Arthur John "Jack" Lohwater (October 20, 1922 - June 10, 1982) was an American mathematician.

He obtained a Ph.D. in mathematics at University of Rochester (1951), on the dissertation The Boundary Values of a Class of Analytic Functions, advised by Wladimir Seidel.^[1] Later he joined the faculty at University of Michigan and Case Western Reserve University. He was editor of Mathematical Reviews (1962–65).^[2] With Norman Steenrod and Sydney Gould he established important ties with Russian mathematicians, beginning with conferences in Moscow (1956, 58) and resulting in a dictionary. Lohwater died after a long battle with lung cancer.^[3] He was married to the mathematician Marjorie White Lohwater (1925–2007).^[4]

• Русско-английский словарь математических терминов. (Russian-English Dictionary of the Mathematical Sciences) (American Mathematical Society, 1961). The inverse was published by Soviet Academy of Sciences (1961).
• The theory of cluster sets (Cambridge University Press, 1966). With Edward Collingwood.
• Global Differentiable Dynamics, Proceedings of the Conference Held at Case Western Reserve University, Cleveland, Ohio, June 2–6, 1969. With Otomar Hájek and Roger C. McCann (editors)

• Ladyzhenskaya, O. A.; John (1985). The Boundary Value Problems of Mathematical Physics. Applied Mathematical Sciences. Vol. 49. New York, NY: Springer New York. doi:10.1007/978-1-4757-4317-3. ISBN 978-1-4419-2824-5. Retrieved 2022-09-15.

• Lohwater, A.J.; Seidel, W. (1948). "An example in conformal mapping". Duke Mathematical Journal. 15 (1). Duke University Press: 137–143. doi:10.1215/s0012-7094-48-01516-6.
• Lohwater, A.J. (1952). "The boundary values of a class of meromorphic functions". Duke Mathematical Journal. 19 (2). Duke University Press: 243–252. doi:10.1215/s0012-7094-52-01925-x.
• Lohwater, A.J. (1953). "On the Schwarz reflection principle". The Michigan Mathematical Journal. 2 (2). The University of Michigan: 151–156. doi:10.1307/mmj/1028989920.
• Gehring, FW; Lohwater, A.J. (1958). "On the Lindelӧf theorem". Mathematische Nachrichten. 19 (1–6). Wiley Online Library: 165–170. doi:10.1002/mana.19580190111.
• Lohwater, A.J.; Piranian, G.; Rudin, W (1955). "The derivative of a Schlicht function". Math. Scand. 3: 103–106. doi:10.7146/math.scand.a-10430.
• Mathematics in the Soviet Union, in Science 17 May 1957: 974-978
• Lohwater, A.J.; Piranian, G. (1957). The boundary behaviour of functions analytic in a disk. Annales Academiæ Scientiarum Fennicæ: Mathematica. Helsinki: Suomalainen tiedeakatemia.
• Lohwater, A.J.; Bruckner, A.M.; Ryan, F. (1969). "Some non-negativity theorems for harmonic functions". Annales Academiae Scientiarum Fennicae. A 1. Suomalainen Tiedeakatemia.
• The boundary behaviour of analytic functions, in Itogi Nauki i Techniki, Mat. Anal., 10:99-259, 1973
• Lohwater, A.J.; Pommerenke, C. (1973). On normal meromorphic functions. Annales Academiae Scientiarum Fennicae: 1 : Mathematica. Suomalainen Tiedeakatemia. ISBN 9789514101250.
• "Introduction to Inequalities", 1982 (unpublished, reproduced with permission of Marjorie Lohwater) used in the "Introduction to Inequalities" course taught by Lohwater.

• Guggenheim fellowship 1955 (mathematics)^[5]