599 Thesis Research and Writing
Selected Presentations:
Summer Topology Conference, Youngstown, OH, July 2023.
Summer Topology Conference, Vienna, Austria, July 2022.
Summer Topology Conference, Johannesburg, South Africa, July
2019.
Summer Topology Conference, Western Kentucky University, July
2018.
Summer Topology Conference, Dayton, June 2017. (semiplenary
lecture)
Spring Conference on Topology and Dynamical Systems, Jersey City,
April 2017.
Summer Topology Conference, Leicester (England), July 2016.
Colloque International Sur les Mathematiques a Gafsa, (Tunisia),
July 2015
Summer Topology Conference, National Univ. of Ireland, Galway,
June 2015.
University of Gafsa Categorical Topology Seminar (Tunisia),
January 2015.
Brno Technical University (Czech Republic), December 2013.
Workshop on Coverings, Selections, and Games in Topology, Caserta,
Italy, June 2012.
Summer Topology Conference, City College of New York, July 2011.
University of Siegen (Germany), June 2011.
AMS Southeast Section Meeting, Georgia Southern University, March
2011.
Summer Topology Conference, Brno Technical University (Czech
Republic), July 2009.
On Topology and Order:
Lower separation axioms in bitopogenous spaces (joint with J.
Slapal), Mathematica Slovaca, (to appear)
Complements of topologies with short specialization quasiorders
(joint with V. Pierre), Topology Proceedings, 61 (2023)
145-153.
The Lattice of Functionally Alexandroff Topologies (joint with J.
Menix), Order 38 (2021) 1-11.
Complements of Convex Topologies on Products of Finite Totally
Ordered Spaces (joint with A. Mhemdi), Positivity,
21(4) (2017) 1369-1382.
Complementation in the Lattice of Locally Convex Topologies, Order,
Vol. 30, no. 2 (2013) 487-496.
Topologies Arising from Metrics Valued in Abelian l-Groups (joint with R.
Kopperman and H. Pajoohesh), Algebra Universalis, 65
(2011) 315-330.
Collections of Mutually Disjoint Convex Subsets of a Totally
Ordered Set (joint with T. Clark), Fibonacci Quarterly,
Vol. 48, no. 1 (2010) 77-79.
On Counting: The Number of Convex sets in a Product of
Totally Ordered Sets (joint with Brandy Barnette and Warren
Nichols), Rocky
Mountain Journal of Math.49(2) (2019) 369-385.
The Number of Convex Topologies on a Finite Totally Ordered Set
(joint with T. Clark), Involve,Vol. 8, no. 1 (2015) 25-32.
On Algebra:
The Autohomeomorphism Group of Connected Homogeneous Functionally
Alexandroff Spaces (joint with Sami Lazaar and Houssem Sabri), Communications
in Algebra 47(9) (2019) 3818-3829.
On General Topology: k-Primal Spaces (joint with A. B.
Amor, S. Lazaar, H. Sabri), Topology and its Apps. 309
(2022)https://doi.org/10.1016/j.topol.2021.107907.
On Resolvable Primal Spaces (joint with
Intissar Dahane, Sami Lazaar, and Tarek Turki), Quaestiones Mathematicae,
42(1) (2019) 15-35.
Homogeneous
Functionally Alexandroff Spaces (joint with S. Lazaar and H. Sabri),
Bull. Austral. Math. Soc. 97(2) (2018) 331-339.
Maps Generating the Same Primal Space (joint with S. Lazaar and T.
Turki), Quaestiones Mathematicae 40(1) (2017) 17-28.
Transitions between 4-Intersection Values of Planar Regions (joint
with K. Bell), Applied General Topology 18(1) (2017)
183-202.
On Analysis:
Minimizing Times between Boundary Points on a Rectangular Pool
(joint with T. Miick), Missouri J. Math. Sci. 28(1) (2016)
2-14.
Cantor Sets Arising from Continued Radicals, (joint with T. Clark),
The Ramanujan Journal,
Vol.
33,
no 3 (2014) 315-327.
Continued Radicals, (joint with J. Johnson), The Ramanujan
Journal, Vol. 15, no. 2 (2008) 259-273.
On
Ordered Compactifications: Ordered
Compactifications:Connectedness
and Remainders (joint with Sinem Karatas), Questions and Answers in
General Topology, 32 (2014)
117-125.
Ordered Separation Axioms and the Wallman Ordered Compactification
(joint with A. McCluskey and H.-P. Kunzi), Publicationes
Mathematicae Debrecen, Vol. 73 no. 3-4 (2008), 361-377.
On Mathematics at the Undergraduate Level: An arithmetic triangle arising from a one-way street grid (joint
with M. Sword), College Math. Journal, Vol. 54 no. 2 (2023)
113-122.
Connected Subsets of a n x 2 Rectangle (joint with Samuel Durham), College
Math. Journal, Vol. 51 no. 1 (2020) 32-42.
Calculus with Curtains, College Mathematics
Journal, Vol. 49, no. 5 (2018) 369-370.
The Fastest Path between Two
Points, With a Symmetric Obstacle, (joint with Kathleen Bell and
Shania Polson), College
Math. Journal, Vol. 46, no. 2 (2015) 92-97.
Instant Insanity II (joint with Aaron Young), College Math.
Journal, Vol. 44, no. 4 (Sept. 2013) 265-272.
How to Recognize a Parabola (joint with B. Richmond), Amer.
Math. Monthly, Vol. 116, no. 10 (Dec. 2009) 910-922.
Characterizing Power Functions by Volumes of Revolution (joint with
B. Richmond), College Math. Journal, Vol. 29 no. 1 (Jan.
1998) 40-41.
Metric Spaces in which all Triangles are Degenerate (joint with B.
Richmond), Amer. Math. Monthly, Vol. 104, no. 8 (Oct. 1997)
713-719.
The Equal Area Zones Property (joint with B. Richmond), Amer.
Math. Monthly, Vol. 100 no. 5 (May 1993) 475-477.
